Multiple Choice Questions
options (1 to 26):
Choose the correct answer from the given four
not a set?
1. Which of the following collection of objects is
(a) The collection of all even integers.
(b) Thecollection of all months of a year beginning with letter J.
(c) The collection of most talented writers of India.
(a) The collection of all prime numbers less than 20.
2. IfA= (1, 2,3, 4, 5), then which of the following is not true?
(a) 0 A (b) 3 e A (c) (3) eA (d) (3} cA
3. Which of the following is a null set?
(a) {x:xe N, 2x -1=3)
(b) (x:x e N, x2< 20}
(c) {x:x is an even prime greater than 2}
(d) {x:x e I, 3x +7=1}
50
4. Which of the following is a finite set?
(a) (x:x= 2n, n e N) (b) (x:xis aprime number)
(d) (x:xe I, r<7
(c) (x:e N, xis a factor of 128)
C= (7, 8,9). Which of the following may be
5. Given sets A = (1, 3, 5,7, 9), B = (0, 2, 4, 6} andBand
A, C?
taken as universal set for all the three sets
(b) (1, 2, 3, 4, 5, 6, 7, 8,9)
(a) {0, 1, 2, 3,4, 5, 6, 7,8)
(d) (0, 1, 2, 3,4, 5, 6,7, 8,9, 10}
(c) {1, 2, 3, 4, 5, 6,7, 8,9, 10}
elementsis
6. Number of proper subsetsof aset containing4 (d) 24- 1
(b) 42-1 (c) 24
(a) 4
7. Which of the following is not correct?
(c) QcR (d) NcT
(a) NcR (b) NcQ
then A- Bis
8. On real axis if A= [1, 5] and B = (3, 9],
(b) (1, 3) (c) [5,9) (d) [1, 3)
(a) (5,9)
50, then n(ANB) is
9. If n(A-B) = 10, n(B A) =23, n(A UB) = (d) 33
(b) 17 (c) 27
(a) 7 of the following is not correct?
A B, then which
10. Two finite sets A and Bare such that (d) B-A =
(a) AUB= B (b) AnB =A (c) A- B=
sets have m and n elements respectively. The total number of subsets of the first
11. Two finite m and n
number ofsubsets of the second set. The values of
set is 192 more than the total
respectively are
(c) 8, 5 (d) 9,7
(a) 7,6 (b) 8,6
equal to
12. For any two sets Aand B, An(AUB) is (d) ANB
(a) A (b) B (c)
to
13. For any two sets Xand Y, X^ (XUYY is equal
(b) Y (c) (d) X^Y
(a) X
to
14. For any two sets A and B, ((A'U B) -A)' is equal
(b) B (c) (d) AnB
(a) A
to
15. For any two sets Aand B, (B'U(B' A)]' isequal
(b) B (c) (d) AUB
(a) A
16. For anythree sets A, Band C,(A- B) ^(C- B) is equal to
(a) A-(BnC) (b) (A-C) NB (c) (ANC) - B (d) (A-B) ^C
17. Let Aand Bare two disjoint sets and be the universal set, then A'U((AVB) B) is equal
to
(b) (c) A (d) B
(a)
C = the set of
18. Let S= set of points inside the square, T= set of points inside the triangle and
contained in a
points inside the circle. If the triangle and circle intersect each other and are
Square. Then
(a) S^TOC= ¢ (b) SUTUC=C (c) SUTUC =$ (d) SUT =SAC
19. Let Rbe the set of points inside a rectangle of sidesa and b (, b > 1) with two sides along the
positive direction of x-axis and y-axis. Then
(a) R= {(x, y) :0sx[a, 0sysb} (b) R=(x, v):0sx<a, 0sysb}
(c) R={(x, y):0sxsa, 0<y<b} (d) R= (x, y) : 0<x<a, 0 <y<b)
20. In a class of 80 students, 39 students play football and 45 students play cricket and 15 students
play both the games. Then the number of students who play neither is
(a) 11 (b) 14 (c) 16 (d) 18
21. In a town of 840persons, 450persons read Hindi, 300 read English and 200 read both. Th.
number of persons whoread neither is
(a) 210 (b) 290 (c) 180 (d) 260
22. In agroup of 70 people, 52 like soft drinks and 37 like tea and each person likes atleast
of the two drinks. Then the number of people who like both the drinks is
(a) 15 (b) 19 (c) 18 (d) 20
23. A T. V. survey gives the following data for T.V. watching 59% of the people watch program
A,67% of the people watch program Band x% of the people watch both the program, then
(a) x= 26 (b) x= 59 (c) 26 <xs 59 (d) x>59
1
24. If A= (x, y) :y = ,0xeR}, B=
B= (t,y) :y=-x, xe R}, then
(a) AB=A (b) AB= B (c) AB= (d) AUB= A
25. Ifn(E) =50, n(A) = 38, n(B) = 30, then the least value of n(AN B) is
(a) 30 (b) 38 (c) 50 (d) 18
26. Let E =(1, 2, 3, ..,. 40}, A =(r:x is divisible by 2and 3) and B= (x:x= n2, n e N), then
n(A) - n(B) is
(a) 0 (b) 1 (c) 2 (d) 3
