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Question

The first two digits of a 3 digit number are 3 and 7. What are the possible values of the unit's digit if the number is divisible by 3? 
 


  1. 2

  2. 5

  3. 8

  4. 9


Solution

The correct options are
A

2


B

5


C

8


For a number to be divisible by 3, the sum of its digits should be equal to a multiple of 3.

The sum of the 2 given digits is 3 + 7 = 10.

Hence, if 2 is in the units digit, the sum of the digits will be 3 +7 +2 = 12, which is a multiple of 3. 
372 is divisible by 3.

if 5 is in the units digit, the sum of the digits will be 3 +7 +5= 15 which is a multiple of 3. 
375 is divisible by 3.

if 8 is in the units digit, the sum of the digits will be 3 +7 +8 = 18, which is a multiple of 3. 
​​​​​​​378 is divisible by 3.

if 9 is in the units digit, the sum of the digits will be 3 +7 +9 = 19, which is not a multiple of 3. 
​​​​​​​379 is not divisible by 3.

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