GRE Sample Test 5 Quantitative Reasoning 2

Question : 2 of 20

Marks: +1, -0

a > 1
b > 1
Quantity A :

1/a+1/b

Quantity B :

1/{(1/a)+(1/b)}

Validate

Solution:

Plug in numbers. First, let a = 2, and b = 2. In this case, the value of Quantity A is

1/2+1/2

= 1.
The value of Quantity B is

1/{1/2+1/2}

1/1

= 1
In this case, the two quantities are equal. Now, let a = 10 and b = 10. In this case, the value of Quantity A is

1/{10}+1{10}

2/{10}

1/5

. The value of Quantity B is

1/{1/{10}+1/{10}}

1/{2/{10}}

= 5.
In this case, Quantity B is greater. A relationship cannot be determined.

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