In a certain code language ‘617’ means ‘sweet and hot’, ‘735’ means ‘coffee is sweet’ and ‘263’ means ‘tea is hot’. Which of the following would mean ‘coffee is hot’?
- A731
- B536
- C367
- D753
Solution & Step-by-step Explanation
Let us find the unique digits for each word by comparison:
1. Compare ‘617’ ("sweet and hot") and ‘735’ ("coffee is sweet"): The common word is "sweet" and the common digit is . So, .
2. Compare ‘617’ ("sweet and hot") and ‘263’ ("tea is hot"): The common word is "hot" and the common digit is . So, .
3. From ‘735’ ("coffee is sweet"), since , the remaining digits and correspond to "coffee" and "is".
4. From ‘263’ ("tea is hot"), since , the remaining digits and correspond to "tea" and "is".
5. Comparing steps 3 and 4, the common word is "is" and the common digit is . So, .
6. This leaves .
Now compile the code for “coffee is hot”:
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The digits are , which matches the combination .
1. Compare ‘617’ ("sweet and hot") and ‘735’ ("coffee is sweet"): The common word is "sweet" and the common digit is . So, .
2. Compare ‘617’ ("sweet and hot") and ‘263’ ("tea is hot"): The common word is "hot" and the common digit is . So, .
3. From ‘735’ ("coffee is sweet"), since , the remaining digits and correspond to "coffee" and "is".
4. From ‘263’ ("tea is hot"), since , the remaining digits and correspond to "tea" and "is".
5. Comparing steps 3 and 4, the common word is "is" and the common digit is . So, .
6. This leaves .
Now compile the code for “coffee is hot”:
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The digits are , which matches the combination .