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Day 5: NDA Maths

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

  1. Question 1

    Probability. This type asked 5 times: NDA 2 2017, NDA 2 2021, NDA 1 2025, NDA 2 2025, NDA 2 2026. This one: NDA 2 2026

    109
    In a class, the probability of passing students in Mathematics is 0.7 and the probability of passing both Mathematics and Statistics is 0.5. What is the probability that a student passes Statistics given that the student passed Mathematics?

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  2. Question 2 (case study, 3 parts)

    Probability. This type asked 5 times: NDA 2 2018, NDA 2 2023, NDA 2 2024, NDA 1 2026, NDA 2 2026. This one: NDA 2 2026

    For the next three (03) items that follow : Let AA, BB, CC and DD be mutually exclusive and exhaustive events such that P(A)6=P(B)3=P(C)4=P(D)2\frac{P(A)}{6} = \frac{P(B)}{3} = \frac{P(C)}{4} = \frac{P(D)}{2}
    115
    What is P(A)+2P(B)3P(C)+P(D)\frac{P(A) + 2P(B)}{3P(C) + P(D)} equal to?

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    116
    If GG is the geometric mean of P(A)P(A), P(B)P(B), P(C)P(C) and P(D)P(D), then what is GG equal to?

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    117
    If HH is the harmonic mean of P(A)P(A), P(B)P(B), P(C)P(C) and P(D)P(D), then what is HH equal to?

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  3. Question 3

    Sequence & Series. This type asked 5 times: NDA 2 2021, NDA 1 2022, NDA 2 2023, NDA 1 2024, NDA 2 2026. This one: NDA 2 2026

    31
    If 1b−a+1b−c=2b\frac{1}{b - a} + \frac{1}{b - c} = \frac{2}{b}, then aa, bb and cc are in

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  4. Question 4

    Trigonometric Equations. This type asked 5 times: NDA 2 2022, NDA 1 2024, NDA 2 2024, NDA 2 2025, NDA 2 2026. This one: NDA 2 2026

    12
    How many values of θ\theta satisfy the equation tan⁡2θ+cot⁡2θ=2\tan^2 \theta + \cot^2 \theta = 2, where 0∘<θ<360∘0^\circ < \theta < 360^\circ?

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  5. Question 5 (case study, 2 parts)

    Applications of Integration. This type asked 5 times: NDA 1 2018, NDA 2 2019, NDA 1 2020, NDA 1 2022, NDA 1 2026. This one: NDA 1 2026

    For the next two (02) items that follow: Consider the curves y=x^2 and y=2|x|.
    89
    What is the number of points of intersection of the curves?

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    90
    What is the area bounded by the curves, the lines x=0 and x=1?

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