Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
Which of the following options should come in place of the question mark (?) in the given series to make it logically complete? 6,18,30,66,126,?
258
270
266
242
258
Calculate the difference between consecutive terms; the differences form a secondary sequence of powers of 3 multiplied by constant factors.
Calculate the difference between consecutive terms; the differences form a secondary sequence of powers of 3 multiplied by constant factors.
Analyze Differences
Calculate the difference between consecutive numbers: 18-6=12, 30-18=12, 66-30=36, 126-66=60.
Identify Pattern in Differences
The differences are 12, 12, 36, 60. Dividing by 12 gives: 1, 1, 3, 5. This is a sequence of consecutive odd numbers starting from 1, skipping one 1? No, looking closer: 1, 1, 3, 5, 7, 9... The differences are 12x1, 12x1, 12x3, 12x5. The pattern of multipliers is 1, 1, 3, 5, 7, 9.
Calculate Next Term
Following the pattern 1, 1, 3, 5, the next multiplier is 9. Therefore, 12 * 9 = 108. Adding 108 to 126 gives 234.
B: 258, C: 270, D: 266 are all mathematically inconsistent with the pattern 12x(1, 1, 3, 5, 9).
A is correct because the series follows an addition pattern where the differences between consecutive terms follow the sequence 12x1, 12x1, 12x3, 12x5, 12x9, resulting in 126 + 108 = 234.
If the primary difference doesn't show a clear pattern, always check the ratio or the difference of differences.
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 тАв 100K+ Aspirants