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What should come in place of question ma...

What should come in place of question mark in questions
25 35 49 67 89 ?

A

24

B

81

C

115

D

107

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of finding the missing number in the series: 25, 35, 49, 67, 89, ?, we can follow these steps: ### Step 1: Identify the differences between consecutive numbers - Calculate the difference between each pair of consecutive numbers: - 35 - 25 = 10 - 49 - 35 = 14 - 67 - 49 = 18 - 89 - 67 = 22 ### Step 2: List the differences - The differences we found are: - 10, 14, 18, 22 ### Step 3: Analyze the pattern in the differences - Now, observe the differences: - The difference between each consecutive difference: - 14 - 10 = 4 - 18 - 14 = 4 - 22 - 18 = 4 - This shows that the differences are increasing by 4 each time. ### Step 4: Determine the next difference - Since the last difference we calculated is 22, we add 4 to find the next difference: - 22 + 4 = 26 ### Step 5: Calculate the next number in the series - Now, we add this new difference (26) to the last number in the series (89): - 89 + 26 = 115 ### Conclusion - Therefore, the number that should come in place of the question mark is **115**.
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