Question

Select the number from among the given options that can replace the question mark (?) in the following series: 3, 10, 24, ?, 73, 108

• A.
• B.
• C.
• D.

Hint:

In number series problems, identify the pattern in the differences between consecutive terms, and use it to find the missing number.

Answer 1

The Correct Option is C

The pattern in the series is as follows: The series is 3, 10, 24, ?, 73, 108. Analyzing the differences between consecutive terms reveals: 10 - 3 = 7 and 24 - 10 = 14. The differences are increasing by 7 each time (7, 14, 21, 28, 35). Therefore, the next difference should be 14 + 7 = 21. To find the missing number, we add this difference to the previous term: 24 + 21 = 45. Let's verify this with the subsequent terms: 45 + 28 = 73, and 73 + 35 = 108. The observed pattern is consistent. Thus, the missing number is 45. The correct answer is (C).