PYQ Vault

Day 173: MHT-CET Maths

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

  1. Question 1

    Vectors. Asked once: 19 May 2026 S1 (same type asked 11 times) See all 11 of this type

    90
    The scalar triple product of the vectors [2aˉ+3bˉ  3bˉ+cˉ  cˉ+2aˉ][2\bar{a} + 3\bar{b}\ \ 3\bar{b} + \bar{c}\ \ \bar{c} + 2\bar{a}] is equal to:

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  2. Question 2

    Determinants and Matrices. Asked once: 12 May 2026 S2 (same type asked 11 times) See all 11 of this type

    67
    If A=[122212221]A = \begin{bmatrix} 1 & 2 & 2 \\ 2 & 1 & 2 \\ 2 & 2 & 1 \end{bmatrix} and A−1=xA+yIA^{-1} = xA + yI, then the values of xx and yy are...

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  3. Question 3

    Differential Equations. Asked once: 20 Apr 2026 S2 (same type asked 11 times) See all 11 of this type

    86
    The general solution of the differential equation dydx+yx=x2+5\dfrac{dy}{dx} + \dfrac{y}{x} = x^2 + 5 is ....

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  4. Question 4

    Differential Equations. Asked once: 25 Apr 2025 S2 (same type asked 11 times) See all 11 of this type

    111
    The rate of increase of the population of a city is proportional to the population present at that instant. In the period of 40 years the population increased from 30,000 to 40,000. At any time tt the population is (a)(b)t40(a)(b)^{\frac{t}{40}}. Then the values of a and bb are respectively

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  5. Question 5

    Binomial Distribution. Asked once: 13 May 2026 S2 (same type asked 10 times) See all 10 of this type

    98
    Suppose that 60%60\% of all families own a mobile set. If 1111 families are interviewed at random, then the probability that 88 families own a mobile set is..... (Given that (0.6)8=0.0168(0.6)^8 = 0.0168)

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