PYQ Vault
EbooksTutor

Day 169: NDA Maths

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

  1. Question 1

    Binomial Theorem. Asked once: NDA 2 2021 (same type asked 6 times)

    20
    How many terms are there in the expansion of (a2b2+b2a2+2)21\left(\frac{a^{2}}{b^{2}}+\frac{b^{2}}{a^{2}}+2\right)^{21} where a≠0a\ne0, b≠0b\ne0?

    Tap an option to check your answer.

  2. Question 2

    Definite Integration. Asked once: NDA 1 2024 (same type asked 6 times)

    74
    What is ∫−11(3sin⁡x−sin⁡3x)cos⁡2x dx\displaystyle\int_{-1}^{1}(3\sin x-\sin3x)\cos^2x\,dx equal to?

    Tap an option to check your answer.

  3. Question 3

    Matrices & Determinants. Asked once: NDA 2 2025 (same type asked 6 times)

    44
    Consider the following statements: Statement-I: If XX is an n×nn\times n matrix, then det⁡(mX)=mndet⁡(X)\det(mX)=m^n\det(X), where mm is a scalar. Statement-II: If YY is a matrix obtained from XX by multiplying any row or column by a scalar mm, then det⁡(Y)=mdet⁡(X)\det(Y)=m\det(X). Which one of the following is correct in respect of the above statements?

    Tap an option to check your answer.

  4. Question 4

    Probability. Asked once: NDA 1 2020 (same type asked 6 times)

    113
    A husband and wife appear in an interview for two vacancies for the same post. The probability of the husband's selection is 17\frac{1}{7} and that of the wife's selection is 15\frac{1}{5}. If the events are independent, then the probability of which one of the following is 1135\frac{11}{35}?

    Tap an option to check your answer.

  5. Question 5

    Probability. Asked once: NDA 2 2019 (same type asked 6 times)

    111
    Two dice are thrown simultaneously. What is the probability that the sum of the numbers appearing on them is a prime number ?

    Tap an option to check your answer.