PYQ Vault
EbooksTutor

Day 105: NDA Maths

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

  1. Question 1

    Definite Integration. Asked once: NDA 1 2019 (same type asked 4 times)

    82
    ∫0π/2∣sin⁡x−cos⁡x∣ dx\displaystyle\int_0^{\pi/2}|\sin x-\cos x|\,dx is equal to

    Tap an option to check your answer.

  2. Question 2

    Inverse Trigonometry. Asked once: NDA 1 2024 (same type asked 4 times)

    39
    If cos⁡−1x=sin⁡−1x\cos^{-1}x=\sin^{-1}x, then which one of the following is correct?

    Tap an option to check your answer.

  3. Question 3

    Probability. Asked once: NDA 1 2019 (same type asked 4 times)

    110
    If two fair dice are rolled then what is the conditional probability that the first dice lands on 6 given that the sum of numbers on the dice is 8?

    Tap an option to check your answer.

  4. Question 4

    Probability. Asked once: NDA 1 2024 (same type asked 4 times)

    108
    If the letters of the word "TIRUPATI" are written down at random, then what is the probability that both Ts are always consecutive?

    Tap an option to check your answer.

  5. Question 5

    Sets & Relations. Asked once: NDA 1 2021 (same type asked 4 times)

    35
    Consider the following statements: 1. A={1,3,5}A = \{1,3,5\} and B={2,4,7}B = \{2,4,7\} are equivalent sets. 2. A={1,5,9}A = \{1,5,9\} and B={1,5,5,9,9}B = \{1,5,5,9,9\} are equal sets. Which of the above statements is/are correct?

    Tap an option to check your answer.