Bunuel wrote:
If \(x\) and \(y\) represent digits of a positive two-digit number divisible by 3, is the two-digit number less than 50?
(1) Sum of the digits is a multiple of 18
(2) Product of the digits is a multiple of 9
Statement 2 is easy, can be quickly negated.
Multiples of 9: 9, 18, 27
Case 1. 33 <50, 3*3=9
case 2. But 93 >50, 9*3=27
Insufficient.
Statement 1.
Multiples of 18: 18, 36...
two digits x and y can add up to form maximum 18, so it has to be 99 (Also divisible by 3)
So, number is >50. Sufficient.
A
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