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Day 193: NDA Maths

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

  1. Question 1

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

    60
    If the image of the point (−4,2)(-4, 2) by a line mirror is (4,−2)(4, -2), then what is the equation of the line mirror?

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  2. Question 2

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

    27
    What is the number of triangles that can be formed by choosing vertices from 12 points, 7 of which lie on the same line?

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  3. Question 3

    Probability. Asked once: NDA 1 2020 (same type asked 3 times)

    114
    A dealer has a stock of 15 gold coins out of which 6 are counterfeits. A person randomly picks 4 of the 15 gold coins. What is the probability that all the coins picked will be counterfeits?

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  4. Question 4

    Sets & Relations. Asked once: NDA 1 2021 (same type asked 3 times)

    37
    Let RR be a relation defined as xRyxRy if and only if 2x+3y=202x + 3y = 20, where x,y∈Nx, y \in N. How many elements of the form (x,y)(x, y) are there in RR?

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  5. Question 5

    Statistics. Asked once: NDA 2 2021 (same type asked 3 times)

    114
    If the harmonic mean of 60 and xx is 48, then what is the value of xx?

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