Question

The greatest $4$-digit number, using any one digit twice from digits $5,9,3$ and $6$ is

• A. $9653$
• B. $9563$
• C. $9659$
• D. $9965$

Answer 1

The correct option is D

$9965$

Here, we have to use any one of the digits twice to make the greatest '$4-\mathrm{digit}$‘ number, So we will use the digit ’$9$‘ twice and the digits ’$5$‘ and ’$6$' once.

So, to make the greatest $4$-digit number we will use the digits $5,9,6,9$

$\Rightarrow$To get the largest number we arrange the digits $5,9,6,9$ in descending order as $9,9,6,5$

Therefore, the largest number is $9965$