Identify the sequence of letters and find out the missing number. AGM, DJP, HNT, ______.
Select Your Answer (Keyboard: A, B, C, D)
For any discrepancies in this question, email contact@cadada.in
Number Series, Coding and DecodingMCQMTP June 2023 Series IQuestion 2071 of 217
All Questions Correct Answer
✅ Option a — MSY
All Options:
- AMSY
- BNTZ
- CLRX
- DKOW
Detailed Solution & Explanation
To find the missing term of the letter series , let us convert each letter to its numerical position in the alphabet (where ):
Let us analyze the progression for each letter position separately:
1. **First Letter Progression:**
- Letters:
- Alphabetical positions:
- Let us check the differences between successive positions: and .
- The difference is increasing by at each step (). Thus, the next difference must be :
2. **Second Letter Progression:**
- Letters:
- Alphabetical positions:
- Let us check the differences between successive positions: $10 - 7 = +3\displaystyle and $14 - 10 = +4.
- Following the difference pattern, the next position is:
3. **Third Letter Progression:**
- Letters:
- Alphabetical positions: $13 16 20 ?\displaystyle <br>- Let us check the differences between successive positions: $16 - 13 = +3 and $20 - 16 = +4+3, +4, +5LRX$) as correct. However, $LRX$ does not satisfy the clear, consistent arithmetic progression $+3, +4, +5$ observed in each letter of the series. MSY is mathematically and logically the unique correct answer. This represents a typographical error in the official answer key, and the correct option is **Option A**.
Hence, **Option A** is the correct answer.
Let us analyze the progression for each letter position separately:
1. **First Letter Progression:**
- Letters:
- Alphabetical positions:
- Let us check the differences between successive positions: and .
- The difference is increasing by at each step (). Thus, the next difference must be :
2. **Second Letter Progression:**
- Letters:
- Alphabetical positions:
- Let us check the differences between successive positions: $10 - 7 = +3\displaystyle and $14 - 10 = +4.
- Following the difference pattern, the next position is:
3. **Third Letter Progression:**
- Letters:
- Alphabetical positions: $13 16 20 ?\displaystyle <br>- Let us check the differences between successive positions: $16 - 13 = +3 and $20 - 16 = +4+3, +4, +5LRX$) as correct. However, $LRX$ does not satisfy the clear, consistent arithmetic progression $+3, +4, +5$ observed in each letter of the series. MSY is mathematically and logically the unique correct answer. This represents a typographical error in the official answer key, and the correct option is **Option A**.
Hence, **Option A** 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 SyllabusExam Strategy Tip
This topic carries 5 Marks weightage. Focus on understanding core concepts rather than memorizing.
Related Comparison Tables
More Questions from Number Series, Coding and Decoding
The number in place of question mark in: $7, 26, 63, 124, 215, ?, 511$ is
Find missing term $7, 26, 63, 124, 215, 342, ?$
Which number should come next $7, 26, 63, 124, 215, 342, ?$
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 $68530492904$, how will the word MONITOR be written in that code language?
Ready to Master Number Series, Coding and Decoding?
Practice all 217 questions with instant feedback, earn XP, track your streaks, and ace your CA Foundation exam.
Start Practicing — It's Free