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Answers posted by thanvigandhi_1
Questions
3013
answers
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best answers
0
votes
In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I,11 read both H and T, 8 read both T and I, 3 read all three newspapers. Find: \[\] the number of people who read at least one of the newspapers.
answered
Jun 22, 2014
52
0
votes
In a group of students 100 students know Hindi, 50 know English and 25 know both. Each of the students knows either Hindi or English. How many students are there in the group?
answered
Jun 22, 2014
125
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votes
In a survey of 600 students in a school, 150 students were found to be taking tea and 225 taking coffee, 100 were taking both tea and coffee. Find how many students were taking neither tea nor coffee?
answered
Jun 22, 2014
352
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votes
Find sets A, B and C such that A $ \cap $ B, B $ \cap $ C and A $ \cap $ C are non-empty sets and A $ \cap $ B $ \cap $ C = $ \phi $.
answered
Jun 22, 2014
A = {0, 1}, B = {1, 2}, and C = {2, 0}.
0
votes
Is it true that for any sets A and B, P (A) $ \cup $ P (B) = P (A $ \cup $ B)? Justify your answer.
answered
Jun 22, 2014
False
0
votes
In the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example \[\] If A $ \subset $ B and x $ \not{\in}$ B, then x $ \not{\in}$ A
answered
Jun 22, 2014
True
0
votes
In the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example \[\] If x $ \in $ A and A $ \subset $ B, then x $ \in $ B
answered
Jun 22, 2014
False
0
votes
In the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example \[\] If A $ \not{\subset } $ B and B $ \not{\subset }$ C, then A $ \not{\subset }$ C
answered
Jun 22, 2014
False
0
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In the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example \[\] If A $\subset $ B and B $\subset $ C, then A $\subset $ C
answered
Jun 22, 2014
True
0
votes
In the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example \[\] If A $ \subset$ B and B $ \in $ C, then A $ \in $ C
answered
Jun 22, 2014
False
0
votes
In the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example \[\] If x $ \in $ A and A $ \in $ B, then x $ \in $ B
answered
Jun 22, 2014
False.
0
votes
Decide, among the following sets, which sets are subsets of one and another: \[\] $A = \{x: x \in R$ and $x$ satisfy $x^2 – 8x + 12 = 0\}$, $B = \{2, 4, 6\}, C = \{2, 4, 6, 8…\}, D = \{6\}$.
answered
Jun 22, 2014
$A \subset B, A \subset C, B \subset C, D \subset A, D \subset B, D \subset C$
0
votes
In a group of athletic teams in a school, 21 are in the basketball team, 26 in the hockey team and 29 in the football team. If 14 play hockey and basket ball; 12 play football and basketball; 15 play hockey and football and 8 play all the three games. Find (i) how many players are there in all (ii) how many play football only.
answered
Jun 22, 2014
(i) – 43 ; ii – 10Hence (B) is the correct answer.
0
votes
If n(A – B) = 30 + x, n(B – A) = x and n(A $ \cap $ B) = 2x and n(A) = 2 n(B), then find x.
answered
Jun 22, 2014
10Hence (A) is the correct answer.
0
votes
If n(A) = 50, n(B) = 30 and n(A $ \cap $ B), then find n(A $ \Delta $ B).
answered
Jun 22, 2014
60Hence (B) is the correct answer.
0
votes
How many elements are there in the product set A $ \times $ A, where A = {a, b, c, d}?
answered
Jun 22, 2014
16Hence (D) is the correct answer.
0
votes
X, Y are two sets and X has 40 elements, X $ \cup $ Y has 60 elements and X $ \cap $ Y has 10 elements. Then the number of elements in Y is
answered
Jun 22, 2014
30Hence (A) is the correct answer.
0
votes
Of the 20 teachers of mathematics and physics, 12 teach mathematic and 4 teach both the subjects. The number of teachers teaching physics is
answered
Jun 22, 2014
12Hence (D) is the correct answer.
0
votes
If n(A) = 115, n(B) = 326, n(A – B)=47, then n A $ \cup $ B is equal to
answered
Jun 22, 2014
373Hence (A) is the correct answer.
0
votes
A survey shows that 63% of the Americans like cheese whereas 76% like apples. If x% of the Americans like both cheese and apples, find the value of x.
answered
Jun 22, 2014
39 $ \leq $ x $ \leq $ 63Hence (D) is the correct answer.
0
votes
If A and B be two sets containing 3 and 6 elements respectively, what can be the minimum number of elements in A $ \cup $ B? Find also, the maximum number of elements in A $ \cup $ B.
answered
Jun 22, 2014
Minimum : 6 Maximum : 9Hence (A) is the correct answer.
0
votes
In a city, there are three major newspapers A, B, C of which at least two are read by 35 percent of the population. It is known that newspaper C is read by 45 percent of the population, that newspapers A and B are read by 15 percentage and that all the three are read by 10 percent. What percent of the population reads only newspaper C?
answered
Jun 22, 2014
15%Hence (B) is the correct answer.
0
votes
In a class of 60 students, it was found that 30 students read “The Hindu” and 35 read “Indian Express” and 5 read neither. Using the Venn diagram, find how many students read both “The Hindu” and “Indian Express”.
answered
Jun 22, 2014
10hence (A) is the correct answer.
0
votes
In a class of 60 boys, there are 45 boys who play cards and 30 boys play caroms. Find the number of boys who play both games.
answered
Jun 22, 2014
15Hence (A) is the correct answer.
0
votes
A town has a total population of 25,000 out of which 13,000 read “The Hindustan Times” and 10,500 read “The Indian Express” and 2,500 read both papers. Find the percentage of population who read neither of these newspapers.
answered
Jun 22, 2014
16%
0
votes
Let A and B be two sets such that n(A) = 20, and . Find n(B) + n(A – B) + n(B – A).
answered
Jun 22, 2014
64
0
votes
In a town of 10,000 families it was found that 40% families buy newspaper A, 20% families buy newspaper B, and 10% families buy newspaper C. 5% families buy A and B, 3% buy B and C and 4% buy A and C. If 2% families buy all the three newspapers, find the number of families which buy (i) A only (ii) B only (iii) none of A, B and C
answered
Jun 22, 2014
i) 3300 (ii) 1400 (iii) 4000
0
votes
In a college of 300 students, every student read 5 newspapers and every newspaper is read by 60 students. Find the number of newspapers.
answered
Jun 22, 2014
25Hence (C) is the correct answer.
0
votes
Each student in a class of 40, studies atleast one of the subjects English, Mathematics and Economics. 16 study English, 22 study Economics, 26 study Mathematics, 5 study English and Economics, 14 studies Mathematics and Economics. 2 study English and Economics and Mathematics. Find the number of students who study English and Mathematics.
answered
Jun 22, 2014
7hence (A) is the correct answer.
0
votes
In a group of 1000 people, there are 750, who can speak Hindi and 400, who can speak Bengali. How many can speak Hindi only? How many can speak Bengali only? How many can speak both Hindi and Bengali?
answered
Jun 22, 2014
No. of people speaking Hindi and Bengali both is 150. No. of people who speak Hindi only = 600. No...
0
votes
Out of 120 members of a class, 50 play Cricket, 60 play Football, 48 play Hockey, 18 play Cricket and Hockey, 20 play Cricket and Football, 24 play Hockey and Football and 10 play all the three grames. Answer the following questions. \[\] How many of them play none?
answered
Jun 22, 2014
14 students do not play any game.Hence (D) is the correct answer.
0
votes
Out of 120 members of a class, 50 play Cricket, 60 play Football, 48 play Hockey, 18 play Cricket and Hockey, 20 play Cricket and Football, 24 play Hockey and Football and 10 play all the three grames. Answer the following questions. \[\] How many of them play only Cricket?
answered
Jun 22, 2014
22 play only Cricket. Hence (C) is the correct answer.
0
votes
Let A has 3 elements and B has 6 elements. What can be the minimum number of elements in A $ \cup $ B.
answered
Jun 22, 2014
6Hence (C) is the correct answer
0
votes
In a group of 500 persons, 300 take tea, 150 take coffee, 250 take cold drink, 90 take tea and coffee, 110 takes tea and cold drink, 80 take coffee and cold drink and 30 take none of the three drinks. The number of persons who take all the three drinks.
answered
Jun 22, 2014
50 Hence (B) is the correct answer.
0
votes
For a certain test, a candidate could offer English or Hindi or both the subjects. Total number of students was 500, of whom 350 appeared in English and 90 in both the subjects, then find number of candidates appeared in English only.
answered
Jun 22, 2014
260Hence (A) is the correct answer.
0
votes
In a certain school 40% of the pupils play basketball, 25% play volleyball and 10% play both. What percent of pupils play neither?
answered
Jun 22, 2014
45%Hence (D) is the correct answer.
0
votes
In a group of 50 persons, 14 drink tea but not coffee and 30 drink tea. Then find number of persons who drink tea and coffee both.
answered
Jun 22, 2014
16Hence (C) is the correct answer.
0
votes
A survey shows that 76% of the Indians like oranges whereas 62% like bananas. The percentage of Indians like both oranges and bananas is
answered
Jun 22, 2014
38%Hence (A) is the correct answer.
0
votes
If n (A $ \cup $ B) = 51, n(A) = 20, n(B) = 44, find n(A $ \cap $ B).
answered
Jun 22, 2014
n (A $ \cap $ B) = 64 – 51 = 13.
0
votes
If n (A) = 20, n(B) = 8 and n (A $ \cup $ B) = 28, find n(A $ \cap $ B).
answered
Jun 22, 2014
n(A $ \cap $ B) = 0
0
votes
Given that n (A) = 25, n (B) = 15, n (A $ \cup $ B) = 10. Determine n(A $ \cap $ B)
answered
Jun 22, 2014
n(A $ \cap $ B) = 30.
0
votes
In a survey it was found that 21 people liked product A, 26 liked products B and 29 liked product C. If 14 people liked products A and B, 12 people liked products C and A, 14 people liked products B and C and 8 liked all the three products. Find how many liked product C only.
answered
Jun 19, 2014
11hence (A) is the correct answer.
0
votes
In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. How many speak at least one of these two languages?
answered
Jun 19, 2014
60 people in the committee speak at least one of the two languages.hence (A) is the correct answer.
0
votes
In a group of 65 people, 40 like cricket, 10 like both cricket and tennis. How many like tennis only and not cricket? How many like tennis?
answered
Jun 19, 2014
25 people like only tennis.Hence (C) is the correct answer.
0
votes
In a group of 70 people, 37 like coffee, 52 like tea, and each person likes at least one of the two drinks. How many people like both coffee and tea?
answered
Jun 19, 2014
19 people like both coffee and tea.Hence (B) is the correct answer.
0
votes
If X and Y are two sets such that X has 40 elements, X $ \cup $ Y has 60 elements and X $ \cap $ Y has 10 elements, how many elements does Y have?
answered
Jun 19, 2014
30 elements.Hence (A) is the correct answer.
0
votes
If S and T are two sets such that S has 21 elements, T has 32 elements, and S $ \cap $ T has 11 elements, how many elements does S $ \cup $ T have?
answered
Jun 19, 2014
42 elements.hence (D) is the correct answer.
0
votes
In a group of 400 people, 250 can speak Hindi and 200 can speak English. How many people can speak both Hindi and English?
answered
Jun 19, 2014
50 people can speak both Hindi and English.Hence (C) is the correct answer.
0
votes
If X and Y are two sets such that X $ \cup $ Y has 18 elements, X has 8 elements and Y has 15 elements; how many elements does X $ \cap $ Y have?
answered
Jun 19, 2014
n(X $ \cap $ Y) = 5Hence (B) is the correct answer.
0
votes
If X and Y are two sets such that n(X) = 17, n(Y) = 23 and n(X $ \cup $ Y) = 38, find n(X $ \cap $Y).
answered
Jun 19, 2014
n(X $ \cap $ Y) = 2 Hence (A) is the correct answer.
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