PYQ Vault

Day 334: NDA Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Permutation & Combination. Asked once: NDA 1 2021

    50
    How many 5-digit prime numbers can be formed using the digits 1, 2, 3, 4, 5 if the repetition of digits is not allowed?

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  2. Question 2

    Probability. Asked once: NDA 1 2024

    An unbiased coin is tossed nn times. The probability of getting at least one tail is pp, at least two tails is qq, and p−q=532p-q=\dfrac{5}{32}. With n=5n=5:
    116
    What is the value of p+qp+q?

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  3. Question 3

    Properties of Triangle. Asked once: NDA 2 2019

    67
    If angle CC of a triangle ABCABC is a right angle, then what is tan⁡A+tan⁡B\tan A + \tan B equal to ?

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  4. Question 4

    Quadratic Equations. Asked once: NDA 1 2021

    42
    If α\alpha and β\beta are the roots of the equation 4x2+2x−1=04x^2+2x-1=0, then which one of the following is correct?

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  5. Question 5

    Sequence & Series. Asked once: NDA 2 2019

    22
    What is the value of 2+12+12+12+⋯∞2 + \dfrac{1}{2 + \dfrac{1}{2 + \dfrac{1}{2 + \cdots \infty}}} ?

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