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Day 304: NDA Maths

5 questions (7 parts). Try each one first, then open its answer.

  1. Question 1

    Sequence & Series. Asked once: NDA 1 2023

    16
    The first and the second terms of an AP are 52\frac{5}{2} and 2312\frac{23}{12} respectively. If nthn^{\text{th}} term is the largest negative term, what is the value of nn?

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  2. Question 2 (case study, 3 parts)

    Statistics. Asked once: NDA 1 2022

    Consider the following data for the next three (03) items that follow: The marks obtained by 51 students in a class are in AP with its first term 4 and common difference 3.
    109
    What is the mean of the marks?

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    110
    What is the median of the marks?

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    111
    What is the sum of the deviations measured from the median?

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  3. Question 3

    Trigonometric Equations. Asked once: NDA 1 2021

    6
    The number of integer values of kk, for which the equation 2sin⁡x=2k+12\sin x = 2k+1 has a solution, is

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  4. Question 4

    Trigonometric Identities. Asked once: NDA 1 2024

    49
    What is the value of tan⁡65°+2tan⁡45°−2tan⁡40°−tan⁡25°\tan65°+2\tan45°-2\tan40°-\tan25°?

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  5. Question 5

    Vectors. Asked once: NDA 1 2024

    70
    Let a⃗\vec{a} and b⃗\vec{b} be two vectors of magnitude 4 inclined at an angle π3\dfrac{\pi}{3}, then what is the angle between a⃗\vec{a} and a⃗−b⃗\vec{a}-\vec{b}?

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