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
Select the number from among the given options that can replace the question mark (?) in the following series: 184, 242, 275, 333, 366, 424,?
464
457
426
478
457
Observe the alternating difference pattern: +58, +33, +58, +33, +58, followed by +33.
Observe the alternating difference pattern: +58, +33, +58, +33, +58, followed by +33.
Analyze consecutive differences
Calculate the difference between consecutive numbers: 242 - 184 = 58; 275 - 242 = 33; 333 - 275 = 58; 366 - 333 = 33; 424 - 366 = 58.
Identify the repeating sequence
The differences follow the repeating pattern of adding 58 then adding 33: +58, +33, +58, +33, +58. Therefore, the next step must be +33.
Calculate the final term
Apply the next difference in the sequence to the last given number: 424 + 33 = 457.
A: 464 is incorrect as it results from an invalid jump of 40; C: 426 is incorrect as it implies an addition of only 2; D: 478 is incorrect as it results from an invalid jump of 54.
B is correct because the series follows an alternating addition pattern of +58 and +33, and 424 + 33 equals 457.
In arithmetic series with fluctuating values, always calculate the differences between consecutive terms first to identify repeating cycles.
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