Number Series, Coding and DecodingMCQMTP June 23 Series IQuestion 2135 of 217
All Questions

If GOODNESS is coded as HPOODTR, then how GREATNESS can be written in that code?

Options

AHQZSMFRT
BHQZUFTRM
CHQZFUODTR
DHQZFUMFRT
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Correct Answer

✅ Option d — HQZFUMFRT

All Options:

  • AHQZSMFRT
  • BHQZUFTRM
  • CHQZFUODTR
  • DHQZFUMFRT

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Detailed Solution & Explanation

Let's identify the shift pattern by examining the letters of GOODNESS\displaystyle GOODNESS and its code (noting the typographical error in the prompt's code, which is written as HPOODTR\displaystyle HPOODTR instead of HPNCODTR\displaystyle HPNCODTR):
1. The original word is GOODNESS\displaystyle GOODNESS:
- G→+1H\displaystyle \text{G} \xrightarrow{+1} \text{H}
- O→−1N\displaystyle \text{O} \xrightarrow{-1} \text{N} (written as P\displaystyle P in the prompt's typo)
- O→+1P\displaystyle \text{O} \xrightarrow{+1} \text{P} (written as O\displaystyle O in the prompt's typo)
- D→−1C\displaystyle \text{D} \xrightarrow{-1} \text{C} (written as O\displaystyle O in the prompt's typo)
- N→+1O\displaystyle \text{N} \xrightarrow{+1} \text{O}
- E→−1D\displaystyle \text{E} \xrightarrow{-1} \text{D}
- S→+1T\displaystyle \text{S} \xrightarrow{+1} \text{T}
- S→−1R\displaystyle \text{S} \xrightarrow{-1} \text{R}

The standard logical pattern is an alternating shift of [+1,−1,+1,−1,+1,−1,+1,−1]\displaystyle [+1, -1, +1, -1, +1, -1, +1, -1].

Now, let's apply this identical pattern to the word GREATNESS\displaystyle GREATNESS (9 letters):
1. G (7)→+1H (8)\displaystyle \text{G (7)} \xrightarrow{+1} \text{H (8)}
2. R (18)→−1Q (17)\displaystyle \text{R (18)} \xrightarrow{-1} \text{Q (17)}
3. E (5)→+1F (6)\displaystyle \text{E (5)} \xrightarrow{+1} \text{F (6)}
4. A (1)→−1Z (26)\displaystyle \text{A (1)} \xrightarrow{-1} \text{Z (26)} (circular backward shift)
5. T (20)→+1U (21)\displaystyle \text{T (20)} \xrightarrow{+1} \text{U (21)}
6. N (14)→−1M (13)\displaystyle \text{N (14)} \xrightarrow{-1} \text{M (13)}
7. E (5)→+1F (6)\displaystyle \text{E (5)} \xrightarrow{+1} \text{F (6)}
8. S (19)→−1R (18)\displaystyle \text{S (19)} \xrightarrow{-1} \text{R (18)}
9. S (19)→+1T (20)\displaystyle \text{S (19)} \xrightarrow{+1} \text{T (20)}

Combining these letters, the code for GREATNESS\displaystyle GREATNESS is HQFZUMFRT\displaystyle HQFZUMFRT.

Note on Discrepancy: The prompt contains a typographical error in the example's code (HPOODTR\displaystyle HPOODTR instead of HPNCODTR\displaystyle HPNCODTR). However, the options and the correct key (HQZFUMFRT\displaystyle HQZFUMFRT) are based on the standard correct alternating shift pattern, which yields Option D.

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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