What least number should be added to 5931 to make it exactly divisible by 94?a)9b)85c)63d)61Correct answer is option 'B'. Can you explain this answer?

Question

Answer

The correct option is B.
to find the least number that has to be added, find the remainder and subtract this from the divisor.
Here 5931/94; remainder as 9
Subtracting 94-9 = 85.

Answer

When we have to find the least number that has to be added we find the remainder and we subtract this from the divisor.

Here when we divide 5931 by 94 we get remainder as 9

Subtracting 94-9 we get 85.

Adding the proof below

Answer

To find the least number that should be added to 5931 to make it exactly divisible by 94, we need to perform the following steps:

Step 1: Find the remainder when 5931 is divided by 94.
Step 2: Subtract the remainder from 94 to get the number that should be added to 5931.

Let's calculate the remainder in Step 1.

Step 1: Find the remainder when 5931 is divided by 94.
To find the remainder, we divide 5931 by 94 using long division.

_______
94 | 5931
- 5640
_______
291

The remainder is 291.

Step 2: Subtract the remainder from 94.
To find the number that should be added to 5931, we subtract the remainder (291) from 94.

94 - 291 = -197

Since the result is negative, we need to find the positive equivalent of -197 that when added to 5931 will make it divisible by 94.

Positive equivalent of -197 = 94 - 197 = 97

Therefore, the least number that should be added to 5931 to make it exactly divisible by 94 is 97.

Hence, the correct answer is option B) 85.

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