Quantity A: 1/4+1/5+1/6+1.7, Quantity B: 1/[1/4+1/5+1/6+1.7]

Question

Quantity A

\frac{1}{4}+\frac{1}{5}+\frac{1}{6}+\frac{1}{7}

Quantity B

\frac{1}{ \frac{1}{4}+\frac{1}{5}+\frac{1}{6}+\frac{1}{7}}

APram · Answer

Hi  Sajjad1994

Can you please post a complete question?

Sajjad1994 · Answer

Hi APram this is a GRE Quantitative comparison question and is complete. The four answer choices that remain the same through out this section are:

A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given.

Carcass · Answer

The question is complete. The fact that it misses the 4 answer choices is irrelevant. You should memorize them because are always the same.

I formatted in a better way for clarity, though

Sajjad1994 · Answer

OE

Analyze the centered information and the columns.

This problem would be a nightmare to calculate under timed conditions. But the only thing you need to figure out is whether one quantity is greater than the other. One thing you might notice is that choice (D) is not an option here. Because both quantities contain only numbers, there is adefinite value for each quantity, and a relationship can be determined. Answer choice (D) is never correct when the quantities contain only numbers.

Note that the quantity on the left is the same as the quantity in the denominator of the fraction on the right. You can think about this problem as a comparison of x and 1/x(or the reciprocal of x), where x has a definite value. Your job now is to figure out just how to compare them.

Approach strategically.

Before you start to do a long calculation, think about what you already know. While you may not know the sum of the four fractions, you do know two things: 1/4+1/4+1/4+1/4=1 and and 1/5, 1/6, and 1/7 are each less than 1/4 Because the reciprocal of any number between 0 and 1 is greater than 1, and because Quantity A is a positive number less than 1, its reciprocal in Quantity B is greater than 1. So choice (B) is correct. Quantitative Comparisons rarely, if ever, ask for exact values, so don’t waste time calculating them.

Answer: B

Quantity A: 1/4+1/5+1/6+1.7, Quantity B: 1/[1/4+1/5+1/6+1.7]

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