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Day 309: MHT-CET Maths

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

  1. Question 1

    Differential Equations. Asked once: 19 Apr 2025 S1 (same type asked 4 times) See all 4 of this type

    118
    In a bank, the principal increases continuously at a rate of x%x\% per year. Then the rate xx, if ₹100 double itself in 10 years, is ( log⁡2=0.6931\log2 = 0.6931)

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  2. Question 2

    Probability Distribution. Asked once: 11 May 2023 S1 (same type asked 4 times) See all 4 of this type

    123
    If A and B are two independent events such that P(A′)=0.75P(A') = 0.75, P(A∪B)=0.65P(A \cup B) = 0.65 and P(B)=pP(B) = p, then value of p is

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  3. Question 3

    Probability Distribution. Asked once: 15 May 2023 S2 (same type asked 3 times) See all 3 of this type

    148
    If two fair dice are rolled, then the probability that the sum of the numbers on the upper faces is at least 9, is

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  4. Question 4

    Vectors. Asked once: 11 Apr 2026 S2 (same type asked 3 times) See all 3 of this type

    91
    The parallelopiped is determined by vectors aˉ=−2i^+5j^+3k^,bˉ=i^+3j^−2k^,cˉ=−3i^+j^+4k^\bar{a} = -2\hat{i} + 5\hat{j} + 3\hat{k}, \bar{b} = \hat{i} + 3\hat{j} - 2\hat{k}, \bar{c} = -3\hat{i} + \hat{j} + 4\hat{k}. The altitude of parallelopiped on the parallelogram base determined by vectors bˉ\bar{b} and cˉ\bar{c} is

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  5. Question 5

    Vectors. Asked once: 19 Apr 2025 S2 (same type asked 3 times) See all 3 of this type

    105
    In triangle ABC , the point P divides BC internally in the ratio 3:43:4 and Q divides CA internally in the ratio 5:35:3. If AP and BQ intersect in a point GG, then GG divides APAP internally in the ratio

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