Find the smallest number to be added to 999, so that 99 divides the sum exactly.
90
The remainder when 999 is divided by 99 is 9. To make the sum divisible by 99, we need to add 90 (since 99 - 9 = 90).
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Important Questions from Number System
Consider the following statements :
1. (25)! + 1 is divisible by 26
2. (6)! + 1 is divisible by 7
Which of the above statements is/are correct ?
If the sum S is divided by 8, what is the remainder ?
If the sum S is divided by 60, what is the remainder ?
What is the Highest Common Factor of 2 3× 3 5and 3 3× 5 2?
Four prime numbers are arranged in ascending order. The product of the first three numbers is 255 and that of the last three is 1955. The largest prime number is:
