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Examoogle • User • info@examoogle.com • EE-2024-8821
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Which of the following options should come in place of the question mark (?) in the given series to make it logically complete? 512, 489, 443, 374, 282,?
167
178
185
190
167
Check the differences between consecutive numbers; they grow by a fixed amount (23), so extend the pattern.
Check the differences between consecutive numbers; they grow by a fixed amount (23), so extend the pattern.
Find first‑order differences
512‑489=23, 489‑443=46, 443‑374=69, 374‑282=92
Observe second‑order pattern
Each difference increases by 23 (46‑23=23, 69‑46=23, 92‑69=23)
Compute next difference and term
Next difference = 92+23=115; next term = 282‑115=167
B: 178 does not follow the 23‑increment rule; C: 185 is too high; D: 190 is also inconsistent with the derived next term.
A is correct because the successive differences increase by 23, giving the next term 282‑115=167.
In series questions, always test both first‑order and second‑order differences; a constant second difference indicates a quadratic pattern.