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Day 182: MHT-CET Maths

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

  1. Question 1

    Mathematical Logic. Asked once: 20 Apr 2026 S2 (same type asked 8 times) See all 8 of this type

    61
    The contrapositive of ∼q→p\sim q \to p is equivalent to

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  2. Question 2

    Probability Distribution. Asked once: 20 Apr 2026 S1 (same type asked 8 times) See all 8 of this type

    100
    In a certain city, the ratio of men to women is 5:45 : 4. It is found that 80%80\% of men and 90%90\% of women are literate. If a person selected at random is found to be illiterate, then the probability that the person is a man is....

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  3. Question 3

    Trigonometric Functions. Asked once: 19 Apr 2026 S2 (same type asked 8 times) See all 8 of this type

    64
    If ABC is a triangle of area Δ\Delta with a=2,b=72,c=52a = 2, b = \dfrac{7}{2}, c = \dfrac{5}{2}, where a,b,ca, b, c are the lengths of the sides of the triangle opposite to angles A, B and C respectively, then 2sin⁡A−sin⁡2A2sin⁡A+sin⁡2A\dfrac{2\sin A - \sin 2A}{2\sin A + \sin 2A} is equal to...

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  4. Question 4

    Line and Plane. Asked once: 19 Apr 2026 S1 (same type asked 8 times) See all 8 of this type

    95
    If pp is the shortest distance between the lines x+17=y+1−6=z+1\dfrac{x + 1}{7} = \dfrac{y + 1}{-6} = z + 1 and r⃗=(3i^+5j^+7k^)+μ(i^−2j^+k^)\vec{r} = (3\hat{i} + 5\hat{j} + 7\hat{k}) + \mu(\hat{i} - 2\hat{j} + \hat{k}) then [p][p] is... ,(where [ . ] denotes the greatest integer function.)

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  5. Question 5

    Differentiation. Asked once: 16 Apr 2026 S2 (same type asked 8 times) See all 8 of this type

    73
    If y=cos⁡−1(1−4x1+4x)y = \cos^{-1}\left(\dfrac{1 - 4^x}{1 + 4^x}\right), then dydx\dfrac{dy}{dx} at x=1x = 1 is

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