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 Post subject: GMAT Integrated Reasoning: Graphics Interpretation
PostPosted: Mon Aug 04, 2014 3:15 am 
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The chart shows a certain algorithm. Each box represents a step in it. The arrows guide you to the next step. The symbol “:=” assigns a new value to a variable. For example, p := 2 means that the value of p becomes 2. Another example, p := p + 2 means that the new value of p is its current value plus two. In other words, it means that p becomes two more than it currently is.

The algorithm may only begin with positive integers.

a. If we enter m = 4 and n = 6, will the algorithm go by the red arrow at least once?

b. If we enter m = 18 and n = 12, what will be the output value of k?

c. What is the minimum value that k can ever be?
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In the graph m is not divisible by k without a reminder , even though it is 18 / 12, or 18 / 11.
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 Post subject: Re: GMAT Integrated Reasoning: Graphics Interpretation
PostPosted: Mon Aug 04, 2014 3:16 am 
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Joined: Fri Apr 09, 2010 2:11 pm
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questioner wrote:
In the graph m is not divisible by k without a reminder , even though it is 18 / 12, or 18 / 11.
Take a closer look at this part of the algorithm.
Image

It ensures, that m will be divisible by k, when we go out of this loop, because the answer "YES" to the question "Is m divisible by k?" is the only way out of it.

If we come into this loop with the values m = 18 and k = 12, then we will decrease k: 12, 11, 10, until it becomes 9, which fits, as 18 / 9 = 2.
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