DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 208)

Problem 1 :

In the figure above, the cylindrical and cone-shaped containers have the same height of 12 inches and the same radius of 5 inches. If the cone-shaped container filled with water and then the water is poured into the empty cylindrical container, what will be the depth, in inches, of the water in the cylindrical container?

Solution :

Problem 2 :

In the xy-plane above, the graph of y = 2x² – 19x + 9 intersects the y-axis at P and the x-axis at R. What is the area of rectangle OPQR?

Solution :

Problem 3 :

-6 ≤ x ≤ 20

If the interval above is rewritten in the form |x – a|≤ k, what is the value of k?

Solution :

Problem 4 :

Mr. Trump drove to work in the morning at the average speed of 60 miles per hour. He returned home in the evening along the same route and averaged 45 miles per hour. To the nearest tenth, what is his average speed, in miles per hour, for the entire trip?

Solution :

Problem 5 :

A car has travelled to a destination at a speed S with time taken T. If the distance is now doubled and speed is half of its previous speed, then time taken by the car is

A)  T

B)  2T

C)  T/2

D)  4T

Solution :

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