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Missing digits (Posted on 2011-06-06) Difficulty: 3 of 5
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

No Solution Yet Submitted by Ady TZIDON    
Rating: 3.6667 (3 votes)

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4 by hand, just for fun | Comment 7 of 8 |

101 divides 40097, so (4a18b-40097) has alternating digits of the form xyxy.

Then a18b-97=xyxy, and since 90>80, y=0, x=9

Hence 40097+9090=49187, a=9,b=7


  Posted by broll on 2011-06-08 07:40:42
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