Number Series, Coding, Odd Man OutMTP Nov 21Question 2054 of 217
All Questions

Which number should come next 7,13,13,14,19,15?\displaystyle 7, 13, 13, 14, 19, 15?

Options

A15\displaystyle 15
B25\displaystyle 25
C19\displaystyle 19
Dnone of these
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Correct Answer

✅ Option b — 25\displaystyle 25

All Options:

  • A15\displaystyle 15
  • B25\displaystyle 25
  • C19\displaystyle 19
  • Dnone of these

Detailed Solution & Explanation

We are given the series: 7,13,13,14,19,15,…\displaystyle 7, 13, 13, 14, 19, 15, \dots
Let's split this series into two interleaved sequences:
1. **Odd-positioned terms (1st, 3rd, 5th, 7th):**
- 7,13,19,?\displaystyle 7, 13, 19, ?
- Differences: 13−7=6\displaystyle 13 - 7 = 6, 19−13=6\displaystyle 19 - 13 = 6.
- This is an arithmetic progression with a common difference of +6\displaystyle +6.
- The next term (at the 7th position) must be 19+6=25\displaystyle 19 + 6 = 25.
2. **Even-positioned terms (2nd, 4th, 6th):**
- 13,14,15\displaystyle 13, 14, 15
- This is an arithmetic progression with a common difference of +1\displaystyle +1 (13→14→15\displaystyle 13 \to 14 \to 15).
Thus, the next term (7th term) is indeed 25\displaystyle 25.
Hence, **Option B** is the correct answer.

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