Number Series, Coding and DecodingMCQPYQ Jan 21Question 2090 of 217
All Questions

In a certain Code Language BEAT is written as YYZG, then what will be Code for MILD?

Options

AONRW
BNOWR
CONQWR
DNROW
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Correct Answer

✅ Option d — NROW

All Options:

  • AONRW
  • BNOWR
  • CONQWR
  • DNROW

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Detailed Solution & Explanation

To find the code for the word **MILD** based on the coding of **BEAT** as **YYZG** (corrected to **YVZG**):

Let us first identify a typographical error in the question statement:
- The letter **E** in **BEAT** is coded as **Y** in **YYZG**. This is a duplication typo. The intended code was **YVZG**, where each letter is replaced by its opposite letter in the alphabet (whose alphabetical positions sum to 27\displaystyle 27):
- B (2)→27−2=25  ⟹  Y\displaystyle B\ (2) \to 27 - 2 = 25 \implies Y
- E (5)→27−5=22  ⟹  V\displaystyle E\ (5) \to 27 - 5 = 22 \implies V (printed as Y\displaystyle Y by typo)
- A (1)→27−1=26  ⟹  Z\displaystyle A\ (1) \to 27 - 1 = 26 \implies Z
- T (20)→27−20=7  ⟹  G\displaystyle T\ (20) \to 27 - 20 = 7 \implies G

This confirms the **opposite-letter rule** (where the alphabetical position of a letter and its code letter sum to 27\displaystyle 27). We apply this exact same rule to the word **MILD**:
- M (13)→27−13=14  ⟹  N\displaystyle M\ (13) \to 27 - 13 = 14 \implies \mathbf{N}
- I (9)→27−9=18  ⟹  R\displaystyle I\ (9) \to 27 - 9 = 18 \implies \mathbf{R}
- L (12)→27−12=15  ⟹  O\displaystyle L\ (12) \to 27 - 12 = 15 \implies \mathbf{O}
- D (4)→27−4=23  ⟹  W\displaystyle D\ (4) \to 27 - 4 = 23 \implies \mathbf{W}

Putting the letters in order, the correct code for **MILD** is **NROW**, which corresponds to **Option D**.

*Note on Answer Key Discrepancy:* The textbook answer key lists **Option C** (ONQWR\displaystyle ONQWR) as correct. However, ONQWR\displaystyle ONQWR is a 5-letter word, which makes it mathematically impossible to be a letter-for-letter substitution code for the 4-letter word MILD\displaystyle MILD. Furthermore, it has no logical or alphabetical relationship to the sequence. The selection of Option C in the answer key is a clear typographical compilation error, and the mathematically correct option is **Option D** (NROW\displaystyle NROW).

Hence, **Option D** 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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