DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 139)

Problem 1 :

At a certain party, an executive committee provided one soda for 8 people, one large bag of chips for 4 people, and one cheese cake for 6 people. If the total number of sodas, large bag of chips and cheese cakes was 78, how many people were at the party?

Solution :

Problem 2 :

The figure above shows trapezoid ABCD. If M is the midpoint of AD and AD = 3⋅BC, what fraction of the area of the trapezoid is shaded?

Solution :

Problem 3 :

Jackson wants to measure the length AB of a lake. In the figure above, AB is parallel to CD, DE = 6 feet, CD = 10 feet and BE = 300 feet. What is the length of the lake?

A)  250 feet

B)  275 feet

C)  375 feet

D)  500 feet

Solution :

Problem 4 :

In the figure above, point O is the center of the circle. If the length of TP is 10√3, what is the length of arc TM?

Solution :

Problem 5 :

If pipe S can fill a certain tank in 3 hours and pipe U can empty it in 4 hours. How long, in hours, would it take to fill the empty tank, when both pipes are open? 

A)  6

B)  8

C)  10

D)  12

Solution :

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