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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 probability of the occurrence of exactly one of A and B when P(AUB) = 0.59 and the probability of the occurrence of both A and B is 0.01. [AUB = A union B]
Correct Answer: 0.58
Explanation:Probability of occurrence of exactly one of A and B = P(AUB) - probability of occurrence of both A and B
= 0.59 - 0.01
= 0.58
2. Question :Find the value of (3/y-1/x) if 3(2x+y)=7xy and 3(x+3y)=11xy.
Correct Answer: 1
Explanation:Let 1/x = u and 1/y = v
The two equations can be rewritten as
6x+3y = 7xy and 3x+9y=11xy
6/y+3/x=7 and 3/y+9/x = 11
6v+3u=7 and 3v+9u=11
The equations now are
3u+6v=7 ...(1)
9u+3v=11 ...(2)
Multiplying (1) by 3 and subtracting from (2), we get
9u+3v-9u-18v=11-21
-15v=-10
v=2/3
u = 1/3(7-6*2/3)
=1/3(21-12)/3
=9/9=1
Hence, x = 1/u = 1 and y = 1/v = 3/2
3/y-1/x = 3/(3/2)-1/1
=2-1=1
3. Question :The simple interest on a sum of money is 1/6 of the principal. The number of months of investment is equal to twice the rate percent. Find the time in months of the investment.
Correct Answer: 20
Explanation:Let the principal be Rs.x.
The simple interest will be Rs.x/6
Let the rate of interest be y%.
The time in months will be 2y
Simple interest = P*R*T/100, where P, R and T are the principal, rate and interest.
x/6 = (x*y*2y/12)/100
y^2=100
y=10
Hence, the time in months is 2*10=20 months
[y^2=y*y]
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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