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Day 439: MHT-CET Maths

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

  1. Question 1

    Permutations and Combinations. Asked once: 15 Apr 2026 S2

    53
    If 6 boys and 3 girls are to be seated in a row for a photograph, then the probability that the end seats are occupied by the girls and no two girls are side by side is

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  2. Question 2

    Probability Distribution. Asked once: 19 Apr 2026 S2

    98
    Two cards are drawn at random from a box which contains 5 cards numbered 1, 1, 2, 2 & 3. If X denotes the sum of the numbers, then the expected value of X is...

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  3. Question 3

    Quadratic Equations. Asked once: 9 May 2023 S2

    104
    Let α,β\alpha, \beta be the roots of the equation x2−px+r=0x^2 - px + r = 0 and α2,2β\frac{\alpha}{2}, 2\beta be the roots of the equation x2−qx+r=0x^2 - qx + r = 0. Then the value of rr is

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  4. Question 4

    Sequences and Series. Asked once: 19 Apr 2025 S1

    145
    If x+log⁡15(5+3x)=xlog⁡155+log⁡1524x+\log_{15}\left( 5 +3^{x} \right)=x\log_{15}5 +\log_{15}24, then x=x= ____\_\_\_\_

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  5. Question 5

    Sets, Relations and Functions. Asked once: 20 Apr 2026 S1

    69
    The domain of the function f(x)=(10−x)C(x−6)f(x) = {}^{(10-x)}C_{(x-6)} is...

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