PYQ Vault

Day 324: MHT-CET Maths

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

  1. Question 1

    Vectors. Asked once: 23 Apr 2025 S1 (same type asked 15 times) See all 15 of this type

    145
    Let aˉ=2i^+j^+k^,bˉ=i^+2j^−k^\bar{a}= 2\widehat{i}+\widehat{j}+\widehat{k},\bar{b}=\widehat{i}+ 2\widehat{j}-\widehat{k} and vector cˉ\bar{c} be coplanar. If cˉ\bar{c} is perpendicular to aˉ\bar{a}, then cˉ\bar{c} is

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  2. Question 2

    Binomial Distribution. Asked once: 16 Apr 2026 S2 (same type asked 14 times) See all 14 of this type

    98
    If a fair coin is tossed 8 times, then the probability of getting at most 2 heads is...

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  3. Question 3

    Trigonometric Functions. Asked once: 19 Apr 2026 S2 (same type asked 14 times) See all 14 of this type

    100
    The lengths of the shadows of a tree of height p, thrown by sun's rays at three different moments are p, 2p and 3p. The sum of the angles of elevation of the sun's rays at these three moments is equal to...

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  4. Question 4

    Mathematical Logic. Asked once: 19 Apr 2026 S2 (same type asked 14 times) See all 14 of this type

    60
    If the truth value of [(p∨q)∧(q→r)∧(∼r)]→(p∧q)[(p \vee q) \wedge (q \to r) \wedge (\sim r)] \to (p \wedge q) is false, then which of the following is NOT true?

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  5. Question 5

    Differential Equations. Asked once: 16 Apr 2026 S2 (same type asked 14 times) See all 14 of this type

    84
    For the differential equation d3ydx3+cos⁡(d2ydx2)=0\dfrac{d^3y}{dx^3} + \cos\left(\dfrac{d^2y}{dx^2}\right) = 0, which of the following is true ?

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