PYQ Vault

Day 125: NDA Maths

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

  1. Question 1

    Statistics. Asked once: NDA 2 2019 (same type asked 3 times)

    119
    A car travels first 60 km at a speed of 3vv km/hr and travels next 60 km at 2vv km/hr. What is the average speed of the car ?

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  2. Question 2

    Vectors. Asked once: NDA 1 2021 (same type asked 3 times)

    71
    A vector r⃗=ai^+bj^\vec{r} = a\hat{i} + b\hat{j} is equally inclined to both xx and yy axes. If the magnitude of the vector is 2 units, then what are the values of aa and bb respectively?

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  3. Question 3

    Conics. Asked once: NDA 1 2019 (same type asked 3 times)

    54
    The equation 2x2−3y2−6=02x^2-3y^2-6=0 represents

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  4. Question 4 (case study, 3 parts)

    Statistics. Asked once: NDA 1 2022 (same type asked 3 times)

    Consider the following for the next three (03) items that follow: The algebraic sum of the deviations of a set of values x1,x2,x3,…,xnx_1, x_2, x_3, \ldots, x_n measured from 100 is −20-20 and the algebraic sum of the deviations of the same set of values measured from 92 is 140.
    106
    What is the mean of the values?

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    107
    What is the algebraic sum of the deviations of the same set of values measured from 99?

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    108
    If the algebraic sum of the deviations of the same set of values measured from yy is 180, then what is the value of yy?

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  5. Question 5

    Statistics. Asked once: NDA 1 2022 (same type asked 3 times)

    103
    The variance of five positive observations is 3.6. If four of the observations are 2, 2, 4, 5 then what is the remaining observation?

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