PYQ Vault

Day 299: NDA Maths

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

  1. Question 1

    Sequence & Series. Asked once: NDA 1 2023

    26
    pp, qq, rr and ss are in AP such that p+s=8p+s=8 and qr=15qr=15. What is the difference between largest and smallest numbers?

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  2. Question 2

    Statistics. Asked once: NDA 1 2023

    116
    Let PP be the median, QQ be the mean and RR be the mode of observations x1,x2,x3,…xnx_1,x_2,x_3,\ldots x_n. Let S=∑i=1n(2xi−a)2S=\sum_{i=1}^{n}(2x_i-a)^2. SS takes minimum value, when aa is equal to

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  3. Question 3

    Trigonometric Equations. Asked once: NDA 2 2021

    32
    Let 4sin⁡2x=34\sin^{2}x=3, where 0≤x≤π0\le x\le\pi. What is tan⁡3x\tan 3x equal to?

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  4. Question 4

    Trigonometric Identities. Asked once: NDA 1 2024

    37
    What is sin⁡9°−cos⁡9°\sin9°-\cos9° equal to?

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  5. Question 5

    Vectors. Asked once: NDA 2 2024

    54
    Let ABCDEFABCDEF be a regular hexagon. If AD→=mBC→\overrightarrow{AD}=m\overrightarrow{BC} and CF→=nAB→\overrightarrow{CF}=n\overrightarrow{AB}, then what is mnmn equal to?

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