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.
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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 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: โ8, โ18, โ32โฆ.is
(a) 5โ2
(b) 5โ3
(c) 3โ3
(d) 3โ5
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, โฆ.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 โa13 is:
(a) 5
(b) 20
(c) 25
(d) 30
Answer : C
Question : If 18 , ๐, b, โ3 are in AP , then find ๐+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 โ2,โ8,โ18,โ32 ....
(a) โ40
(b) โ50
(c) โ64
(d) โ112
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 ๐20โ๐15
(a) 15
(b) 13
(c) 25
(d) 35
Answer : A
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+(nโ1) d]
Reason: Sum of first 15 terms of 2+5+8โโ- 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
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FAQs
You can get most exhaustive CBSE Class 10 Mathematics Arithmetic Progression MCQs Set 01 for free on StudiesToday.com. These MCQs for Class 10 Mathematics are updated for the 2026-27 academic session as per CBSE examination standards.
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.
By solving our CBSE Class 10 Mathematics Arithmetic Progression MCQs Set 01, Class 10 students can improve their accuracy and speed which is important as objective questions provide a chance to secure 100% marks in the Mathematics.
Yes, Mathematics MCQs for Class 10 have answer key and brief explanations to help students understand logic behind the correct option as its important for 2026 competency-focused CBSE exams.
Yes, you can also access online interactive tests for CBSE Class 10 Mathematics Arithmetic Progression MCQs Set 01 on StudiesToday.com as they provide instant answers and score to help you track your progress in Mathematics.