find the least value of *for which the number 8550*1 is divisible by 3? 1)1 b)2 c)5 d)8
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b-2
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Given: A number 8550*1 where * is unknown
To find: Least value of * such that it is divisible by 3
Explanation: For a number n to be divisible by 3, the sum of the digits of the number should be divisible by 3.
Here , number n given is= 8550*1
Sum of digits= 8+5+5+0+*+1
= 19+*
The sum of the digits is 19+ *. Now, nearest greater multiple of 3 is 21 for this number. For sum of digits to be 21:
19+* = 21
=> * = 21-19
= 2
Checking, the number becomes 855021 which is perfectly divisible by 3.
The least value of * in 8550*1 is 2 to be exactly divisible by 3.
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