Replace the interrogation marks in the following statements by appropriate digits (0 to 9) to make these statements valid:

D1: 34?561? is exactly divisible by 45
D2: 68??37 is exactly divisible by 99
D3: 9???057 is equal to 417 times ?1???
D3: 70??34? is exactly divisible by 792
D4: 4?18? is exactly divisible by 101
D5: 6?80?8??51 is exactly divisible by 73*137

9abc057 = 417*d1efg

d=2, g=1

9abc057 = 417*21ef1

9abc057 = 417*21001 + 417*ef0

9abc057 = 8757417 + 417*ef0

9abc040 = 8757400 + 417*ef0

9abc04 = 875740 + 417*ef so f=2

9abc04 = 876574 + 417*e0

9abc00 = 876570 + 417*e0

9abc0 = 87657 + 417*e so e=9

9abc0 = 91410 so a,b,c = 1,4,1

Posted by xdog on 2011-06-06 20:30:40