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What will come in place of question mark...

What will come in place of question mark (?) in the given number series?
7 6 10 27 ? 515

A

112

B

104

C

114

D

96

Text Solution

AI Generated Solution

The correct Answer is:
To solve the number series: 7, 6, 10, 27, ?, 515, we need to identify the pattern in the series. ### Step-by-Step Solution: 1. **Identify the first transition (from 7 to 6)**: - We start with 7. To get to 6, we can multiply 7 by 1 and then subtract 1. - Calculation: \( 7 \times 1 - 1 = 6 \) 2. **Identify the second transition (from 6 to 10)**: - Next, we take 6. We can multiply 6 by 2 and then subtract 2. - Calculation: \( 6 \times 2 - 2 = 10 \) 3. **Identify the third transition (from 10 to 27)**: - Now, we take 10. We multiply 10 by 3 and then subtract 3. - Calculation: \( 10 \times 3 - 3 = 27 \) 4. **Identify the fourth transition (from 27 to the unknown value)**: - Next, we take 27. We multiply 27 by 4 and then subtract 4. - Calculation: \( 27 \times 4 - 4 = 108 - 4 = 104 \) 5. **Identify the fifth transition (from the unknown value to 515)**: - Now, we take the unknown value (104). We multiply it by 5 and then subtract 5. - Calculation: \( 104 \times 5 - 5 = 520 - 5 = 515 \) Thus, the value that comes in place of the question mark (?) is **104**. ### Final Answer: 104
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