A certain code "564" means "all the best", "736" means "best of luck" and "423" means "all is luck". Which of the following is the code for "luck"?
Options
A6
B4
C3
D7
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Number Series, Coding and DecodingPYQ May 25Question 4344 of 217
All Questions Correct Answer
✅ Option c — 3
All Options:
- A6
- B4
- C3
- D7
Detailed Solution & Explanation
We are given the following codes:
1. \"564\" means \"all the best\"
2. \"736\" means \"best of luck\"
3. \"423\" means \"all is luck\"
Let\'s find the code for \"luck\" by comparing these statements:
- Compare statement (2) and statement (3):
The common word is \"luck\".
The common digit in their respective codes (\"736\" and \"423\") is \"3\".
Therefore, the code for \"luck\" is \"3\".
For completeness, let\'s verify the other codes:
- Compare statement (1) and statement (2): the common word is \"best\" and the common digit is \"6\". So \"best\" is coded as \"6\".
- Compare statement (1) and statement (3): the common word is \"all\" and the common digit is \"4\". So \"all\" is coded as \"4\".
- From statement (3), \"all is luck\" has codes \"4\", \"2\", and \"3\". Since \"all\" is \"4\" and \"luck\" is \"3\", the remaining word \"is\" must be coded as \"2\".
- From statement (2), \"best of luck\" has codes \"7\", \"3\", and \"6\". Since \"best\" is \"6\" and \"luck\" is \"3\", the remaining word \"of\" must be coded as \"7\".
This is completely consistent.
Hence, **Option C** is the correct answer.
1. \"564\" means \"all the best\"
2. \"736\" means \"best of luck\"
3. \"423\" means \"all is luck\"
Let\'s find the code for \"luck\" by comparing these statements:
- Compare statement (2) and statement (3):
The common word is \"luck\".
The common digit in their respective codes (\"736\" and \"423\") is \"3\".
Therefore, the code for \"luck\" is \"3\".
For completeness, let\'s verify the other codes:
- Compare statement (1) and statement (2): the common word is \"best\" and the common digit is \"6\". So \"best\" is coded as \"6\".
- Compare statement (1) and statement (3): the common word is \"all\" and the common digit is \"4\". So \"all\" is coded as \"4\".
- From statement (3), \"all is luck\" has codes \"4\", \"2\", and \"3\". Since \"all\" is \"4\" and \"luck\" is \"3\", the remaining word \"is\" must be coded as \"2\".
- From statement (2), \"best of luck\" has codes \"7\", \"3\", and \"6\". Since \"best\" is \"6\" and \"luck\" is \"3\", the remaining word \"of\" must be coded as \"7\".
This is completely consistent.
Hence, **Option C** 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.
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