GRE Quantitative 2

  • Last Updated : 27 Mar, 2019

Question 1
Question 1 - 8 are quantity comparison Questions. If 2 / 7 of a number is 12,
Quantity A: 3 / 8 of the number
Quantity B: 25% of the number
A
Quantity A is greater.
B
Quantity B is greater.
C
The two quantities are equal.
D
The relationship cannot be determined from the information given.
GRE Quantitative 2    
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Question 1 Explanation: 
Let the number be N,
2 / 7 of a number is 12
(2 / 7) * N = 12 
N = 42

Quantity A: 3 / 8 of the number:
(3 / 8) * 42 = 15.75

Quantity B: 25% of the number:
(1 / 4) * 42 = 10.5 
So, quantity A is greater than quantity B. Option (A) is correct.
Question 2
Question 1 – 8 are quantity comparison Questions. If 1 > x > 2,
Quantity A: x2 - 1
Quantity B: x2 + 1
A
Quantity A is greater.
B
Quantity B is greater.
C
The two quantities are equal.
D
The relationship cannot be determined from the information given.
GRE Quantitative 2    
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Question 2 Explanation: 
x cannot be less than 1 and greater than 2. So relationship cannot be determined. Option (D) is correct.
Question 3
Question 1 - 8 are quantity comparison Questions. If 95 < x < 99,
Quantity A: Highest Prime factor of x
Quantity B: Highest composite number less than 100
A
Quantity A is greater.
B
Quantity B is greater.
C
The two quantities are equal.
D
The relationship cannot be determined from the information given.
GRE Quantitative 2    
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Question 3 Explanation: 
x can be 96, 97 or 98
97 is the prime number

Quantity A: Highest prime factor of x = 97.
Quantity B: Highest composite number less than 100 is 99. 
So, quantity B is greater than quantity A. Option (B) is correct.
Question 4
Question 1 - 8 are quantity comparison Questions.
Quantity A: 32 * 33 * 36
Quantity B: 312
A
Quantity A is greater.
B
Quantity B is greater.
C
The two quantities are equal.
D
The relationship cannot be determined from the information given.
GRE Quantitative 2    
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Question 4 Explanation: 
32 * 33 * 36 = 311 = 1,77,147
312 = 5,31,441 

312 > 311 
So, quantity B is greater than quantity A Option (B) is correct.
Question 5
Question 1 - 8 are quantity comparison Questions. Question 5 - 6 are based on the information given below: In a university there are 1200 students 400 appeared for Physics exam only, 300 students appeared for Mathematics only. 100 students appeared for Biology exam only.100 students appeared for both Physics and Mathematics exam, 30 students appeared for both Physics and Biology test 40 students appeared for Physics and Mathematics. No one appeared for all three exams.
Quantity A: Number of the students not appeared in any exam
Quantity B: Number of the students appeared in more than 1 exam
A
Quantity A is greater.
B
Quantity B is greater
C
The two quantities are equal.
D
The relationship cannot be determined from the information given.
GRE Quantitative 2    
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Question 5 Explanation: 

Quantity A: Number of the students not appeared in any exam 
= 1200 - [400(Physics) + 300(Mathematics) + 100(Biology) 
           + 100(Physics and Mathematics) + 30(Physics and Biology) 
                               + 40(Physics and Mathematics)] 
= 230 

Quantity B: Number of the students appeared in more than 1 exam 
= 100(Physics and Mathematics) + 30(Physics and Biology) 
                                + 40(Physics and Mathematics) 
= 170 
Quantity A is greater than quantity B. Option (A) is correct.
Question 6
Question 1 - 8 are quantity comparison Questions. Question 5 - 6 are based on the information given below: In a university there are 1200 students 400 appeared for Physics exam only, 300 students appeared for Mathematics only. 100 students appeared for Biology exam only.100 students appeared for both Physics and Mathematics exam, 30 students appeared for both Physics and Biology test 40 students appeared for Physics and Mathematics. No one appeared for all three exams.
Quantity A: Number of students appeared for two exams except for Biology
Quantity B: Students appeared for biology exam
A
Quantity A is greater.
B
Quantity B is greater.
C
The two quantities are equal.
D
The relationship cannot be determined from the information given.
GRE Quantitative 2    
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Question 6 Explanation: 
Quantity A: Number of students appeared for two exams except Biology 
= 100(Physics and Mathematics)

Quantity B: Students appeared for biology exam 
= 100 + 30(Physics and Biology) + 40(Physics and Mathematics) 
= 170 
So, quantity B is greater than quantity A. Option (B) is correct.
Question 7
Question 1 - 8 are quantity comparison Questions.
Quantity A: Volume of the cylinder if height is halved
Quantity B: Volume of the cylinder if the radius is halved
A
Quantity A is greater.
B
Quantity B is greater.
C
The two quantities are equal.
D
The relationship cannot be determined from the information given.
GRE Quantitative 2    
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Question 7 Explanation: 
Volume of cylinder = π r2 h 
If height is halved then the volume will be halved from the original. If the radius is halved then the volume will be one four times from the original. Quantity A is greater than quantity B. So, option (A) is correct.
Question 8
Question 1 - 8 are quantity comparison Questions.
Quantity A: The area of polygon if all sides have a length 10 unit
Quantity B: The area of convex polygon whose interior angle measures 720'
A
Quantity A is greater.
B
Quantity B is greater.
C
The two quantities are equal.
D
The relationship cannot be determined from the information given.
GRE Quantitative 2    
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Question 8 Explanation: 
We can't determine the relationship until more information is given. So, option (D) is correct.
Question 9
This is multiple correct questions (one or more than one choices are correct). If A2 - B2 = 256 and A + B > A - B then what will be the possible value of A - B?
A
12
B
13
C
14
D
15
E
16
GRE Quantitative 2    
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Question 9 Explanation: 
A + B > A - B 

Multiply both side by A - B,

A2 - B2 > (A - B)2 
256 > (A - B)2

Take square root on both sides,
16 > A - B 
So, option (A), (B), (C) and (D) are correct.
Question 10
This is multiple correct questions (one or more than one choices are correct). Which of the following is a result of the sum of an integer and reciprocal of its successive integer?
A
133 / 12
B
31 / 6
C
10101 / 101
D
150157 / 388
E
2551 / 51
GRE Quantitative 2    
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Question 10 Explanation: 
133 / 12 = 11 + (1 / 12)
31 / 6 = 5 + (1 / 6)
10101 / 101 = 100 + 1 / 101
150157 / 388 = 387 + (1 / 388)
2551 / 51 = 50 + (1 / 51) 
So, all option are correct.
There are 20 questions to complete.
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