Question : The largest number of four digits that is exactly divisible by 17 and 36 is:
Option 1: 7956
Option 2: 9180
Option 3: 9792
Option 4: 8568
Correct Answer: 9792
Solution :
LCM of 17 and 36 is 612.
The largest four-digit number is 9999.
To find the largest four-digit number divisible by 17 and 36 we have to divide the 9999 by 612 and subtract the remainder from 9999.
When we divide the 9999 by 612, we get the remainder 207.
∴ Required number = 9999 – 207 = 9792
Hence, the correct answer is 9792.
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