PYQ Vault

Day 17: NDA Maths

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

  1. Question 1

    Statistics. This type asked 4 times: NDA 2 2021, NDA 1 2022, NDA 1 2024, NDA 2 2024. This one: NDA 2 2024

    110
    What is the mean deviation of the first 10 natural numbers?

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  2. Question 2

    Statistics. This type asked 4 times: NDA 1 2017, NDA 1 2020, NDA 1 2021, NDA 2 2024. This one: NDA 2 2024

    112
    The mean of the series x1,x2,…,xnx_1,x_2,\ldots,x_n is xˉ\bar{x}. If xnx_n is replaced by kk, then what is the new mean?

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  3. Question 3

    3D Geometry. This type asked 4 times: NDA 2 2017, NDA 2 2018, NDA 1 2020, NDA 1 2024. This one: NDA 1 2024

    56
    If pp is the perpendicular distance from the origin to the plane passing through (1,0,0),(0,1,0)(1,0,0),(0,1,0) and (0,0,1)(0,0,1), then what is 3p23p^2 equal to?

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  4. Question 4

    Lines. This type asked 4 times: NDA 1 2018, NDA 2 2018, NDA 1 2020, NDA 1 2024. This one: NDA 1 2024

    61
    If two sides of a square lie on the lines 2x+y−3=02x+y-3=0 and 4x+2y+5=04x+2y+5=0, then what is the area of the square in square units?

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  5. Question 5

    Matrices & Determinants. This type asked 4 times: NDA 1 2020, NDA 1 2021, NDA 1 2022, NDA 1 2024. This one: NDA 1 2024

    38
    If in a triangle ABCABC, sin⁡3A+sin⁡3B+sin⁡3C=3sin⁡Asin⁡Bsin⁡C\sin^3A+\sin^3B+\sin^3C=3\sin A\sin B\sin C, then what is the value of the determinant ∣abcbcacab∣\begin{vmatrix}a&b&c\\b&c&a\\c&a&b\end{vmatrix}?

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