Find the least value of * so that the number 73818*4 is divisible by 8 *
Answers
* = 2
A number is divisible by 8 if the number formed by the last 3 digits (here, 8*4) is divisible by 8.
So, 8*4 must be divisible by 8.
By hit and trial, we find that
* = 2 and * = 6 are the solutions
Here, least value is 2
2 is least value of x so that the number 73818x4 is divisible by 8.
Complete question :
Find the least of value of ‘x’ so that the number 73818x4 is divisible by 8
a)1
b)2
c)3
d)4
e)6
Answer:
Correct answer is option 'b' = 2.
Step-by-step explanation:
A number is exactly divisible by 8,
then the last 3 digits of the numbers must be divisible by 83
Here, the last 3 digits are 8x4.
Put each value in given options in the place of x and check whether it is divisible by 8 or not .
When x=1, 814 → Not Divisible
When x=2, 824→ Divisible
Option b , 824 which is exactly divisible by 8.
So , answer is option (b)
Divisibility rules in math are a set of specific rules that apply to a number to check whether the given number is divisible by a particular number or not. Some known divisibility tests are for numbers 2 to 20. It helps us to find the factors and multiples of numbers without performing long division.
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