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GRE Numeric Entry Sample Questions 1 | GRE Numeric Entry Sample Questions 2 | GRE Numeric Entry Sample Questions 3 | GRE Numeric Entry Sample Questions 4 | GRE Numeric Entry Sample Questions 5 | GRE Numeric Entry Sample Questions 6 | GRE Numeric Entry Sample Questions 7 | GRE Numeric Entry Sample Questions 8 | GRE Numeric Entry Sample Questions 9 | GRE Numeric Entry Sample Questions 10
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
GRE Numeric Entry Sample Questions 1 | GRE Numeric Entry Sample Questions 2 | GRE Numeric Entry Sample Questions 3 | GRE Numeric Entry Sample Questions 4 | GRE Numeric Entry Sample Questions 5 | GRE Numeric Entry Sample Questions 6 | GRE Numeric Entry Sample Questions 7 | GRE Numeric Entry Sample Questions 8 | GRE Numeric Entry Sample Questions 9 | GRE Numeric Entry Sample Questions 10
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