Questions on Logic: Sets and operations answered by real tutors!

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Question 1184103: D={5,7}
Click here to see answer by greenestamps(13200)

Question 1185284: multiplies of 5 between 4 and 5

Click here to see answer by Alan3354(69443)

Question 1185413: At a luncheon for 37 eminent people 25 requested for fried rice,15 requested for salad while 20 requested for shredded beef. 7 people requested for fried rice and salad,13 people requested for fried rice and shredded beef, and 8 people requested for salad and shredded beef, also 10 people requested for fried rice only, 5 people requested for salad only, find the number of people that requested for two different dishes
Click here to see answer by ikleyn(52781)

Question 1186147: 1. Three basketball players named Badje, Enrico, and Rodel are walking to the basketball court. Badje, the best player of the three, always tells the truth. Enrico sometimes tells the truth, while Rodel, the worst player, always lies. The first person said that “the guy in the middle is Rodel”. The second person said that “he is enrico”. The third person said that “the guy in the middle is Badje”. Determine who is the first, second, and the third guy.

Click here to see answer by ikleyn(52781)

Question 1186732: A certain breed of mouse was introduced onto a small island with an initial population of 240 mice, and scientists estimate that the mouse population is doubling every year.
(a) Find a function N that models the number of mice after t years.
N(t) =

(b) Estimate the mouse population after 5 years.
mice
Click here to see answer by ikleyn(52781)

Question 1192319: 50% people use cell phone for writing notes,40% use paper,20% people use both,if a person is selected at random find the probability that he uses neither for taking notes?

Click here to see answer by Edwin McCravy(20055)

Question 1193271: In a certain examination, candidates offered Biology, History Mathematics, offered both Biology and History, Mathematics and Biology, Mathematics and History. If candidates offered all three subjects. (a) . How many candidates were there for the examination? (b) ) How many candidates offered ONE subject only? (c) How many candidate offered TWO subjects only? (d) How many candidates offered at least TWO subjects?
Click here to see answer by ikleyn(52781)

Question 1194340: A class contain 81 pupils 55 of then are girls 42 pupils including all the boys are day student draw this information find the number of girls that are day student
Click here to see answer by ankor@dixie-net.com(22740)

Question 1194891: In MBA 45th batch, 40% of the girls are fair and the reminder is brown. Half of the girl are beautiful and half are moderate. If 10% of the girls are fair and beautiful, and 40 girls are brown and moderates, how many girls are fair and moderate?
Click here to see answer by ikleyn(52781)

Question 1194388: A woman borrows $1500, agreeing to pay $100 at the end of each month to reduce the outstanding principal and agreeing to pay the interest due on any unpaid balance at a rate of 12% per annum (i.e. 1% per month). Determine the sum of all interest payments.
Click here to see answer by Theo(13342)

Question 1195722: The mean of a set of 10 numbers is 56. If the mean of the first nine numbers is 55, find the 10th number
Click here to see answer by Theo(13342)

Question 1195722: The mean of a set of 10 numbers is 56. If the mean of the first nine numbers is 55, find the 10th number
Click here to see answer by greenestamps(13200)

Question 1195725: Given that A and B are sets such that n(A) = 8, n(B) = 12 and n(AnB) = 3, find n(AnB)
Click here to see answer by math_helper(2461)

Question 1196153: In an orchestra, 22 people can play stringed instruments, 21 can play brass,14 and can play percussion. Further, 8 of the performers can play both strings and brass, whereas 4 can play both strings and percussion. If no one can play all three types of instruments, what are the maximum and minimum numbers of people in the orchestra?
Click here to see answer by ikleyn(52781)

Question 1196436: how many one-to-one correspondences are there between two sets with k elements each?
Click here to see answer by ikleyn(52781)

Question 1197041: A survey of 95 persons was conducted at PCC. Everyone was asked if they carried a cell phone and they were asked if they carried a tablet. It was found that 38 persons carried a cell phone, 19 persons carried a tablet computer, and 9 carried both a cell phone and a tablet.
Remember to draw a Venn Diagram to help you answer this question.
How many people carried a cell phone or a tablet?
Hint: You might want to determine how many people carried JUST a cell phone or JUST a tablet. Make sure the four regions of your set diagram add to 95.
How many people carried neither a cell phone nor a tablet?

How many people carried a cell phone only?

How many people carried a tablet but not a cell phone?
Click here to see answer by math_tutor2020(3817)

Question 1197058: If B = { c, d, e } and C = { e, f } then B U C is
Click here to see answer by ikleyn(52781)

Question 1197920: How many different integers can be represented as a sum of four distinct numbers chosen from the set {7,20,33,46,...,150}?
Click here to see answer by Edwin McCravy(20055)

Question 1198225: Find the next term for the following two sequences and provide the pattern rules. These pattern rules may be purely observational in some cases.
(a) 1, 9, 3, 27, 9, 81, 27, _____
(b) -2, 0, 7, 22, 48, _____

Thank you!
Click here to see answer by greenestamps(13200)

Question 1198378: Let U={a, b, c, d, e, f, 1, 2, 3, 4, 5, 9} A={a, b, c, 1, 3, f} B={5, e, f, 3} find Ac Union B
Click here to see answer by greenestamps(13200)

Question 1198456: A survey of 500 students were interviewed regarding their methods of transportation used to attend college the previous week. The results are outlined below:
60 walked (W)
80 caught the jitney (J)
74 drove by car only (C)
Only 4 walked and caught the jitney
16 walked and drove
90 drove but did not walk
10 did all three
a.) Use the above data to complete a Venn Diagram using letters W, J, and C.
b.) Using the results of the completed venn diagram, how many students:
i.) used none of the methods of transportation listed that week:
ii.) used exactly none of the three methods:
iii.) caught the bus only:
iv.) used at least two of the methods :
Click here to see answer by ikleyn(52781)

Question 1198758: The members of a College staff club were asked to indicate the brand of beer they drink. 5 members drank stars and Trophy beers, 7 members drank star and club beers, 6 members drank starbeer only, 11 drank Trophy beer only while 5 drank club only. Three members drank all the three brands. assuming that each member drank at least one brand of beer, Find
i, the number of members that drank star beer
ii, the number of members that drank Trophy beer
iii, the number of members that drank club beer
iv, the total number of members in the club
Click here to see answer by math_tutor2020(3817)

Question 1198835: Let
U= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A= {1, 2, 4, 6}
B= {3, 7}
C={1, 3, 6, 7, 8}
List all the members of the following set. (Enter your answers as a comma-separated list. Enter EMPTY or ∅ for the empty set.)
A ∩ (/B ∪ C)
Click here to see answer by MathLover1(20849)

Question 1199900: Buduli covers a distance of 8km to his house in 1hour.He walks part of the distance at 6km/h
and runs the rest at 10km/h. How many kilometers did he run.
Click here to see answer by ikleyn(52781)

Question 1199899: In a house of twenty people ,8 liked Ampesi,12 liked banku and 12 liked Fufu.5 liked both Ampesi
and Fufu,6 liked Banku and Fufu,2 only Ampesi and 3 liked all three types of food.
a). Illustrate the information on a Venn diagram
b). Find the number of in the house who liked ;
(i). only Fufu
(ii). Exactly two types
(iii).Only one type of food.
Click here to see answer by math_tutor2020(3817)

Question 1201122: In a class of 35 students, 19 take history and 12 take economic. If 5 take both subjects, how many take neither?
Click here to see answer by mananth(16946)

Question 1201715: The relation ⋆ is defined on the set N by
x⋆y if and only if every divisor of x is a divisor of y.
a)Is ⋆ reflexive?
b)Is ⋆ symmetric?
c)Is ⋆ anti-symmetric?
d)Is ⋆ transitive?
e)Is ⋆ an equivalence relation, a partial order, both or neither?
Thanks in advance!
Click here to see answer by ikleyn(52781)

Question 1204279: 1. Let a coin and a die be tossed; let the sample space S consists of the twelve elements:
S={H 1, H 2,H 3 , H 4, H 5 ,H 6,T 1 ,T 2 ,T 3 ,T 4 ,T 5,T 6}
a. Express explicitly the following events:
i. A= {heads and an even number appear}
ii. B= {a prime number appears}
iii. C= {tails and an odd number appear}
b. Express explicitly the event that:
i. A or B occurs.
ii. B andC occurs.
iii. Only B occurs.
. c. Which of the events A,B and C are mutually exclusive?

Click here to see answer by mananth(16946)

Question 1204588: In a recent survey of 180 housewives. The following were determined with regard to their detergent soap preferences.
65 use brand A
140 use brand B
145 use brand C
115 use B and C
23 use A but not B
12 use A but not C
18 A and C but not B
Click here to see answer by ikleyn(52781)

Question 1204589: In a recent survey of 180 housewives. The following were determined with regard to their detergent soap preferences
65 use brand A
140 use brand B
145 use brand C
115 use B and C
23 use A but not B
12 use A but not C
18 use A and C but not B
A) Draw a Venn diagram to summarize the given data.
B) Determine the number of housewives who use all 3 soaps.
C) How many do not use any of the above brands.
Click here to see answer by ikleyn(52781)

Question 1205085:
Click here to see answer by greenestamps(13200)

Question 1205085:
Click here to see answer by MathLover1(20849)

Question 1205816: Among 70 Jambites, a survey shows that: 23 were taking Physics 25 were taking Biology 22 were taking Chemistry 6 were taking Physics and Biology 7 were taking Biology and Chemistry 8 were taking Chemistry and Physics 2 were taking Physics, Biology and chemistry. (a) How many of the Jambites were taking none of the three sciences? (b) How many were taking just one of the three subjects?
Click here to see answer by ikleyn(52781)

Question 1206195: A group of 2175 students were surveyed about the
courses they were taking at their college with
the following results:
1025 students said they were taking Dance.
1087 students said they were taking History.
1115 students said they were taking Math.
585 students said they were taking History and Math.
501 students said they were taking Math and Dance.
537 students said they were taking History and Dance.
243 students said they were taking all three courses.
Click here to see answer by mccravyedwin(407)

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