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Day 264: MHT-CET Maths

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

  1. Question 1

    Determinants and Matrices. Asked once: May 2021 S1 (same type asked 2 times) See all 2 of this type

    116
    For an invertible matrix AA, if A(adj A)=(200020)A(\text{adj}\,A) = \begin{pmatrix}20 & 0\\0 & 20\end{pmatrix}, then ∣A∣=|A| =

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  2. Question 2

    Mathematical Logic. Asked once: 15 May 2026 S1 (same type asked 19 times) See all 19 of this type

    64
    The logical expression [∼(p→q)∧(q→p)]∨∼(p↔q)[\sim(p \rightarrow q) \wedge (q \rightarrow p)] \vee \sim(p \leftrightarrow q) is equivalent to:

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  3. Question 3

    Differential Equations. Asked once: 26 Apr 2025 S1 (same type asked 15 times) See all 15 of this type

    101
    The general solution of the differential equation dy dx=cot⁡x⋅cot⁡y\frac{dy}{\text{ }dx}= \cot x\cdot \cot y is

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  4. Question 4

    Vectors. Asked once: 18 Apr 2026 S1 (same type asked 15 times) See all 15 of this type

    91
    A vector which is orthogonal to the vector aˉ=i^+2j^+3k^\bar{a} = \hat{i} + 2\hat{j} + 3\hat{k} and coplanar with the vectors bˉ=3i^+2j^\bar{b} = 3\hat{i} + 2\hat{j} and cˉ=2i^+j^+3k^\bar{c} = 2\hat{i} + \hat{j} + 3\hat{k} is

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  5. Question 5

    Binomial Distribution. Asked once: 17 Apr 2026 S2 (same type asked 14 times) See all 14 of this type

    98
    On average, one out of 10 persons is busy. If six persons are selected at random, then the probability that at least 5 of them will be busy is...

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