1
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If we define a relation R on the set N $$\times$$ N as (a, b) R (c, d) $$ \Leftrightarrow $$ a + d = b + c for all (a, b), (c, d) $$\in$$N $$\times$$ N, then the relation is
A
symmetric only
B
symmetric and transitive only
C
equivalence relation
D
reflexive only
2
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
3
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
4
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)
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