Sequences and Series

MHT-CET Maths. Try each one first, then open its answer.

Top 9 MHT-CET PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

Question 1
This type asked 2 times: 9 May 2024 S2, 21 Apr 2025 S2. This one: 21 Apr 2025 S2 See all 2 of this type
110 $\sqrt{\log_{3}x^{16}}+ 9\log_{27}\sqrt[3]{\frac{3}{x}}= 5$
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Question 2
Asked once: 9 May 2024 S2 (same type asked 2 times) See all 2 of this type
128 $\log_2 x + \log_4 x + \log_8 x + \log_{16} x = \dfrac{25}{36}$
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Question 3
Asked once: 12 May 2026 S2
51 $\log_{10}2 = 0.3010$
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Question 4
Asked once: 26 Apr 2025 S2
117 $p^{3}=q^{4}=r^{6}=t^{7}=s^{2}$
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Question 5
Asked once: 25 Apr 2025 S1
134 $\ ^{n}C_{0}+\frac{1}{2}\ ^{n}C_{1}+\frac{1}{3}\ ^{n}C_{2}+ .........\frac{1}{n}^{n}C_{n- 1}+\frac{1}{n+ 1}\ ^{n}C_{n}=\frac{1023}{10}$
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Question 6
Asked once: 22 Apr 2025 S2
144 $x + 2ay + a = 0,x + 3by + b = 0$
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Question 7
Asked once: 19 Apr 2025 S1
145 $x+\log_{15}\left( 5 +3^{x} \right)=x\log_{15}5 +\log_{15}24$
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Question 8
Asked once: 9 May 2024 S2
102 $\triangle PQR$
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Question 9
Asked once: 10 May 2023 S1
111 $S_1=\sum_{r=1}^n r,\;S_2=\sum_{r=1}^n r^2$
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