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Day 152: NDA Maths

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

  1. Question 1

    Matrices & Determinants. Asked once: NDA 1 2017 (same type asked 2 times)

    29
    If a≠b≠ca \neq b \neq c, then one value of xx which satisfies the equation ∣0x−ax−bx+a0x−cx+bx+c0∣=0\begin{vmatrix} 0 & x-a & x-b \\ x+a & 0 & x-c \\ x+b & x+c & 0 \end{vmatrix} = 0 is given by

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  2. Question 2

    Permutation & Combination. Asked once: NDA 2 2017 (same type asked 2 times)

    10
    How many different permutations can be made out of the letters of the word 'PERMUTATION'?

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  3. Question 3

    Probability. Asked once: NDA 1 2019 (same type asked 2 times)

    108
    Two independent events A and B are such that P(A∪B)=23P(A\cup B)=\dfrac{2}{3} and P(A∩B)=16P(A\cap B)=\dfrac{1}{6}. If P(B)<P(A)P(B)<P(A), then what is P(B) equal to?

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  4. Question 4

    Quadratic Equations. Asked once: NDA 1 2020 (same type asked 2 times)

    76
    If f(x)=3x2−5x+pf(x)=3x^2-5x+p and f(0)f(0) and f(1)f(1) are opposite in sign, then which of the following is correct?

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  5. Question 5

    Statistics. Asked once: NDA 1 2018 (same type asked 2 times)

    110
    Median of: 4.6, 0, 9.3, -4.8, 7.6, 2.3, 12.7, 3.5, 8.2, 6.1, 3.9, 5.2?

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