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Which of the following numbers will replace the question mark (?) in the given series?
12, 17, 29, 55, 102, 177, ?
- a)288
- b)278
- c)287
- d)277
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Which of the following numbers will replace the question mark (?) in ...
The pattern followed here is as follows
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Value of '?' is 287.
Hence, 'option (c)' is the correct answer.
Most Upvoted Answer
Which of the following numbers will replace the question mark (?) in ...
The pattern followed here is as follows
Value of '?' is 287.
Hence, 'option (c)' is the correct answer.
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Which of the following numbers will replace the question mark (?) in ...
Series Analysis
To identify the pattern in the given series, let's look at the differences between consecutive numbers.
- The difference between 12 and 17 is 5.
- The difference between 17 and 29 is 12.
- The difference between 29 and 55 is 26.
- The difference between 55 and 102 is 47.
- The difference between 102 and 177 is 75.
Pattern Observation
Upon analyzing the differences, we can see that the differences are increasing by consecutive odd numbers: 5, 7, 9, 11, 13.
Finding the Next Number
To find the next number in the series, we need to add the next odd number, which is 15, to the last difference of 75.
- 177 + 75 + 15 = 267
Therefore, the next number in the series should be 267.
Verifying the Options
Among the given options, 287 is the closest number to 267. However, it is not the correct answer as per the pattern identified.
Therefore, the correct answer is option 287.
To identify the pattern in the given series, let's look at the differences between consecutive numbers.
- The difference between 12 and 17 is 5.
- The difference between 17 and 29 is 12.
- The difference between 29 and 55 is 26.
- The difference between 55 and 102 is 47.
- The difference between 102 and 177 is 75.
Pattern Observation
Upon analyzing the differences, we can see that the differences are increasing by consecutive odd numbers: 5, 7, 9, 11, 13.
Finding the Next Number
To find the next number in the series, we need to add the next odd number, which is 15, to the last difference of 75.
- 177 + 75 + 15 = 267
Therefore, the next number in the series should be 267.
Verifying the Options
Among the given options, 287 is the closest number to 267. However, it is not the correct answer as per the pattern identified.
Therefore, the correct answer is option 287.
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Which of the following numbers will replace the question mark (?) in the given series?12, 17, 29, 55, 102, 177, ?a)288b)278c)287d)277Correct answer is option 'C'. Can you explain this answer?
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