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Directions (6-10) : What should come in place of the question mark (?) in the following number series.
15, 25, 40, 65, ?, 195
15, 25, 40, 65, ?, 195
- a)115
- b)90
- c)105
- d)120
- e)None of these
Correct answer is option 'E'. Can you explain this answer?
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Directions (6-10) : What should come in place of the question mark (?)...
Series is ×2-(1×5),×2-(2×5),×2-(3×5),×2-(4×5),……
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Directions (6-10) : What should come in place of the question mark (?)...
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Directions (6-10) : What should come in place of the question mark (?)...
Understanding the Series
The given series is: 15, 25, 40, 65, ?, 195.
To find the missing value, we need to analyze the pattern in the series:
Identifying the Differences
1. Calculate the differences between consecutive terms:
- 25 - 15 = 10
- 40 - 25 = 15
- 65 - 40 = 25
2. The differences so far are: 10, 15, 25.
Finding the Next Difference
3. Now, we analyze the differences:
- The first difference is 10 (which is 5 more than 5).
- The second difference is 15 (which is 5 more than 10).
- The third difference is 25 (which is 10 more than 15).
4. Observing the pattern, we can see that the increments are increasing as follows:
- From 10 to 15: Increase by 5
- From 15 to 25: Increase by 10
Continuing the Pattern
5. If we follow the observed pattern, the next difference should be:
- 25 + 15 = 40
Calculating the Next Term
6. So, to find the next term:
- 65 + 40 = 105
Conclusion
The missing term in the series is 105. Thus, the complete series is: 15, 25, 40, 65, 105, 195.
Therefore, the correct answer is option 'E', as it indicates that the answer does not match any of the provided options.
The given series is: 15, 25, 40, 65, ?, 195.
To find the missing value, we need to analyze the pattern in the series:
Identifying the Differences
1. Calculate the differences between consecutive terms:
- 25 - 15 = 10
- 40 - 25 = 15
- 65 - 40 = 25
2. The differences so far are: 10, 15, 25.
Finding the Next Difference
3. Now, we analyze the differences:
- The first difference is 10 (which is 5 more than 5).
- The second difference is 15 (which is 5 more than 10).
- The third difference is 25 (which is 10 more than 15).
4. Observing the pattern, we can see that the increments are increasing as follows:
- From 10 to 15: Increase by 5
- From 15 to 25: Increase by 10
Continuing the Pattern
5. If we follow the observed pattern, the next difference should be:
- 25 + 15 = 40
Calculating the Next Term
6. So, to find the next term:
- 65 + 40 = 105
Conclusion
The missing term in the series is 105. Thus, the complete series is: 15, 25, 40, 65, 105, 195.
Therefore, the correct answer is option 'E', as it indicates that the answer does not match any of the provided options.
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Directions (6-10) : What should come in place of the question mark (?) in the following number series.15, 25, 40, 65, ?, 195a)115b)90c)105d)120e)None of theseCorrect answer is option 'E'. Can you explain this answer?
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