PYQ Vault
EbooksTutor

Day 91: NDA Maths

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

  1. Question 1

    Sequence & Series. Asked once: NDA 1 2025 (same type asked 7 times)

    1
    The sum of the first kk terms of a series SS is 3k2+5k3k^2+5k. Which one of the following is correct?

    Tap an option to check your answer.

  2. Question 2

    Application of Derivatives. Asked once: NDA 1 2024 (same type asked 7 times)

    83
    Let f(x)=xln⁡x  (x>1)f(x)=\dfrac{x}{\ln x}\;(x>1). Consider the following statements: (A) f(x)f(x) is increasing in the interval (e,∞)(e,\infty). (B) f(x)f(x) is decreasing in the interval (1,e)(1,e). (C) 9ln⁡7>7ln⁡99\ln7>7\ln9. Which of the statements given above are correct?

    Tap an option to check your answer.

  3. Question 3

    Probability. Asked once: NDA 1 2025 (same type asked 7 times)

    116
    If P(A)=13,P(B)=12P(A)=\frac{1}{3}, P(B)=\frac{1}{2} and P(A∩B)=14P(A\cap B)=\frac{1}{4}, then what is the value of P(Ac∩Bc)P(A^c\cap B^c)?

    Tap an option to check your answer.

  4. Question 4

    Binomial Distribution. Asked once: NDA 1 2024 (same type asked 6 times)

    102
    If a random variable XX follows binomial distribution with mean 5 and variance 4523\frac{45}{23}, P(X=3)=λ⋅4λP(X=3)=\lambda\cdot4^{\lambda}, then what is the value of λ\lambda?

    Tap an option to check your answer.

  5. Question 5

    Binomial Theorem. Asked once: NDA 1 2023 (same type asked 6 times)

    25
    How many terms are there in the expansion of (3x−y)4(x+3y)4(3x-y)^{4}(x+3y)^{4}?

    Tap an option to check your answer.