PYQ Vault

Day 337: NDA Maths

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

  1. Question 1

    Probability. Asked once: NDA 1 2024

    An unbiased coin is tossed nn times. The probability of getting at least one tail is pp and the probability of at least two tails is qq and p−q=532p-q=\dfrac{5}{32}.
    115
    What is the value of nn?

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  2. Question 2

    Properties of Triangle. Asked once: NDA 1 2019

    42
    If cos⁡A=34\cos A = \dfrac{3}{4}, then what is the value of sin⁡A2sin⁡3A2\sin\dfrac{A}{2}\sin\dfrac{3A}{2}?

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  3. Question 3

    Quadratic Equations. Asked once: NDA 2 2019

    38
    Consider the following statements in respect of the quadratic equation 4(x−p)(x−q)−r2=04(x-p)(x-q) - r^{2} = 0, where pp, qq and rr are real numbers : 1. The roots are real. 2. The roots are equal if p=qp = q and r=0r = 0. Which of the above statements is/are correct ?

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  4. Question 4

    Sequence & Series. Asked once: NDA 2 2019

    15
    Let mm and nn (m<n)(m < n) be the roots of the equation x2−16x+39=0x^{2} - 16x + 39 = 0. If four terms pp, qq, rr and ss are inserted between mm and nn to form an AP, then what is the value of p+q+r+sp + q + r + s ?

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  5. Question 5

    Statistics. Asked once: NDA 1 2021

    101
    Consider the following measures of central tendency for a set of NN numbers: 1. Arithmetic mean. 2. Geometric mean. Which of the above uses/use all the data?

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