MHT CET PYQs for Sequence and series with Solutions: Practice MHT CET Previous Year Questions

Educational Content Expert | Updated on - Nov 26, 2025

Sequence and series is an important topic in the Mathematics section in MHT CET exam. Practising this topic will increase your score overall and make your conceptual grip on MHT CET exam stronger.

This article gives you a full set of MHT CET PYQs for Sequence and series with explanations for effective preparation. Practice of MHT CET Mathematics PYQs including Sequence and series questions regularly will improve accuracy, speed, and confidence in the MHT CET 2026 exam.

MHT CET PYQs for Sequence and series with Solutions

1.
What is the sum of the measures of the angles ∠A, ∠B, ∠C, ∠D, ∠E, and ∠F in the given figure?
- (A) 180°
- (B) 360°
- (C) 540°
- (D) 720°
View Solution
2.
The value of $k$ which makes $f (x) = {\begin{cases} \sin x, x \neq 0 \\ k, x = 0 \end{cases}$ continuous at $x = 0$ , is:
- (A) $2$
- (B) $1$
- (C) $- 1$
- (D) $0$
View Solution
3.
If the sum of the first $ n $ terms of an arithmetic progression (AP) is given by $ S_n = 3n^2 + 2n $, find the 4th term of the AP.
- 20
- 18
- 15
- 12
View Solution
4.
Let $\vec{a} = a_{1} \hat{i} + a_{2} \hat{j} + a_{3} \hat{k}, \vec{b} = b_{1} \hat{i} + b_{2} \hat{j} + b_{3} \hat{k}$ be three non-zero vectors such that $\vec{c}$ is a vector perpendicular to both $\vec{a}$ and $\vec{b}$ . If the angle between $\vec{a}$ and $\vec{b}$ is $\frac{π}{6}$ then $| \begin{array}{lll} a_{1} & b_{1} & c_{1} \\ a_{2} & b_{2} & c_{2} \\ a_{3} & b_{3} & c_{3} \end{array} | = ?$
- (A) 0
- (B) 1
- (C) $\frac{1}{4} (a_{1}^{2} + a_{2}^{2} + a_{3}^{2}) (b_{1}^{2} + b_{2}^{2} + b_{3}^{2})$
- (D) $\frac{3}{4} (a_{1}^{2} + a_{2}^{2} + a_{3}^{2}) (b_{1}^{2} + b_{2}^{2} + b_{3}^{2}) (c_{1}^{2} + c_{2}^{2} + c_{3}^{2})$
View Solution
5.
There are 20 cricket players, out of which 5 players can bowl. In how many ways can a team of 11 players be selected so, to include 4 bowlers?
- (A) $^{5} C_{4} \times^{15} C_{7}$
- (B) $^{5} C_{3} \times^{15} C_{8}$
- (C) $^{5} C_{5} \times^{15} C_{6}$
- (D) $^{5} C_{2} \times^{15} C_{9}$
View Solution
6.
What is $\int_{0}^{a} \frac{f (a - x)}{f (x) + f (a - x)} d x$ equal to?
- (A) a
- (B) 2a
- (C) 0
- (D) $\frac{a}{2}$
View Solution
7.
The point of intersection of diagonals of a square ABCD is at the origin and one of its vertices is at A(4, 2). What is the equation of the diagonal BD?
- (A) 2x + y = 0
- (B) 2x - y = 0
- (C) x + 2y = 0
- (D) x - 2y = 0
View Solution
8.
In a binomial distribution, the mean is $\frac{2}{3}$ and variance is $\frac{5}{9}$ . What is the probability that random variable $D = 2 ?$
- (A) $\frac{5}{36}$
- (B) $\frac{25}{36}$
- (C) $\frac{25}{54}$
- (D) $\frac{25}{216}$
View Solution

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MHT CET PYQs for Sequence and series with Solutions: Practice MHT CET Previous Year Questions

MHT CET PYQs for Sequence and series with Solutions

1.
What is the sum of the measures of the angles ∠A, ∠B, ∠C, ∠D, ∠E, and ∠F in the given figure?

2.
The value of $k$ which makes $f (x) = {\begin{cases} \sin x, x \neq 0 \\ k, x = 0 \end{cases}$ continuous at $x = 0$ , is:

3.
If the sum of the first \( n \) terms of an arithmetic progression (AP) is given by \( S_n = 3n^2 + 2n \), find the 4th term of the AP.

5.
There are 20 cricket players, out of which 5 players can bowl. In how many ways can a team of 11 players be selected so, to include 4 bowlers?

6.
What is $\int_{0}^{a} \frac{f (a - x)}{f (x) + f (a - x)} d x$ equal to?

7.
The point of intersection of diagonals of a square ABCD is at the origin and one of its vertices is at A(4, 2). What is the equation of the diagonal BD?

8.
In a binomial distribution, the mean is $\frac{2}{3}$ and variance is $\frac{5}{9}$ . What is the probability that random variable $D = 2 ?$

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MHT CET PYQs for Sequence and series with Solutions

1.What is the sum of the measures of the angles ∠A, ∠B, ∠C, ∠D, ∠E, and ∠F in the given figure?

2.The value of k which makes f(x)={sin⁡x,x≠0k,x=0 continuous at x=0, is:

3.If the sum of the first \( n \) terms of an arithmetic progression (AP) is given by \( S_n = 3n^2 + 2n \), find the 4th term of the AP.

4.Let a→=a1i^+a2j^+a3k^, b→=b1i^+b2j^+b3k^ be three non-zero vectors such that c→ is a vector perpendicular to both a→ and b→. If the angle between a→ and b→ is π6 then |a1b1c1a2b2c2a3b3c3|=?

5.There are 20 cricket players, out of which 5 players can bowl. In how many ways can a team of 11 players be selected so, to include 4 bowlers?

6.What is ∫0af(a−x)f(x)+f(a−x)dx equal to?

7.The point of intersection of diagonals of a square ABCD is at the origin and one of its vertices is at A(4, 2). What is the equation of the diagonal BD?

8.In a binomial distribution, the mean is 23 and variance is 59. What is the probability that random variable D=2?

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1.
What is the sum of the measures of the angles ∠A, ∠B, ∠C, ∠D, ∠E, and ∠F in the given figure?

2.
The value of $k$ which makes $f (x) = {\begin{cases} \sin x, x \neq 0 \\ k, x = 0 \end{cases}$ continuous at $x = 0$ , is:

3.
If the sum of the first \( n \) terms of an arithmetic progression (AP) is given by \( S_n = 3n^2 + 2n \), find the 4th term of the AP.

5.
There are 20 cricket players, out of which 5 players can bowl. In how many ways can a team of 11 players be selected so, to include 4 bowlers?

6.
What is $\int_{0}^{a} \frac{f (a - x)}{f (x) + f (a - x)} d x$ equal to?

7.
The point of intersection of diagonals of a square ABCD is at the origin and one of its vertices is at A(4, 2). What is the equation of the diagonal BD?

8.
In a binomial distribution, the mean is $\frac{2}{3}$ and variance is $\frac{5}{9}$ . What is the probability that random variable $D = 2 ?$