Day 60: MHT-CET Maths

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

Question 1
Permutations and Combinations. This type asked 4 times: 2 May 2023 S2, 12 May 2024 S2, 11 Apr 2026 S1, 17 Apr 2026 S1. This one: 17 Apr 2026 S1 See all 4 of this type
52 $The number of arrangements of the letters in the word SOLAPUR, so that consonants and vowels are placed alternately is$
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Question 2
Applications of Derivative. This type asked 4 times: 15 May 2023 S2, 10 May 2024 S1, 22 Apr 2025 S2, 16 Apr 2026 S2. This one: 16 Apr 2026 S2 See all 4 of this type
74 $125\pi$
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Question 3
Linear Programming. This type asked 4 times: May 2021 S1, 15 May 2023 S1, 25 Apr 2025 S1, 16 Apr 2026 S1. This one: 16 Apr 2026 S1 See all 4 of this type
95 $y - 2x \le 4, x + y \ge 5, x \le 4, y \ge 2, x, y \ge 0$
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Question 4
Probability Distribution. This type asked 4 times: 10 May 2024 S1, 10 May 2024 S2, 14 May 2024 S1, 16 Apr 2026 S1. This one: 16 Apr 2026 S1 See all 4 of this type
97 $Three ships A, B, C sail from England to India. If the odds in favour of their safe arrival are 2:5, 3:7 and 6:11 respectively, then the probability that the exactly two ships arrive safely is$
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Question 5
Differential Equations. This type asked 4 times: 10 May 2023 S2, 9 May 2024 S1, 13 Apr 2026 S1, 15 Apr 2026 S2. This one: 15 Apr 2026 S2 See all 4 of this type
77 $A spherical mothball has initial radius 3 cm. Due to evaporation, the radius of the ball reduces to 1 cm in 4 months. In how many months would the mothball evaporate completely if the volume is lost at a rate proportional to the surface area ?$
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Question 1

Question 2

Question 3

Question 4

Question 5