PYQ Vault
EbooksTutor

Day 153: NDA Maths

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

  1. Question 1

    Statistics. Asked once: NDA 1 2021 (same type asked 2 times)

    119
    If the mode of the scores 10, 12, 13, 15, 15, 13, 12, 10, xx is 15, then what is the value of xx?

    Tap an option to check your answer.

  2. Question 2

    Trigonometric Identities. Asked once: NDA 2 2018 (same type asked 2 times)

    104
    If sin⁡β\sin\beta is the harmonic mean of sin⁡α\sin\alpha and cos⁡α\cos\alpha, and sin⁡θ\sin\theta is the arithmetic mean of sin⁡α\sin\alpha and cos⁡α\cos\alpha, then which of the following is/are correct? 1. 2sin⁡(α+π4)sin⁡β=sin⁡2α\sqrt{2}\sin\left(\alpha+\frac{\pi}{4}\right)\sin\beta=\sin 2\alpha 2. 2sin⁡θ=cos⁡(α−π4)\sqrt{2}\sin\theta=\cos\left(\alpha-\frac{\pi}{4}\right) Select the correct answer using the code given below:

    Tap an option to check your answer.

  3. Question 3

    Binomial Theorem. Asked once: NDA 1 2018 (same type asked 2 times)

    10
    If the coefficients of ama^m and ana^n in the expansion of (1+a)m+n(1+a)^{m+n} are α\alpha and β\beta, then which one is correct?

    Tap an option to check your answer.

  4. Question 4

    Binomial Theorem. Asked once: NDA 1 2020 (same type asked 2 times)

    3
    If (1+2x−x2)6=a0+a1x+a2x2+…+a12x12(1+2x-x^2)^6 = a_0 + a_1x + a_2x^2 + \ldots + a_{12}x^{12}, then what is a0−a1+a2−a3+a4−…+a12a_0 - a_1 + a_2 - a_3 + a_4 - \ldots + a_{12} equal to?

    Tap an option to check your answer.

  5. Question 5

    Definite Integration. Asked once: NDA 2 2021 (same type asked 2 times)

    89
    What is ∫0πln⁡ ⁣(tan⁡x2)dx\int_{0}^{\pi}\ln\!\left(\tan\frac{x}{2}\right)dx equal to?

    Tap an option to check your answer.