Lesson: Rephrasing the Target Question

Comment on Rephrasing the Target Question

Hi Brent,

https://www.beatthegmat.com/official-guide-question-73-t274523.html

If X² + Y² = 29, what is the value of (X - Y)²?

(1) XY = 10
(2) X = 5

We have rephrased the question as 'What is the value of XY?'

Since statement 2 provides the value of X and the value of Y is unknown, I have eliminated that option. I totally didn't think about replacing the X in original stem X² + Y² = 29 and evaluating Y value. All I concentrated on was the rephrased question and didn't provide attention to the original question.

Consider, for example, if the original question instead of X² + Y² = 29 had X + Y = 29, I would have still eliminated statement 2 because it didn't provide any information on Y. However, now we would be able to evaluate the value of Y if we substitute the value of X in X + Y = 29 equation.

So when we have two such statements in the original target question, should we pay attention to it even after rephrasing the question?

Thanks
gmat-admin's picture

Question link: https://www.beatthegmat.com/official-guide-question-73-t274523.html

Once I rephrased the target question to get "What is the value of XY?", I really didn't need to do all of that extra work with statement 2. I could have just concluded that knowing the value of X doesn't help answer the rephrased target question.

In the case of your new question (with X + Y = 29 instead of X² + Y² = 29), we can't rephrase the target question in the same way.
That is, if X + Y = 29, we can't rephrase the target question to get "What is the value of XY?"

Cheers,
Brent

After watching this video ('Rephrasing the Target Question'), which left me quite confused because I still have not studied some of the examples, which video should I see next?

Should I continue with the 'Next Video,' or switch to a different one? If switch is suggested, where could I start? A link would be helpful.

Thanks.
gmat-admin's picture

If, after watching a video, you're still confused about some concepts, you might consider re-watching the video.
I also suggest that you try answering some of the related practice questions in the gray reinforcement activities box before moving on to another video.
Once you feel that you have mastered the concepts covered in a video, it's best to click NEXT VIDEO to see the next video in the series.

Thanks for the guidance.

Can you please explain the solution in an easy way?

Is (x - 2)^2 > x^2?


(1) x^2 > x

(2) (1/x) > 0

Hi Brent, I just purchased your course and as suggested I am going through the modules and practice questions.

In this file the 4th link from the bottom GMAT practice question (difficulty level: 650 to 800) isn't working. Could you please look into it
gmat-admin's picture

That's odd. The link is working for me.
Does it work here https://gmatclub.com/forum/in-the-xy-coordinate-plane-is-point-r-equidis... ?

On the problem where you summarized the information as "Is k non-prime", doesn't the fact that 1 is not prime mean that knowing if k is prime or not does not answer the question? Because if you were told that k is a non-prime, it could be 6, and the answer to the problem statement would be yes, or it could be 1, and the answer would be no.
gmat-admin's picture

Great question!

The original target question: Can positive integer k be expressed as the product of two integers, each of which is greater than 1?

All positive integers can be classified into one of three categories:
- the integer is prime
- the integer is composite
- the integer = 1

So, you're correct to say that "not prime" doesn't necessarily mean "composite" (since it could also mean k = 1)
However, the wording of the question ("each of which is greater than 1") excludes the possibility that k = 1.
So, once we've eliminated the possibility that k = 1, we can see that "not prime" (and not k = 1) is the same as "composite"

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