PYQ Vault

Day 301: MHT-CET Maths

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

  1. Question 1

    Permutations and Combinations. Asked once: 15 Apr 2026 S1 (same type asked 4 times) See all 4 of this type

    52
    The number of five-digit numbers formed using the digits 2,3,5,7,92, 3, 5, 7, 9 without repetition and which are greater than 2400024000 are

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  2. Question 2

    Sets, Relations and Functions. Asked once: May 2021 S1 (same type asked 4 times) See all 4 of this type

    127
    Range of the function f(x)=x1+x2f(x) = \frac{x}{1+x^2} is

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  3. Question 3

    Vectors. Asked once: 15 Apr 2026 S1 (same type asked 4 times) See all 4 of this type

    91
    Let (pˉ∧qˉ)(\bar{p} \wedge \bar{q}) denote the angle between pˉ\bar{p} and qˉ\bar{q}. If aˉ+bˉ+cˉ=0ˉ,∣aˉ∣=7,∣bˉ∣=5\bar{a} + \bar{b} + \bar{c} = \bar{0}, |\bar{a}| = 7, |\bar{b}| = 5 and ∣cˉ∣=3|\bar{c}| = 3 then (take π=227\pi = \dfrac{22}{7})

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  4. Question 4

    Complex Numbers. Asked once: 19 Apr 2026 S2 (same type asked 4 times) See all 4 of this type

    51
    If z=∑n=02026inz = \sum_{n=0}^{2026} i^n, where i=−1i = \sqrt{-1}, then one of the values of z\sqrt{z} is...

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  5. Question 5

    Linear Programming. Asked once: 11 Apr 2026 S1 (same type asked 4 times) See all 4 of this type

    97
    The point at which the maximum value of x+yx + y subject to constraints x+2y≤70x + 2y \le 70 and 2x+y≤95,x≥0,y≥02x + y \le 95, x \ge 0, y \ge 0 is.

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