What least digit should come in place of # in the 9 digit number 15549#325, for which the number is divisible by 3?Select one:a. 0b. 1c. 2d. Any of these
Question
What least digit should come in place of # in the 9 digit number 15549#325, for which the number is divisible by 3?
Select one:
- a. 0
- b. 1
- c. 2
- d. Any of these
Solution
To find out which digit makes the number divisible by 3, we need to understand the rule of divisibility by 3. A number is divisible by 3 if the sum of its digits is divisible by 3.
Let's add up the digits of the number 15549#325:
1 + 5 + 5 + 4 + 9 + # + 3 + 2 + 5 = 34 + #
We need to find a value for # that makes the sum divisible by 3.
If we try 0, the sum is 34 which is not divisible by 3.
If we try 1, the sum is 35 which is not divisible by 3.
If we try 2, the sum is 36 which is divisible by 3.
So, the least digit that should come in place of # in the 9 digit number 15549#325, for which the number is divisible by 3 is 2.
Therefore, the answer is c. 2.
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