Name: Solving Puzzles Using Number Pattern
Uploaded: 2019-07-19
Duration: 3 min 52 s
Description: Patterns are everywhere: right from small beautiful leaves of nature to huge man-made building! Watch the video to learn about some amazing number patterns!

Question

If

420 x

is divisible by

3,

where

x

is a digit, find all possible values of

x

.

Accepted Answer

It is given that $420 x$ is divisible by $3$ .

We need to find the possible values of $x$ .

The divisibility rule of $3$ is that, if the sum of the digits of a number is divisible by $3$ , then the number is divisible by $3$ .

$\Rightarrow 4 + 2 + 0 + x$

The possible values of $x$ are from $0 to 9$ .

$\Rightarrow 4 + 2 + 0 + x$ can take values

$\Rightarrow 4 + 2 + 0 + 0, 4 + 2 + 0 + 1, 4 + 2 + 0 + 2, 4 + 2 + 0 + 3, 4 + 2 + 0 + 4, 4 + 2 + 0 + 5, 4 + 2 + 0 + 6, 4 + 2 + 0 + 7, 4 + 2 + 0 + 8, 4 + 2 + 0 + 9$

Sum of digits of $4 + 2 + 0 + x$ can take values $42, 43, 44, 45, 46, 47, 48, 49, 50, 51$ .

$\Rightarrow 42, 45, 48 and 51$ are divisible by $3$ .

Hence, $x = 0, 3, 6, 9$ satisfies the given condition.

If $420 x$ is divisible by $3,$ where $x$ is a digit, find all possible values of $x$ .

Important Questions on Playing with Numbers

Learn and Prepare for any exam you want !

If 420x is divisible by 3, where x is a digit, find all possible values of x.

Important Questions on Playing with Numbers

Learn and Prepare for any exam you want !

If $420 x$ is divisible by $3,$ where $x$ is a digit, find all possible values of $x$ .