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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Question : The largest six-digit number is divisible by 198, if the digits are rearranged, even then the number will be divisible by:
Option 1: 3
Option 2: 6
Option 3: 2
Option 4: 66
Question : The least number of five digits which is exactly divisible by 9, 12, 15, 25 and 27 is:
Option 1: 10800
Option 2: 10250
Option 3: 10700
Option 4: 10600
Question : What is the sum of the digits of the least number which when divided by 15,18, and 36 leaves the same remainder 9 in each case and is divisible by 11?
Option 1: 15
Option 2: 16
Option 3: 18
Option 4: 17
Question : The least number which should be added to 1351 so that the sum is exactly divisible by 2, 4, 6 and 8 is:
Option 1: 11
Option 2: 15
Option 3: 13
Question : The greatest four-digit number which is exactly divisible by 15, 24, and 40 is:
Option 1: 9960
Option 2: 9940
Option 3: 9990
Option 4: 9980
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