Check the below NCERT MCQ Questions for Class 10 Maths Chapter 5 Arithmetic Progressions with Answers Pdf free download. MCQ Questions for Class 10 Maths with Answers were prepared based on the latest exam pattern. We have provided Arithmetic Progressions Class 10 Maths MCQs Questions with Answers to help students understand the concept very well.
Students can also refer to NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions for better exam preparation and score more marks.
Arithmetic Progressions Class 10 MCQs Questions with Answers
Question 1.
The sum of the first 15 multiples of 8 is
(a) 920
(b) 860
(c) 900
(d) 960
Answer
Answer: (d) 960
Question 2.
Next term of the AP √2, 3√2, 5√2, ……. is
(a) 2√7
(6) 6√2
(c) 9√2
(d) 7√2
Answer
Answer: (d) 7√2
Question 3.
First four terms of the sequence an = 2n + 3 are
(a) 3, 5, 7, 9
(b) 5, 7, 9, 11
(c) 5, 8, 11, 14
(d) 1, 3, 5, 7
Answer
Answer: (b) 5, 7, 9, 11
Question 4.
20th term of the AP -5, -3, -1, 1, is
(a) 33
(b) 30
(c) 20
(d) 25
Answer
Answer: (a) 33
Question 5.
If nth term of an AP is 7 – 4n, then its common difference is
(a) 4
(b) -4
(c) 3
(d) 11
Answer
Answer: (d) 11
Question 6.
If the sum of first n terms of an AP is An + Bn² where A and B are constants. The common difference of AP will be
(a) A + B
(b) A – B
(c) 2A
(d) 2B
Answer
Answer: (d) 2B
Question 7.
The 10th term of the sequence √3, \(\sqrt{12}\), \(\sqrt{27}\); …… is
(a) \(\sqrt{243}\)
(b) \(\sqrt{300}\)
(c) \(\sqrt{363}\)
(d) 432
Answer
Answer: (b) \(\sqrt{300}\)
Question 8.
Sum of n terms of the series
√2 + √8 + \(\sqrt{18}\) + \(\sqrt{32}\) + …… is
(a) \(\frac{n(n+2)}{√2}\)
(b) √2 n(n+1)
(c) \(\frac{n(n+1)}{√2}\)
(d) 1
Answer
Answer: (c) \(\frac{n(n+1)}{√2}\)
Question 9.
If p – 1, p + 3, 3p – 1 are in AP, then p is equal to
(a) 4
(b) -4
(c) 2
(d) -2
Answer
Answer: (a) 4
Question 10.
The sum of the first 2n terms of the AP: 2, 5, 8, …. is equal to sum of the first n terms of the AP: 57, 59, 61, … then n is equal to.
(a) 10
(b) 11
(c) 12
(d) 13
Answer
Answer: (b) 11
Question 11.
If the sum of the first m terms of an AP is n and the sum of its n terms is m, then the sum of its (m + n) terms will be
(a) m + n
(b) -(m + n)
(c) m – n
(d) 0
Answer
Answer: (b) -(m + n)
Question 12.
If nth term of an AP is given by fn = 3n + 4, find the common difference of the AP
(a) 3
(b) 2
(c) 4
(d) 7
Answer
Answer: (a) 3
Question 13.
The sum of first ten natural number is
(a) 55
(b)155
(c) 65
(d) 110
Answer
Answer: (a) 55
Question 14.
Find the 15th term of an AP -2, -5, -8, ….
(a) 70
(b) -44
(c) 72
(d) 64
Answer
Answer: (b) -44
Question 15.
The 6th term from the end of the AP: 5, 2, -1, -4, …., -31, is
(a) -25
(b) -22
(c) -19
(d) -16
Answer
Answer: (d) -16
Question 16.
Which term of the AP: 27, 24, 21, ……… is zero?
(a) 8th
(b) 10th
(c) 9th
(d) 11th
Answer
Answer: (b) 10th
Question 17.
The sum of first n terms of the series a, 3a, 5a, …….. is
(a) na
(b) (2n – 1) a
(c) n²a
(d) n²a²
Answer
Answer: (c) n²a
Question 18.
37th term of the AP: √x, 3√x, 5√x, …….. is
(a) 37 √x
(b) 39 √x
(c) 73 √x
(d) 75 √x
Answer
Answer: (c) 73 √x
Question 19.
Which term of the AP: 92, 88, 84, 80 … is 0?
(a) 23
(b) 32
(c) 22
(d) 24
Answer
Answer: (d) 24
Question 20.
The common difference of the AP … -4, -2, 0, 2, …. is
(a) 2
(b) -2
(c) \(\frac{1}{2}\)
(d) –\(\frac{1}{2}\)
Answer
Answer: (a) 2
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