Number Series, Coding and DecodingMCQMTP June 22Question 2061 of 217
All Questions

Find next term of the letter series A, CD, GHI, UVWXY, ______.

Options

AMNOP
BMNO
CMNOPQ
DNOPQ
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Correct Answer

✅ Option a — MNOP

All Options:

  • AMNOP
  • BMNO
  • CMNOPQ
  • DNOPQ

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Detailed Solution & Explanation

To find the next term of the letter series A, CD, GHI, UVWXY, ______ (where the blank is the 4th term):

Let us analyze the number of letters in each term and the number of skipped letters between them:

1. **Length of each term:**
- 1st term (A\displaystyle A): 1 letter
- 2nd term (CD\displaystyle CD): 2 letters
- 3rd term (GHI\displaystyle GHI): 3 letters
- 4th term (missing): should have 4 letters
- 5th term (UVWXY\displaystyle UVWXY): has 5 letters
Thus, the missing term must have exactly **4 letters**.

2. **Number of letters skipped between consecutive terms:**
- Between 1st and 2nd term (A→CD\displaystyle A \to CD): We skip 1\displaystyle 1 letter (B\displaystyle B).
- Between 2nd and 3rd term (CD→GHI\displaystyle CD \to GHI): We skip 2\displaystyle 2 letters (E,F\displaystyle E, F).
- Between 3rd and 4th term (GHI→missing\displaystyle GHI \to \text{missing}): We must skip 3\displaystyle 3 letters (J,K,L\displaystyle J, K, L). Starting after L\displaystyle L, the next letter is M\displaystyle M. Since it must contain 4 letters, the term is MNOP\displaystyle MNOP.
- Between 4th and 5th term (MNOP→UVWXY\displaystyle MNOP \to UVWXY): We skip 4\displaystyle 4 letters (Q,R,S,T\displaystyle Q, R, S, T), which perfectly leads to the start of UVWXY\displaystyle UVWXY at U\displaystyle U.

This logical framework proves that the missing term is **MNOP** (4 letters), which corresponds to **Option A**.

*Note on Answer Key Discrepancy:* The textbook answer key lists **Option C** (MNOPQ\displaystyle MNOPQ) as correct. However, MNOPQ\displaystyle MNOPQ contains 5 letters, which violates the length progression (1, 2, 3, 4, 5) and leaves no letters to skip before UVWXY\displaystyle UVWXY (since Q\displaystyle Q is included, the next letters R,S,T\displaystyle R, S, T would only be 3 skipped letters instead of the required 4). Thus, the answer key's selection of Option C is a typographical error, and the correct logical answer is indeed **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 Syllabus

Exam Strategy Tip

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

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