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Problems on Test Divisibility
Test Divisibility - Aptitude
1. Find the least value of # for which 4856#02 is divisible by 3.
x
Option: C
Explanation
(4 + 8 + 5 + 6 + # + 0 + 2) = (25 + #)
The least number that is added with 25(i.e. instead of #) that is divisible by 3 is 2
so 25 + 2 = 27 is divisible by 3
2. If the number 519#742 is completely divisible by 3, then the smallest whole number in place of # will be:
x
Option: A
Explanation
(5 + 1 + 9 + # + 7 + 4 + 2) = (28 + #)
The least number that is added with 28(i.e. instead of #) that is divisible by 3 is 2
so 28 + 2 = 30 is divisible by 3
3. If the number 51978#8 completely divisible by 8, then the smallest whole number in the place of # will be:
x
Option: D
Explanation
The last three digits of the number should be divisible by 8
i.e. (8 * # * 8) = 64#
The least number multiplied with 64(instead of #) that should be divisible by 8 is 1
i.e. (64 * 1) = 64 is divisible by 8
4. Find the least value of # for which 3977#4 is divisible by 8.
x
Option: A
Explanation
The last three digits of the number should be divisible by 8
i.e. (7 * # * 4) = 28#
The least number multiplied with 64(instead of #) that should be divisible by 8 is 2.
i.e. (28 * 2) = 56 is divisible by 8
5. If the number 481#673 is completely divisible by 9, then the smallest whole number in place of # will be:
x
Option: A
Explanation
(4 + 8 + 1 + # + 6 + 7 + 3) = (29 + #)
The least number that is added with 29(i.e. instead of #) that is divisible by 9 is 7
so 29 + 7 = 36 is divisible by 9
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