Find the missing number in the following series: 10, 100, 200, 310, ?

Question

Find the missing number in the following series:

10, 100, 200, 310, ?

1. A. 430 (Correct answer)
2. B. 420
3. C. 410
4. D. 440

Correct Answer

Option A — 430

Detailed Solution & Explanation

The correct answer is 430.

Key Points

• Examine the successive differences: 100 - 10 = 90, 200 - 100 = 100, 310 - 200 = 110.
• The differences themselves increase by a constant 10, so the next difference is 120.
• Therefore the missing term = 310 + 120 = 430.

Additional Information

• This is a second-order (or second-difference) series: the first differences form their own arithmetic progression.
• When a series does not yield an obvious pattern at first glance, computing the row of differences — and if necessary the differences of those — resolves most JKSSB series questions.