Which of the following numbers will replace the question mark (?) in the given series?
287, 195, 286, 189, 284, 184, 281, 180, ?
- A197
- B177
- C277
- D265
Solution & Step-by-step Explanation
This is an alternating series consisting of two separate sub-series:
Sub-series 1 (odd positions): 287, 286, 284, 281, ?
287−1=286
286−2=284
284−3=281
Following the pattern, the next term should be 281−4=277.
Sub-series 2 (even positions): 195, 189, 184, 180
195−6=189
189−5=184
184−4=180
The question mark (?) falls at the 9th position, which belongs to Sub-series 1.
Therefore, the next number is 281−4=277.
Sub-series 1 (odd positions): 287, 286, 284, 281, ?
287−1=286
286−2=284
284−3=281
Following the pattern, the next term should be 281−4=277.
Sub-series 2 (even positions): 195, 189, 184, 180
195−6=189
189−5=184
184−4=180
The question mark (?) falls at the 9th position, which belongs to Sub-series 1.
Therefore, the next number is 281−4=277.