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What is the value of (3mr-nt)/(4nt-7mr)?

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by Max@Math Revolution » Tue Aug 06, 2019 12:23 am

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Answers

A

B

C

D

E

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Difficulty—

[GMAT math practice question]

What is the value of (3mr-nt)/(4nt-7mr)?

1) m/n = 4/3
2) r/t= 9/14
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Source: — Data Sufficiency |
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by Max@Math Revolution » Wed Aug 07, 2019 11:03 pm
=>

Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.


The first step of the VA (Variable Approach) method is to modify the original condition and the question. We then recheck the question. We should simplify the conditions if necessary.

We rearrange (3mr-nt)/(4nt-7mr) to see if we can write in terms of the ratios m/n and r/t given in the conditions:
(3mr-nt)/(4nt-7mr)
= ( (3mr)/(nt) - (nt/nt) ) / ( 4(nt/nt) - 7mr/nt )
= ( 3(m/n)*(r/t) - 1 ) / ( 4 - 7(m/n)(r/t) )

Now, both conditions 1) & 2) together are sufficient since the simplified question requires only the values of (m/n) and (r/t).

Therefore, C is the answer.
Answer: C
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