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Direction: What should come in place of question mark (?) in the following number series? 101, 204, 309, 416, 525, 636, ?Options640749662736700

Question

Direction: What should come in place of question mark (?) in the following number series? 101, 204, 309, 416, 525, 636, ?Options640749662736700

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Solution

The pattern in the series is as follows:

  • 101 = 100 + 1
  • 204 = 200 + 4
  • 309 = 300 + 9
  • 416 = 400 + 16
  • 525 = 500 + 25
  • 636 = 600 + 36

The pattern is that the first three digits are a multiple of 100, and the last two digits are the square of the number of hundreds.

So, for the next number in the series:

  • The first three digits should be 700 (as it's the next multiple of 100).
  • The last two digits should be the square of 7 (as 7 is the number of hundreds), which is 49.

Therefore, the next number in the series should be 700 + 49 = 749. So, the correct option is 749.

This problem has been solved

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