Question

What least value must be given to $\ast$ so that the number $97215\ast 6$ is divisible by $11$?

• A. $3$
• B. $2$
• C. $1$
• D. $5$

Answer 1

Answer: (A)

$3$

The given number is $97215\ast 6$

$\Rightarrow$ Let $\ast$ be the $x$, then number becomes $97215x6$.

$\Rightarrow$ Divisibility rule of $11$ : Alternate adding and subtracting the digits, and if the result is a multiple of $11$, then the original number is a multiple of $11$.

$\Rightarrow$$(9+2+5+6)-(7+1+x)=14-x$

$\Rightarrow$$14-x=11$

$\Rightarrow$$x=3$

$\Rightarrow$ $3$ is the least value must be given to $\ast$ so that the number $97215\ast 6$ is divisible by $11$