# GRE Numeric Entry SAMPLE QUESTIONS-7

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## GRE Numeric Entry Sample Questions

1. Question :

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

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?

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

= 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.

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]