NDA Mathematics 14 November 2021 | Sets, Relations and Functions Question 69 | Mathematics

Consider three sets X, Y and Z having 6, 5 and 4 elements respectively. All these 15 elements are distinct. Let S = (X - Y) ∪ Z. How many proper subsets does S have?

255

256

1023

1024

NDA Mathematics 14 November 2021

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following statements in respect of relations and functions:

1. All relations are functions but all functions are not relations.

2. A relation from A to B is a subset of Cartesian product A × B.

3. A relation in A is a subset of Cartesian product A × A.

Which of the above statements are correct?

1 and 2 only

2 and 3 only

1 and 3 only

1, 2 and 3

NDA Mathematics 14 November 2021

MCQ (Single Correct Answer)

+2.5

-0.83

Suppose set A consists of first 250 natural numbers that are multiple of 3 and set B consists of first 200 even natural numbers. How many elements does A ∪ B have?

342

364

384

400

NDA Mathematics 18 April 2021

MCQ (Single Correct Answer)

+2.5

-0.83

If f(x + 1) = x² - 3x + 2, then what is f(x) equal to?

x² - 5x + 4

x² - 5x + 6

x² + 3x + 3

x² - 3x + 1

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