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Day 250: NDA Maths

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

  1. Question 1

    Sequence & Series. Asked once: NDA 2 2026

    33
    In a GP, the 3rd, 5th and 7th terms are xx, x2+2x^2 + 2 and x3+10x^3 + 10 respectively, where x>1x > 1. What is the 8th term?

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  2. Question 2

    Sets & Relations. Asked once: NDA 2 2025

    2
    If AA and BB are non-empty subsets of a set, and AcA^c and BcB^c represent their complements, then which of the following is/are correct? I. A−B=Bc−AcA - B = B^c - A^c II. A−Bc=Ac−BA - B^c = A^c - B. Select the answer using the code given below.

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  3. Question 3

    Statistics. Asked once: NDA 2 2025

    117
    The frequency distribution of the marks obtained by students in a Science examination is given below: Marks: 5–15, 15–25, 25–35, 35–45; Number of students: 20, 30, 30, 20. What is the arithmetic mean?

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  4. Question 4

    Trigonometric Equations. Asked once: NDA 2 2025

    47
    How many values of θ\theta, where −π<θ<π-\pi<\theta<\pi, satisfy both the equations cot⁡θ=−3\cot\theta=-\sqrt{3} and csc⁡θ=−2\csc\theta=-2 simultaneously?

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  5. Question 5

    Trigonometric Identities. Asked once: NDA 1 2026

    32
    If cos⁡α+cos⁡β=0=sin⁡α+sin⁡β\cos\alpha+\cos\beta=0=\sin\alpha+\sin\beta, α≠β\alpha\neq\beta, then what is a value of cos⁡2α+cos⁡2β+2cos⁡(α+β)\cos2\alpha+\cos2\beta+2\cos(\alpha+\beta)?

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