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Find the two-digit number. A. The sum of the squares of the two digits of the two-digit number is 26. B. The ratio between the two-digit number and the sum of its digits is 5:2. C. The digit in the tens place is 4 less than the digit in the units place. Which of the following is sufficient? A) Any one of them B) Only A and B together are sufficient C) Either A and C together or B alone D) Only B and C together are sufficient E) None of these

1. Any one of them
2. Only A and B together are sufficient
3. Either A and C together or B alone
4. Only B and C together are sufficient
5. None of these

Correct answer: Only B and C together are sufficient

Solution

Statement B gives a relation between the number and the sum of its digits, while C gives a direct relation between the tens and units digits. Together they are enough to determine a unique two-digit number. A alone is not sufficient because multiple digit pairs can satisfy the sum of squares condition.

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