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Day 244: NDA Maths

5 questions (6 parts). Try each one first, then open its answer.

  1. Question 1

    Sequence & Series. Asked once: NDA 2 2026

    30
    If pp, qq and rr are in AP, then what is p3+3pr(p+r)+r3p^3 + 3pr(p + r) + r^3 equal to?

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  2. Question 2

    Sets & Relations. Asked once: NDA 2 2026

    100
    Let AA and BB be the sets having only 2 and 3 elements respectively. What is the total number of mappings from AA to BB?

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  3. Question 3

    Statistics. Asked once: NDA 2 2025

    120
    Consider the following statements: I. Mean and variance have the same unit of measurement. II. Mean deviation and standard deviation have the same unit of measurement. Which of the statements given above is/are correct?

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  4. Question 4 (case study, 2 parts)

    Trigonometric Equations. Asked once: NDA 2 2025

    For the following two (02) items: Let cos⁡(2x+3y)=12\cos(2x+3y)=\frac{1}{2} and cos⁡(3x+2y)=32\cos(3x+2y)=\frac{\sqrt{3}}{2}, where −π<(2x+3y)<π-\pi<(2x+3y)<\pi and −π<(3x+2y)<π-\pi<(3x+2y)<\pi.
    29
    How many values does (x+y)(x+y) have?

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    30
    How many values does (y−x)(y-x) have?

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  5. Question 5

    Trigonometric Identities. Asked once: NDA 1 2026

    26
    If 2sec⁡4β=tan⁡2α+cot⁡2α2\sec4\beta=\tan2\alpha+\cot2\alpha, then which one of the following is a possible value of (α+β)(\alpha+\beta)?

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