Tutors Answer Your Questions about Sequences-and-series (FREE)
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 ¾ 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 × 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 ¾ feet
C. 3 ½ feet
D. 3 ¼ 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 ¼ 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 ¼ 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(32388)   |
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 × 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(32388) |
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(32388) |
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(4671)  |
Question 241682: Show a complete solution to each problem.
Find the exact length of the side of a square whose diagonal is 3 feet.
Draw a square. Draw a diagonal. Let each side length be x.
I don't understand what they are asking and am not sure how to solve this problem. Can someone help explain. Thanks.
Click here to see answer by rfer(16322) |
Question 241682: Show a complete solution to each problem.
Find the exact length of the side of a square whose diagonal is 3 feet.
Draw a square. Draw a diagonal. Let each side length be x.
I don't understand what they are asking and am not sure how to solve this problem. Can someone help explain. Thanks.
Click here to see answer by unlockmath(1688)  |
Question 242174: A man walks 25 miles a day. On the following days he travel 5% less each day than the previous day. If he walked in the straight line, how far from his statrting point would he travel?
I'm learning infinite geometric series, please explain your solutions. Thanks for your helps.
Click here to see answer by stanbon(75887) |
Question 242174: A man walks 25 miles a day. On the following days he travel 5% less each day than the previous day. If he walked in the straight line, how far from his statrting point would he travel?
I'm learning infinite geometric series, please explain your solutions. Thanks for your helps.
Click here to see answer by solver91311(24713)  |
Question 247863: Tom purchased a rare stamp for $9 000. He was guaranteed that the stamp would increase in value by 15% each year based on the original value. What is the value of the stamp if Tom owns it for 5 years?
I have to put this into an equation...somehow. So,
know: a=9 000
r=15%
tn=5
find:n
Ok, so how do I do this?
Click here to see answer by richwmiller(17219)  |
Question 247863: Tom purchased a rare stamp for $9 000. He was guaranteed that the stamp would increase in value by 15% each year based on the original value. What is the value of the stamp if Tom owns it for 5 years?
I have to put this into an equation...somehow. So,
know: a=9 000
r=15%
tn=5
find:n
Ok, so how do I do this?
Click here to see answer by Fombitz(32388) |
Question 247860: There is a legend that the inventor of chess chose the follwing as his reward. One grain of wheat on the first square, two grains on the second square, four on the third, eight on the fourth, and so on for all sixty-four squares on the chess board. Find an expression for the amount of wheat required to fulfill his request.
So I know:a=1
r=2
tn=64
Have I done something wrong? I don't understand how this one works.
Click here to see answer by Alan3354(69443)  |
Question 247865: A theater has 32 rows of seats. The first row has 24 seats. Each of the remaining rows increases by 2 seats. How many seats are there in the theater?
know: tn=32
a=24
r=2
find: n
So wouldn't I use the formula tn=a(r) to the exponent n-1?
Click here to see answer by scott8148(6628)  |
Question 247854: Question: Find the sums of the following geometric series. 1 + 3 + 9 +...+2187.
What I've tried so far...
So: know:a=1
r=3
tn=2187
find:???
For this problem, wouldn't I have to find how many terms are in the sequence first? Then whatever n is, I plug that into another equation?
I'm so lost...please help!
Click here to see answer by mathitutor(25) |
Question 247908: Please help me answer this question so in future i understand questions like this:
here are the first five terms of a sequence:
8,11,14,17,20
a.find an expression,in terms of n, for the nth term of this sequence.
b.joan says the number 100 is a term of this sequence. joan is wrong. explain why.
I fully understand on how to do question a. but i found it a struggle to answer question b. i would appreciate it if you would help me. thank you.
Click here to see answer by scott8148(6628) |
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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, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790
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