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Day 407: MHT-CET Maths

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

  1. Question 1

    Definite Integration. Asked once: 11 May 2023 S1 (same type asked 8 times) See all 8 of this type

    111
    ∫0.23.5[x] dx=\int_{0.2}^{3.5} [x]\,dx = (where [x]=[x] = greatest integer not greater than x)

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  2. Question 2

    Mathematical Logic. Asked once: 4 May 2023 S2 (same type asked 8 times) See all 8 of this type

    124
    The converse of [p∧(∼q)]→r[p\wedge(\sim q)]\rightarrow r is

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  3. Question 3

    Probability Distribution. Asked once: 20 Apr 2025 S2 (same type asked 8 times) See all 8 of this type

    144
    For k=1,2,3k = 1,2,3 the box BkB_{k} contains k red balls and (k+1)(k + 1) white balls. Let P(B1)=12,P(B2)=13P\left( B_{1} \right)=\frac{1}{2},P\left( B_{2} \right)=\frac{1}{3} and P(B3)=16.AP\left( B_{3} \right)=\frac{1}{6}.A box is selected at random and a ball is drawn from it. If a red ball is drawn from it, then the probability that it comes from box B2B_{2} is

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  4. Question 4

    Trigonometric Functions. Asked once: 19 Apr 2025 S1 (same type asked 8 times) See all 8 of this type

    122
    The ratios of sides in a triangle ABC are 5:12:135:12:13 and its area is 270 . Then sides of the triangle are

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  5. Question 5

    Linear Programming. Asked once: 10 May 2023 S2 (same type asked 8 times) See all 8 of this type

    114
    The graphical solution set of the system of inequations x+y≥1, 7x+9y≤63, y≤5, x≤6, x≥0, y≥0x+y \geq 1,\, 7x+9y \leq 63,\, y \leq 5,\, x \leq 6,\, x \geq 0,\, y \geq 0 is represented by

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