Day 360: MHT-CET Maths

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

Question 1
Mathematical Logic. Asked once: 11 May 2024 S2 (same type asked 14 times) See all 14 of this type
127 $(p\leftrightarrow\sim q)\to(\sim p\wedge q)$
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Question 2
Line and Plane. Asked once: 11 Apr 2026 S2 (same type asked 13 times) See all 13 of this type
95 $\dfrac{x - 1}{2} = \dfrac{y + 1}{3} = \dfrac{z - 1}{4}$
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Question 3
Definite Integration. Asked once: 25 Apr 2025 S2 (same type asked 13 times) See all 13 of this type
126 $\int_{\log\frac{1}{2}}^{\log2} \sin\left( \frac{e^{x}- 1}{e^{x}+ 1} \right)dx=$
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Question 4
Trigonometric Functions. Asked once: 13 May 2024 S2 (same type asked 12 times) See all 12 of this type
101 $\tan\!\left(\sin^{-1}\!\frac{3}{5}+\tan^{-1}\!\frac{2}{3}\right)$
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Question 5
Binomial Distribution. Asked once: 12 May 2024 S2 (same type asked 12 times) See all 12 of this type
124 $An irregular six faced die is thrown and the probability that, in 5 throws it will give 3 even numbers is twice the probability that it will give 2 even numbers. The number of times, in 6804 sets of 5 throws, you expect to give no even number is$
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Question 1