chesstitans wrote:
I do not think gmat will have amath question that has many unobvious information.
2 digit number DE => D cannot be 0. Not everybody can see that.
The Answer should be E. I think every one has missed one point. Let me explain.
Divisibility Rule of 8: Last three digits divisible by 8.,i.e, in this case 8DE should be divisible by 8.
Now coming to the possible values as per statement 1.
since, x is divisible by 5, Last digit is 0 or 5. Thus, 8D0 or 8D5.
Alone not sufficient.
Now coming to the possible values as per statement 2.
since, D is divisible by 8. Thus, D has only 2 values 0 or 8.
Alone not sufficient.
Combining I & II,
All possible cases for last three digits are, 800,880,805,885.
Now as per the question, x is divisible by 8, thus recall the rule mention in the begining.
Thus, eliminate 885 & 805. The cases left are 800 and 880 since both are divisible by 8.
Thus, two possible values of DE is 00 and 80.
Hence, E together not sufficient. [ Remember any number D is divisble by 0]