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What should come in place of question ma...

What should come in place of question mark (?) in the following number series.
22 19.7 24.3 17.4 ? 15.1

A

33.1

B

28.5

C

26.6

D

32.7

Text Solution

AI Generated Solution

The correct Answer is:
To solve the number series: 22, 19.7, 24.3, 17.4, ?, 15.1, we can identify two separate patterns: one increasing and one decreasing. ### Step-by-step Solution: 1. **Identify the two series**: - The first series consists of the numbers at the 1st, 3rd, and 5th positions: 22, 24.3, and ?. - The second series consists of the numbers at the 2nd, 4th, and 6th positions: 19.7, 17.4, and 15.1. 2. **Analyze the increasing series**: - The first number is 22 and the next number is 24.3. - To find the difference: \[ 24.3 - 22 = 2.3 \] - This means we are adding 2.3 to 22 to get 24.3. 3. **Analyze the decreasing series**: - The first number is 19.7 and the next number is 17.4. - To find the difference: \[ 19.7 - 17.4 = 2.3 \] - This means we are subtracting 2.3 from 19.7 to get 17.4. 4. **Continue the decreasing series**: - The next number in this series is 17.4 and the next number is 15.1. - To find the difference: \[ 17.4 - 15.1 = 2.3 \] - This confirms that we are consistently subtracting 2.3. 5. **Find the missing number**: - Since we are adding 2.3 to 24.3 to find the next number in the increasing series: \[ ? = 24.3 + 2.3 = 26.6 \] 6. **Conclusion**: - The number that should come in place of the question mark (?) is 26.6. ### Final Answer: The answer is 26.6.
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