GRE Numeric Entry Sample Questions

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1. Question :

A’s expenses are 20% less than B’s expenses. How much percent more are B’s expenses than A’s expenses?

Correct Answer:

25%

Explanation:

Let the expenses of A and B be x and y respectively.

x=y-20% of y

x=y-20y/100

x=(100y-20y)/100

x=80y/100

y=100/80x

Required percentage=(y-x)/x*100

=(100x/80-x)/x*100

=(100x-80x)/(80x)*100

=20/80*100

=25%

2. Question :

The breadth of a rectangle becomes one and a half times itself and the length increases by 40%. What is the percentage
change in the area of the rectangle?

Correct Answer:

110%

Explanation:

Let the original length and breadth be l and b respectively

Area=l*b

New length=l+40% of l

=l+40l/100

=140l/100

New breadth=(1+1/2)b

=3b/2

New area=140l/100*3b/2

=140*3lb/200

=21lb/10

Percentage increase=increase/original area*100

=(21lb/10 – lb)/lb*100

=(21-10)/10*100

=1100/10=110%

3. Question :

The volume of a cylindrical pipe is 17600 cc. Its height is 14cm and the external radius is 25cm. Find the thickness
of the cylinder.

Correct Answer:

10 cm

Explanation:

Volume of the cylindrical pipe=pi(R^2-r^2)h, where R and r are the external and internal radii and h is the
height of the cylinder.

pi(R^2-r^2)h=17600

22/7(25^2-r^2)14=17600

22*2*(625-r^2)=17600

r^2=625-400

r^2=225

r=sqrt(225)=15

R=25

r=15

Thickness=R-r

=25-15=10 cm

[x^2=x*x]

GRE Numeric Entry Sample Questions

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