PYQ Vault
EbooksTutor

Day 345: NDA Maths

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

  1. Question 1

    Matrices & Determinants. Asked once: NDA 1 2024

    12
    Consider the following statements in respect of a non-singular matrix AA of order nn: 1. A(adj AT)=A(adj A)TA(\text{adj}\,A^T) = A(\text{adj}\,A)^T 2. If A2=AA^2 = A, then AA is identity matrix of order nn 3. If A3=AA^3 = A, then AA is identity matrix of order nn Which of the statements given above are correct?

    Tap an option to check your answer.

  2. Question 2

    Permutation & Combination. Asked once: NDA 2 2018

    32
    The total number of 5-digit numbers that can be composed of distinct digits from 0 to 9 is

    Tap an option to check your answer.

  3. Question 3

    Probability. Asked once: NDA 2 2023

    112
    A fair coin is tossed 6 times. What is the probability of getting in the 6th toss a result different from those in the first five tosses?

    Tap an option to check your answer.

  4. Question 4

    Properties of Triangle. Asked once: NDA 1 2017

    49
    Consider the following for triangle ABCABC: 1. sin⁡ ⁣(B+C2)=cos⁡ ⁣(A2)\sin\!\left(\dfrac{B+C}{2}\right) = \cos\!\left(\dfrac{A}{2}\right) 2. tan⁡ ⁣(B+C2)=cot⁡ ⁣(A2)\tan\!\left(\dfrac{B+C}{2}\right) = \cot\!\left(\dfrac{A}{2}\right) 3. sin⁡(B+C)=cos⁡A\sin(B+C) = \cos A 4. tan⁡(B+C)=−cot⁡A\tan(B+C) = -\cot A Which of the above are correct?

    Tap an option to check your answer.

  5. Question 5

    Sequence & Series. Asked once: NDA 2 2018

    47
    If a, b, c are in AP or GP or HP, then a−bb−c\frac{a-b}{b-c} is equal to

    Tap an option to check your answer.