DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 95)

Problem 1 :

At a retail store, a sales person can choose between two salary options. The first option is a monthly salary of $2,800. The second option is a monthly salary of $1,500 and a $12 commission on each dress shirt sold. Which of the following inequalities gives the number of dress shirts x that must be sold in a month for the salary offered by the second option to exceed the one offered by the first?

A)  x > 108

B)  x ≥ 108

C)  x > 109

D)  x ≥ 109

Solution :

Problem 2 :

The table above shows the number of coffee shops in seven different towns. Removing which of the following towns from the data would bring the mean number of coffee shops and the median number of coffee shops for the six remaning towns closest together in value?

A)  Town A

B)  Town B

C)  Town C

D)  Town D

Solution :

Problem 3 :

A store owner increases the price of a pillow by 35 percent, but a customer uses a coupon to buy the pillow at 35 percent off the already increased price. If the original price of the pillow was p dollars, which of the following represents the final price in terms of p?

A)  (1.35)(0.65)p

B)  (1.35)(1.65)p

C)  (0.35)(1.65)p

D)  1.35p – 0.35p  

Solution :

Problem 4 :

The side of a tire is shown above. The surface area S of the tire is given by S = π²(R² – r²), where R is the outer radius and r is the inner radius. Which of the following expresses the outer radius in terms of the surface area and the inner radius?

Solution :

Problem 5 :

A coal-processing plant can process 90 tons of coal per minute. Three trucks can deliver 135 tons of coal per hour. What is the minimum number of trucks necessary to keep up with the plant?

A) 40

B) 80

C)  100

D)  120

Solution :

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