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Directions (11-15): What should come in place of question mark (?) in the following number series?
 16, 37, 62, 96, 146, ?
  • a)
    229
  • b)
    217
  • c)
    221
  • d)
    213
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
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Directions (11-15): What should come in place of question mark (?) in ...

Pattern Analysis:
The given number series is increasing with a certain pattern. Let's analyze the pattern to determine the missing number.

Step-by-Step Analysis:
- The difference between 16 and 37 is 21.
- The difference between 37 and 62 is 25.
- The difference between 62 and 96 is 34.
- The difference between 96 and 146 is 50.

Identifying the Pattern:
By observing the differences between consecutive numbers, we can see that the differences are increasing by consecutive odd numbers: 21, 25, 34, 50, ...

Applying the Pattern:
To find the next number in the series, we need to add the next odd number (consecutive to 50) to the last number in the series (146).

Calculating the Missing Number:
146 + 65 = 211

Therefore, the missing number in the series is 211.

Final Answer:
The missing number in the series 16, 37, 62, 96, 146, ? is 211.
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Directions (11-15): What should come in place of question mark (?) in the following number series?16, 37, 62, 96, 146, ?a)229b)217c)221d)213e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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