Maths · Chapter 5
Progression (AP & GP) PYQs
A small chapter with a big habit: see the pattern, write one formula and finish the sum in one line.
AP: nth term and number of terms 3 PYQs
- A clerk notes the arithmetic sequence 7, 11, 15, … What is the 15th term of this sequence?Other exams 2026 · 16 Jan 2026
- If the 18th term of an A.P. is zero, then seven times the seventh term is ____ times the eleventh term.Other exams 2026 · 21 Jan 2026
- A factory produces cylindrical cans, and each day it slightly increases the size of the label printed on the cans to match a design upgrade. On the…SSC CHSL 2025 · 21 Nov 2025
Sum of an AP 6 PYQs
- The sum of the first 20 terms of an arithmetic progression (AP) is 210. If the first term is 3, what is the 20th term?Other exams 2026 · 20 Jan 2026
- 41 + 42 + 43 + … + 70 = ?SSC MTS 2025 · 12 Feb 2025
- 5 + 10 + 15 + 20 + … + 200 = ?SSC MTS 2025 · 17 Feb 2025
- 6 + 12 + 18 + 24 + … + 612 = ?SSC MTS 2025 · 11 Feb 2025
- What is the sum of all three-digit numbers divisible by 7?SSC Selection Post 2025 · 31 Jul 2025
- Calculate the sum of the series: 1 + 2 + 3 + … + 40 + 41 + 40 + … + 3 + 2 + 1.SSC CHSL 2025 · 20 Nov 2025
AP word problems: savings, salary, speed 3 PYQs
- A person decides to save money by depositing ₹100 in the first week of the year. Every following week, he increases his deposit by ₹20. How much…Other exams 2026 · 21 Jan 2026
- A bus starts moving with the initial speed of 22 km/hr. Its speed increases by 8 km/hr after every hour. How much time (in hours) will it take to…SSC GD 2026 · 07 May 2026
- A bus starts moving with the initial speed of 20 km/hr. Its speed increases by 10 km/hr after every hour. How much time (in hours) will it take to…SSC GD 2026 · 06 May 2026
GP: nth term, sum, infinite GP and geometric mean 2 PYQs
- A clerk records a geometric progression: 2, 6, 18, … What is the 6th term of this sequence?Other exams 2026 · 21 Jan 2026
- The sum of some terms of a G.P. is 12276. The common ratio is the least composite number and the first term is 12 times the smallest odd prime…Other exams 2026 · 20 Jan 2026
Special series: squares, cubes, patterns and cancelling fractions 4 PYQs
- The next term in the series 2, 8, 18, 32, … is:Other exams 2026 · 20 Jan 2026
- 1² + 2² + 3² + … + 25² = ?SSC MTS 2025 · 10 Feb 2025
- 1/15 + 1/35 + 1/63 + … + 1/195 = ?SSC MTS 2025 · 05 Feb 2025
- 11² + 12² + 13² + … + 45² = ?SSC MTS 2025 · 06 Feb 2025
Middle term, average and arithmetic mean 4 PYQs
- The radii of three concentric circles are in arithmetic progression. If the innermost radius is 7 cm and the outermost is 21 cm, what is the radius…SSC CGL 2025 · 25 Sep 2025
- 4 numbers are in arithmetic progression. Sum of first and last number of this progression is 64. What is the average of these 4 numbers?SSC CHSL 2025 · 29 Nov 2025
- Find the average of the first n odd natural numbers.SSC Selection Post 2025 · 26 Jul 2025
- Three concentric circles are designed as part of a target practice board. Their diameters form an arithmetic progression. If the smallest circle has…SSC CGL 2025 · 13 Sep 2025