Join 60,000+ competitive exam aspirants
or with email
Your Cart
Subtotal₹0
Total₹0
Examoogle • User • info@examoogle.com • EE-2024-8821
Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
Join 60,000+ competitive exam aspirants
What should come in place of ‘?’ in the given series? 6, 7, 11, 20, 36, 61, ?
97
105
95
110
97
Observe the differences between consecutive terms; they follow a sequence of perfect squares: 1, 4, 9, 16, 25, 36.
Observe the differences between consecutive terms; they follow a sequence of perfect squares: 1, 4, 9, 16, 25, 36.
Analyze the difference between terms
Calculate the difference between each consecutive pair: 7-6=1, 11-7=4, 20-11=9, 36-20=16, 61-36=25.
Identify the pattern of differences
The differences are 1, 4, 9, 16, 25, which are consecutive perfect squares: 1 squared, 2 squared, 3 squared, 4 squared, and 5 squared.
Calculate the next term
The next difference in the sequence should be 6 squared, which is 36. Adding this to the last term: 61 + 36 = 97.
B: 105 is incorrect as it assumes a difference of 44; C: 95 is incorrect as it assumes a difference of 34; D: 110 is incorrect as it assumes a difference of 49.
A is correct because the series follows the pattern of adding consecutive perfect squares (1, 4, 9, 16, 25, 36) to the preceding term, resulting in 61 + 36 = 97.
When a series grows rapidly but not exponentially, always check the difference of the differences or check if the differences are squares, cubes, or primes.
Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.
Free Download • 100K+ Aspirants