GMAT Practice Test Quantitative (Problem Solving)

Question 1

Jed has more than twice as many strawberries as Dianna, but only half as many as Lisa.
If Dianna has ‘a' number of strawberries, how many strawberries do Jed, Dianna, and Lisa have in terms of ‘a'?

Accepted Answer

7a+6

Answer

6a+7

Answer

2a+ 4

Answer

9a+4

Question 2

Milk should be thinned to a 3:2 ratio of milk to water. The milkman accidentally added water, resulting in 8 liters of milk that is half water and half milk. What must he add to correct the proportions of the mixture?

Accepted Answer

2 liters milk

Answer

1 liter water

Answer

3 Liter milk

Answer

1.5 liter milk

Question 3

A rectangle's width is 2/3 times its length. What is the perimeter of this rectangle if the length is calculated to be 9?

Accepted Answer

30

Answer

9

Answer

12

Answer

36

Question 4

A line l passes through the point and is parallel to the y-axis (2,3). What are the gradient (m) and x-intercept?

Accepted Answer

m= ∞ , x= (2,0)

Answer

m= ∞ , x= (3,0)

Answer

m= 0 , x= (3,0)

Answer

m= 0 , x= (2,0)

Question 5

What is the equation of the new parabola formed by shifting y = x2 three units to the positive y-axis?

Accepted Answer

y = x2 + 3

Answer

y = x3

Answer

y = (x+3)2

Answer

3y = x2

Question 6

A sphere with a diameter of 1 unit is enclosed in a cube with sides of 1 unit each. Find the remaining unoccupied volume inside the cube.

Accepted Answer

1-π/6

Answer

2π

Answer

1-π/4

Answer

π/6-1

Question 7

If a triangle's greatest side is A, and the other two sides are B and C. What is the connection between them?

Accepted Answer

A>|B-C|

Answer

A=B+C

Answer

A=π(B-C)

Answer

A+C

Question 8

The City Opera House is growing. The city block containing the opera house is currently rectangular in shape, with a total volume of 9600 feet. What is the new volume if the expanded Opera House is 2.5 times as long, wide, and deep as the original structure?

Accepted Answer

150,000

Answer

245,000

Answer

67,000

Answer

75,000

Question 9

In a university of 200 people, the number of Psychology majors is 50 less than four times that of Computer Science majors. How many club members are Computer Science majors if one-fifth of the club members are neither Psychology nor Computer Science majors, and no club member is majoring in both Psychology and Computer Science?

Accepted Answer

42

Answer

95

Answer

50

Answer

71

Question 10

If the total cost of 20 pairs of shoes is equal to the total revenue generated by the sale of 25 pairs of shoes, what is the percentage of profit or loss made on each pair of shoes sold, assuming each pair of shoes costs the same dollar amount and is sold for the same dollar amount?

Accepted Answer

20% loss

Answer

5% profit

Answer

25% loss

Answer

25% profit

Jed has more than twice as many strawberries as Dianna, but only half as many as Lisa.If Dianna has ‘a' number of strawberries, how many strawberries do Jed, Dianna, and Lisa have in terms of ‘a'?

Jed has more than twice as many strawberries as Dianna, but only half as many as Lisa.
If Dianna has ‘a' number of strawberries, how many strawberries do Jed, Dianna, and Lisa have in terms of ‘a'?