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What will come in place of the question ...

What will come in place of the question mark (?) in each of the following number series?
11 16 23 32 43 ?

A

66

B

64

C

52

D

56

Text Solution

AI Generated Solution

The correct Answer is:
To find the missing number in the series 11, 16, 23, 32, 43, ?, we can analyze the differences between consecutive numbers. 1. **Identify the series**: The series given is: 11, 16, 23, 32, 43, ? 2. **Calculate the differences**: - Difference between 16 and 11: \( 16 - 11 = 5 \) - Difference between 23 and 16: \( 23 - 16 = 7 \) - Difference between 32 and 23: \( 32 - 23 = 9 \) - Difference between 43 and 32: \( 43 - 32 = 11 \) So, the differences we have are: 5, 7, 9, 11. 3. **Identify the pattern in the differences**: The differences are increasing by 2 each time: - 5 (first difference) - 7 (5 + 2) - 9 (7 + 2) - 11 (9 + 2) 4. **Find the next difference**: The next difference should be: \( 11 + 2 = 13 \) 5. **Calculate the next number in the series**: Now, add this difference to the last number in the series: \( 43 + 13 = 56 \) Thus, the missing number in the series is **56**. ### Final Answer: The number that will come in place of the question mark (?) is **56**.
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