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Struggling to choose between questions C and E on Data Sufficiency

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Struggling to choose between questions C and E on Data Sufficiency  [#permalink]

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07 Jul 2020, 13:57
Hi Guys,

I'm struggling to choose between questions C and E on Data Sufficiency. I do not have a systemic way of arranging my workings and often get confused once I narrow down the answer between C or E.

Example:

If x and y are greater than 0, is x = 1 ?

(1) x/y = 1
(2) xy = 1

I begin using the variable/picking numbers approach

(1) X and Y could be 2 and 2, 0.5 and 0.5 or 1 and 1 (Insufficient) ELIMINATE A and D
(2) X and Y could be 1 and 1, 2 and 0.5 or 3 and 3 (Insufficient) ELIMINATE B

That was easy right.

The hard part is COMBINING the 2 statements. how do I do this systemically, with as much structure as possible and with avoiding confusion. I've noticed that when I get the answer down to C and E, I almost always get it wrong for these types of questions, I just cant figure it out. PLEASE HELP!!
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Re: Struggling to choose between questions C and E on Data Sufficiency  [#permalink]

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07 Jul 2020, 16:15
Hi GloryBoy92,

Any time you make a 'deduction' when working on a GMAT question, you should write it on your pad. You might be surprised how often you will discover something about a prompt only to forget it 15 seconds later (because you are focused on some other aspect of the prompt).

With this DS question, the work that you did with Fact 1 and Fact 2 is great. Once you got to the point that you needed to combine both Facts, how much easier would it be to work through that last part of the process IF - after dealing with Fact 1 - you wrote on your pad "X and Y are the SAME number"? At this point, you would be looking at....

X and Y are POSITIVE (this is information in the original prompt)
X and Y are the SAME number
(X)(Y) = 1

That extra little bit of note-taking will save you time and greatly increase your chances of correctly answering the question.

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Rich
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Re: Struggling to choose between questions C and E on Data Sufficiency  [#permalink]

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07 Jul 2020, 17:49
GloryBoy92 wrote:
Hi Guys,

I'm struggling to choose between questions C and E on Data Sufficiency. I do not have a systemic way of arranging my workings and often get confused once I narrow down the answer between C or E.

Example:

If x and y are greater than 0, is x = 1 ?

(1) x/y = 1
(2) xy = 1

I begin using the variable/picking numbers approach

(1) X and Y could be 2 and 2, 0.5 and 0.5 or 1 and 1 (Insufficient) ELIMINATE A and D
(2) X and Y could be 1 and 1, 2 and 0.5 or 3 and 3 (Insufficient) ELIMINATE B

That was easy right.

The hard part is COMBINING the 2 statements. how do I do this systemically, with as much structure as possible and with avoiding confusion. I've noticed that when I get the answer down to C and E, I almost always get it wrong for these types of questions, I just cant figure it out. PLEASE HELP!!

Hi Glorybou92,

As long as you use algebra, when combining the statements, you should not have a problem. So, we have:

1) x = y

2) xy = 1

Substituting, we have:

x^2 = 1

x = 1 or x = -1

Since we are originally given that x is greater than zero, we see that x must be 1.
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Re: Struggling to choose between questions C and E on Data Sufficiency   [#permalink] 07 Jul 2020, 17:49

Struggling to choose between questions C and E on Data Sufficiency

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