# GRE Numeric Entry SAMPLE QUESTIONS-2

## GRE Numeric Entry Sample Questions

1. Question :

The product of two positive numbers is 300 and the sum of their squares is 25 more than two times their product. Find the sum of the two numbers.

Explanation:

Let the numbers be x and y.

According to the given conditions, we have

xy=300

x^2+y^2= 2xy+25

=2*300+25

=600+25=625

(x+y)^2=x^2+y^2+2xy

=625+2*300

=625+600=1225

x+y= sqrt(1225)

= 35

The sum of the numbers is 35

2. Question :

The product of the digits of a two-digit number is 15 and the sum of the digits is 8. The digits interchange their places when 18 is added to the number.

Find the number.

Explanation:

Let the digit in the units place be x and the one in the tens place be y.

The number will be 10y+x.

xy=15 and x+y=8

Putting x = 8-y in xy=15, we get

(8-y)y=15

8y-y^2-15=0

y^2-8y+15=0

y^2-5y-3y+15=0

y(y-5)-3(y-5)=0

y=3,5

When y = 3, x = 5 and when y = 5, x = 3

The number is either 35 or 53.

When 18 is added to the number the digits interchange their places.

35+18=53

Hence, the number is 35.

3. Question :

The price of wheat has fallen by 10%. How many quintals can be purchased for the same price for which 27 quintals could be bought before?

Explanation:

Let the price per quintal before be x.

Total cost of 27 quintals = 27x

Reduction in price is 10%

New price = x-10x/100

=90x/100 = 0.9x

Number of quintals that can be purchased now = 27x/0.9x

= 30

30 quintals can be bought now.