Select the number from among the given options that can replace the question…
2024
Select the number from among the given options that can replace the question mark (?) in the following series.
99, 123, 150, 180, 213, ?
- A.
259
- B.
258
- C.
248
- D.
249
Attempted by 48 students.
Show answer & explanation
Correct answer: D
Step-by-Step Analysis
Calculate the differences:
123 - 99 = 24
150 - 123 = 27
180 - 150 = 30
213 - 180 = 33
Identify the pattern:
The differences are 24, 27, 30, and 33. These are consecutive multiples of 3, increasing by 3 each time.
Determine the next difference:
Since the last difference was 33, the next increment must be 33 + 3 = 36.
Find the missing term:
213 + 36 = 249