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Day 218: MHT-CET Maths

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

  1. Question 1

    Trigonometric Functions. Asked once: 2 May 2023 S2 (same type asked 4 times) See all 4 of this type

    136
    The value of tan⁡ ⁣(2tan⁡−1 ⁣(5−1)/2)\tan\!\left(2\tan^{-1}\!\left(\sqrt{5}-1\right)/2\right) is

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  2. Question 2

    Applications of Derivative. Asked once: 20 Apr 2025 S1 (same type asked 4 times) See all 4 of this type

    103
    20 is divided into two parts so that the product of the cube of one part and the square of the other part is maximum, then these two parts are

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  3. Question 3

    Permutations and Combinations. Asked once: 11 Apr 2026 S1 (same type asked 4 times) See all 4 of this type

    53
    There are 55 boys and 33 girls seated in a row for a photograph. The number of ways in which a photograph can be taken if the girls occupy only odd places is...

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  4. Question 4

    Linear Programming. Asked once: 25 Apr 2025 S1 (same type asked 4 times) See all 4 of this type

    106
    The solution set of the constraints ∣x−y∣≤1,x,y≥0|x-y| \leq 1,x,y\geq 0 is

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  5. Question 5

    Probability Distribution. Asked once: 10 May 2024 S2 (same type asked 4 times) See all 4 of this type

    121
    The three ships namely A, B and C sail from India to Africa. If the odds in favour of the ships reaching safely are 2:5,  3:72:5,\;3:7 and 6:116:11 respectively, then probability of all of them arriving safely is

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