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GRE Sample Questions » Quantitative Section : Quantitative Comparision

# Quantitative Section : Quantitative Comparision

There are two different quantities provided below. You have to find out the relation between these two quantities.

1. a is a positive integer
2/8 = a/b
Quantity A: b
Quantity B: 5

1. Quantity 2 is greater than quantity 1
2. Quantity 1 is greater than quantity 2
3. Both the quantities are equal
4. There is no relationship between the two quantities

Ans : D

Explanation:
2/8 = a/b
2b/8 = a
b/4 = a
Therefore (d) is the right answer

2. The circumference of a circle is equal to the perimeter of a square. Quantity 1: the area of the square Quantity 2: the area of a circle

1. Quantity 2 is greater than quantity 1
2. Both the quantities are equal
3. Quantity 1 is greater than quantity 2
4. Relation cannot be defined

Ans : C

Explanation:

Explanation:
In case of a circle, the circumference (C) = 2pr and the area (A) = pr2; where r is the radius
In case of a square, the perimeter (P) is 4s and the area (As) is s2; where s is the side
Let the r = 1; C = 2π(1) = 2π and A = πr2 = π(1)2 = π = 3.14
P = C; 4s = 2π = 6.28; s = 6.28/4 = 1.57 and As = s2 = (1.57)2 = 2.46
Therefore, the area of circle is greater than the area of square.

3. Every student in the John’s class is either 10, 11 or 12 years old. One third of the class students are 12, while twice as many school students are 12 as 11.
Quantity 1: number of 10 year old school students
Quantity 2: number of 12 and 11 year old school students

1. Quantity 2 is greater than quantity 1
2. Both quantities are equal
3. Quantity 1 is greater than quantity 2
4. Relation cannot be determined

Ans : D

Explanation:
Let x = 1
C = {(1 + 5)/6} – {(1 + 1)/9} = 1-(2/9) = (9 – 2)/9 = 7/9
D = (1 + 2)/4 = 3/4
Therefore C is not equal to D

4. Q = (x-2)(x)(x+2)
R = (x)(x)(x)(x)

1. Q is equal than R
2. Q is greater than R
3. There is no relation between Q and R
4. R is greater than Q

Ans : C

Explanation:
Let x = 1
Q = (1 – 2)(1)(1 + 2) = (-1)(1)(3) = -3
R = (1)(1)(1)(1) = 1
Therefore (c) is the right answer

5. Y= (2 * 4 * 10)/(1600)1/2
X = (4 * 5 * 16)/(32 * 50) 1/2

1. Y is greater than X
2. Y is equal to X
3. X is greater than Y
4. No relationship between X and Y

Ans : B

Explanation:
Y = (2 * 4 * 10)/(1600) 1/2 = 80/32 = 2.5
X = (4 * 5 * 16)/(32 x 50) 1/2 = 320/32 = 2.5

6. In a right angled triangle ABC,
1 = AB = BC
2 = AC

1. 1 is equal to 2
2. 2 is greater than 1
3. 1 is greater than 2
4. There is no relation between 1 and 2

Ans : B

Explanation:
As this is a right angled equilateral triangle, we apply the Pythagoras theorem.
Let AB = a, BC = b and AC = c
According to the Pythagoras theorem, a2 + b2 = c2
As the square of the third side is the sum of the squares of the other two sides, option

7. A= (7x – 4)/3 = x + 4
B = (5x – 3)/2 = x + 3

1. A is equal to B
2. B is greater than A
3. B is smaller than A
4. Relation not defined

Ans : D

Explanation:
For A: 7x-4 = 3x+12
4x = 16
x = 4
For B: 5x-3 = 2x+6
3x = 9
x = 3
Hence no relation

8. A = x2 + y2 = 36
B = xy = 15

1. There is no relation between A and B
2. A is equal to B
3. A is greater than B
4. B is greater than A

Ans : A

Explanation:
For A: x2 +y2 = 36
For B: xy = 15
Squaring both sides
x2y2 = 225
Hence no relation

9. Alex builds a 4 feet wall in 8 days, while Frank builds a 122 cm wall in 4 days. Determine whether

1. Alex built the wall faster than Frank
2. Frank built the wall faster than Alex
3. Alex and Frank finished building the wall at the same time
4. There is no relation between the Alex and Frank’s wall

Ans : B

Explanation:
122 cm = 4 feet and Frank built the wall in 4 days,
while Alex took 8 days, therefore option

10. A = the number of months in 8 years
B = the number of days in 14 weeks

1. A is greater than B
2. A is equal to B
3. B is greater than A
4. There is no relation between A and B

Ans : C

Explanation:
A = 12 * 8 = 96
B = 7 * 14 = 98
Therefore B is greater than A

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GRE Sample Quantitative Ability Question Number : 1-10 | 11-20 | 21-30 | 31-40 | 41-50 | 51-60
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