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Find the two-digit number x. (I) The difference between x and the number obtained by reversing it is 27. (II) The number is greater than 5.
Answer & Solution
Correct answer: B.
1. Let x = 10a + b. Reversed = 10b + a. Difference = 9(a − b) = 27, so a − b = 3.
2. Many two-digit numbers fit: 30, 41, 52, 63, 74, 85, 96. (I) alone insufficient.
3. (II) "greater than 5" is trivially true for any two-digit number; adds nothing.
4. Even together not sufficient to pin one value.
_Source: TSICET 2024 PYQ Q.5 (Shift 1, Data Sufficiency)_
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