Number Series, Coding and DecodingMCQMTP Oct 21Question 2126 of 217
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In a certain code 'SOUTHERN' is written as 'UVPPTMQDG'. How is 'MARIGOLD' written in that code?

Options

AJSBCNFKS
BJSBNHFME
CJSBCNKF
DNBSKCJNF
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Correct Answer

Option aJSBCNFKS

All Options:

  • AJSBCNFKS
  • BJSBNHFME
  • CJSBCNKF
  • DNBSKCJNF

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Detailed Solution & Explanation

Let's first analyze the intended coding logic for SOUTHERNUVPTMQDG\displaystyle SOUTHERN \rightarrow UVPTMQDG (noting that the question contains a typo in the code as UVPPTMQDG\displaystyle UVPPTMQDG, which has 9\displaystyle 9 letters):
1. Split the 8\displaystyle 8-letter word SOUTHERN\displaystyle SOUTHERN into two halves of 4\displaystyle 4 letters each:
First Half=SOUT\displaystyle \text{First Half} = SOUT, Second Half=HERN\displaystyle \text{Second Half} = HERN

2. Process the First Half (SOUT\displaystyle SOUT):
- Reverse the order: TUOS\displaystyle TUOS
- Shift each letter forward by +1\displaystyle +1:
T (20)+1U (21)\displaystyle \text{T (20)} \xrightarrow{+1} \text{U (21)}
U (21)+1V (22)\displaystyle \text{U (21)} \xrightarrow{+1} \text{V (22)}
O (15)+1P (16)\displaystyle \text{O (15)} \xrightarrow{+1} \text{P (16)}
S (19)+1T (20)\displaystyle \text{S (19)} \xrightarrow{+1} \text{T (20)}
This gives the first half code: UVPT\displaystyle UVPT.

3. Process the Second Half (HERN\displaystyle HERN):
- Reverse the order: NREH\displaystyle NREH
- Shift each letter backward by 1\displaystyle -1:
N (14)1M (13)\displaystyle \text{N (14)} \xrightarrow{-1} \text{M (13)}
R (18)1Q (17)\displaystyle \text{R (18)} \xrightarrow{-1} \text{Q (17)}
E (5)1D (4)\displaystyle \text{E (5)} \xrightarrow{-1} \text{D (4)}
H (8)1G (7)\displaystyle \text{H (8)} \xrightarrow{-1} \text{G (7)}
This gives the second half code: MQDG\displaystyle MQDG.

4. Combine the two halves: UVPT+MQDG=UVPTMQDG\displaystyle UVPT + MQDG = UVPTMQDG. (In the question, this is misprinted as UVPPTMQDG\displaystyle UVPPTMQDG).

Now, let's apply this identical logic to the word MARIGOLD\displaystyle MARIGOLD:
1. Split MARIGOLD\displaystyle MARIGOLD into two halves of 4\displaystyle 4 letters:
First Half=MARI\displaystyle \text{First Half} = MARI, Second Half=GOLD\displaystyle \text{Second Half} = GOLD

2. Process the First Half (MARI\displaystyle MARI):
- Reverse the order: IRAM\displaystyle IRAM
- Shift each letter forward by +1\displaystyle +1:
I (9)+1J (10)\displaystyle \text{I (9)} \xrightarrow{+1} \text{J (10)}
R (18)+1S (19)\displaystyle \text{R (18)} \xrightarrow{+1} \text{S (19)}
A (1)+1B (2)\displaystyle \text{A (1)} \xrightarrow{+1} \text{B (2)}
M (13)+1N (14)\displaystyle \text{M (13)} \xrightarrow{+1} \text{N (14)}
This gives the first half code: JSBN\displaystyle JSBN.

3. Process the Second Half (GOLD\displaystyle GOLD):
- Reverse the order: DLOG\displaystyle DLOG
- Shift each letter backward by 1\displaystyle -1:
D (4)1C (3)\displaystyle \text{D (4)} \xrightarrow{-1} \text{C (3)}
L (12)1K (11)\displaystyle \text{L (12)} \xrightarrow{-1} \text{K (11)}
O (15)1N (14)\displaystyle \text{O (15)} \xrightarrow{-1} \text{N (14)}
G (7)1F (6)\displaystyle \text{G (7)} \xrightarrow{-1} \text{F (6)}
This gives the second half code: CKNF\displaystyle CKNF.

4. Combine the two halves:
Code=JSBN+CKNF=JSBNCKNF\text{Code} = JSBN + CKNF = JSBNCKNF

Note on Discrepancy: The mathematically correct code is JSBNCKNF\displaystyle JSBNCKNF. However, the official answer key marks Option A (JSBCNFKS\displaystyle JSBCNFKS) as the correct answer. This is due to a series of multiple typographical errors in both the question prompt (writing UVPPTMQDG\displaystyle UVPPTMQDG instead of UVPTMQDG\displaystyle UVPTMQDG) and the option choices (writing JSBCNFKS\displaystyle JSBCNFKS instead of JSBNCKNF\displaystyle JSBNCKNF). Since Option A is the official key, we follow the key while providing the correct logical derivation.

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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