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What should come in place of question ma...

What should come in place of question mark in questions
10 11 15 24 40 ?

A

90

B

87

C

114

D

65

Text Solution

AI Generated Solution

The correct Answer is:
To solve the given sequence: 10, 11, 15, 24, 40, ?, we need to identify the pattern in the series. ### Step-by-Step Solution: 1. **Identify the Sequence**: The numbers in the sequence are: 10, 11, 15, 24, 40. 2. **Find the Differences**: - The difference between the first two numbers (11 - 10) is **1**. - The difference between the second and third numbers (15 - 11) is **4**. - The difference between the third and fourth numbers (24 - 15) is **9**. - The difference between the fourth and fifth numbers (40 - 24) is **16**. So, the differences are: 1, 4, 9, 16. 3. **Recognize the Pattern in Differences**: - The differences (1, 4, 9, 16) can be recognized as perfect squares: - 1 = 1² - 4 = 2² - 9 = 3² - 16 = 4² 4. **Predict the Next Difference**: - Following the pattern, the next difference should be 5², which is **25**. 5. **Calculate the Next Number**: - To find the next number in the sequence, we add the next difference (25) to the last number (40): - 40 + 25 = **65**. 6. **Conclusion**: - Therefore, the number that should come in place of the question mark is **65**. ### Final Answer: The answer is **65**.
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