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Class 10 Mathematics — Chapter 5: Arithmetic Progressions

68 practice questions · 23 Easy · 25 Medium · 20 Hard

Free NCERT-aligned multiple-choice practice for Class 10 Mathematics, Chapter 5 (Arithmetic Progressions). Practise timed Easy, Medium and Hard quizzes with instant explanations — built for CBSE Board exams, JEE Main and NEET UG. Here are a few sample questions; sign in free to practise all 68.

Sample questions

Q1Easy

Common difference of the AP 5, 8, 11, 14, … is:

A.2
B.3✓ correct
C.5
D.−3
Why

d = 8 − 5 = 3.

Q2Medium

The sum of the first 20 natural numbers is:

A.190
B.200
C.210✓ correct
D.220
Why

Sₙ = n(n+1)/2 = 20 × 21 / 2 = 210.

Q3Hard

If the 5th term of an AP is 20 and the 9th term is 36, then the first term is:

A.0
B.2
C.4✓ correct
D.8
Why

a + 4d = 20, a + 8d = 36. Subtracting: 4d = 16 ⇒ d = 4. So a = 20 − 16 = 4.

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