NDA 2016 Paper 1 | Sets, Relations and Functions Question 9 | Mathematics

Suppose, there is a relation * between the positive numbers x and y given by x * y if and only if x $$\le$$ y². Then, which one of the following is correct?

* is reflexive but not transitive and symmetric

* is transitive but not reflexive and symmetric

* is symmetric and reflexive but not transitive

* is symmetric but not reflexive and transitive

NDA 2016 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

Let R be a relation on the set N of natural numbers defined by 'nRm $$\Leftrightarrow$$ n is a factor of m'. Then, which one of the following is correct?

R is reflexive, symmetric but not transitive.

R is transitive, symmetric but not reflexive

R is reflexive, transitive but not symmetric

R is an equivalence relation

NDA 2017 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

If E is the universal set and A = B $$\cup$$ C, then the set E $$-$$ (E $$-$$ (E $$-$$ (E $$-$$ (E $$-$$A)))) is same as the set

B' $$\cup$$ C'

B $$\cup$$ C

B' $$\cap$$ C'

B $$\cap$$ C

NDA 2017 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

If A = {x : x is a multiple of 2}, B = {x : x is a multiple of 5} and C = {x : x is a multiple of 10}, then A $$\cap$$ (B $$\cap$$ C) is equal to

{x : x is a multiple of 100}

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