DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 151)

Problem 1 :

A right square pyramid has a total surface area of 19200 square inches and the combined surface area of the four lateral faces of the pyramid is 9984 square inches. What is the height of the pyramid, inches?

Solution :

Problem 2 :

In the sube above, the length of diagonal PQ is 12. What is the surface area of the cube?

A)  27

B)  64

C)  150

D)  288

Solution :

Problem 3 :

On a car trip, Adam drove 50 miles more than half the number of miles Benjamin drove. Benjamin drove his car for 5 hours at the rate of 40 miles per hour. If Adam also had taken the same time, what is the speed of Adam in miles per hour?

Solution :

Problem 4 :

A cellular phone company offers two plans A and B as given below.

Plan A :

A fixed fee $25, first 30 minutes free calls and $0.20 is charged for each additional minute.

Plan B :

A fixed fee $40, first 2 hours free calls and $0.45 is charged for each additional minute.

What is the number of minutes, when the total cost is the same for both plans?

Solution :

Problem 5 :

A tiger is 500 feet from its prey. It starts to sprint towards its prey at 88 feet per second. At the same time, the prey starts to sprint in the same direction at p feet per second. The tiger catches its prey in 20 seconds. The graphs shown above represent this relationship. Based on the graphs, what is the value of p?

A)  50

B)  63

C)  70

D)  72

Solution :

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