PYQ Vault

Day 34: NDA Maths

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

  1. Question 1

    Probability. This type asked 3 times: NDA 2 2022, NDA 1 2023, NDA 2 2024. This one: NDA 2 2024

    109
    A natural number xx is chosen at random from the first 100 natural numbers. What is the probability that x2+x>50x^2+x>50?

    Tap an option to check your answer.

  2. Question 2

    Sets & Relations. This type asked 3 times: NDA 2 2018, NDA 2 2022, NDA 2 2024. This one: NDA 2 2024

    40
    In a class of 240 students, 180 passed in English, 130 passed in Hindi and 150 passed in Sanskrit. Further, 60 passed in only one subject, 110 passed in only two subjects and 10 passed in none of the subjects. How many passed in all three subjects?

    Tap an option to check your answer.

  3. Question 3

    Trigonometric Identities. This type asked 3 times: NDA 1 2019, NDA 1 2020, NDA 2 2024. This one: NDA 2 2024

    30
    What is cos⁡17°−sin⁡17°cos⁡17°+sin⁡17°\dfrac{\cos17°-\sin17°}{\cos17°+\sin17°} equal to?

    Tap an option to check your answer.

  4. Question 4

    Trigonometric Identities. This type asked 3 times: NDA 1 2020, NDA 2 2022, NDA 2 2024. This one: NDA 2 2024

    29
    What is sin⁡12°sin⁡48°\sin 12°\sin 48° equal to?

    Tap an option to check your answer.

  5. Question 5

    Vectors. This type asked 3 times: NDA 2 2021, NDA 2 2022, NDA 2 2024. This one: NDA 2 2024

    53
    Let θ\theta be the angle between two unit vectors a⃗\vec{a} and b⃗\vec{b}. If a⃗+2b⃗\vec{a}+2\vec{b} is perpendicular to 5a⃗−4b⃗5\vec{a}-4\vec{b}, then what is cos⁡θ+cos⁡2θ\cos\theta+\cos2\theta equal to?

    Tap an option to check your answer.