Indian army has published the notification for SSC Tech 56 men and SSC Tech 27 women for the course commencing at OTA Chennai from April 2021
Let, S = {0, 1, 2, 3}. Then the total number of subsets of S is
20
16
64
32
If A is a non-empty set such that the power set of A is P(A) = {ϕ, {1}, {2}, {3}, {1, 2}, {2, 3}, {1, 3}, {1, 2, 3}} then find the set A ?
{1}
{1, 2}
{1, 2, 3}
None of these
If A = {1, 2, 3, 4} and B = {x ∈ N : x ≤ 5} then which of the following is true
A ⊂ B
A = B
B ⊂ A
If A = {2, 4, 6, 8, 10}, B = {4, 8, 12, 16} and U = {2, 4, 6, 8, 10, 12, 14, 16, 18} where U is the universal set for A and B. Find A' ∩ B'?
{12, 14, 18}
{14, 18}
{10, 12, 14, 18}
If X and Y are two sets such that X ∪ Y has 70 elements, X has 38 elements and Y has 42 elements, how many elements does X ∩ Y have?
22
10
15
If A = {x: x ∈ N, x ≤ 5}, B = {x: x is prime, x < 6} and C = {x: x ∈ N, x is odd and x < 9}. Find (A ∪ B) ∩ (A ∪ C) ?
{1, 3, 5, 7, 9 }
{1, 2, 3, 4, 5}
{ 2, 3, 5, 7 }
{1, 2, 3, 4, 5, 6, 7, 8}
Consider the following for any three non-empty sets A, B, and C
1. A – (B ∪ C) = (A - B) ∪ (A - C)
2. A – B = A – (A ∩ B)
3. A = (A ∩ B) ∪ (A - B)
Which of the above is/are correct?
only 1
2 and 3
1 and 2
1 and 3
A = {1, 2, 3} and B = {3, 8}, then (A ⋃ B) × (A ⋂ B) is
{(3, 1), (3, 2), (3, 3), (3, 8)}
{(1, 3), (2, 3), (3, 3), (8, 3)}
{(1, 2), (2, 2), (3, 3), (8, 8)}
{(8, 3), (8, 2), (8, 1), (8, 8)}
In an investigation of 1003 families of Agartala, it is found that 63 families have neither mobile nor a laptop, 794 families have a mobile and 187 a laptop. The number of families in that group having both a mobile and a laptop is
41
40
22
Which of the following statements is/are true:
A ∪ ϕ = A
A ∪ A = A
A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)
A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)
1 and 2
1, 2 and 3
1, 2, 3 and 4
