PYQ Vault

Day 339: NDA Maths

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

  1. Question 1

    Limits & Continuity. Asked once: NDA 1 2019

    75
    lim⁡x→01−cos⁡34xx2\lim_{x\to0}\dfrac{1-\cos^3 4x}{x^2} is equal to

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  2. Question 2

    Lines. Asked once: NDA 2 2022

    58
    The base AB of an equilateral triangle ABC with side 8 cm lies along the y-axis such that the mid-point of AB is at the origin and B lies above the origin. What is the equation of line passing through (8, 0) and parallel to the side AC?

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  3. Question 3

    Matrices & Determinants. Asked once: NDA 2 2024

    19
    Consider the following in respect of the matrices P=(0c−b−c0ab−a0)P=\begin{pmatrix}0&c&-b\\-c&0&a\\b&-a&0\end{pmatrix} and Q=(a2abacabb2bcacbcc2)Q=\begin{pmatrix}a^2&ab&ac\\ab&b^2&bc\\ac&bc&c^2\end{pmatrix}: A. PQPQ is a null matrix. B. QPQP is an identity matrix of order 3. C. PQ=QPPQ=QP Which of the above is/are correct?

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  4. Question 4

    Permutation & Combination. Asked once: NDA 2 2019

    32
    How many two-digit numbers are divisible by 4 ?

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  5. Question 5

    Probability. Asked once: NDA 1 2024

    110
    Three different numbers are selected at random from the first 15 natural numbers. What is the probability that the product of two of the numbers is equal to the third?

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