1. Date:
Mathema ENTRY TEST 2012
01-05-2012
tics – I WEEKLY TEST No. 1 Time: 24
1. If A has n elements, then the number of all subsets if A is ________.
(a) n 2 (b) 2n
(c) 2n (d) 2n 2
2. If U is universal set A and B are subsets of U such that A U B = U , then A and
B are called _______.
(a) disjoint sets (b) cells
(c) overlapping (d) exhaustive sets
3. If A and B are two non-empty sets such that A I B ≠ φ then A and B are
called ______.
(a) disjoint sets (b) exhaustive sets
(c) overlapping (d) cells
4. De-Morgan’s Laws state that
(a) ( A U B ) ′ = A′ I B′ (b) ( A I B ) ′ = A′ I B′
(c) both a & b (d) none of these
5. If A, B and C are any non-empty sets, then the property
A U ( B U C ) = ( A U B ) U C is called _______.
(a) commutative (b) distributive
(d) closure (d) associative
6. If A and B are any non-empty sets, then property ( A U B ) = B U A is called ___.
(a) associative (b) commutative
(c) closure (d) addition
7. Intersection of two sets A and B is defined as _______.
(a) { x / x ∈ A ∨ x ∈ B} (b) { x / x ∈ A ∧ x ∈ B}
(c) { x / x ∉ A ∧ x ∈ B} (d) { x / x ∈ A ∧ x ∉ B}
8. Union of two sets A and B is defined as _______.
(a) { x / x ∈ A ∨ x ∈ B} (b) { x / x ∈ A or x ∈ B}
(c) { x / x ∈ A and x ∈ B} (d) both a & b
9. Difference of two sets A and B is defined sets _______.
(a) { x / x ∈ A and x ∉ B} (b) { x / x ∈ A ∧ x ∉ B}
(c) { x / x ∉ A and x ∉ B} (d) both a & b
u−A
10. A= can be defined as ______.
(a) { x / x ∈ U but x ∉ B} (b) { x / x ∈ U ∧ x ∉ B}
(c) { x / x ∉ U but x ∈ A} (d) all of these
1 Govt. Degree College Kari Mori

2. Date:
Mathema ENTRY TEST 2012
01-05-2012
tics – I WEEKLY TEST No. 1 Time: 24
11. If U is universal set A and B are subsets of U, then universal sets is closed under
with respect to ______.
(a) intersection (b) union
(c) difference (d) all of these
12. If U is universal set A and B are subsets of U, then A I A′ = ??
(a) A (b) B
(c) φ (d) U
13. If U is universal set A and B are subsets of U, then A U A′ = ??
(a) A (b) φ
(c) B (d) U
14. The number which can be divided by 1 and itself is called ______.
(a) composite (b) prime
(c) whole (d) real
15. If 0 ( A ) = 3, then how many subsets of A = _______.
(a) 16 (b) 8
(c) 12 (d) 2
16. Which of the following is null set?
(a) { x / x ∈ ¡ , ∧ x + 4 = 0} (b) { x / x ∈ ¡ , ∧ x − 9 = 0}
2
(c) { x / x ∈ ¥ , ∧ x − 1 = 0} (d) { x / x ∈ ¡ , ∧ x + 9 = 0}
2
17. The element divided by itself and having two factor is called _____.
(a) even number (b) odd number
(c) prime number (d) none of these
18. If A and B be two sets and B ⊆ U , then U is said to be _______.
(a) empty set (b) power set
(c) proper subset (d) universal set
19. If A ⊆ B = ________.
(a) A (b) B
(c) U (d) φ
20. How many possible subsets of the set { 0,1}
(a) 2 (b) 3
(c) 4 (d) 8
21. The _______ of two sets A and B is the set of all ordered pair ( a, b ) where
a ∈ A and b ∈ B
(a) Cartesian product (b) difference
(c) union (d) intersection
1 Govt. Degree College Kari Mori

3. Date:
Mathema ENTRY TEST 2012
01-05-2012
tics – I WEEKLY TEST No. 1 Time: 24
22. A ⊂ φ = ______.
(a) A (b) B
(c) φ (d) none of these
23. A I U = _______.
(a) U (b) A
(c) A′ (d) φ
24. U ′ = _______.
(a) U (b) φ
(c) U ′ (d) A′
25. φ ′ = _______.
(a) U (b) φ
(c) U ′ (d) A′
1 Govt. Degree College Kari Mori