Question

There are two milestones. One of them is numbered 1056. The other number is close to 1056 and is completely divisible by 23. What is the least number that should be added to 1056 to obtain the second number?

• A. 3
• B. 2
• C. 4
• D. 5

Answer 1

The correct option is B 2

To find the exact number, we have to divide 1056 by 23 .
The division leaves 21 as the remainder. Thus, we need to add a number such that we will obtain 0 as the remainder, i.e., the number is divisble by 23.

So, the least number = 23 – 21 = 2

After adding 2 to 1056, we will get 1058.

1058 is completly divisble by 23.


$$\begin{array}{c}46\\ 231058\\ -\underset{–}{92}2\\ 138\\ -\underset{–}{138}\\ 0\end{array}$$

So, the least number added to 1056 is 2 to make it completely divisible by 23.