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What is 11% of x?

Expert replies
Source: — Data Sufficiency |

by ceilidh.erickson » Fri Nov 10, 2017 6:49 am
With DS, it's important to ask: "what is the MINIMUM piece of information that would be sufficient to answer the question?"

If the question is "what is 11% of x," we would need to know the value of x to solve. Thus, knowing the value of x would be sufficient.

Rephrased question: what is the value of x?

(1) 3/8 of x is 24
Don't do the math here! Just think - can we get a value for x? Yes! We could create a simple equation and solve: x = (8/3)(24). Don't even calculate - this must be sufficient.

(2) 5% of x is 3.2
The same idea holds true here. Don't do the math - we can see that we're going to get one - and only one - value for x. Sufficient.

The answer is D.
Ceilidh Erickson
EdM in Mind, Brain, and Education
Harvard Graduate School of Education
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by ceilidh.erickson » Fri Nov 10, 2017 6:53 am
Try this technique on a similar problem. This one is #240 in OG 2017:
What is the cube root of w ?

(1) The 5th root of w is 64.

(2) The 15th root of w is 4.
OA: D
Ceilidh Erickson
EdM in Mind, Brain, and Education
Harvard Graduate School of Education
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by Matt@VeritasPrep » Fri Nov 10, 2017 1:15 pm
To solve, we need the value of x.

S1:: gives us the value of x, sufficient

S2:: gives us the value of x, also sufficient

If you're having trouble with this one, I'd recommend doing more skillbuilding in algebra before trying too many CATs or assorted problems. Once your fundamentals are solid, come back to them, but make sure you're comfortable with the foundations first.
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