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Day 217: NDA Maths

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

  1. Question 1

    Permutation & Combination. Asked once: NDA 1 2018 (same type asked 4 times)

    7
    How many numbers between 100 and 1000 can be formed with digits 5, 6, 7, 8, 9 if repetition is not allowed?

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  2. Question 2

    Statistics. Asked once: NDA 1 2017 (same type asked 4 times)

    108
    If two regression lines between height (x)(x) and weight (y)(y) are 4y−15x+410=04y-15x+410=0 and 30x−2y−825=030x-2y-825=0, then what will be the correlation coefficient between height and weight?

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  3. Question 3

    Trigonometric Identities. Asked once: NDA 2 2019 (same type asked 4 times)

    41
    If cosec⁡θ=2921\cosec\theta = \dfrac{29}{21} where 0<θ<90°0 < \theta < 90°, then what is the value of 4sec⁡θ+4tan⁡θ4\sec\theta + 4\tan\theta ?

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  4. Question 4

    Inverse Trigonometry. Asked once: NDA 1 2018 (same type asked 4 times)

    36
    If sin⁡x=15\sin x = \frac{1}{\sqrt{5}}, sin⁡y=110\sin y = \frac{1}{\sqrt{10}}, where 0<x,y<π20 < x, y < \frac{\pi}{2}, then what is (x+y)(x+y) equal to?

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  5. Question 5

    Matrices & Determinants. Asked once: NDA 1 2017 (same type asked 4 times)

    31
    The equations x+2y+3z=1x+2y+3z=1, 2x+y+3z=22x+y+3z=2, 5x+5y+9z=45x+5y+9z=4

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