PYQ Vault

Day 150: MHT-CET Maths

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

  1. Question 1

    Indefinite Integration. This type asked 2 times: 11 Apr 2026 S1, 13 May 2026 S2. This one: 13 May 2026 S2 See all 2 of this type

    80
    ∫4x+52x+1 dx=\displaystyle\int\dfrac{4x + 5}{2x + 1}\,dx =

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  2. Question 2

    Permutations and Combinations. This type asked 2 times: 10 May 2024 S2, 13 May 2026 S2. This one: 13 May 2026 S2 See all 2 of this type

    58
    The sum of the greatest values of 15Cr{}^{15}C_r and 12Cr{}^{12}C_r is equal to

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  3. Question 3

    Permutations and Combinations. This type asked 2 times: 2 May 2023 S1, 13 May 2026 S1. This one: 13 May 2026 S1 See all 2 of this type

    55
    A teacher has 2 different books on English, 3 different books on physics, and 4 different books on mathematics. These books are to be placed on the shelf so that all books of the same subjects are together. The number of different ways this can be done is:

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  4. Question 4

    Straight Line. This type asked 2 times: 19 Apr 2026 S1, 13 May 2026 S1. This one: 13 May 2026 S1 See all 2 of this type

    58
    A straight line passes through the point (3,3)(3, 3) and intersects the positive xx and yy axes at the points A(h,0)A(h, 0) and B(0,k)B(0, k) respectively. If O is the origin, then the minimum area of △OAB\triangle OAB is:

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  5. Question 5

    Vectors. This type asked 2 times: 19 Apr 2025 S1, 13 May 2026 S1. This one: 13 May 2026 S1 See all 2 of this type

    89
    If the volume of a tetrahedron with coterminous edges a⃗,b⃗\vec{a}, \vec{b} and c⃗\vec{c}, (where a⃗\vec{a} is a unit vector) is 1313 cubic units and the angle between a⃗\vec{a} and b⃗×c⃗\vec{b} \times \vec{c} is π3\dfrac{\pi}{3}, then ∣b⃗×c⃗∣|\vec{b} \times \vec{c}| is

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