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Day 213: NDA Maths

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

  1. Question 1

    Sequence & Series. Asked once: NDA 1 2023 (same type asked 5 times)

    15
    If 21c2^{\frac{1}{c}}, 2bac2^{\frac{b}{ac}}, 21a2^{\frac{1}{a}} are in GP, then which one of the following is correct?

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  2. Question 2

    3D Geometry. Asked once: NDA 1 2021 (same type asked 5 times)

    67
    If ll, mm, nn are the direction cosines of the line x−1=2(y+3)=1−zx-1=2(y+3)=1-z, then what is l4+m4+n4l^4+m^4+n^4 equal to?

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  3. Question 3

    Binomial Distribution. Asked once: NDA 2 2022 (same type asked 5 times)

    110
    The probability that a person hits a target is 0.5. What is the probability of at least one hit in 4 shots?

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  4. Question 4

    Statistics. Asked once: NDA 2 2021 (same type asked 5 times)

    116
    If ∑i=110xi=110\sum_{i=1}^{10}x_{i}=110 and ∑i=110xi2=1540\sum_{i=1}^{10}x_{i}^{2}=1540, then what is the variance?

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  5. Question 5

    Complex Numbers. Asked once: NDA 1 2021 (same type asked 5 times)

    41
    What is the modulus of the complex number i2n+1(−i)2n−1i^{2n+1}(-i)^{2n-1}, where n∈Nn\in N and i=−1i=\sqrt{-1}?

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