GRE Practice Test (Quantitative Reasoning Test)

Question 1

Compare the following two figures:

Accepted Answer

The relationship cannot be determined from the information given.

Answer

Explanation:
When solving a Quantitative Comparison type of question, the first step is to simplify quantities A and B.
Remember that any operation performed on Quantity A to simplify it, must also be performed on Quantity B.

Simplifying:
(Note that the blank underline represents the unknown equality/inequality sign in each equation/inequality.)

Comparing the simplified quantities:

a3–1 ____ 1
After simplifying and then dividing both quantities by a4, we find that Quantity B is equal to 1.
Trying a negative value for a will result in a negative value for quantity A, which means that B is greater.
Using a positive value bigger than 1 for a, however, will result in a positive value bigger than 1 for quantity A, which means that A is greater.

These inconsistent results show that, with the information given, we don’t know how A compares to B.
Our conclusion is that the relationship cannot be determined from the information given.

Question 2

Adam has bought a certain number of apples. Jen has bought 5 times the natural product that Adam has bought. In case Jen has bought two and a half dozen apples how many apples does Adam have?

Accepted Answer

6 apples

Answer

It's a relatively simple question. Jen has five times the number of apples which Adam has. If Jen has
 30 apples, Adam has 30/5=6 apples.

Question 3

What would be the circumference of a circle that has been inscribed in a square of area 5?

Accepted Answer

√5 π

Answer

Area of a square is multiple of any two sides. If the area is 5, each side of the square has to 
be √5 i.e. √5*√5=5

Now, the radius of the circle would be half of √5 because the circle in inscribed inside the square. So 
Radius = √5/2

So, Circumference= 2*( π)*√5/2

Circumference= π√5

Question 4

In 30 days, 20 employees built a house. In order to do the job in 15 days, how many workers will be required?

Accepted Answer

40

Answer

As stated in the question, the work needs to be completed in half the days as compared to the earlier 
timeline for completion, therefore, the number the workers needs to be doubled.

Question 5

Every day, Master Chef Alan prepares a dish from one of his cookbooks. He has written three books, each with 15 distinct recipes. What are the chances that he would prepare the fourth dish from the third book today?

Accepted Answer

1/45

Answer

We note that there are three books and each book contains 15 recipes so there are a total of 45 recipes.
The probability that he will cook 4th dish from 3rd book today is 1/45. It's important that you must not get distracted 
by irrelevant information. All the recipes are different from each other.

Uncategorized Practice Test

Uncategorized Practice Test

GRE Practice Test (Quantitative Reasoning Test)