The word "quotient" here leaves room for different interpretations. Consider this example:himu wrote:If a, b and c are integers, is (ab)/c an odd integer?
(1) When a is divided by c, the quotient is an odd integer.
(2) When b is divided by c, the quotient is an odd integer.
When 17 is divided by 5 the quotient is 3 and the remainder is 2
When 15 is divided by 5 the quotient is 3 and the remainder is 0
So, does statement 1 (When a is divided by c, the quotient is an odd integer.) allow for the remainder to be a number other than zero?
Having said all of that, the answer is E in either case.
Let's jump straight to . . .
Statements 1 and 2 combined:
There are several sets of values that satisfy both statements. Here are two:
Case a: a = 3, b = 3 and c = 1, in which case ab/c is an odd integer
Case b: a = 6, b = 6 and c = 2, in which case ab/c is an even integer
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT
Answer = E
Cheers,
Brent
