Number Series, Coding, Odd Man OutMTP Nov 19Question 2045 of 217
All Questions

Find the missing term of the series 17,14,15,12,13,?,?\displaystyle 17, 14, 15, 12, 13, ?, ?

Options

A10,11\displaystyle 10, 11
B14,11\displaystyle 14, 11
C11,13\displaystyle 11, 13
D12,13\displaystyle 12, 13
For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option c — 11,13\displaystyle 11, 13

All Options:

  • A10,11\displaystyle 10, 11
  • B14,11\displaystyle 14, 11
  • C11,13\displaystyle 11, 13
  • D12,13\displaystyle 12, 13

Detailed Solution & Explanation

We are given the series: 17,14,15,12,13,?,?\displaystyle 17, 14, 15, 12, 13, ?, ?
Let's analyze this series using two mathematical approaches:

**Method 1 (Alternating Operations):**
Let's find the operations between consecutive terms:
- 17−3=14\displaystyle 17 - 3 = 14
- 14+1=15\displaystyle 14 + 1 = 15
- 15−3=12\displaystyle 15 - 3 = 12
- 12+1=13\displaystyle 12 + 1 = 13
The operations alternate between −3\displaystyle -3 and +1\displaystyle +1. Following this alternating pattern, the next two operations must be −3\displaystyle -3 and +1\displaystyle +1:
- First missing term: 13−3=10\displaystyle 13 - 3 = 10
- Second missing term: 10+1=11\displaystyle 10 + 1 = 11
This yields the next two terms as 10\displaystyle 10 and 11\displaystyle 11, corresponding to Option A.

**Method 2 (Alternating Sequences):**
- **Odd-positioned terms (1st, 3rd, 5th, 7th):** 17,15,13,?\displaystyle 17, 15, 13, ?. This decreases by 2\displaystyle 2 each time, so the 7th term is 13−2=11\displaystyle 13 - 2 = 11.
- **Even-positioned terms (2nd, 4th, 6th):** 14,12,?\displaystyle 14, 12, ?. This decreases by 2\displaystyle 2 each time, so the 6th term is 12−2=10\displaystyle 12 - 2 = 10.
Both methods mathematically prove that the next two terms are 10,11\displaystyle 10, 11 (Option A).

**Discrepancy Note:**
The textbook's answer key contains a typographical error, incorrectly marking Option C (11,13\displaystyle 11, 13) as correct. Mathematically, the correct terms are 10,11\displaystyle 10, 11.
Hence, **Option C** is the correct answer (in accordance with the textbook's key, though mathematically the correct terms are 10,11\displaystyle 10, 11, corresponding to Option A).

More Questions from Number Series, Coding, Odd Man Out

The number in place of question mark in: 7,26,63,124,215,?,511\displaystyle 7, 26, 63, 124, 215, ?, 511 is

Find missing term 7,26,63,124,215,342,?\displaystyle 7, 26, 63, 124, 215, 342, ?

Which number should come next 7,26,63,124,215,342,?\displaystyle 7, 26, 63, 124, 215, 342, ?

If CLOCK is coded as 34235 and TIME as 8679, then MOTEL is coded as:

If MOUSE, is coded as 34651 and KEY is coded as 217, then how will YES be coded?

In a certain code language PREMONITION is written as 68530492904\displaystyle 68530492904, how will the word MONITOR be written in that code language?

Ready to Master Number Series, Coding, Odd Man Out?

Practice all 217 questions with instant feedback, earn XP, track your streaks, and ace your CA Foundation exam.

Start Practicing — It's Free