PYQ Vault
EbooksTutor

Day 208: NDA Maths

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

  1. Question 1

    Matrices & Determinants. Asked once: NDA 2 2019 (same type asked 8 times)

    26
    If A=(122334)A = \begin{pmatrix} 1 & 2 \\ 2 & 3 \\ 3 & 4 \end{pmatrix} and B=(1221)B = \begin{pmatrix} 1 & 2 \\ 2 & 1 \end{pmatrix}, then which one of the following is correct ?

    Tap an option to check your answer.

  2. Question 2

    Probability. Asked once: NDA 1 2020 (same type asked 7 times)

    120
    Three cooks X, Y and Z bake a special kind of cake, and with respective probabilities 0·02, 0·03 and 0·05, it fails to rise. In the restaurant where they work, X bakes 50%, Y bakes 30% and Z bakes 20% of cakes. What is the proportion of failures caused by X?

    Tap an option to check your answer.

  3. Question 3

    Sequence & Series. Asked once: NDA 2 2019 (same type asked 7 times)

    33
    Let SnS_{n} be the sum of the first nn terms of an AP. If S2n=3n+14n2S_{2n} = 3n + 14n^{2}, then what is the common difference ?

    Tap an option to check your answer.

  4. Question 4

    Application of Derivatives. Asked once: NDA 1 2021 (same type asked 7 times)

    94
    Consider the following statements in respect of the function f(x)=sin⁡xf(x)=\sin x: 1. f(x)f(x) increases in the interval (0,π)(0,\pi). 2. f(x)f(x) decreases in the interval (5π2,3π)\left(\frac{5\pi}{2},3\pi\right). Which of the above statements is/are correct?

    Tap an option to check your answer.

  5. Question 5

    Probability. Asked once: NDA 1 2020 (same type asked 7 times)

    119
    If A and B are two events such that P(A)=0.6P(A)=0.6, P(B)=0.5P(B)=0.5 and P(A∩B)=0.4P(A\cap B)=0.4, then consider the following statements: 1. P(Aˉ∪B)=0.9P(\bar{A}\cup B)=0.9. 2. P(Bˉ∣Aˉ)=0.6P(\bar{B}\mid\bar{A})=0.6. Which of the above statements is/are correct?

    Tap an option to check your answer.