NDA 2018 Paper 2 | Sets, Relations and Functions Question 19 | Mathematics

Let A = {x $$\in$$ R :- 1 $$\le$$ x $$\le$$ 1}, B = {y$$\in$$R :- 1 $$\le$$ y $$\le$$ 1} and S be the subset of A $$\times$$ B, defined by S = {(x, y) $$\in$$ A $$\times$$ B : x² + y² = 1}. Which one of the following is correct?

S is a one-one function from A into B

S is a many-one function from A into B

S is a bijective mapping from A into B

S is not a function

NDA 2018 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

Let A and B be subsets of X and C = (A $$\cap$$ B') $$\cap$$ (A' $$\cap$$ B), where A' and B' are complements of A and B respectively in X. What is C equal to?

(A $$\cup$$ B') $$-$$ (A $$\cap$$ B')

(A' $$\cup$$ B) $$-$$ (A' $$\cap$$ B)

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

(A' $$\cup$$ B') $$-$$ (A' $$\cap$$ B')

NDA 2018 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

In a class, 54 students are good in Hindi only, 63 students are good in Mathematics only and 41 students are good in English only. There are 18 students who are good in both Hindi and Mathematics. 10 students are good in all three subjects.

What is the number of students who are good in either Hindi or Mathematics but not English?

107

125

130

NDA 2018 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

What is the number of students who are good in Hindi and Mathematics but not in English?

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