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Re: Which of the following numbers are evenly divisible by 6?
[#permalink]
08 Dec 2021, 09:20
1
Divisibility Rule by 6: A number is divisible by 6 if it is divisible by both 2 and 3
Divisibility Rule by 2: Number must be even. i.e. the unit's digit should be 0, 2, 4, 6, 8
Divisibility Rule by 3: Sum of all the digits of the number is divisible by 3
To find which number is divisible by 6 let's start by eliminating the odd numbers (as odd numbers won't be divisible by 2 so they wont be divisible by 6 too) So, we are left with options A, B and D
Let's check for divisibility rule by 3 now.
A. 35172 -> Sum of digits = 3+5+1+7+2 = 18 -> divisible by 3 => Divisible by 6 too (as it is divisible by 2 also)
B. 24834 -> Sum of digits = 2+4+8+3+4 = 21 -> divisible by 3 => Divisible by 6 too (as it is divisible by 2 also)
D. 40356 -> Sum of digits = 4+0+3+5+6 = 18 -> divisible by 3 => Divisible by 6 too (as it is divisible by 2 also)
So, Answer will be A, B, D Hope it helps!
Watch the following video to learn the Basics of Divisibility Rules
gmatclubot
Re: Which of the following numbers are evenly divisible by 6? [#permalink]