# 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.

Correct Answer: 35

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.

Correct Answer: 35

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?

Correct Answer: 30

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.