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Tutors Answer Your Questions about Sequences-and-series (FREE)
Question 229416: 1. Find the following sum : 6 + 8 +8 +10 + 12 +.......+100.
2. Find the nth term 7,49,343,2401,...
4,12,20,28.....
2,6,12,20
Click here to see answer by Alan3354(6092)   |
Question 230685: Carole's car averages 13.4 miles per gallon in city driving and 25.7 miles per gallon in highway driving. If she drove a total of 522.8 miles on 28 gallons of gas, then how many of the gallons were used for city driving?
Click here to see answer by josmiceli(3012)  |
Question 231008: Multiply
(5y+2t-3)(3y+6t+15)
Help please. I am not sure how I am supposed to do with this the best answer I have is (15y+12t-15)Do I still keep the parenthesis? Am I even close? Probably not right?
Click here to see answer by rfer(2688) |
Question 233139: I need to find the individual totals for 3 months that when added together, equal 88,635.
However, each month has a different total which reflects a .0043 percent of increase from that month, to the next month.
Ex. (Month 1 increases by .0043 to get Month 2) (Month 2 increases by .0043 to get Month 3) and all three months equal 88,635.
Does this make sense? Can you help me out? Thanks!
Click here to see answer by ankor@dixie-net.com(6693)  |
Question 233614: The cost of producing an initial bicycle is £1200 and each successive bicycle there after cost £50 less than the last one. How many bicycles can be made for £10000?
I believe I know the formula, however because the Sn is 'less than' I cant seem to get to the answer!!
Click here to see answer by stanbon(26291) |
Question 234492: What are the next two terms in this sequence?
15, 30, 20, 27, 25, 24, 30, 21, 35, 18, ___, ___
Click here to see answer by checkley77(7072) |
Question 235791: Hi! My question is: Find the partial sum S_n for a geometric series such that a_{4} = 216, a_{9} = 52488, and n = 10. I think I know the formula to use (Sn = a1 (1-r^n) / (1-r)) but 1.) I'm not completely sure and @. I don't know what to plug in where. Thank you very much!
Click here to see answer by Theo(675)  |
Question 236027: Find the annual rate of growth on an account that was worth $1000 in 1996 and was worth $1400 in 1999.
I have tried like this: 1996-1999 is 3 years, and it had raised $400
400/1000 x 100= 40% which means it has raised 40% in 3 years, so is the answer 40/3= 13.33% per year????
Please tell me if i'm right or wrong. Thanks very much!
Click here to see answer by scott8148(3382)  |
Question 238406: 1. Which of the following values is NOT equal to 34(58+9)?
A. 34 x 67
B. 58(34+9)
C. 34 x 58 + 34 x 9
D. 1,972 + 306
2. If 5 ounces is equal to 140 grams, then 2 pounds of ground meat is equal
to how many grams?
A. 863
B. 878
C. 896
D. 915
3. Which of the following is equal to 5.93 x 10-2?
A. 0.0593
B. 0.00593
C. 593
D. 5930
4. On a Map, 1 inch represents 20 miles. The distance between 2 towns is 6
1/5 inches. How many miles are actually between the two towns?
A. 65 miles
B. 84 miles
C. 124 miles
D. 138 miles
5. Sarah is twice as old as her youngest brother. If the difference between
their ages is 15 years. How old is her youngest brother?
A. 10
B. 15
C. 20
D. 25
6. Which of the following fractions is equal to 5/6?
A. 20/30
B. 15/24
C. 25/30
D. 40/54
7. The number of milliliters in 1 liter is
A. 10,000
B. 1,000
C. 0.1
D. 0.01
8. What is 1/9 of 9?
A. 1/9
B. 0
C. 1
D. 2
9. In his pocket, a boy has 3 red marbles, 4 blue marbles, and 4 green
marbles. How many will he have to take out of his pocket to ensure that he
has taken out at least one of each color?
A. 11
B. 7
C. 8
D. 9
10. Which fraction is equal to 0.20%?
A. 1/500
B. 1/40
C. 1/50
D. 1/400
11. Saleem can type a 20 page document in 40 minutes, Aysha can type it
in 30 minutes, and Raheel can type it in 24 minutes. Working together, how
much time will it take them to type the same document?
A. 5 minutes
B. 10 minutes
C. 18 minutes
D. 20 minutes
12. Of the following fractions, which is less than 2/3?
A. 7/8
B. 5/6
C. 3/4
D. 3/5
13. A hockey team won 6 games and lost 8. What is the ratio of wins to
number of games?
A. 6/8
B. 8/6
C. 3/7
D. 8/14
14. If the perimeter of a rectangular house is 25 1/3 yards, and the length is
22 feet. What is the width?
A. 16 feet
B. 35 feet
C. 37 feet
D. 40 feet
15. A recent study showed that an increase in body weight by 10 kilograms
resulted in a 0.15% increase in heart disease. What fraction is equal to
0.15%?
A. 3/2000
B. 2/750
C. 7/4000
D. 5/3462
16. 6.334 x 104 =
A. 0.0006334
B. 0.06334
C. 6334
D. 63340
17. Which of the following would be an appropriate unit to measure sugar for
a cookie recipe?
A. liters
B. cups
C. quarts
D. kilograms
18. The average of three numbers is V. If one of the numbers is Z and
another is Y, what is the remaining number?
A. ZY - V
B. Z/V 3 - Y
C. Z/3 V - Y
D. 3V- Z - Y
19. Two cyclists start biking from a trail's start 3 hours apart. The second
cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist
who is traveling at 6 miles per hour. How much time will pass before the
second cyclist catches up with the first from the time the second cyclist
started biking?
A. 2 hours
B. 4 ½ hours
C. 5 Ύ hours
D. 6 hours
20. Jamil can fill a pool carrying buckets of water in 30 minutes. Sue can do
the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How
quickly can all three fill the pool together?
A. 12 minutes
B. 15 minutes
C. 21 minutes
D. 23 minutes
21. Maria is reviewing her algebra quiz. She has determined that one of her
solutions is incorrect. Which one is it?
A. t 2t 3t = 32 t = 8
B. p - 3(p-5) = 10 p = 2.5
C. 4 y + 3 y = 28 y = 4
D. 5 w + 6 w 3w = 64 w = 8
22. What simple interest rate will Susan need to secure to make $2,500 in
interest on a $10,000 principal over 5 years?
A. 4%
B. 5 %
C. 6%
D. 7%
23. Given: a = i + j + k, a . b = 1 and a Χ b = j - k. Then, b is equal to
A. -2i
B. 2i + k
C. 3j
D. i
24. Consider points A , B , C and D with position vectors 7 i 4 j + 7 k , i
6j + 10 k, i , 3j + 4k and 5i j + 5k respectively. Then ABCD is a
A. rhombus
B. rectangle
C. parallelogram but not a rhombus
D. none
25. The value of a number is five times the sum of its digits. Find the
number.
A. 35
B. 45
C. 55
D. 65
26. What is the equivalent of 110 in Roman numerals?
A. XC
B. CX
C. LX
D. DX
27. 2+{4+(8-5-3)}=?
A. 6
B. 16
C. 12
D. 7
28. 5*2 is a three digit number with * as a missing digit. If the number is
divisible by 6, the missing digit is?
A. 2
B. 3
C. 6
D. 7
29. If Rank of a matrix is equal to No. of variable then it have
A. Non-Trivial solution , x = y = z ? 0
B. Trivial Solution , x = y = z = 0
C. x = y = 0, z ? 0
D. None
30. LCM of 10,16 and 25=?
A. 400
B. 200
C. 20
D. 160
31. If the value of x lies between 0 & 1 which of the following is the largest?
A. x
B. x2
C. x
D. 1/x
32. If 42 men can do a work in 15 days, how many men are required to
complete it in 21 days?
A. (a) 24
B. (b) 36
C. (c) 30
D. (d) none of these
33. The sum of all possible two digit number formed from three different one
digit natural number when divided by the sum of the original three number
is equal to:?
A. 18
B. 22
C. 36
D. none of these
34. In the first 10 over of a cricket game, the run rate was only 3.2. What
should be the run rate in the remaining 40 over to reach the target of 282
run?
A. 6.25
B. 6.5
C. 6.75
D. 7
35. There are four prime no written in ascending order. The product of the
first three is 385 and that of the last three is 1001.The last no is?
A. 11
B. 13
C. 17
D. 19
36. What is 1/3 of the difference of 90 and 36/
A. 10
B. 18
C. 15
D. 14
37. For x > 0, lim x ? 0 [ (1 / x) tanx] is equal to
A. 2
B. 1
C. 0
D. -1
38. The angle between the two tangents to the parabola y 2 = 4x drawn
from the point (1, 4) is
A. n/4
B. n/6
C. n/2
D. n/3
39. You are having 31kg of rice. You are provided with a 1kg stone for
weighing. In how many weights the 31kg of rice can be weighed.
A. 6
B. 34
C. 63
D. 5
40. The mode of the nos.7,7,7,9,10,11,11,11,12 is
A. 11
B. 7
C. 7 & 11
D. None of Above
41. L.C.M &H.C.F The L.C.M. (Lowest (or Least) Common Multiple) of two
numbers is 45 times to their H.C.F (Highest Common Factor). If one of the
numbers is 125 and sum of L.C.M. and H.C.F. is 1150, the other number is:
A. 215
B. 220
C. 225
D. 235
42. The cost of an item is Rs 12.60. If the profit is 10% over selling price
what is the selling price?
A. 10.86
B. 18.56
C. 15.86
D. 13.86
43. If we write all the whole no from 200 and 400, then how many of these
contain the digit 7 once and only once.
A. 32
B. 34
C. 35
D. 36
44. The sum of the three prime no is 100.If one of then exceed another by
36, then one of the?
A. 7
B. 29
C. 41
D. 67
45. In the numerals 0 to 99 which is the least repeated digit?
A. 9
B. 1
C. 0
D. 7
46. When a number is divided by 13, the remainder is 11.When the same
number is divided by 17; the remainder by 9.What is the number?
A. 339
B. 349
C. 369
D. data inadequate
47. If the upper triangular matrixes have diagonal elements 2, 4, 8 then
eigen value of this upper triangular matrix is
A. 2, 4, 8
B. 2, 4, 6
C. 7, 5, 6
D. 9, 10, 4
48. If two set have no element common, they are called
A. Disjoint sets
B. Overlapping sets
C. Complementary sets
D. Equivalent sets
49. {2,3,5,7,11,
} represent the first five
A. Positive odd number
B. Odd natural number
C. Prime number
D. Positive even number
50. Thirty men take 20 days to complete a job working 9 hours a day. How
many hours a day should 40 men work to complete the job?
A. 8 hrs
B. 7 1/2 hrs
C. 7 hrs
D. 9 hrs
51. Six bells commence tolling together and toll at intervals 2,4,6,8,10 and
12 seconds respectively. In 30 minutes how many times they toll together.
A. 4
B. 10
C. 15
C. 16
52. The mean of a binomial distribution is 3 and its variance is 3/2.Then the
number of trials is?
A. 6
B. 2
C. 3
D. 5
53. There are 12 yes or no questions. How many ways can these are
answered?
A. 1024
B. 2048
C. 4096
D. 144
54. A 4 cm cube is cut into 1 cm cubes. What is the percentage increase in
the surface area after such cutting?
A. 4%
B. 300%
C. 75%
D. 400%
55. Simple and compound interest at what rate percent compound interest
does sum .of money became four fold in 2 yrs?
A. 25%
B. 50%
C. 100%
D. 10%
56. A man loses 20% of his money and after spending 70% of the remainder
he is left with Rs. 270. Originally he had :
A. Rs. 1125
B. Rs. 1225
C. Rs. 1325
D. Rs. 1500
57. If x% of an hour is 2 minutes, x is equal to:
A. 3 1/3%
B. 2 3/4%
C. 3 2/3%
D. 4 7/8%
58. A number is increased by 10% and then reduced by 10%, then the
number :
A. Doesn't change
B. decreases by 1%
C. increases by 1%
D. none of these
59. Ravi's salary was reduced by 25%.Percentage increase to be effected to
bring the salary to the original level is
A. 20%
B. 25%
C. 33 1/3%
D. 30%
7. What is 25% of 25% is?
A. 50
B. 6.25
C. 0.0625
D. 625
60. If x and y are positive integer such that (3x+7y) is a multiple of 11,then
which of the following will also be divisible by 11?
A. 4x+6y
B. x+y+4
C. 9x+4y
D. 4x-9y
61. If 6x43-46y9=46y9=1904, which of the following should come in place
of x?
A. 4
B. 6
C. Cannot be determined
D. None of these
62. What is the product of the irrational roots of the equation (2x-1)(2x-
3)(2x-5)(2x-7)=9?
A. 3/2
B. 4
C. 3
D. 3/4
63. If x: y = 3:4, then (2x+3y): (3y-2x) =
A. 2:1
B. 4:1
C. 3:2
D. 3:1
64. The present ages of three persons are in proportions 4 : 7 : 9. Eight
years ago, the sum of their ages was 56. Find their present ages (in years)
A. 20, 35, 45
B. 8, 20, 28
C. 16, 28, 36
D. 20, 36, 46
65. Which of the following is not a rational number?
A. -4
B. 1/5
C. 0.8333333
D.
66. A study reported that in a random sampling of 100 women over the age
of 35 showed that 8 of the women were married 2 or more times. Based on
the study results, how many women in a group of 5,000 women over the
age of 35 would likely be married 2 or more times?
A. 55
B. 150
C. 200
D. 400
67. Jamil is traveling to a meeting that is 28 miles away. He needs to be
there in 30 minutes. How fast does he need to go to make it to the meeting
on time?
A. 56 mph
B. 37 mph
C. 41 mph
D. 49 mph
68. If Saleem can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10
minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it
take all 3 of them working together to mix the 20 drinks?
A. 2 minutes and 44 seconds
B. 2 minutes and 58 seconds
C. 3 minutes and 10 seconds
D. 3 minutes and 26 seconds
69. If Sami can do a job in 4 days that Lisa can do in 6 days and Tom can do
in 2 days, how long would the job take if Sam, Lisa, and Tom worked
together to complete it?
A. 0.8 days
B. 1.09 days
C. 1.23 days
D. 1.65 days
70. Jamil has 5 pieces of string. He needs to choose the piece that will be
able to go around his 36-inch waist. His belt broke, and his pants are falling
down. The piece needs to be at least 4 inches longer than his waist so he
can tie a knot in it, but it cannot be more that 6 inches longer so that the
ends will not show from under his shirt. Which of the following pieces of
string will work the best?
A. 3 feet
B. 3 Ύ feet
C. 3 ½ feet
D. 3 Ό feet
71. The last week of a month a car dealership sold 12 cars. A new sales
promotion came out the first week of the next month and the sold 19 cars
that week. What was the percent increase in sales from the last week of the
previous month compared to the first week of the next month?
A. 58%
B. 119%
C. 158%
D. 175%
72. If two planes leave the same airport at 1:00 PM, how many miles apart
will they be at 3:00 PM if one travels directly north at 150 mph and the
other travels directly west at 200 mph?
A. 50 miles
B. 100 miles
C. 500 miles
D. 700 miles
73. During a 5-day festival, the number of visitors tripled each day. If the
festival opened on a Thursday with 345 visitors, what was the attendance on
that Sunday?
A. 9,315
B. 1,035
C. 1,725
D. 3,105
74. Type a page in p minutes, what piece of the page can she do in 5
minutes?
A. 5/p
B. p - 5
C. p + 5
D. p/5
75. If Sally can paint a house in 4 hours, and John can paint the same house
in 6 hour, how long will it take for both of them to paint the house together?
A. 2 hours and 24 minutes
B. 3 hours and 12 minutes
C. 3 hours and 44 minutes
D. 4 hours and 10 minutes
76. If Leah is 6 years older than Saleem and Jamil is 5 years older than
Leah, and the total of their ages is 41. Then how old is Sue?
A. 8
B. 10
C. 14
D. 19
77. Jamil has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones,
and 4 blue ones. What is the minimum number of jellybeans she must take
out of her pocket to ensure that she has one of each color?
A. 4
B. 8
C. 12
D. 13
78. If 300 jellybeans cost you x dollars. How many jellybeans can you
purchase for 50 cents at the same rate?
A. 150/x
B. 150x
C. 6x
D. 1500/x
79. 7 1/2 - 5 3/8 =
A. 1 1/2
B. 1 2/3
C. 2 1/8
D. 3 1/4
80. You need 4/5 cups of water for a recipe. You accidentally put 1/3 cups
into the mixing bowl with the dry ingredients. How much more water in cups
do you need to add?
A. 1/3 cups
B. 2/3 cups
C. 1/15 cups
D. 7/15 cups
81. Which of these numbers is a factor of 21
A. 2
B. 5
C. 7
D. 42
82. If the average person drinks 8, (8oz) glasses of water per day, a person
who drinks 12.8 oz of water after a morning exercise session has consumed
what fraction of the daily average?
A. 1/3
B. 1/5
C. 1/7
D. 1/9
83. There are 8 ounces in a 1/2 pound. How many ounces are in 7 3/4 lbs?
A. 12 ounces
B. 86 ounces
C. 119 ounces
D. 124 ounces
84. Solve: 0.25 + 0.65
A. 1/2
B. 9/10
C. 4/7
D. 2/9
85. To which of the following?
A. 100,000
B. 0.1 x 105
C. 10 x 10 x 10 x 10
D. 102 x 102
86. Multiply 104 by 102
A. 108
B. 102
C. 106
D. 10-2
87. Find 8.23 x 109
A. 0.00000000823
B. 0.000000823
C. 8.23
D. 8230000000
88. 83,000 equals:
A. 83.0 x 104
B. 8.3 x 104
C. 8.3 x 103
D. 83.0 x 105
89. .00875 equals:
A. 8.75 x 10-2
B. 8.75 x 10-3
C. 8.75 x 10-4
D. 87.5 x 10-3
90. In the number 743.25 which digit represents the tenths space?
A. 2
B. 3
C. 4
D. 5
91. What is the mathematical average of the number of weeks in a year,
seasons in a year, and the number of days in January?
A. 29
B. 33
C. 32
D. 31
92. What is the median of the following list of numbers? 4, 5, 7, 9, 10, 12
A. 6
B. 7.5
C. 7.8
D. 8
93. What is the absolute value of -9?
A. -9
B. 9
C. 0
D. -1
94. Subtract the following numbers rounded to the nearest tenths place.
134.679, -45.548, -67.8807
A. 21.3
B. 21.25
C. -58.97
D. -59.0
95. What are 1230.932567 rounded to the nearest hundredths place?
A. 1200
B. 1230.9326
C. 1230.93
D. 1230
96. Round 907.457 to the nearest tens place.
A. 908.0
B. 910
C. 907.5
D. 900
97. A roast was cooked at 325° F in the oven for 4 hours. The internal
temperature rose from 32° F to 145° F. What was the average rise in
temperature per hour?
A. 20.2° F/hr
B. 28.25° F/hr
C. 32.03° F/hr
D. 37° F/hr
98. At a certain high school, the respective weights for the following subjects
are:
Mathematics 3, English 3, History 2, Science 2 and Art 1.
What is a student's average whose marks were the following: Geometry 89,
American Literature 92, American History 94, Biology 81, and Sculpture 85?
A. 85.7
B. 87.8
C. 88.9
D. 89.4
99. If Jack needs 2 ½ pints of cream to make a dessert. How many pints will
he need to make 3 desserts?
A. 2 ½
B. 3
C. 4
D. 7 ½
100. If a Ό of a teaspoon is 1 ml, then how many milliliters are in 6
teaspoons?
A. 10 ml
B. 12.5 ml
C. 20 ml
D. 24 ml
101. A scale on a map states that every Ό of an inch represents 20 miles. If
two cities are 3 ½ inches apart, how many miles are actually between the
two cities?
A. 14 miles
B. 20 miles
C. 230 miles
D. 280 miles
102. Michelle wants to expand her flowerbed by increasing the length and
width each by 2 ft. What will the new area of the flowerbed be, if L and W
represent the original dimensions of the flowerbed's length and width?
A. 2 LW
B. 2 (L+W)
C. 2L +2W
D. (L+2) (W+2)
103. Which of the following fractions are correctly placed from the least in
value to the greatest in value?
A. 1/4, 17/25, 3/4, 11/16
B. 17/25, 1/4, 11/16, 3/4
C. 1/4, 17/25, 11/16, 3/4
D. 1/4, 17/25, 3/4, 11/16
104. What is the mathematical average of the number of days in a typical
year, the number of days in a week, and the number of hours in a day?
A. 100
B. 115
C. 132
D. 158
105. 1.75 x 105=
A. 175,000
B. 17,500
C. 1,750
D. 0.00175
106. On a map, 1/3 inch equals 15 miles. The distance between two towns
on a map is 3 2/3 inches. How many miles are actually between the two
towns?
A. 11
B. 16
C. 88
D. 165
107. 85% of what number is 136?
A. 160
B. 170
C. 180
D. 190
108. A building that is 150 ft tall casts a shadow of 20 feet long. At the same
time a tree casts a shadow of 2 ft. How tall is the tree?
A. 10
B. 15
C. 20
D. 25
109. Which of the following is a true statement?
A. The product of two negative numbers is negative.
B. The product of one negative and one positive number is positive.
C. When dividing a positive number by a negative number, the results are
negative.
D. When dividing a negative number by a positive number, the results are
positive.
110. What is the fractional equivalent of 12.5%?
A. 1/4
B. 2/9
C. 1/5
D. 1/8
111. Change 4 3/5 to an improper fraction.
A. 23/5
B. 7/5
C. 12/20
D. 20/12
112. Bilal started a race at 6:30 A.M., and he did not cross the finish line
until 1:05 P.M. How long did it take for Brett to finish the race?
A. 6 hours and 15 minutes
B. 6 hours and 35 minutes
C. 7 hours and 5 minutes
D. 7 hours and 15 minutes
113. Multiply 2.345 x 0.023
A. 0.53935
B. 0.053935
C. 0.0053935
D. 10.195652
114. A men's basketball team won 24 games and lost 32. What is the ratio
of games lost to the number of games played?
A. 32:24
B. 4:3
C. 3:4
D. 4:7
115. Which of the following choices is equivalent to 5/6?
A. 5/12
B. 10/6
C. 20/30
D. 15/18
116. If one side of a square is 5 units, what is the area of the square?
A. 10
B. 15
C. 20
D. 25
117. If the average arithmetic mean of 8, 12, 15, 21, x and 11 is 17 then
what is x?
A. 3
B. 15
C. 17
D. 35
118. Which of the following has the least value?
A. 0.27
B. 1/4
C. 3/8
D. 11%
119. If 8x + 5x + 2x + 4x = 114, the 5x + 3 =
A. 12
B. 25
C. 33
D. 47
120. If 6 is 24% of a number, what is 40% of the same number?
A. 8
B. 10
C. 15
D. 20
121. If a match box is 0.17 feet long, what is its length in inches the most
closely comparable to the following?
A. 5 1/16 inch highlighter
B. 3 1/8 inch jewelry box
C. 2 3/4 inch lipstick
D. 2 3/16 inch staple remover
122. Of the following units which would be more likely used to measure the
amount of water in a bathtub?
A. kilograms
B. liters
C. milliliters
D. centigrams
123. At a company fish fry, 1/2 in attendance are employees. Employees'
spouses are 1/3 of the attendance. What is the percentage of the people in
attendance who are not employees or employee spouses?
A. 10.5%
B. 16.7%
C. 25%
D. 32.3%
124. The last week of a month a car dealership sold 12 cars. A new sales
promotion came out the first week of the next month and the sold 19 cars
that week. What was the percent increase in sales from the last week of the
previous month compared to the first week of the next month?
A. 58%
B. 119%
C. 158%
D. 175%
125. If two planes leave the same airport at 1:00 PM, how many miles apart
will they be at 3:00 PM if one travels directly north at 150 mph and the
other travels directly west at 200 mph?
A. 50 miles
B. 100 miles
C. 500 miles
D. 700 miles
126. What is the cost in dollars to steam clean a room W yards wide and L
yards long it the steam cleaners charge 10 cents per square foot?
A. 0.9WL
B. 0.3WL
C. 0.1WL
D. 9WL
127. If 300 jellybeans cost you x Rupees. How many jellybeans can you
purchase for 50 Paisa at the same rate?
A. 150/x
B. 150x
C. 6x
D. x/6
128. A railway half ticket costs half the full fare and the reservation charge is
the same on half ticket as on full ticket. One reserved first class ticket from
Chennai to Trivandrum costs Rs. 216 and one full and one half reserved first
class tickets cost Rs. 327. What is the basic first class full fare and what is
the reservation charge?
A. Rs. 105 and Rs. 6
B. 216 and Rs. 12
C. 210 and Rs. 12
D. 210 and Rs. 6
129. A focus of an ellipse is at the origin. The directrix is the line x = 4 and
the eccentricity is 1/2. Then the length of the semi−major axis is
(a) 4/3
(b) 8/3
(c) 7/3
(d) 5/3
130. A parabola has the origin as its focus and the line x = 2 as the directrix.
Then the vertex of the parabola is at
(a) (0, 2)
(b) (0, 1)
(c) (1, 0)
(d) (2, 0)
131. The conjugate of a complex number is 1/i-1. Then the complex number
is
(a) -1/i-1
(b) 1/i+1
(c) 1/i-1
(d) -1/i+1
132. The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80.
Then which one of the following gives possible values of a and b?
A. a = 0, b = 7
B. a = 5, b = 2
C. a = 3, b = 4
D. a = 2, b = 4
133. The line passing through the points (5, 1, a) and (3, b, 1) crosses the
yz−plane at the point (0, 17/2, -13/2) Then
A. a = 2, b = 8
B. a = 4, b = 6
C. a = 6, b = 4
D. a = 8, b = 2
134. If 9x-3y=12 and 3x-5y=7 then 6x-2y = ?
A. -5
B. 4
C. 2
D. 8
Click here to see answer by Fombitz(2113)  |
Question 238404: 1. Which of the following values is NOT equal to 34(58+9)?
A. 34 x 67
B. 58(34+9)
C. 34 x 58 + 34 x 9
D. 1,972 + 306
2. If 5 ounces is equal to 140 grams, then 2 pounds of ground meat is equal
to how many grams?
A. 863
B. 878
C. 896
D. 915
3. Which of the following is equal to 5.93 x 10-2?
A. 0.0593
B. 0.00593
C. 593
D. 5930
4. On a Map, 1 inch represents 20 miles. The distance between 2 towns is 6
1/5 inches. How many miles are actually between the two towns?
A. 65 miles
B. 84 miles
C. 124 miles
D. 138 miles
5. Sarah is twice as old as her youngest brother. If the difference between
their ages is 15 years, how old is her youngest brother?
A. 10
B. 15
C. 20
D. 25
6. Which of the following fractions is equal to 5/6?
A. 20/30
B. 15/24
C. 25/30
D. 40/54
7. The number of milliliters in 1 liter is:
A. 10,000
B. 1,000
C. 0.1
D. 0.01
8. What is 1/9 of 9?
A. 1/9
B. 0
C. 1
D. 2
9. In his pocket, a boy has 3 red marbles, 4 blue marbles, and 4 green
marbles. How many will he have to take out of his pocket to ensure that he
has taken out at least one of each color?
A. 11
B. 7
C. 8
D. 9
10. Saleem can type a 20 page document in 40 minutes, Aysha can type it
in 30 minutes, and Raheel can type it in 24 minutes. Working together, how
much time will it take them to type the same document?
A. 5 minutes
B. 10 minutes
C. 18 minutes
D. 20 minutes
11. Which of the following fractions is less than 2/3?
A. 7/8
B. 5/6
C. 3/4
D. 3/5
12. A hockey team won 6 games and lost 8. What is the ratio of wins to
number of games?
A. 6/8
B. 8/6
C. 3/7
D. 8/14
13) 6.334 x 104 =
A. 0.0006334
B. 0.06334
C. 6334
D. 63340
14. The average of three numbers is V. If one of the numbers is Z and
another is Y, what is the remaining number?
A. ZY - V
B. Z/V 3 - Y
C. Z/3 V - Y
D. 3V- Z - Y
15. Jamil can fill a pool carrying buckets of water in 30 minutes. Ali can do
the same job in 45 minutes. Tariq can do the same job in 1 ½ hours. How
quickly can all three fill the pool together?
A. 12 minutes
B. 15 minutes
C. 21 minutes
D. 23 minutes
16. What simple interest rate will Raheel need to secure to make Rs. 2,500
in interest on a Rs. 10,000 principal over 5 years?
A. 4%
B. 5 %
C. 6%
D. 7%
17. Given: a = i + j + k, a . b = 1 and a Χ b = j - k. Then, b is equal to
A. -2i
B. 2i + k
C. 3j
D. i
18. Consider points A , B , C and D with position vectors 7 i 4 j + 7 k , i
6j + 10 k, i , 3j + 4k and 5i j + 5k respectively. Then ABCD is a
A. rhombus
B. rectangle
C. parallelogram but not a rhombus
D. none
19. The value of a number is five times the sum of its digits. Find the
number.
A. 35
B. 45
C. 55
D. 65
20. What is the equivalent of 110 in Roman numerals?
A. XC
B. CX
C. LX
D. DX
21. 2+{4+(8-5-3)}=?
A. 6
B. 16
C. 12
D. 7
22. 5*2 is a three digit number with * as a missing digit. If the number is
divisible by 6, the missing digit is?
A. 2
B. 3
C. 6
D. 7
23. If Rank of a matrix is equal to No. of variable then it have
A. Non-Trivial solution , x = y = z ? 0
B. Trivial Solution , x = y = z = 0
C. x = y = 0, z ? 0
D. None
24. LCM of 10,16 and 25=?
A. 400
B. 200
C. 20
D. 160
25. If the value of x lies between 0 & 1 which of the following is the largest?
A. x
B. x2
C. x
D. 1/x
26. If 42 men can do a work in 15 days, how many men are required to
complete it in 21 days?
A. (a) 24
B. (b) 36
C. (c) 30
D. (d) none of these
27. The sum of all possible two digit number formed from three different one
digit natural number when divided by the sum of the original three number
is equal to:?
A. 18
B. 22
C. 36
D. none of these
28. In the first 10 over of a cricket game, the run rate was only 3.2 What
should be the run rate in the remaining 40 over to reach the target of 282
run?
A. 6.25
B. 6.5
C. 6.75
D. 7
29. There are four prime no written in ascending order. The product of the
first three is 385 and that of the last three is 1001.The last no is?
A. 11
B. 13
C. 17
D. 19
30. What is 1/3 of the difference of 90 and 36/
A. 10
B. 18
C. 15
D. 14
31. You are having 31kg of rice. You are provided with a 1kg stone for
weighing. In how many weights the 31kg of rice can be weighed.
A. 6
B. 34
C. 63
D. 5
32. L.C.M & H.C.F. The L.C.M. (Lowest (or Least) Common Multiple) of two
numbers is 45 times to their H.C.F (Highest Common Factor). If one of the
numbers is 125 and sum of L.C.M. and H.C.F. is 1150, the other number is:
A. 215
B. 220
C. 225
D. 235
33. The cost of an item is Rs 12.60. If the profit is 10% over selling price
what is the selling price?
A. 10.86
B. 18.56
C. 15.86
D. 13.86
34. If we write all the whole no from 200 and 400, then how many of these
contain the digit 7 once and only once.
A. 32
B. 34
C. 35
D. 36
35) The sum of the three prime no is 100.If one of then exceed another by
36, then one of the?
A. 7
B. 29
C. 41
D. 67
36. In the numerals 0 to 99 which is the least repeated digit?
A. 9
B. 1
C. 0
D. 7
37. When a number is divided by 13, the remainder is 11.When the same
number is divided by 17; the remainder by 9.What is the number?
A. 339
B. 349
C. 369
D. data inadequate
38. If two set have no element common, they are called
A. Disjoint sets
B. Overlapping sets
C. Complementary sets
D. Equivalent sets
39. {2,3,5,7,11,
} represent the first five
A. Positive odd number
B. Odd natural number
C. Prime number
D. Positive even number
40. Thirty men take 20 days to complete a job working 9 hours a day. How
many hours a day should 40 men work to complete the job?
A. 8 hrs
B. 7.5 hrs
C. 7 hrs
D. 9 hrs
41. Six bells commence tolling together and toll at intervals 2,4,6,8,10 and
12 seconds respectively. In 30 minutes how many times they toll together.
A. 4
B. 10
C. 15
C. 16
42. The mean of a binomial distribution is 3 and its variance is 3/2.Then the
number of trials is?
A. 6
B. 2
C. 3
D. 5
43. There are 12 yes or no questions. How many ways can these are
answered?
A. 1024
B. 2048
C. 4096
D. 144
44. A 4 cm cube is cut into 1 cm cubes. What is the percentage increase in
the surface area after such cutting?
A. 4%
B. 300%
C. 75%
D. 400%
45. Simple and compound interest at what rate percent compound interest
does sum .of money became four fold in 2 yrs?
A. 25%
B. 50%
C. 100%
D. 10%
46. A man loses 20% of his money and after spending 70% of the remainder
he is left with Rs. 270. Originally he had:
A. Rs. 1125
B. Rs. 1225
C. Rs. 1325
D. Rs. 1500
47. If x% of an hour is 2 minutes, x is equal to:
A. 3 1/3%
B. 2 3/4%
C. 3 2/3%
D. 4 7/8%
48. A number is increased by 10% and then reduced by 10%, then the
number :
A. Doesn't change
B. decreases by 1%
C. increases by 1%
D. none of these
49. Nasir salary was reduced by 25%. Percentage increase to be effected to
bring the salary to the original level is:
A. 20%
B. 25%
C. 33 1/3%
D. 30%
50. If x and y are positive integer such that (3x+7y) is a multiple of 11, then
which of the following will also be divisible by 11?
A. 4x+6y
B. x+y+4
C. 9x+4y
D. 4x-9y
51. What is the product of the irrational roots of the equation (2x-1)(2x-
3)(2x-5)(2x-7)=9?
A. 3/2
B. 4
C. 3
D. 3/4
52. If x: y = 3:4, then (2x+3y): (3y-2x) =
A. 2:1
B. 4:1
C. 3:2
D. 3:1
53. The present ages of three persons are in proportions 4 : 7 : 9. Eight
years ago, the sum of their ages was 56. Find their present ages (in years)
A. 20, 35, 45
B. 8, 20, 28
C. 16, 28, 36
D. 20, 36, 46
54. Which of the following is not a rational number?
A. -4
B. 1/5
C. 0.8333333
D.
55. Jamil is traveling to a meeting that is 28 miles away. He needs to be
there in 30 minutes. How fast does he need to go to make it to the meeting
on time?
A. 56 mph
B. 37 mph
C. 41 mph
D. 49 mph
56. If Saleem can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10
minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it
take all 3 of them working together to mix the 20 drinks?
A. 2 minutes and 44 seconds
B. 2 minutes and 58 seconds
C. 3 minutes and 10 seconds
D. 3 minutes and 26 seconds
57. If Sami can do a job in 4 days that Ali can do in 6 days and Tariq can do
in 2 days, how long would the job take if Sami, Ali and Tariq worked
together to complete it?
A. 0.8 days
B. 1.09 days
C. 1.23 days
D. 1.65 days
58. During a 5-day festival, the number of visitors tripled each day. If the
festival opened on a Thursday with 345 visitors, what was the attendance on
that Sunday?
A. 9,315
B. 1,035
C. 1,725
D. 3,105
59. Type a page in p minutes, what piece of the page can she do in 5
minutes?
A. 5/p
B. p - 5
C. p + 5
D. p/5
60. If Kamran can paint a house in 4 hours, and Imran can paint the same
house in 6 hour, how long will it take for both of them to paint the house
together?
A. 2 hours and 24 minutes
B. 3 hours and 12 minutes
C. 3 hours and 44 minutes
D. 4 hours and 10 minutes
61. If Leah is 6 years older than Saleem and Jamil is 5 years older than
Leah, and the total of their ages is 41. Then how old is Sue?
A. 8
B. 10
C. 14
D. 19
62. Fazil has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones,
and 4 blue ones. What is the minimum number of jellybeans she must take
out of her pocket to ensure that she has one of each color?
A. 4
B. 8
C. 12
D. 13
63. If 300 jellybeans cost you x dollars. How many jellybeans can you
purchase for 50 cents at the same rate?
A. 150/x
B. 150x
C. 6x
D. 1500/x
64. 7 1/2 - 5 3/8 =
A. 1 1/2
B. 1 2/3
C. 2 1/8
D. 3 1/4
65. You need 4/5 cups of water for a recipe. You accidentally put 1/3 cups
into the mixing bowl with the dry ingredients. How much more water in cups
do you need to add?
A. 1/3 cups
B. 2/3 cups
C. 1/15 cups
D. 7/15 cups
66. Which of these numbers is a factor of 21
A. 2
B. 5
C. 7
D. 42
67. If the average person drinks 8, (8oz) glasses of water per day, a person
who drinks 12.8 oz of water after a morning exercise session has consumed
what fraction of the daily average?
A. 1/3
B. 1/5
C. 1/7
D. 1/9
68. There are 8 ounces in a 1/2 pound. How many ounces are in 7 3/4 lbs?
A. 12 ounces
B. 86 ounces
C. 119 ounces
D. 124 ounces
69. Solve: 0.25 + 0.65
A. 1/2
B. 9/10
C. 4/7
D. 2/9
70. Multiply 104 by 102
A. 108
B. 102
C. 106
D. 10-2
71. Find 8.23 x 109
A. 0.00000000823
B. 0.000000823
C. 8.23
D. 8230000000
72) 83,000 is equals to:
A. 83.0 x 104
B. 8.3 x 104
C. 8.3 x 103
D. 83.0 x 105
73) 0.00875 equals:
A. 8.75 x 10-2
B. 8.75 x 10-3
C. 8.75 x 10-4
D. 87.5 x 10-3
74. What is the mathematical average of the number of weeks in a year,
seasons in a year, and the number of days in January?
A. 29
B. 33
C. 32
D. 31
75. What is the median of the following list of numbers? 4, 5, 7, 9, 10, 12
A. 6
B. 7.5
C. 7.8
D. 8
76. What is the absolute value of -9?
A. -9
B. 9
C. 0
D. -1
77. Subtract the following numbers rounded to the nearest tenths place.
134.679, -45.548, -67.8807
A. 21.3
B. 21.25
C. -58.97
D. -59.0
78. What are 1230.932567 rounded to the nearest hundredths place?
A. 1200
B. 1230.9326
C. 1230.93
D. 1230
79. Round 907.457 to the nearest tens place.
A. 908.0
B. 910
C. 907.5
D. 900
80. If Sajid needs 2 ½ pints of cream to make a dessert. How many pints
will he need to make 3 desserts?
A. 2 ½
B. 3
C. 4
D. 7 ½
81. If a Ό of a teaspoon is 1 ml, then how many milliliters are in 6
teaspoons?
A. 10 ml
B. 12.5 ml
C. 20 ml
D. 24 ml
82. Which of the following fractions are correctly placed from the least in
value to the greatest in value?
A. 1/4, 17/25, 3/4, 11/16
B. 17/25, 1/4, 11/16, 3/4
C. 1/4, 17/25, 11/16, 3/4
D. 1/4, 17/25, 3/4, 11/16
83. What is the mathematical average of the number of days in a typical
year, the number of days in a week, and the number of hours in a day?
A. 100
B. 115
C. 132
D. 158
84) 1.75 x 105=
A. 175,000
B. 17,500
C. 1,750
D. 0.00175
85. 85% of what number is 136?
A. 160
B. 170
C. 180
D. 190
86. A building that is 150 ft tall casts a shadow of 20 feet long. At the same
time a tree casts a shadow of 2 ft. How tall is the tree?
A. 10
B. 15
C. 20
D. 25
87. What is the fractional equivalent of 12.5%?
A. 1/4
B. 2/9
C. 1/5
D. 1/8
88. Change 4 3/5 to an improper fraction.
A. 23/5
B. 7/5
C. 12/20
D. 20/12
89. Bilal started a race at 6:30 A.M., and he did not cross the finish line until
1:05 P.M. How long did it take for Brett to finish the race?
A. 6 hours and 15 minutes
B. 6 hours and 35 minutes
C. 7 hours and 5 minutes
D. 7 hours and 15 minutes
90. Multiply 2.345 x 0.023
A. 0.53935
B. 0.053935
C. 0.0053935
D. 10.195652
91. A men's basketball team won 24 games and lost 32. What is the ratio of
games lost to the number of games played?
A. 32:24
B. 4:3
C. 3:4
D. 4:7
92. Which of the following choices is equivalent to 5/6?
A. 5/12
B. 10/6
C. 20/30
D. 15/18
93. If one side of a square is 5 units, what is the area of the square?
A. 10
B. 15
C. 20
D. 25
94. If the average arithmetic mean of 8, 12, 15, 21, x and 11 is 17 then
what is x?
A. 3
B. 15
C. 17
D. 35
95. Which of the following has the least value?
A. 0.27
B. 1/4
C. 3/8
D. 11%
96. If 8x + 5x + 2x + 4x = 114, the 5x + 3 =
A. 12
B. 25
C. 33
D. 47
97. If 6 is 24% of a number, what is 40% of the same number?
A. 8
B. 10
C. 15
D. 20
98. If a match box is 0.17 feet long, what is its length in inches the most
closely comparable to the following?
A. 5 1/16 inch highlighter
B. 3 1/8 inch jewelry box
C. 2 3/4 inch lipstick
D. 2 3/16 inch staple remover
99. Which of the following units which would be more likely used to measure
the amount of water in a bathtub?
A. kilograms
B. liters
C. milliliters
D. centigrams
100. At a company fish fry, 1/2 in attendance is employees. Employees
spouses are 1/3 of the attendance. What is the percentage of the people in
attendance who are not employees or employee spouses?
A. 10.5%
B. 16.7%
C. 25%
D. 32.3%
101. If 300 jellybeans cost you x Rupees. How many jellybeans can you
purchase for 50 Paisa at the same rate?
A. 150/x
B. 150x
C. 6x
D. x/6
102. The conjugate of a complex number is 1/i-1. Then the complex number
is
(a) -1/i-1
(b) 1/i+1
(c) 1/i-1
(d) -1/i+1
103. The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80.
Then which one of the following gives possible values of a and b?
A. a = 0, b = 7
B. a = 5, b = 2
C. a = 3, b = 4
D. a = 2, b = 4
104. The line passing through the points (5, 1, a) and (3, b, 1) crosses the
yz−plane at the point (0, 17/2, -13/2) Then
A. a = 2, b = 8
B. a = 4, b = 6
C. a = 6, b = 4
D. a = 8, b = 2
105. If 9x-3y=12 and 3x-5y=7 then 6x-2y = ?
A. -5
B. 4
C. 2
D. 8
106. If the sum of the roots of the quadratic equation ax2 + bx + c = 0 is
equal to the sum of the squares of their reciprocals, then a/c, b/a, and c/b
are in
A. arithmetic progression
B. geometric progression
C. harmonic progression
D. arithmetic-geometric progression
107. A student is to answer 10 out of 13 questions in an examination such
that he must choose at least 4 from the first 5 questions. The number of
choices available to him is
A. 140
B. 196
C. 280
D. 346
108. The number of ways in which 6 men and 5 women can dine at a round
table if no two women are to sit together is given by
A. 6! * 5!
B. 50
C. 5! * 4!
D. 7! * 5!
109. Let f (x) be a polynomial function of second degree. If f (1) = f (- 1)
and a, b, c are in A. P., then f' (a), f' (b) and f' (c) are in
A. A.P.
B. G.P.
C. H. P.
D. arithmetic-geometric progression
110. Five horses are in a race. Mr. A selects two of the horses at random
and bets on them. The probability that Mr. A selected the winning horse is
A. 4/5
B. 3/5
C. 1/5
D. 2/5
111. How many ways are there to arrange the letters in the word GARDEN
with the vowels in alphabetical order?
A. 120
B. 480
C. 360
D. 240
112. Two angles of a triangle measure 15° and 85 °. What is the measure
for the third angle?
A. 50°
B. 55°
C. 60°
D. 80°
113. Two angles in a triangle equal 120°. What is the measure of the third
angle?
A. 60°
B. 70°
C. 80°
D. 90°
114. The radius of the in circle of a triangle whose sides are 18,24,30 is ?
A. 2
B. 4
C. 6
D. 9
115. What is the value of each angle of an equilateral triangle?
A. 60 degree
B. 90 degree
C. 120 degree
D. 180 degree
116. If a circle has the diameter of 8, what is the circumference?
A. 6.28
B. 12.56
C. 25.13
D. 50.24
117. Two angles of a triangle equal 140°. What is the measure of the third
angle in degrees?
A. 40°
B. 80°
C. 100°
D. 120°
118. In triangle ABC, AB=BC and (C's measure is 65°.) What is the measure
of angle B?
A. 40°
B. 50°
C. 60°
D. 65°
119. Let R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} be a relation on the set A
= {1, 2, 3, 4}. The relation R is
A. a function
B. reflexive
C. not symmetric
D. transitive
120. If y(x-1) = z then x=
A. y-z
B. z/y + 1
C. y(z-1)
D. z(y-1)
121. If 3x=6x-15 then x + 8=
A. 13
B. 10
C. 11
D. 12
122. If 3x + 5x = -8, then x + 1 =
A. -2
B. -1
C. 0
D. 1
123. If 8x + 5x + 2x + 4x = 114, the 5x + 3 =
A. 12
B. 25
C. 33
D. 47
124. If y = 3, then y3(y3-y)=
A. 300
B. 459
C. 648
D. 999
125. If r = 5z then 15z = 3 y, then r =
A. y
B. 2 y
C. 5 y
D. 10 y
126. Divide x5 by x2
A. x7
B. x4
C. x10
D. x3
127. If 8x + 5 = 21, then 3 x + 4 =
A. 2
B. 5
C. 10
D. 16
128. Find the remainder when the polynomial x4 - 3x2 + 7x - 10 is divided by
x - 2.
A. 8
B. -20
C. 18
D. 0
129. If one of the roots of the quadratic equation 2x2 - 7x + q = 0 is 3, then
find the other root.
A. -3
B. -1/2
C. 1/2
D. 1/4
130. If p and q are the roots of the equation x2 - bx + c = 0, then what is
the equation if the roots are (pq + p + q) and (pq - p - q)?
A. x2 - 2cx + (c2 - b2) = 0
B. x2 - 2bx + (b2 + c2) = 0
C. Bcx2 - 2(b+c)x + c2 = 0
D. x2 + 2bx - (c2 - b2) = 0
131. If (x + 2) 2 = 9 and (y + 3) 2 = 25, then the maximum value of x / y is.
A. 1 / 2
B. 5 / 2
C. 5 / 8
D. 1 / 8
132. The area of the plane region bounded by the curves x + 2y2 = 0 and x
+ 3y2 = 1 is equal to
A. 3/5
B. 4/3
C. 7/3
D. 1
133. The real number x when added to its inverse gives the minimum value
of the sum at x equal to
A. 2
B. 1
C. - 1
D. - 2
134. Let two numbers have arithmetic mean 9 and geometric mean 4. Then
these numbers are the roots of the quadratic equation
A. x2 + 18x + 16 = 0
B. x2 - 18x - 16 = 0
C. x2 + 18x - 16 = 0
D. x2 - 18x + 16 = 0
135. Consider the series: 8.9, 4.45, 2.225, ______ what come next?
A. 0.55625
B. 2. 1.9678
C. 1.1125
D. 0.5432
136. Consider the series: 9, 24, 39, 54, 69, 84, 99, 114, _____ what come
next?
A. 129
B. 124
C. 128
D. 130
137. Consider the series: 68, 81, x, 113, 132, find the value of x?
A. 98
B. 86
C. 96
D. None of these.
138. Consider the series: 27, 24, 20, 15, 9, 2, ______ what come next?
A. 0.5
B. -6
C. -1
D. 0
139. Consider the series: 3, 8, 27, 112, 565, _____ what comes next?
A. 2240
B. 2156
C. 1656
D. 3396
140. Consider the series: 3, 4, 6, 9, 13, ____ what comes next?
A. 15
B. 16
C. 17
4. 18
141. If the range of the set of numbers {150, 90, 125, 110, 170, 155, x,
100, 140} is 95, which of the following could be x?
1. 80
2. 85
3. 95
4. 185
142. Consider the series: 80, 40, 20, 10, 5, 5/2, ____ what comes next?
1. 1/2
2. 2
3. 5/4
4. None of above
143. Find the missing term in the following sequence: 4, 9, 19, __, 79
A. 40
B. 37
C. 38
D. 39
144. What is the next number in the following pattern? 1, 1/2, 1/4, 1/8, ___
A. 1/10
B. 1/12
C. 1/14
D. 1/16
145. If 2a + 3b + 6c =0, then at least one root of the equation ax2 + bx + c
lies in the interval
A. (0, 1)
B. (1, 2)
C. (2, 3)
D. (1, 3)
146. If x dy/dx = y (log y − log x + 1), then the solution of the equation is
A. y log(x/y) = cx
B. x log(y/x) = cy
C. log(y/x) = cx
D. log(x/y) = cy
147. ∫ cosx
A. tanx
B. secx
C. sinx
D. -sinx
148. A circle touches the x-axis and also touches the circle with centre at (0,
3) and radius 2. The locus of the centre of the circle is
A. an ellipse
B. a circle
C. a hyperbola
D. a parabola
149. A straight line through the point A(3, 4) is such that its intercept
between the axes is bisected at A. Its equation is
A. x + y = 7
B. 3x − 4y + 7 = 0
C. 4x + 3y = 24
D. 3x + 4y = 25
150. In an ellipse, the distance between its foci is 6 and minor axis is 8.
Then its eccentricity is
A. 3/5
B. 1/2
C. 4/5
D. 7
151. The function f(x) = x/2 + 2/x has a local minimum at
A. x = 2
B. x = −2
C. x = 0
D. x = 1
152. Differentiation of logx.sinx
A. sinx.1/x
B. cosx.sinx + logx
C. sinx.1/x + logx.cosx
D. cosx.(-1/x) + 1/logx
153. y = sinx then evaluate dy/dx = ? then what is Integration of ?
A. sinx
B. cosx
C. -sinx
D. -cosx
154. What is the value of factorial Zero (0!)
A. 10
B. 0
C. 1
D. -1
155. y = sinx + cosx - 5a what is dy/dx
A. cosx - sinx
B. cosx + sinx -5
C. sinx - secx
D. sinx + cosx + 5
156. The point diametrically opposite to the point P (1, 0) on the circle x2 +
y2 + 2x + 4y − 3 = 0 is
A. (− 3, − 4)
B. (-3, 4)
C. (3, 4)
D. (-4, -1)
157. The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80.
Then which one of the following gives possible values of a and b?
A. a = 0, b = 7
B. a = 5, b = 2
C. a = 3, b = 4
D. a = 2, b = 4
158. The line passing through the points (5, 1, a) and (3, b, 1) crosses the
yz−plane at the point (0, 17/2, -13/2) Then
A. a = 2, b = 8
B. a = 4, b = 6
C. a = 6, b = 4
D. a = 8, b = 2
159. Turn odd man out: 2,5,10,17,26,37,50,64
A. 2
B. 10
C. 64
D. 50
160. The graph of the function y = f(x) is symmetrical about the line x = 2,
then
A. f(x + 2)= f(x 2)
B. f(2 + x) = f(2 x)
C. f(x) = f(-x)
D. f(x) = - f(-x)
161. If 2a + 3b + 6c =0, then at least one root of the equation ax2 + bx + c
lies in the interval
A. (0, 1)
B. (1, 2)
C. (2, 3)
D. (1, 3)
162. The area of the region bounded by the curves y = |x 2|, x = 1, x = 3
and the x-axis is
A. 1
B. 2
C. 3
D. 4
163. Distance between two parallel planes 2x + y + 2z = 8 and 4x + 2y +
4z + 5 = 0 is
A. 3/2
B. 5/2
C. 7/2
D. 9/2
164. The probability that A speaks truth is , while this probability for B is .
The probability that they contradict each other when asked to speak on a
fact is
A. 3/20
B. 1/5
C. 7/20
D. 4/5
165. The mean and the variance of a binomial distribution are 4 and 2
respectively. Then the probability of 2 successes is
A. 37/256
B. 219/256
C. 128/256
D. 28/256
167. If A2 A + I = 0, then the inverse of A is
A. A + I
B. A
C. A I
D. I A
168. If in a frequently distribution, the mean and median are 21 and 22
respectively, then its mode is approximately
A. 22.0
B. 20.5
C. 25.5
D. 24.0
169. If in a triangle ABC, the altitudes from the vertices A, B, C on opposite
sides are in H.P., then sin A, sin B, sin C are in
A. G.P.
B. A.P.
C. Arithmetic − Geometric Progression
D. H.P.
170. A circle touches the x-axis and also touches the circle with centre at (0,
3) and radius 2. The locus of the centre of the circle is
A. an ellipse
B. a circle
C. a hyperbola
D. a parabola
171. A particle has two velocities of equal magnitude inclined to each other
at an angle θ. If one of them is halved, the angle between the other and the
original resultant velocity is bisected by the new resultant. Then θ is
A. 90°
B. 120°
C. 45°
D. 60°
172. A Null vector is denoted by
A. A
B. i
C. j
D.O
173. The magnitude of vector [a, b] is
A. a2 + b2
B. (a + b) 2
C. a2 + b2
D. a + b
174. Two vector are called equivalent vector if they have __________
A. Same magnitude
B. Same direction
C. Same magnitude and direction
D. Same magnitude and opposite direction
175. If A(-2, -3) and B(8, -2) are two points and O is the origion, then
�� ��
OA+OB=
A. [6,5]
B. [6, -5]
C. [10,5]
D. [-16,6]
176. A = {0,1,2,3,
.} is the set of
A. Prime number
B. Whole number
C. Irrational number
D. Rational number
177. The union of set A and B is expressed as
A. A U B
B. A Π B
C. A x B
D. A B
178. If a relation is given by R = {(0, 1), (1,2), (3,4)}, then the Range of r
is
A. {0,1,3}
B. {1,2,3}
C. {2,3,4}
D. {1,2,4}
179. If A = {1,2,3} and R = {(1, 2), (2,3), (3,3)}, then the R is
A. A function from A onto A
B. Not a function
C. A function from A into A
D. Not a binary relation
180. On the y-axis, the x coordinate or abscissa is
A. Positive
B. Negative
C. Zero
D. None of above
181. If b is a real numbers, the point (0, b) lies
A. In the second quadraut
B. In the third quadrent
C. on x-axis
D. on y-axis
182. What should be added or subtracted from 9x2 + 16 y2 so as to make it
a perfect square
A. 12xy
B. 7xy
C. 24xy
D. 144xy
183. (a-b-c) (a2 +b2 +c2 +ab-bc+ca) is equal to
A. a3 +b3 +c3 +3abc
B. a3 -b3 +c3 +3abc
C. a3 -b3 +c3 -3abc
D. a3 -b3 -c3 -3abc
184. Factor of x2 5x + 6 are
A. (x+1), (x-6)
B. (x+6), (x-1)
C. (x+2), (x+3)
D. (x-2), (x-3)
185. In an election, there are only two candidates one who gets 43% of the
votes is rejected by a majority of 420 votes. The total number of votes
polled is :
A. 1,290
B. 1,300
C. 1,710
D. 3,000
186. A reduction of 20 percent in the price of suger enables a purchaser to
get 4 kg more for Rs. 80. The original price of 1 Kg. of suger was:
A. Rs. 4
B. Rs. 4.50
C. Rs. 5
D. Rs. 5.50
187. The money to invest in 4% stock at Rs. 90 to provide an annual income
of Rs. 100 is:
A. Rs. 1,800
B. Rs. 2,000
C. Rs. 2,250
D. Rs. 2,500
188. The averge age of a class of students is 12 years. If the teacher age is
also included, the average age increased by one year. The teachers age is
A. 41 years
B. 52 years
C. 53 years
D. 54 years
189. In what proportional must a man mix milk at Rs.11 a liter with milk at
Rs. 6 a liter, so that the mixture may be worth Rs. 8 a liter?
A. 2 : 3
B. 3 : 2
C. 5 : 7
D. 5 : 6
190. In an ellipse, the distance between its foci is 6 and minor axis is 8.
Then its eccentricity is
A. 3/5
B. 1/2
C. 4/5
D. 7
191. The function f(x) = x/2 + 2/x has a local minimum at
A. x = 2
B. x = −2
C. x = 0
D. x = 1
192. Differentiation of logx.sinx
A. sinx.1/x
B. cosx.sinx + logx
C. sinx.1/x + logx.cosx
D. cosx.(-1/x) + 1/logx
193 y = sinx then evaluate dy/dx = ? then what is Integration of ?
(a) sinx
(b) cosx
(c) -sinx
(d) -cosx
194. What is the value of factorial Zero (0!)
(a) 10
(b) 0
(c) 1
(d) -1
195. y = sinx + cosx - 5a what is dy/dx
(a) cosx - sinx
(b) cosx + sinx -5
(c) sinx - secx
(d) sinx + cosx + 5
196. A focus of an ellipse is at the origin. The directrix is the line x = 4 and
the eccentricity is 1/2. Then the length of the semi−major axis is
(a) 4/3
(b) 8/3
(c) 7/3
(d) 5/3
197. The conjugate of a complex number is 1/i-1. Then the complex number
is
(a) -1/i-1
(b) 1/i+1
(c) 1/i-1
(d) -1/i+1
Answer (d) -1/i+1
198. The perpendicular bisector of the line segment joining P (1, 4) and Q
(k, 3) has y−intercept − 4. Then a possible value of k is
(a) 1
(b) -4
(c) 3
(d) 2
Answer (b) -4
199. The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80.
Then which one of the following gives possible values of a and b?
(a) a = 0, b = 7
(b) a = 5, b = 2
(c) a = 3, b = 4
(d) a = 2, b = 4
200. The line passing through the points (5, 1, a) and (3, b, 1) crosses the
yz−plane at the point (0, 17/2, -13/2) Then
(a) a = 2, b = 8
(b) a = 4, b = 6
(c) a = 6, b = 4
(d) a = 8, b = 2
201. How many real solutions does the equation x7 + 14x5 + 16x3 + 30x
560 = 0 have?
(a) 1
(b) 4
(c) 7
(d) 5
202. The area of the plane region bounded by the curves x + 2y2 = 0 and x
+ 3y2 = 1 is equal to (y2 = y square)
(a) 3/5
(b) 4/3
(c) 7/3
(d) 1
203. The L.C.M. (Lowest (or Least) Common Multiple) of two numbers is 45
times to their H.C.F (Highest Common Factor). If one of the numbers is 125
and sum of L.C.M. and H.C.F. is 1150, the other number is:
1. 215
2. 220
3. 225
4. 235
204. Question 2: If z is not less than 3, then y must be equal to
x, y, z are three positive integers x = 2y + z and x is not greater than 6
1. One
2. Two
3. Three
4. Four
205. Question 3: The probability of a male birth is 0.52. If a woman has
three children, what is the probability that at least two are boys?
1. a. 0.53
2. b. 0.1106
3. c. 0.48
4. d. 0.1302
206. Question 4: What is the equivalent compound ratio of 5:6::7:10::6:5
1. 3/2
2. 4/5
3. 6/5
4. 5/4
207. Question 5: The smallest number which when added to the number
1154 makes it a perfect square is
1. 1
2. 2
3. 3
4. 4
208. Question 6: If Log 4 (x) = 12, then log 2 (x / 4) is equal to
1. 22
2. -12
3. 48
4. 11
209. Add 0.98 + 45.102 + 32.3333 + 31 + 0.00009
Add 0.98 + 45.102 + 32.3333 + 31 + 0.00009
1. 368.573
2. 210.536299
3. 109.41539
4. 99.9975
5. 80.8769543
210. Question 10: A number of 4 different digits is formed by using 1, 2, 3,
4, 5, 6, 7. What is the probability that it is divisible by 5 ?
1. a. 1/7
2. b. 2/7
3. c. 3/7
4. d. 1/6
211. Question 11: A train 'A' crosses a 160 m standing train 'B' in 15 sec
and a standing person in 9 sec. What is its speed?
1. (a) 96 km/hr
2. (b) 72 km/hr
3. (c) 84 km/hr
4. (d) 92 km/hr
212. The area of a square field is 24200 sq m. How long will a lady take to
cross the field diagonally at the rate of 6.6 km/hr?
1. 3 minutes
2. 2 minutes
3. 2.4 minutes
4. 2 minutes 40
213. Question 13: The present age of Ramesh is ΒΌ of his father's age.
After 4 years, the sum of their ages will be 68. What is the present age of
Ramesh?
1. (a) 10 yrs
2. (b) 15 yrs
3. (c) 16 yrs
4. (d) 12 yrs
214. 16:256=
1. 1:8
2. 1:16
3. 1:12
4. 1:4
5. 1:26
Correct Answer: 2.
215. 7509*1001+709=?
1. 7517218
2. 7617218
3. 12840390
4. 12940390
5. None
Correct Answer: 1.
216. Question 16: The probability of a male birth is 0.52. If a woman has
three children, what is the probability that all three are girls?
1. a. 0.53
2. b. 0.1106
3. c. 0.48
4. d. 0.1302
217. Question 17: The edges of a cuboid are in the ratio 1 : 2 : 3 and its
surface area is 88 cm2 . The volume of the cuboid is
1. 24 cm3
2. 48 cm3
3. 64 cm3
4. 120 cm3
218. Question 21: Jamil is able to sell a hand-carved statue for Rs. 670
which was a 35% profit over his cost. How much did the statue originally
cost him?
1. Rs. 588.20
2. Rs. 574.90
3. Rs. 555.40
4. Rs. 496.30
219. What is the chance that a leap year, selected at random, will contain 53
Sundays?
1. a. 1/7
2. b. 2/7
3. c. 2/53
4. d. 1/53
220. sin 45 = _________.
1. 1
2. cos 45
3. 0
4. undefined
5.
221. Which of the following fractions is more
Which of the following fractions is more than 1/2?
1. 31/60
2. 30/61
3. 22/65
4. 14/29
222. Question 31: HCF of 9,21,36 =?
1. 84
2. 3
3. 7
4. 21
223. Question 32: What is the circum radius of a triangle whose sides are 7,
24 and 25 respectively?
1. 18
2. 12.5
3. 12
4. 14
224. Question 37: Find the value of ( 0.75 * 0.75 * 0.75 - 0.001 ) / ( 0.75 *
0.75 - 0.075 + 0.01)
1. 0.845
2. 1.908
3. 2.312
4. 0.001
225. Which of the following can be a product of two 3 digit number **3 and
**8?
1. 1010024
2. 991014
3. 9124
4. none of these
226. Question 39: If n is an integer greater than 0, what is the remainder
when 912n+3 is divided by 10?
1. 0
2. 1
3. 9
4. 7
227. The mean of the 1st n natural no. is
1. n/2
2. (n-1)/2
3. (n+1)/2
4. none
228. Question 43: If r = 5 z then 15 z = 3 y, then r = ?
If r = 5 z then 15 z = 3 y, then r = ?
1. y
2. 2y
3. 5y
4. 10y
5. 15y
229. What is the product of the irrational roots of the equation (2x-1)(2x-
3)(2x-5)(2x-7)=9?
1. 3/2
2. 25
3. 45
4. 6
230. The value of (0.625 * 0.0729 * 28.9)/(0.0017 * 0.025 * 8.1) is
1. 3825
2. 3.825
3. 38.25
4. 382.5
231. If 20 men can do a piece of work in 8 days, how many men will finish
it in 10 days.
1. 4
2. 16
3. 12
4. 15
232. if 3 men or 6 boys can do a work in 20 days, hen 6 men and 8 boys
shall take:
1. 6 days
2. 8 days
3. 10 days
4. 20 days
233. The ration in which the two qualities of rice at Rs. 6 and Rs. 4 per kg.
be mixed respectively in order the mixture may cost Rs. 4.80 per kg
is:
1. 2:3
2. 3:2
3. 1:4
4. 1:5
234. The average age of a class of 50 boys which is 12.9 years is raised to
13 years by coming of a new boy, the age of the new boy is:
1. 17 years
2. 13 years
3. 18 years
4. 19 years
235. A sum of Rs. 1550 was lent partly at 5% and partly at 8% simple
interest. The total interest for 3 years was Rs. 300. How much was
lent at 8%.
1. Rs. 700
2. Rs. 750
3. Rs. 675
4. Rs. 800
236. A can do a piece of work in 10 days and B can do it in 15 days. How
long would take to do it working together?
1. 16 days
2. 6 days
3. 8 days
4. 12 days
237. Extreme is known as:
A. dividend
B. component
C. componend
D. none of these
238. │a+b│
..
A. =│a│+│b│
B. ≤│a│+│b│
C. >│a│+│b│
D. ≥│a│+│b│
239. The solution set of √x = - 6 is:
A. {6}
B. {36}
C. { }
D. -6
240. The ordered = pair satisfying x-y = 7 is:
A. (7,7)
B. (0,7)
C. (7,0)
D. (-1, -6)
241. √x+2 =9 is a
A. Linear equation
B. Quadratic equation
C. Radical Equation
D. Cubic equation
242. The order of he matrix [3 -2]is:
A. 1x2
B. 2x1
C. 1x1
D. 2x2
243. 2 0 is a __________ matrix.
0 3
A. Singular
B. Unit
C. Zero
D. Diagonal
244. If 3 6 is a singular matrix, then
x 8
A. x= -4
B. x = 4
C. x = 16
D. x = -24
245. If AB = BA, then:
A. A and B are equal to each other
B. A and B are multiplicative inverse of each other
C. A and B are both singular
D. A and B are additive inverse of each other
246. The product of [a b] and c is
d
A. [ac+bd]
B. ac bc
ad bd
C. [a+c b+d]
D. a c
b d
247. A quadratic equation in one variable has:
A. One root
B. Infinite number of roots
C. No root
D. Two roots
248. The solution set x2-x-2=0 is
A. {1}
B. {2}
C. {2,-1}
D. {-1}
249. The solution set of 3x2 -10x=0 is
A. {10}
B. 0, 10
3
C. 10
3
D. {0}
250. Eliminating t from:
X=t, y=t2 we get
A. x2 = y
B. x = y2
C. xy=1
D. x2y=1
251. The measures of two angles of a triangle are 60o and 80o. The measure
of the third angle will be:
A. 60o
B. 40o
C. 80o
D. 20o
252. The base angle of a parallelogram are:
A. Complementary
B. Supplementary
C. Congruent
D. Both acute
253. The measure of a line segment joining the mid-point of two:
A. 10cm
B. 5cm
C. 20cm
D. 15cm
254. The distance of the centre from any point of the circle is called:
A. Diameter
B. Secant
C. Tagent
D. Radius
255. If a point lied in the interior of a circle, then its distance from the
centre is:
A. Equal to radius
B. Less than radius
C. Greater than radius
D. Greater than or equal to radius
256. The line which meets the circle in one points is:
A. Secant
B. Diameter
C. Chord
D. Tangnet
257. In the log of a number the integral part is called characteristic.
A. TRUE
B. FALSE
258. The exponential form of y = loga x is :
A. ay = x
B. ya = x
C. loga x = y
D. x = ya
259. The fractional part of logarithm is called:
A. Mantissa
B. Characteristic
C. Operator
D. Divider
260. If M lies on AB between A and B, then it belongs to:
E. Half line MA
F. Half line MB
G. Both half lines
H. None of these
261. Each of the two supplementary angles can be:
I. Right angle
J. Acute angle
K. Obtuse angle
L. None of these
262. One and only one line can pass through:
A. One Point
B. Two Points
C. Three points
D. Four points
263. A Triangle whose two sides are congruent is called:
A. Isosceles triangle
B. Equilateral triangle
C. Right angle triangle
D. None of these
264. A Triangle whose three sides are congruent is called:
A. Isosceles triangle
B. Equilateral triangle
C. Right angle triangle
D. None of these
265. The side apposite to the right angle in a right angled triangle is called:
A. hypotenuse
B. trapezoid
C. rhombus
D. right angle triangle
266. A quadrilateral whose only two sides are parallel is known as:
A. trapezoid
B. rhombus
C. parallogram
D. right angle triangle
267. A quadrilateral whose all four sides are congruent but non of its angle is
a right angle is called:
A. square
B. rhombus
C. parallogram
D. right angle triangle
268. In a semi circle the angle is:
A. Right angle
B. Straight angle
C. Reflext angle
D. None of these
33. Half of diameter is:
A. Point of contant
B. Radius
C. Chord
D. Tangent
269. The line inserting in a circle in two points is:
A. secant
B. chord
C. arc
D. none of these
270. The line segment whose end points are on a circle is:
A. secant
B. chord
C. arc
D. none of these
271. log 1is equal to:
A. 1
B. -1
C. 0
D. none of there
272. log25 is equal to:
A. log52
B. log 2/5
C. 5 log2
D. log 5-log2
273. 2 log5 is equal to
A. log52
B. log 2/5
C. 5 log2
D. log 5-log2
274. Log10 is equal to:
A. 1
B. -1
C. 0
D. none of there
275. A proper fraction is a fraction in which:
297. Numerator is greater than Denominator
298. Numerator is less than Denominator
299. Numerator is equal to Denominator
300. All of the above are correct
276. 5x2 x 2x-1 is equal to :
a. 5x-1
b. 10x2
c. 10x3
d. 10x
277. The product of 1.234 and 12.5 is:
a. 154.25
b. 15.425
c. 2531.62
d. 189.628
278. Express 85% as fraction:
a. 8.5
b. 17 / 20
c. 8.5 / 100
d. 850
279. The volume of circular cone of radius 2cm and of height 7cm will be:
a. 29 1/3 cm3
b. 44 cm3
c. 88 cm3
d. 113 1/7 cm3
280. The area of trapezium having parallel sides of length 2 2/3 cm and 3 1/6
cm respectively with a perpendicular height of 6 cm will be:
a. 4 ½ cm2
b. 6 cm2
c. 17 ½ cm2
d. 12 cm2
281. x3 + 4x2 2x + 7 is a __________ degree equation:
a. First
b. Second
c. Third
d. Zero
282. 9/4 may be written as:
a. 9 Ό
b. 2 1/9
c. 2 Ό
d. 4 1/9
283. 36 χ 9 χ 1 :
3 5 6
a. 20
b. 30
c. 40
d. 50
284. Divide 93.798 by 2.43 :
a. 42.9
b. 46.4
c. 38.6
d. None of the above
285. Correct to one Decimal Place 371.85299:
a. 371.8
b. 371.9
c. 372.0
d. 371.7
286. Express the simplest form of 15 in ratio:
25
a. 5 : 3
b. 3 : 3
c. 5 : 5
d. 3 : 5
287. During one week the temperature at 6 am were as follows 56, 58, 59,
62, 65, 69 and 75. What was the average temperature at 6 am:
a. 59
b. 57
c. 55
d. 62
288. H.C.F. of 20, 24, 36 is:
a. 20
b. 4
c. 120
d. 360
289. L.C.M. of 20, 24, 36 is:
a. 20
b. 4
c. 120
d. 360
291. 5(x + 1) + 3 = 4(x - 1):
a. x = -24
b. x = -12
c. x = 21
d. x = 12
292. x 2 - 3x 4 = 1:
3 4
a. -1 3/5
b. 1 3/5
c. 2 5/3
d. -7/5
293. z + z + z = 1
5 3 6
a. 1/7
b. 1 1/8
c. 1 3/7
d. 1 7/3
294. Determine x in the following 3x2 + 8 = -14x:
a. x = -4, -2/3
b. x = 4, 2/3
c. x = 6, 3/2
d. None of the above
295. 2y + 1/y = 3:
a. 2, 4
b. 1, ½
c. 1, 2
d. 5, 6
296. 5604, 2.05, 0.04, 2500 contains _____ significant figures:
a. 4,3,2,1 respectively
b. 1,2,3,4 respectively
c. 4,3,1,2 respectively
d. None of the above
297. In the right angle triangle, if Opposite =1, Adjacent= 8 and
Hypotenuse= 5. The tangent, sine, cosine of the angle is equal to:
a. 1/8, 3/8, 4/5 respectively
b. 1/8, 1/5, 1 3/5 respectively
c. 2/3, 1/8, 3/5 respectively
d. 4/5, 1 1/2, 3 1/2 respectively
298. A _____ is a figure with two of its side parallel:
a. Parallelogram
b. Trapezium
c. Rectangle
d. Sphere
299. The two consecutive positive natural number such that the square of
their sum is 49. The required equation is:
a. y2 + (y + 1)2 = 49
b. x2 + y2 = 49
c. y2 + y 12 = 0
d. None of the above
300. According to Pythagoras Theorem:
a. (Hypotenuse)² = (Base)² - (Perpendicular)²
b. (Base)² = (Hypotenuse)² + (Perpendicular)²
c. (Hypotenuse)² = (Base)² + (Perpendicular)²
d. (Perpendicular)² = (Base)² + (Hypotenuse)²
301. Convert binary 1100 into decimal :
a. 12
b. 21
c. 10
d. 11
302. (FF)16 = ( ? )2
a. 110000
b. 001111
c. 101010
d. 111111
303. 0.00098 can be expressed as :
a. 8 x 10-3
b. 8 x 10-4
c. 980 x 0.98 x 10-5
d. All of the above
304. H.C.F of 90 and 126 is:
a. 12
b. 27
c. 36
d. 18
305. (a + b ) + c = a + (b + c) :
a. Associative property of addition
b. Commutative property of addition
c. Distributive property of addition
d. None
306. 8/8 is an example of:
a. Proper Fraction
b. Mixed Fraction
c. Improper Fraction
307. 0.525252 is an example of:
a. Irrational numbers
b. Rational numbers
308. LCM of 35,56 and 80 is:
a. 560
b. 320
c. 180
d. 450
309. Express the following as decimal 74905 + 87/1000 :
a. 749050.87
b. 749.05087
c. 7490.5087
d. 74905.087
310. Hexadecimal is a number system having numbers characterized by
base of:
a. 16
b. 10
c. 8
d. 2
311. When an experiment is repeated a number of times, it is of value to
know the average result :
a. True
b. False
312. Add 6.057, 0.0095+17.003 and express the answer correct to 2
decimal places:
a. 23.06
b. 23.05
c. 23.07
d. 23.10
313. Ratio can only be used for quantities of same kind expressed in same
units:
a. True
b. False
314. Prime factor of 180 is:
a. 4x9x5
b. 2x2x9x5
c. 2x2x3x3x5
315. Numbers divided by itself and unity are called as
a. Odd numbers
b. prime numbers
c. composite numbers
316. 75% is equivalent to:
a. 3/4
b. 75:100
c. 0.75
d. All of the above
317. In a class of 42 students, 5 were not promoted. What percent of the
students were promoted:
a. 88.1%
b. 11.9%
c. 22.5%
d. 47.6%
318. During one week the temperature at 6 am were as follows 56, 48, 60,
58, 59, 62, 56.What was the average temperature at 6 am:
a. 59
b. 57
c. 55
319. 2 1/5 x 3 3/4 x 2 1/3 = :
a. 77/4
b. 19 1/4
c. Both a & b
320. Graph of a quadratic equation is a:
a. Ellipse
b. Straight Line
c. Parabola
d. Hyperbola
321. In a figure the measurement which determines the position of a point
are called:
a. Axis
b. Co-ordinates
c. Origin
322. Simplify (a7 x 10√a) / a2
e. a71/10
f. a91/10
g. a51/10
323. Pictorial presentation of a system with values drawn to scale is known
as:
h. Slope
i. Angle
j. Graph
k. None
324. Vulgar fraction are those fractions whose denominator are always 10
or multiples of ten:
l. True
m. False
325. 1/√x³ can be expressed in the form of fractional indices as:
n. x -3/2
o. x 3/2
p. 1/x 3/2
q. Both a and c
326. transpose the equation ax + bx =c by making x as the subject:
r. c/(a+b)
s. c/(a-b)
t. (a+b)/c
u. (a-b)/c
327. a3 x a-3 = ?
v. a6
w. a-6
x. 1
y. 0
328. The value of x in the equation will be 3x 2 = 2x 1 will be:
z. 1
aa. 2
bb. 3
cc. None
329. The factors of x² + 4x +3 will be:
dd. (x + 3)(x - 1)
ee. (x + 3)(x + 1)
ff. (x - 3)(x + 1)
gg. (x - 3)(x - 1)
330. Calculate the value of y in the given proportion 300:750 :: 24: y
hh. 45
ii. 30
jj. 60
331. The profit of a company in the year 2007 was $7236. If this profit is to
be divided among 3 partners in the ratio of $:3:2, how much each
receives :
kk. $3216, $2580, $1608
ll. $3216, $2412, $1528
mm. $3216, $2412, $1608
nn. None
332. In the fourth quadrant the values of ordinate and abscissa are:
oo. Both positive
pp. Both negative
qq. Positive and negative respectively
rr. None
333. If A = B which of the following is true:
ss. A + x = B + x
tt. B A = 0
uu. A² = B²
vv. All of the above
334. In a right angled triangle, if opposite = 1, adjacent = 8 and
hypotenuse = 5 the tangent of the angle is equal to:
ww. 0.6
xx. 0.125
yy. 0.8
zz. 0.75
335. In a triangle ABC, angle A = 45° , angle B = 30° ,the value of angle C
will be:
aaa. 115°
bbb. 105°
ccc. 65°
ddd. -115°
336. Cosine is the ratio of:
eee. Opposite side to adjacent side
fff. Hypotenuse to adjacent side
ggg. Hypotenuse to opposite side
hhh. Adjacent side to hypotenuse
337. The value of y-intercept in the equation y = 3x -2 is:
iii. 2
jjj. 3
kkk. -2
lll. 1/3
338. Tan 90° =?
mmm. 1/2
nnn. ∞
ooo. 0
ppp. 1
339. Trigonometry is the branch of mathematics that deals with the sides
and angles of:
qqq. Right Angled Triangle
rrr. Obtuse Angled Triangle
sss. Acute Angled Triangle
340. The solution of Tan 130° is
ttt. Positive
uuu. Negative
vvv. Depends on quadrant
www. None
341. According to Pythagoras Theorem:
xxx. (Hypotenuse)² = (Base)² - (Perpendicular)²
yyy. (Base)² = (Hypotenuse)² + (Perpendicular)²
zzz. (Hypotenuse)² = (Base)² + (Perpendicular)²
aaaa. (Perpendicular)² = (Base)² + (Hypotenuse)²
342. Volume of a cone is given by:
bbbb. π r²
cccc. 4 π r²
dddd. 4/3 π r³
eeee. ⅓ π r² h
343. For the Co-ordinates (4,4) and (10,6) find the value of slope:
ffff. 1/3
gggg. 3
hhhh. -1/3
iiii. -3
1) The derivative of cosθ is equal to
a) Cotθ b) -Sinθ c) Sinθ d) -Cosecθ
2) Line touching the circle at only one point is called as:
a) Tangent b) Chord c) Arc d) Radius.
3) A triangle having none of its sides equal is called as:
a) Isosceles Triangle b) Scalene Triangle
c) Equilateral Triangle d) Obtuse Triangle
4) Determine the slope of the straight line in the equation 4x = 3y 2:
a) 2/3 b) 1/3 c) 4/3 d)-4/3
5) 1 Radian is equal to:
a) 180/π b) π/180 c) π /2 d)2/ π
6) Cosθ / sinθ is equal to:
a) Cotθ b) Tanθ c) Cosecθ d) Secθ
7) Octal number system deals with the numbers having base of:
a) 2 b) 10 c) 16 d) 8
8) If A = B then
a) A+X = B+X b)A^X=B^X c)A^1/y=B^1/y d)All
9) Sin 30Ί is equal to
a) ½ b)1/√2 c) √3 d)1/√3
10) A fraction in which numerator is larger then the denominator then the
fraction is said to be:
a) Improper fraction b) Mixed Fraction c) Proper Fraction
11) The least common multiple (L.C.M) of 15, 20 and 24 is
a) 360 b) 120 c) 270 d) 90
12) (x^m)^n can also be expressed as:
a)x^ m+n b) x^m-n c) x^mn d) None
13) Factorize the following: 12x²+7x-10
a) (4x+5)(3x-2) b) (4x+5)(3x+2)
c) (4x-5)(3x+2) d) (4x-5)(3x-2)
14) If 1:2 :: 2:x the value of x will be
a) 1 b) 2 c) 3 d) 4
Click here to see answer by Fombitz(2113) |
Question 238403: 1. If y(x-1) = z then x=
A. y-z
B. z/y + 1
C. y(z-1)
D. z(y-1)
2. If 3x=6x-15 then x + 8=
A. 13
B. 10
C. 11
D. 12
3. If 3x + 5x = -8, then x + 1 =
A. -2
B. -1
C. 0
D. 1
4. If 8x + 5x + 2x + 4x = 114, the 5x + 3 =
A. 12
B. 25
C. 33
D. 47
5. If y = 3, then y3(y3-y)=
A. 300
B. 459
C. 648
D. 999
6. Solve the following equation for A : 2A/3 = 8 + 4A
A. -2.4
B. 2.4
C. 1.3
D. -1.3
7. If r = 5 z then 15 z = 3 y, then r =
A. y
B. 2 y
C. 5 y
D. 10 y
8. Divide x5 by x2
A. x7
B. x4
C. x10
D. x3
9. If 8x + 5 = 21, then 3 x + 4 =
A. 2
B. 5
C. 10
D. 16
10. In the fraction 3/x, x may not be substituted by which of the following
sets?
A. {1, 2, 4}
B. {-2,-3,-4}
C. {1, 3, 7}
D. {0, 10, 20}
11. If one of the roots of the quadratic equation x2 + mx + 24 = 0 is 1.5,
then what is the value of m?
A. -22.5
B. 16
C. -10.5
D. -17.5
12. Find the remainder when the polynomial x4 - 3x2 + 7x - 10 is divided by
x - 2.
A. 8
B. -20
C. 18
D. 0
13. If one of the roots of the quadratic equation 2x2 - 7x + q = 0 is 3, then
find the other root.
A. -3
B. -1/2
C. 1/2
D. 1/4
14. If p and q are the roots of the equation x2 - bx + c = 0, then what is the
equation if the roots are (pq + p + q) and (pq - p - q)?
A. x2 - 2cx + (c2 - b2) = 0
B. x2 - 2bx + (b2 + c2) = 0
C. Bcx2 - 2(b+c)x + c2 = 0
D. x2 + 2bx - (c2 - b2) = 0
15. If (x + 2) 2 = 9 and (y + 3) 2 = 25, then the maximum value of x / y is.
A. 1 / 2
B. 5 / 2
C. 5 / 8
D. 1 / 8
16. For what values of 'm' is y = 0, if y = x2 + (2m + 1)x + m2 - 1? X is a
real number.
A. m -2
B. m < 0
C. m = 0
D. m -1.25
17. Let R be the real line. Consider the following subsets of the plane R Χ R.
S = {(x, y) : y = x + 1 and 0 < t =" {(x,">
(a) neither S nor T is an equivalence relation on R
(b) both S and T are equivalence relations on R
(c) S is an equivalence relation on R but T is not
(d) T is an equivalence relation on R but S is not
18. The point diametrically opposite to the point P (1, 0) on the circle x2 +
y2 + 2x + 4y − 3 = 0 is:
A. (− 3, − 4)
B. (-3, 4)
C. (3, 4)
D. (-4, -1)
Click here to see answer by Fombitz(2113) |
Question 238402: 1. Two angles of a triangle measure 15° and 85 °. What is the measure
for the third angle?
A. 50°
B. 55°
C. 60°
D. 80°
2. You are lying 120 ft away from a tree that is 50 feet tall. You look up
at the top of the tree. Approximately how far is your hear from the top
of the tree in a straight line?
A. 50 feet
B. 75 feet
C. 120 feet
D. 130 feet
3. A cyclist bikes x distance at 10 miles per hour and returns over the
same path at 8 miles per hour. What is the cyclist's average rate for the
round trip in miles per hour?
A. 8.1
B. 8.3
C. 8.6
D. 8.9
4. Two angle in a triangle equal 120°. What is the measure of the third
angle?
A. 60°
B. 70°
C. 80°
D. 90°
5. The radius of the in circle of a triangle whose sides are 18,24,30 is ?
A. 2
B. 4
C. 6
D. 9
6. The surface area of the three coterminous faces of a cuboid are 6,
15, 10 sq.cm respectively. Find the volume of the cuboid.
A. 30
B. 20
C. 40
D. 35
7. The area of the triangle whose vertices are (a,a) , (a+1,a+1) and
(a+2,a) is :
A. cube of a
B. 1
C. 2a
D. 1.414
8. What is the value of each angle of an equilateral triangle?
A. 60 degree
B. 90 degree
C. 120 degree
D. 180 degree
9. The lines (x 2 ) / 1 = (y 3) / 1 = (z 4) / k and (x 1) / k =
(y 4) / 2 = (z 5) / 1 are coplanar if
A. k = 1 or 1
B. k = 0 or 3
C. k = 3 or 3
D. k = 0 or 1
10. A cube and a rectangular solid are equal in volume. If the lengths of
the edges of the rectangular solid are 4, 8, and 16, what is the length of
an edge of the cube?
A. 4
B. 8
C. 12
D. 16
11. How many whole such blocks?
The size of a wooden block is 5 * 10 * 20 cm3. How many whole such
blocks you will take to construct a solid wooden cube of minimum size?
A. 6
D. 8
C. 12
D. 16
12. An Intersection C is a circle and P is a point exterior to it. Several
lines are drawn through P such that each line has nonempty intersection
with C. If 2005 points of intersection are formed, then among the lines
A. There may be two tangents
B. There may be three tangents
C. There has to be precisely one tangent
D. None of these
13. If a circle has the diameter of 8, what is the circumference?
A. 6.28
B. 12.56
C. 25.13
D. 50.24
14. Of a triangle each measure 70°. What is the measure of the third
angle in degrees?
A. 40°
B. 80°
C. 100°
D. 120°
15. In triangle ABC, AB=BC and (C's measure is 65°.) What is the
measure of angle B?
A. 40°
B. 50°
C. 60°
D. 65°
16. The perpendicular bisector of the line segment joining P (1, 4) and
Q (k, 3) has y−intercept − 4. Then a possible value of k is
A. 1
B. -4
C. 3
D. 2
Click here to see answer by Fombitz(2113) |
Question 241243: a) Find the sum of this sequence: 1+3+9+27..3^19
b) Form the formula by filling in the blank:
S= a + ar + ar^2 + ar^3 + ... + ar^(n-1)(The series stops at n-1 power because there are n terms, but the first one is not multiplied by r)
rS=______________?
rS=___________?(Substritute S-a)
rS-S=______?
but rS-S can be factored: rS-S=S(r-1),so
S=__________?
I got a), it is 1,743,392,200 But i have no idea how to come up with the formula, even though the book reads the general formula is S=a(r^n-1)/(r-1)
Please explain. I'm very thankful for your helps!
Click here to see answer by rapaljer(3622) |
|
Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215
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