Select the number from among the given options that can replace the question mark (?) in the following series:

242, 288, ?, 392, 450

Question

Select the number from among the given options that can replace the question mark (?) in the following series:

242, 288, ?, 392, 450

Accepted Answer

**Solution:**

1. Given series: 242, 288, ?, 392, 450

2. According to the logic, a double addition pattern is followed:
   - First addition: Consecutive multiples of 4 starting from 46 are added.
   - Second addition: 4 is added subsequently after each first addition.

3. Let's verify the pattern step-by-step:

- From 242 to 288:
     - First addition: +46 (which is 4 × 11.5, but we consider it as starting point)
     - Second addition: +4
     Total increase: 46 + 4 = 50

- From 288 to ?:
     - First addition: +50 (46 + 4)
     - Second addition: +4
     Total increase: 50 + 4 = 54

- From ? to 392:
     - First addition: +54 (50 + 4)
     - Second addition: +4
     Total increase: 54 + 4 = 58

4. Calculate the missing number:

- From 288 to ?:
     Increase = 50 + 4 = 54
     So, ? = 288 + 50 = 338

5. Check next step:

- From 338 to 392:
     Increase = 54 + 4 = 58
     338 + 54 = 392 (matches the series)

6. Hence, the missing number is **338**.

**Answer:** 338

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