Find the Least Positive Integers Which must be Added to 15,463 So that the Result GMAT Problem Solving

Question: Find the least positive integers which must be added to 15,463 so that the resulting number is exactly divisible by 107?

1. 71
2. 55
3. 52
4. 42
5. 19

“Find the least positive integers which must be added to 15,463 so that the resulting number is exactly divisible by 107?”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Official Guide Quantitative Review”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.

Solution and Explanation

Approach Solution 1:

Basically we need to find the remainder when 15463 is divided by 107.

The remainder when added to 15463 will be exactly divisible by 107

So 15463 = 107 * 144 + 55

Correct Answer: B

Approach Solution 2:

We are looking at what should be added to 15463, so that it is divisible by 107.

This means we are looking at the next multiple of 107 that is just greater than 15463

Now 15463 = 107*144 + 55

That is we have to add 107 – 55 or 52 to get the next multiple.

Correct Answer: C

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