What is the value of two-digit integer x?

Question : x = ab = ? where a and b are digits of number x

Statement 1: The product of the two digits is 14.
i.e. a*b = 2*7
but number may be with 27 or 72. Hence,
NOT SUFFICIENT

Statement 2: x is divisible by 9.
Number may be 18, 27, 26 etc. Hence,
NOT SUFFICIENT

Combining the two statements
Number may still be 27 or 72. Hence,
NOT SUFFICIENT

Answer: option E

This might be more appropriately classified as a sub 600 question.

VERITAS PREP OFFICIAL SOLUTION:

Question Type: Yes/No What is the value of two-digit integer x?

Given information from the question stem: x is a two-digit integer. For this question you can start with Statement 2 since that statement is more obviously not sufficient.

Statement 2: x is divisible by 9. In other words, x is a multiple of 9. However, there are many two-digit multiples of 9, such as 18, 27, 36, etc. This is clearly not sufficient. Eliminate choices B and D.

Statement 1: The product of the two digits is 14. What two-digit integers have a product of 14? 27 has a product of 14, as does 72. Because there is more than one value of x this statement is also not sufficient. Eliminate choice A.

Together: Taken together the two values used in Statement 1 still work here. Both 27 and 72 are multiples of 9, and both multiply to 14. Taken together the statements are not sufficient.

The correct answer is E.

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