- 1. How many elements are there in the complement of Set A
A) None of these
B) All the Elements of A
C) 0
D) 1
A) Universal set
B) Infinite Set
C) Unknown Set
D) Finite Set
- 3. The number of elements in the Power Set P(S) of the set S= {1, 2, 3} is___
A) 2
B) None of these
C) 4
D) 8
- 4. Order of the power set P(A) of a set of order n is equal to___
A) 2n
B) n2
C) n
D) 2n
- 5. Which of the following two sets are equal ?
A) A=(1,2,3) and B =(2,1,3)
B) A= (1,2) and B =(1)
C) A= (1,2) and B = (1,2,3)
D) A= (1,2,3) and B =(1,2,3)
- 6. Let U = {1,2,3,4,5,6,7,8,9,10},
P= {1,2,5}
Q= {6,7}, then P n Q' is____
A) q
B) P
C) None of these
D) Q'
- 7. The Cardinality of the power ser of
{x :xEN, x not greater than 10} is
A) 2048
B) None of these
C) 1024
D) 1023
- 8. Write X= {1,4,9,16,25,...) in set builder form.
A) X = {x : x is a set of Prime Numbers}
B) X = {x : x is a set of Natural Numbers}
C) X = { x = x is a set of square numbers}
D) X = {x : x is a set of Whole numbers}
- 9. If A, B and C are any three sets, then
A x ( B u C) is equal to...
A) ( A u B) x ( A u C)
B) ( A x B) u ( A x C)
C) None of these
D) ( A x B ) n (Ax C)
- 10. The range of the function f(x) = 3x -2, is......
A) (0, - infinity)
B) R -{3}
C) ( - infinity, infinity)
D) (- infinity, 0)
- 11. If f(x) = lf f [(1+x) /(1-x), then f(2x)/(1+x2) is equal to___
A) 2 f(x)
B) 3f(x)
C) {f (x)}3
D) {f (x)}2
- 12. The smallest set a such A u{1,2} ={1,2,3,5.9} is________________________________
A) None of these
B) { 2, 3, 5}
C) {3, 5, 9 }
D) {1, 2, 5, 9}
- 13. Let R = {(x, y) : x , y belong to N, 2x+y =41}. The range is of the relation R is
( See the figure)
A) C
B) B
C) D
D) A
- 14. Two finite sets have m and n elements. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. The values of m and n are____
A) 4,6
B) 3,6
C) 3,3
D) 4,7
- 15. The number of Proper subsets of the set {1,2, 3} is:....
A) 6
B) 7
C) 8
D) 5
- 16. If the number of elements in a set S are 5. Then the number of elements of the Power set P (S) are___
A) 6
B) 16
C) 5
D) 32
- 17. Every set is a____itself.
A) Proper subset
B) None of the above
C) Compliment
D) Improper subset
- 18. If x not equal to 1, and f(X) = (x +1)/(x-1) is a real function, then
f(f(f(2)))is____
A) 1
B) 4
C) 3
D) 2
A) x<0, Y >0
B) x <0, y>0
C) x >0, Y >0
D) x <0, y<0
- 20. If A u B = A u C and A n B = A n C, then....
A) B = C only when A 1 C
B) B = C
C) B = C only when A ? B
D) None of these
- 21. A set is known by its____
A) Members
B) Elements
C) Letters
D) Values
- 22. If the set has p elements, B has q elements then number of elements is A X B is____
A) pq
B) p + q +1
C) p + q
D) p2
- 23. Which from the following set has closure property w.r.t multiplication?
A) {1, -1}
B) {-1. -1}
C) {0,-1}
D) {-1}
- 24. Consider the set A of all determinants of order 3 with entries 0 or 1 only. Let B be the subset of containing all determinants with value 1. Let C be the subsets of containing all determinants with value -1 the
A) C is empty
B) B has twice as many elements as C
C) A = B u C
D) B has many elements as C
- 25. If x, y and z are the cube roots of unity, then what is the value of xy+yz+zx
A) 0
B) 3
C) 1
D) 2
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