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Day 434: 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

    54
    A bag contains 23 balls, of which 7 are identical. The number of ways of selecting 12 balls from the bag is....

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  2. Question 2

    Probability Distribution. Asked once: 20 Apr 2026 S2

    100
    A fair die is rolled indefinitely. Player A wins if two consecutive rolls show 3 or 5, and player B wins if two consecutive rolls show 1 or 2 or 4 or 6. The probability that player A wins in the long run is

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  3. Question 3

    Quadratic Equations. Asked once: 19 Apr 2025 S2

    148
    The value of 'a' so that the sum of squares of the roots of the equation x2−(a−2)x−a+1=0x^{2}- (a- 2)x-a+ 1 = 0 assumes the least value is

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  4. Question 4

    Sequences and Series. Asked once: 22 Apr 2025 S2

    144
    The lines x+2ay+a=0,x+3by+b=0x + 2ay + a = 0,x + 3by + b = 0, x+4cy+c=0x + 4cy + c = 0 are concurrent then a,b,ca,b,c are in

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  5. Question 5

    Sets, Relations and Functions. Asked once: 12 May 2026 S1

    51
    The Range of the function y=log⁡(sin⁡x)y = \log(\sin x), defined for all xx such that sin⁡x>0\sin x > 0 is ...

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