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Day 255: NDA Maths

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

  1. Question 1

    Permutation & Combination. Asked once: NDA 1 2026

    10
    If n= mC2n=\,^mC_2 then what is nC2^nC_2 equal to?

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  2. Question 2

    Probability. Asked once: NDA 2 2026

    114
    The events AA and BB are independent among three events AA, BB and DD. If P(A∩B∩D)=0.04P(A \cap B \cap D) = 0.04, P(D∣A∩B)=0.25P(D \mid A \cap B) = 0.25 and P(B)=4P(A)P(B) = 4P(A), then what is the value of P(A∪B)P(A \cup B)?

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  3. Question 3 (case study, 2 parts)

    Properties of Triangle. Asked once: NDA 1 2025

    In a triangle ABC, two sides BC and CA are in the ratio 2:1 and their opposite corresponding angles are in the ratio 3:1.
    46
    One of the angles of the triangle is

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    47
    Consider the following statements: (I). The triangle is right-angled. (II). One of the sides of the triangle is 3\sqrt{3} times the other. (III). The angles A, C and B of the triangle are in AP. Which of the statements given above is/are correct?

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  4. Question 4

    Quadratic Equations. Asked once: NDA 2 2026

    27
    Let α\alpha and β\beta be the roots of the equation x2−p(x+1)−q=0x^2 - p(x + 1) - q = 0 What is α2+2α+1α2+2α+q+β2+2β+1β2+2β+q\frac{\alpha^2 + 2\alpha + 1}{\alpha^2 + 2\alpha + q} + \frac{\beta^2 + 2\beta + 1}{\beta^2 + 2\beta + q} equal to?

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  5. Question 5

    Sequence & Series. Asked once: NDA 1 2026

    2
    If p, g1g_1, g2g_2 and q are in GP and m is the arithmetic mean of p and q, then g12g2+g22g1\dfrac{g_1^2}{g_2}+\dfrac{g_2^2}{g_1} is equal to

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