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What will come in place of the question ...

What will come in place of the question mark (?) in the following number series.
113 120 106 127 99 ?

A

152

B

142

C

134

D

148

Text Solution

AI Generated Solution

The correct Answer is:
To find the missing number in the series 113, 120, 106, 127, 99, ?, we will analyze the pattern of differences between the numbers. 1. **Identify the series**: The given series is: - 113 - 120 - 106 - 127 - 99 - ? 2. **Calculate the differences**: - From 113 to 120: \(120 - 113 = 7\) (add 7) - From 120 to 106: \(106 - 120 = -14\) (subtract 14) - From 106 to 127: \(127 - 106 = 21\) (add 21) - From 127 to 99: \(99 - 127 = -28\) (subtract 28) 3. **List the differences**: - The differences are: +7, -14, +21, -28 4. **Identify the pattern in the differences**: - The pattern of differences is alternating between addition and subtraction: - First difference: +7 - Second difference: -14 - Third difference: +21 - Fourth difference: -28 - The absolute values of the differences are increasing by 7 each time: 7, 14, 21, 28. 5. **Predict the next difference**: - Following the pattern, the next difference should be +35 (since 28 + 7 = 35). 6. **Calculate the missing number**: - The last number we have is 99. We will add the next difference: - \(99 + 35 = 134\) 7. **Conclusion**: - Therefore, the missing number in the series is **134**. **Final Answer**: The number that comes in place of the question mark (?) is **134**.
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