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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


Team Careers360 10th Jan, 2024
Answer (1)
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Team Careers360 16th Jan, 2024

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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