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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.
AStatement (I) alone is sufficient
BEven together not sufficient
CBoth statements together are sufficient
DStatement (II) alone is sufficient
Answer & Solution
Correct answer: B. Even together not sufficient
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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