PYQ Vault
EbooksTutor

Day 100: NDA Maths

5 questions (8 parts). Try each one first, then open its answer.

  1. Question 1

    Properties of Triangle. Asked once: NDA 1 2026 (same type asked 4 times)

    36
    The angles A, B and C of a triangle are in the ratio 1:1:4. If the longest side of the triangle is 3 units, then what is the perimeter of the triangle?

    Tap an option to check your answer.

  2. Question 2 (case study, 2 parts)

    Statistics. Asked once: NDA 2 2022 (same type asked 4 times)

    Consider the following for the next two (02) items that follow: The mean and standard deviation (SD) of marks obtained by 50 students of a class in 4 subjects are given below:
    SubjectMathematicsPhysicsChemistryBiology
    Mean Marks40283836
    SD15121416
    116
    Which one of the following subjects shows highest variability of marks?

    Tap an option to check your answer.

    117
    What is the coefficient of variation of marks in Mathematics?

    Tap an option to check your answer.

  3. Question 3 (case study, 2 parts)

    Definite Integration. Asked once: NDA 1 2026 (same type asked 4 times)

    For the next two (02) items that follow: Let ∫0π/2asin⁡x+bcos⁡x(a+b)(sin⁡x+cos⁡x)dx=k\int_0^{\pi/2}\dfrac{a\sin x+b\cos x}{(a+b)(\sin x+\cos x)}dx=k.
    83
    What is the value of k?

    Tap an option to check your answer.

    84
    What is ∫0π/2acos⁡x+bsin⁡xsin⁡x+cos⁡xdx\int_0^{\pi/2}\dfrac{a\cos x+b\sin x}{\sin x+\cos x}dx equal to?

    Tap an option to check your answer.

  4. Question 4 (case study, 2 parts)

    Functions. Asked once: NDA 1 2024 (same type asked 4 times)

    Let 3f(x)+f ⁣(1x)=1x+13f(x)+f\!\left(\dfrac{1}{x}\right)=\dfrac{1}{x}+1.
    99
    What is f(x)f(x) equal to?

    Tap an option to check your answer.

    100
    What is 8∫12f(x) dx8\displaystyle\int_{1}^{2}f(x)\,dx equal to?

    Tap an option to check your answer.

  5. Question 5

    Height & Distance. Asked once: NDA 2 2018 (same type asked 4 times)

    39
    A balloon is directly above one end of a bridge. The angle of depression of the other end of the bridge from the balloon is 48°. If the height of the balloon above the bridge is 122 m, then what is the length of the bridge?

    Tap an option to check your answer.