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Multiples of 7

Logic puzzles require you to think. You will have to be logical in your reasoning.

 

Puzzle ID:#44106
Fun:*** (2.25)
Difficulty:** (1.25)
Category:Logic
Submitted By:shenqiangAcn****!!
Corrected By:Winner4600

 

 

 



There are eight different 2-digit numbers: AD, BA, BG, CE, DB, DH, EF, and FC. Each is less than 70 and divisible by 7. Each of the distinct letters represents a different digit. The same letter represents the same digit. Given E=5, what is G?


Answer

8.

Since E=5, F=6 and C=3.
The remaining numbers divisible by 7 are 14, 21, 28, 42 and 49. The number 1 appears in the tens digit only once; therefore, A=1, B=2, D=4, G=8, and H=9.

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