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Select the number from among the given options that can replace the question mark (?) in the following series. 439, 503, 628, 844, ?
Question

Select the number from among the given options that can replace the question mark (?) in the following series.
439, 503, 628, 844, ?

A.

1817

B.

1187

C.

1893

D.

1983

Correct option is B

The series: 439, 503, 628, 844, ?,
Calculate the Differences
503 - 439 = 64
628 - 503 = 125
844 - 628 = 216
Observing the Pattern
The differences between terms appear to be following a pattern of increasing perfect cubes:
43 = 64
53 = 125
63 = 216
If this pattern continues, the next difference should be
73 = 343
Adding 343 to the last term in the series:
844+343=1187
Conclusion The number that fits the series is: (b) 1187

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