1
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Let S be the set of all persons living in Delhi. We say that x, y in S are related if they were born in Delhi on the same day. Which one of the following is correct?
A
The relation is an equivalent relation
B
The relation is not reflexive but it is symmetric and transitive
C
The relation is not symmetric but it is reflexive and transitive
D
The relation is not transitive but it is reflexive and symmetric
2
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following in respect of sets A and B.

1. (A $$-$$ B) $$\cup$$ B = A

2. (A $$-$$ B) $$\cup$$ A = A

3. (A $$-$$ B) $$\cap$$ B = $$\phi$$

4. A $$ \subseteq $$ B $$\Rightarrow$$ A $$\cup$$ B = B

Which of the above are correct?
A
1, 2 and 3
B
2, 3 and 4
C
1, 3 and 4
D
1, 2 and 4
3
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If A, B and C are subsets of a universal set, then which one the following is not correct?

where, A' is the complement of A
A
A $$\cup$$ (B $$\cap$$ C) = (A $$\cup$$ B) $$\cap$$ (A $$\cup$$ C)
B
A' $$\cup$$ (A $$\cup$$ B) = (B' $$\cap$$ A)' $$\cup$$ A
C
A' $$\cup$$ (B $$\cup$$ C) = (C' $$\cap$$ B)' $$\cup$$ A'
D
(A $$\cap$$ B) $$\cup$$ C = (A $$\cup$$ C) $$\cap$$ (B $$\cup$$ C)
4
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
A survey was conducted among 300 students. It was found that 125 students like to play cricket, 145 students like to play football and 90 students like to play tennis. 32 students like to play exactly two games out of the three games.
How many students like to play all the three games?
A
14
B
21
C
28
D
35
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