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Day 429: MHT-CET Maths

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

  1. Question 1

    Permutations and Combinations. Asked once: 20 Apr 2026 S2

    53
    The number of permutations of the letters of the word INSTITUTION are .......

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  2. Question 2

    Probability Distribution. Asked once: 12 May 2026 S1

    100
    The number is selected randomly from the integers 11 to 100100. The probability that the number selected has exactly three factors is ...

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  3. Question 3

    Quadratic Equations. Asked once: 20 Apr 2025 S2

    141
    If f(x)=2x3+mx2−13x+nf(x) = 2x^{3}+mx^{2}- 13x+n and 2,3 are the roots of the equation f(x)=0f(x) = 0 then the value of 4m+5n4m+ 5n is

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  4. Question 4

    Sequences and Series. Asked once: 25 Apr 2025 S1

    134
    If  nC0+12 nC1+13 nC2+.........1nnCn−1+1n+1 nCn=102310\ ^{n}C_{0}+\frac{1}{2}\ ^{n}C_{1}+\frac{1}{3}\ ^{n}C_{2}+ .........\frac{1}{n}^{n}C_{n- 1}+\frac{1}{n+ 1}\ ^{n}C_{n}=\frac{1023}{10} then n=n =

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  5. Question 5

    Sets, Relations and Functions. Asked once: 13 May 2026 S1

    51
    If f(x)=2x+5f(x) = \dfrac{2}{x + 5} and g(x)=x2−1g(x) = x^2 - 1, then the positive value of xx satisfying (f∘g)(x)=110(f \circ g)(x) = \dfrac{1}{10} is

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