# GRE Numeric Entry SAMPLE QUESTIONS-6

## GRE Numeric Entry Sample Questions

1. Question :

Find the value of a for which a+5, 3a-10 and 2a+a/2 are in AP

Correct Answer: 10

Explanation:

Since a+5, 3a-10 and 2a+a/2 are in AP, we have

2(3a-10)=(a+5)+(2a+a/2)

6a-20=a+5+2a+a/2

6a-20=(6a+a)/2+5

12a-40=7a+10

12a-7a=10+40

5a=50

a=10

2. Question :

A retailer buys 25 items from a wholesaler. The total price for which the flawless items were sold was equal to the price that he had paid for buying the 25 items and 20% of the items were defected. Find the gain percent of the retailer.

Correct Answer: 25%

Explanation:

Number of items purchased = 25

Defected items = 20/100*25

= 500/100 = 5

Let the cost price of each item be Rs.x

Total cost price = 25x

Number of items bought = 25

Total selling price = 25x

Number of items sold = 25-5=20

Gain% = [(25x/20-25x/25)/25x/25]*100

= (25x-20x)/20x*100

=25%

3. Question :

Find the sum of all two-digit natural numbers that are divisible by 4.

Correct Answer: 1188

Explanation:

The smallest and the largest such numbers are 12 and 96

The numbers form an AP with common difference d = 4 and the first term a = 12

The last term is 96 and let there be n terms in the AP

nth term is given by

Tn= a+(n-1)d

96=12+(n-1)4

96=12+4n-4

88=4n

n=88/4=22

Sum of n terms is given Sn=(n/2)[2a+(n-1)d]

=(22/2)[2*12+(22-1)4]

=11(24+21*4)

=11(24+84)

=11*108=1188

The sum of the required numbers is 1188