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What value will come in place of questio...

What value will come in place of question mark (?) in the number series given below ?
`"87656 83962 76574 ?"`

A

80166

B

81265

C

65492

D

80268

Text Solution

AI Generated Solution

The correct Answer is:
To find the missing number in the series: `87656, 83962, 76574, ?`, we will analyze the pattern between the numbers. ### Step-by-Step Solution: 1. **Identify the first number**: The first number in the series is `87656`. 2. **Identify the second number**: The second number in the series is `83962`. 3. **Find the difference between the first and second numbers**: \[ 87656 - 83962 = 3694 \] This means that the second number is derived from the first number by subtracting `3694`. 4. **Identify the third number**: The third number in the series is `76574`. 5. **Find the difference between the second and third numbers**: \[ 83962 - 76574 = 7368 \] This means that the third number is derived from the second number by subtracting `7368`. 6. **Identify the pattern in the differences**: - The first difference was `3694`. - The second difference is `7368`. - Notice that `7368` is `3694 + 3674` (the difference between the two differences). 7. **Calculate the next difference**: - If we follow the pattern, we can assume the next difference will be `7368 + 3674 = 11042`. 8. **Calculate the fourth number**: - We will subtract this new difference from the third number: \[ 76574 - 11042 = 65532 \] Thus, the missing number in the series is `65532`. ### Final Answer: The value that will come in place of the question mark (?) is **65532**.
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