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

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

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

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

Number Series, Coding and DecodingMCQMTP Nov 21Question 2054 of 217

All Questions

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

Options

\displaystyle 15

\displaystyle 25

\displaystyle 19

Dnone of these

For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option b — $\displaystyle 25$

All Options:

A $\displaystyle 15$
B $\displaystyle 25$
C $\displaystyle 19$
Dnone of these

Detailed Solution & Explanation

We are given the series:

\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):**
-

\displaystyle 7, 13, 19, ?

- Differences:

\displaystyle 13 - 7 = 6

\displaystyle 19 - 13 = 6

.
- This is an arithmetic progression with a common difference of

\displaystyle +6

.
- The next term (at the 7th position) must be

\displaystyle 19 + 6 = 25

.
2. **Even-positioned terms (2nd, 4th, 6th):**
-

\displaystyle 13, 14, 15

- This is an arithmetic progression with a common difference of

\displaystyle +1

(

\displaystyle 13 \to 14 \to 15

).
Thus, the next term (7th term) is indeed

\displaystyle 25

.
Hence, **Option B** is the correct answer.

About This Chapter: Number Series, Coding and Decoding

Paper

Paper 3: Quantitative Aptitude

Weightage

5 Marks

Key Topics

Number series, Coding & Decoding, Odd man out

This chapter covers Number series, Coding & Decoding, Odd man out and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 5 Marks weightage. Focus on understanding core concepts rather than memorizing.

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