PYQ Vault

Day 308: NDA Maths

5 questions (7 parts). Try each one first, then open its answer.

  1. Question 1 (case study, 3 parts)

    Permutation & Combination. Asked once: NDA 2 2022

    Consider the following for the next three (03) items that follow: Consider the word 'QUESTION':
    25
    How many 4-letter words each of two vowels and two consonants with or without meaning, can be formed?

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    26
    How many 8-letter words with or without meaning, can be formed such that consonants and vowels occupy alternate positions?

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    27
    How many 8-letter words with or without meaning, can be formed so that all consonants are together?

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  2. Question 2

    Probability. Asked once: NDA 2 2025

    107
    A person XX speaks the truth 4 out of 5 times and person YY speaks the truth 5 out of 6 times. What is the probability that they will contradict each other in stating the fact?

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  3. Question 3

    Properties of Triangle. Asked once: NDA 2 2022

    12
    What is the diameter of a circle inscribed in a regular polygon of 12 sides, each of length 1 cm?

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  4. Question 4

    Quadratic Equations. Asked once: NDA 1 2024

    8
    If −2-\sqrt{2} and 3\sqrt{3} are roots of the equation a0+a1x+a2x2+a3x3+x4=0a_0+a_1 x+a_2 x^2+a_3 x^3+x^4=0 where a0,a1,a2,a3a_0,a_1,a_2,a_3 are integers, then which one of the following is correct?

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  5. Question 5

    Sequence & Series. Asked once: NDA 2 2022

    Consider the following statements: 1. 2 + 4 + 6 + … + 2n = n² + n 2. The expression n² + n + 41 always gives a prime number for every natural number n
    10
    Which of the above statements is/are correct?

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