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Day 488: MHT-CET Maths

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

  1. Question 1

    Permutations and Combinations. Asked once: 9 May 2023 S2

    141
    Consider a group of 5 boys and 7 girls. The number of different teams, consisting of 2 boys and 3 girls that can be formed from this group if there are two specific girls A and B, who refuse to be the members of the same team, is

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  2. Question 2

    Probability Distribution. Asked once: 19 Apr 2025 S1

    107
    A box contains 9 tickets numbered 1 to 9 both inclusive. If 3 tickets are drawn from the box one at a time, then the probability that they are alternatively either {odd, even, odd} or {even, odd, even} is

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  3. Question 3

    Sets, Relations and Functions. Asked once: 9 May 2023 S1

    122
    In a class of 300 students, every student reads 5 newspapers and every newspaper is read by 60 students. Then the number of newspapers is

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  4. Question 4

    Straight Line. Asked once: 11 May 2024 S2

    132
    If the vertices of a triangle are (−2,3)(-2,3), (6,−1)(6,-1) and (4,3)(4,3), the coordinates of the circumcentre of the triangle are

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  5. Question 5

    Trigonometric Functions. Asked once: 17 Apr 2026 S1

    54
    If the equation sin⁡3θ−cos⁡2θ=14\sin 3\theta - \cos^2\theta = \dfrac{1}{4} and θ∈[0,π]\theta \in [0, \pi], then the number of solutions is...

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