PYQ Vault

Day 63: NDA Maths

5 questions (10 parts). Try each one first, then open its answer.

  1. Question 1

    Matrices & Determinants. This type asked 2 times: NDA 2 2022, NDA 1 2025. This one: NDA 1 2025

    8
    If Δ=∣abcdefghi∣\Delta = \begin{vmatrix} a & b & c \\ d & e & f \\ g & h & i \end{vmatrix} and A,B,C,D,GA, B, C, D, G are the cofactors of the elements a,b,c,d,ga, b, c, d, g respectively, then what is bB+cC−dD−gGbB + cC - dD - gG equal to?

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  2. Question 2

    Permutation & Combination. This type asked 2 times: NDA 2 2019, NDA 1 2025. This one: NDA 1 2025

    17
    How many sides are there in a polygon which has 20 diagonals?

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  3. Question 3

    Permutation & Combination. This type asked 2 times: NDA 2 2024, NDA 1 2025. This one: NDA 1 2025

    15
    How many 7-letter words (with or without meaning) can be constructed using all the letters of the word CAPITAL so that all consonants come together in each word?

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  4. Question 4 (case study, 3 parts)

    Properties of Triangle. This type asked 2 times: NDA 1 2021, NDA 1 2025. This one: NDA 1 2025

    The sides of a triangle ABC are AB = 3 cm, BC = 5 cm and CA = 7 cm.
    36
    Consider the following statements: (I). The triangle is obtuse-angled triangle. (II). The sum of acute angles of the triangle is also acute. Which of the statements given above is/are correct?

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    37
    What is ∠B\angle B equal to?

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    38
    What is the area of the triangle?

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  5. Question 5 (case study, 4 parts)

    Statistics. This type asked 2 times: NDA 2 2021, NDA 1 2025. This one: NDA 1 2025

    The frequency distribution of height of students of a class is given below: Height (cm): 160–162, 162–164, 164–166, 166–168 Number of Students: 12, 15, 24, 13
    101
    What is the total number of students whose height is less than or equal to 165 cm?

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    102
    What is the median height of the class?

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    103
    The height which occurs most frequently in the class is

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    104
    The most appropriate graphical representation of the given frequency distribution is

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