CBSE Class 10 Mathematics Arithmetic Progression MCQs Set 01

Practice MCQs for Class 10 Mathematics Chapter 05 Arithmetic Progressions

Access targeted multiple-choice questions for Chapter 05 Arithmetic Progressions designed to align with the latest CBSE academic syllabus for Class 10 Mathematics. These objective practice sets help students evaluate their conceptual understanding and improve exam readiness.

Access Chapter 05 Arithmetic Progressions Questions and Solutions

View or download the dedicated Chapter 05 Arithmetic Progressions MCQ resource below. Practicing these 50 objective questions regularly builds familiarity with standard exam patterns and helps secure higher marks in final Mathematics evaluations.

Question : The 10th term of the AP: 3, 10, 17,... is :
a) 56. 
b) 46. 
c) 17. 
d) 66.
 
Answer : D
 
Question : Riya saves Rs. 320 during the first year, Rs. 360 in the next year, Rs. 400 in the third year and so on. This way she will save a sum of Rs. 2000 in :
a) 5 years. 
b) 10 years. 
c) 15 years.
d) 20 years.
 
Answer : A

Question : The sum of first n natural numbers is
(a) ๐‘›/2
(b) ๐‘›+1/2
(c) ๐‘›(๐‘›+1)/2
(d) ๐‘›(๐‘›+1)(๐‘›+2)/2

Answer : C

Question : The 27th positive odd number is:
(a) 50
(b) 51
(c) 52
(d) 53

Answer : D

Question : The next term of the AP: โˆš8, โˆš18, โˆš32โ€ฆ.is
(a) 5โˆš2
(b) 5โˆš3
(c) 3โˆš3
(d) 3โˆš5

Answer : A

Question : If the first term of an AP is p and the common difference is q, its 10th term is
(a) p + 9q
(b) p + q
(c) p + 10q
(d) 9p + q

Answer : A

Question : The list of numbers -10, -6, -2, 2, โ€ฆ.is
(a) an AP with d = -16
(b) an AP with d = 4
(c) an AP with d = -4
(d) not an AP

Answer : B

Question : The common difference of an AP whose nth term is 3n+7
(a) 2
(b) 3
(c) 4
(d) 5

Answer : B

Question : The common difference of an AP is 5, then the value of a18 โ€“a13 is:
(a) 5
(b) 20
(c) 25
(d) 30

Answer : C

Question : If 18 , ๐‘Ž, b, โˆ’3 are in AP , then find ๐‘Ž+b
(a) 15
(b) 10
(c) 25
(d) - 15
Answer : A

Question : How many three- digit numbers are divisible by 7?
(a) 117
(b) 143
(c) 128
(d) 158
Answer : C

Question : If the nth term of an AP is (2๐‘›+1)then find the sum of its first three terms.
(a) 15
(b) 10
(c) 25
(d) - 15
Answer : A

Question : If 7th term of an AP is 34 and 13th term is 64 then 18th term is
(a) 89
(b) 87
(c) 90
(d) 88
Answer : A

Question : Write next terms of an AP โˆš2,โˆš8,โˆš18,โˆš32 ....
(a) โˆš40
(b) โˆš50
(c) โˆš64
(d) โˆš112
Answer : B

Question : If an A.P. if a= 4 n= 7 , d= 4 then an is
(a) 28
(b) 6
(c) 20
(d) 7
Answer : A

Question : The common difference of an AP is 8. Find the difference of its 20th and 15thterm
(a) 42
(b) 40
(c) 63
(d) 53
Answer : B

Question : The 21st term of an AP . whose first two terms are โ€“ 3 and 4 is
(a) 17
(b) 143
(c) 137
(d) 153
Answer : C

Question : In an A.P. if a = -7.2 d=3.6 an = 7.2 then n is
(a) 5
(b) 3
(c) 1
(d) 4
Answer : A

Question : If the common difference of an A.P. is 3, then find ๐‘Ž20โˆ’๐‘Ž15
(a) 15
(b) 13
(c) 25
(d) 35
Answer : A

Question : The term of the AP : 21, 18, 15, ... which is โ€“81 is
a) 37. 
b) 36. 
c) 35. 
d) 33.
 
Answer : C
 
Question : If the nth term of an AP is (7 โ€“ 4n), then its common difference is :
a) 7. 
b) 4.
c) โ€“3. 
d) -4.
 
Answer : D
 
Question : A student reading a 426-page book finds that he reads faster as he gets into the subject. He reads 19 pages on the first day, and his rate of reading then goes up by 3 pages each day. The number of days in which he will finish the book is :
a) 12 
b) 11 
c) 10 
d) 8
 
Answer : A
 
Question : The first negative term of A.P. 24, 21, 18, 15, .... is :
a) 9th term 
b) 10th term 
c) 11th term
d) 13th term
 
Answer : B
 
Question : The 17th term of an AP exceeds its 10th term by 7. The common difference is :
a) 10 
b) 7 
c) 2 
d) 1
 
Answer : D
 
Question : If five times the fifth term of an A.P. is equal to 8 times its eighth term, then its 13th term is :
a) 0 
b) 1 
c) 2 
d) 3
 
Answer : A
 
Question : The sum of all the three digit numbers, which leave the remainder 3 when divided by 5 is :
a) 99060. 
b) 99070. 
c) 99080. 
d) 99090.
 
Answer : D
 
Question : For an A.P. โ€“9, โ€“6, โ€“3 โ€ฆโ€ฆ if Sn = 66 then n is :Answer : B
a) โ€“4 
b) 11 
b) Both A & B 
d) None of these
 
Answer : B
 

Assertion Reasoning Questions Arithmetic Progression

Directions:
(a) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
(b) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
(c) If Assertion is correct but Reason is incorrect.
(d) If Assertion is incorrect but Reason is correct.

Question : Assertion: If numbers a,b,c are in A.P then b-a=c-b
reason: given three numbers are in AP, then the common difference will be same.
Answer : A

Question : Assertion : The sum of the series with the nth term, tn = (9 โ€“ 5n) is (465), when no. of terms n = 15.
Reason : Given series is in A.P. and sum of n terms of an A.P. is
Sn = n/2 [2a + (n - 1)d]

Answer : D

Question : Assertion: The 11 th term of an AP is 7,9,11,13_________is 67
Reason: if Sn is the sum of first n terms of an AP then its nth term an is given by an=Sn+Sn-1
Answer : D

Question : Assertion: Sum of fist n terms in an A.P. is given by the formula: Sn = n/2ร—[2a+(nโˆ’1) d]
Reason: Sum of first 15 terms of 2+5+8โ€”โ€”- is 345.
Answer : A

Question : Assertion: Sum of natural number from 1 to 100 is 5050
reason: Sum of n natural number is n(n+1)/2
Answer : A

 

Download Chapter MCQs: Class 10 Mathematics Chapter 05 Arithmetic Progressions

About Chapter 05 Arithmetic Progressions MCQs for Class 10 Mathematics

Review structured objective questions for Class 10 Mathematics Chapter 05 Arithmetic Progressions. Built according to official CBSE guidelines, these MCQ sets support daily revision and core concept reinforcement.

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FAQs

Where can I access latest CBSE Class 10 Mathematics Arithmetic Progression MCQs Set 01?

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Are Assertion-Reasoning and Case-Study MCQs included in the Mathematics Class 10 material?

Yes, our CBSE Class 10 Mathematics Arithmetic Progression MCQs Set 01 include the latest type of questions, such as Assertion-Reasoning and Case-based MCQs. 50% of the CBSE paper is now competency-based.

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