- 1. How many elements are there in the complement of Set A
A) 0 B) 1 C) All the Elements of A D) None of these
A) Infinite Set B) Universal 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) 8 B) None of these C) 4 D) 2
- 4. Order of the power set P(A) of a set of order n is equal to___
A) 2n B) 2n C) n D) n2
- 5. Which of the following two sets are equal ?
A) A= (1,2) and B = (1,2,3) B) A=(1,2,3) and B =(2,1,3) C) A= (1,2) and B =(1) 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) None of these B) q C) Q' D) P
- 7. The Cardinality of the power ser of
{x :xEN, x not greater than 10} is
A) 2048 B) 1024 C) 1023 D) None of these
- 8. Write X= {1,4,9,16,25,...) in set builder form.
A) X = { x = x is a set of square numbers} B) X = {x : x is a set of Whole numbers} C) X = {x : x is a set of Natural Numbers} D) X = {x : x is a set of Prime Numbers}
- 9. If A, B and C are any three sets, then
A x ( B u C) is equal to...
A) ( A x B ) n (Ax C) B) ( A u B) x ( A u C) C) None of these D) ( A x B) u ( A x C)
- 10. The range of the function f(x) = 3x -2, is......
A) (- infinity, 0) B) (0, - infinity) C) R -{3} D) ( - infinity, infinity)
- 11. If f(x) = lf f [(1+x) /(1-x), then f(2x)/(1+x2) is equal to___
A) {f (x)}2 B) 2 f(x) C) {f (x)}3 D) 3f(x)
- 12. The smallest set a such A u{1,2} ={1,2,3,5.9} is________________________________
A) { 2, 3, 5} B) {3, 5, 9 } C) None of these 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) A C) B D) D
- 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) 3,6 B) 3,3 C) 4,7 D) 4,6
- 15. The number of Proper subsets of the set {1,2, 3} is:....
A) 5 B) 6 C) 7 D) 8
- 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) 16 B) 6 C) 32 D) 5
- 17. Every set is a____itself.
A) Proper subset B) Improper subset C) Compliment D) None of the above
- 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) 4 B) 3 C) 2 D) 1
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 ? B B) B = C C) B = C only when A 1 C D) None of these
- 21. A set is known by its____
A) Members B) Letters C) Values D) Elements
- 22. If the set has p elements, B has q elements then number of elements is A X B is____
A) pq B) p2 C) p + q D) p + q +1
- 23. Which from the following set has closure property w.r.t multiplication?
A) {-1} B) {-1. -1} C) {1, -1} D) {0,-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) A = B u C C) B has many elements as C D) B has twice as 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) 1 B) 0 C) 2 D) 3
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