NDA 2019 Paper 2 | Sets, Relations and Functions Question 27 | Mathematics

In a school, 50% students play cricket and 40% play football. If 10% of students play both these games, then what per cent of students play neither cricket not football?

10%

15%

20%

25%

NDA 2019 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

If a set A contains 3 elements and another set B contains 6 elements, then what is the minimum number of elements that (A $$\cup$$ B) can have?

NDA 2019 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

If A, B and C are subsets of a given set, then which one of the following relations is not correct?

A $$\cup$$ (A $$\cap$$ B) = A $$\cup$$ B

A $$\cap$$ (A $$\cup$$ B) = A

(A $$\cap$$ B) $$\cup$$ C = (A $$\cup$$ C) $$\cap$$ (B $$\cup$$ C)

(A $$\cup$$ B) $$\cap$$ C = (A $$\cap$$ C) $$\cup$$ (B $$\cap$$ C)

NDA 2019 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

Suppose X = {1, 2, 3, 4} and R is a relation on X. If R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 1), (2, 3), (3, 2)}, then which one of the following is correct?

R is reflexive and symmetric, but not transitive

R is symmetric and transitive, but not reflexive

R is reflexive and transitive, but not symmetric

R is neither reflexive nor transitive, but symmetric.

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