1
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
2
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)
3
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
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 exactly only one game?
A
196
B
228
C
254
D
268
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