PYQ Vault

Day 86: MHT-CET Maths

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

  1. Question 1

    Permutations and Combinations. This type asked 3 times: 16 May 2023 S2, 22 Apr 2025 S2, 12 May 2026 S2. This one: 12 May 2026 S2 See all 3 of this type

    57
    How many different five digit numbers which are divisible by 44 can be formed using the digits in the number 2245722457 ?

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  2. Question 2

    Indefinite Integration. This type asked 3 times: 19 Apr 2025 S1, 20 Apr 2026 S1, 12 May 2026 S1. This one: 12 May 2026 S1 See all 3 of this type

    80
    If ∫sin⁡4x⋅elog⁡(cos⁡x) dx=1ksin⁡kx+C\displaystyle\int\sin^4 x \cdot e^{\log(\cos x)}\,dx = \dfrac{1}{k}\sin^k x + C, for x∈(−π2,π2)x \in \left(-\dfrac{\pi}{2}, \dfrac{\pi}{2}\right), then ...

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  3. Question 3

    Linear Programming. This type asked 3 times: 26 Apr 2025 S2, 19 Apr 2026 S2, 12 May 2026 S1. This one: 12 May 2026 S1 See all 3 of this type

    97
    A company sells two types of notebooks, A and B. Each notebook requires two processes: printing and binding. Notebook A requires 22 minutes for printing and 11 minute for binding. Notebook B requires 44 minutes for printing and 22 minutes for binding. The company can spend 66 hours on printing and 22 hours on binding. If the profit made on notebooks A and B is Rs. 22 and Rs. 55 respectively, then the Linear Programming Problem (LPP) to maximize the total profit zz is ...

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  4. Question 4

    Permutations and Combinations. This type asked 3 times: 21 Apr 2025 S2, 19 Apr 2026 S2, 12 May 2026 S1. This one: 12 May 2026 S1 See all 3 of this type

    57
    If (n+3)!(n2−4)(n+1)!=116\dfrac{(n + 3)!}{(n^2 - 4)(n + 1)!} = \dfrac{11}{6}, for n∈N,n≠2n \in N, n \neq 2, then the value of 3n−203n - 20 is equal to ...

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  5. Question 5

    Sets, Relations and Functions. This type asked 3 times: 14 May 2024 S2, 13 Apr 2026 S2, 20 Apr 2026 S2. This one: 20 Apr 2026 S2 See all 3 of this type

    68
    If f(x)=2x−1x+5,x≠−5f(x) = \dfrac{2x - 1}{x + 5}, x \neq -5 then f−1(x)f^{-1}(x) is equal to

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