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Day 203: NDA Maths

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

  1. Question 1

    Quadratic Equations. Asked once: NDA 2 2017 (same type asked 3 times)

    13
    It is given that the roots of the equation x2−4x−log⁡3P=0x^2 - 4x - \log_3 P = 0 are real. For this, the minimum value of PP is

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  2. Question 2

    Logarithms. Asked once: NDA 2 2018 (same type asked 3 times)

    17
    What is the value of log⁡927+log⁡832\log_9 27 + \log_8 32?

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  3. Question 3

    Vectors. Asked once: NDA 1 2017 (same type asked 3 times)

    66
    If a⃗=i^−j^+k^\vec{a}=\hat{i}-\hat{j}+\hat{k}, b⃗=2i^+3j^+2k^\vec{b}=2\hat{i}+3\hat{j}+2\hat{k} and c⃗=i^+mj^+nk^\vec{c}=\hat{i}+m\hat{j}+n\hat{k} are three coplanar vectors and ∣c⃗∣=6|\vec{c}|=\sqrt{6}, then which one of the following is correct?

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  4. Question 4

    Permutation & Combination. Asked once: NDA 1 2018 (same type asked 3 times)

    119
    Committee of 3 from 4 men and 5 women. P(exactly 2 men)?

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  5. Question 5

    Sequence & Series. Asked once: NDA 2 2018 (same type asked 3 times)

    2
    If an infinite GP has the first term x and the sum 5, then which one of the following is correct?

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