Question

Find out the next number in the series 97, 86, 73, 58, 45, (............):

• A. 54
• B. 56
• C. 34
• D. 55

Hint:

In number series, identify the pattern in the differences between terms, and check for alternations or progressions.

Answer 1

The Correct Option is B

The given series is: \( 97, 86, 73, 58, 45, \ldots \). 
Step 1: Observe the difference between consecutive terms: \[ 97 - 86 = 11, \quad 86 - 73 = 13, \quad 73 - 58 = 15, \quad 58 - 45 = 13 \] 
Step 2: The differences alternate between 11, 13, 15, and 13. If this pattern continues, the next difference should be 11. 
Step 3: Subtract 11 from the last term 45: \[ 45 - 11 = 34 \] Thus, the next number in the series is 34.