Question

Replace □ by a digit so that the number is divisible by 9 :- (1) 46□24​

Answer 1

↪Question :-

• Replace □ by a digit so that the number is divisible by 9 :- 46□24

↪Solution :-

Given :

• 46□24

To Find :

• A number which replace □.

Divisibility test of 9 : A number is divisible by 9 if the sum of its digits is divisible by 9.

Let □ be x.

$\sf{The \: given \: number = 46x24}</p><p> \\ \\ \sf{Sum \: of \: its \: digits =4 + 6 + x + 2 + 4} \\ \\ \sf{Sum \: of \: its \: digits =16 + x ,which \: must \: be \: divisible \: by \:9.}$

$\bf {\therefore{The \:number\:which\: replace\:\square \:will \:be\: 2\: or\: 5\:or\:8.}}$

$\rule {127}{2}$

know more :

▪Divisibility test of 3 : A number is divisible by 3 if the sum of its digits is divisible by 3.

▪Divisibility test of 2 : A number is divisible 2 if it ends with 0, 2, 4, 6 or 8.

▪Divisibility test of 6 : A number is divisible by 6 if it is divisible by both 2 and 3.

$\rule {307}{2}$

Answer 2

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$\huge\tt{GIVEN:}$

• 46□24

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$\huge\tt{TO~FIND:}$

• A digit to replace □ so that the number become divisible by 9

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$\huge\tt{SOLUTION:}$

First of all, a number is divisible by 9 if the sum of all digits is divisible by 9.

Let us assume that □ is X

↪Sum of the digits = 4 + 6 + x + 2 + 4

↪Sum of the digits = 16 + x

Hence,

We can replace x by 2, where the sum would become 18.

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