In 154 N38, what digit should be replaced to N to make the number divisible by 3,6 and 9?
Answers
Answer:
6
Step-by-step explanation:
n=6
hope it helps to you
Given : Number 154N38 is divisible by 3 , 6 and 9
To Find : Value of digit N
Solution:
A number is Divisible by 3 if it is Divisible by 9
A number is Divisible by 6 if it is Divisible by 2 and 3
A number is Divisible by 9 is sum of digits is divisible by 9
A number is Divisible by 2 if unit digit is divisible by 2 means unit digit is
0 , 2 , 4 , 6 or 8
Number 154N38 has unit digit 8 Hence divisible by 2
So need to check Divisibility by 9 to ensure that Number is divisible by 3 , 6 and 9
154N38
Sum of Digits = 1 + 5 + 4 + N + 3 + 8
= 21 + N
27 is divisible by 9
Hence N must be 6
So Value of Digit N is 6
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