DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 127)

Problem 1 :

A company ships medium and large refrigerators by using trucks of two different sizes. A large truck can carry 4 medium refrigerators and 5 large refrigerators. A small truck can carry 3 medium refrigerators and 2 large refrigerators. If a is the number of large trucks and b is the number of small trucks, which of the following represents the number of trucks of each size necessary to deliver an order for 20 medium refrigerators and 30 large refrigerators?

A)  4a + 3b ≥ 20

      2a + 5b ≥ 30

B)  3a + 4b ≤ 20

      5a + 2b ≤ 30

C)  4a + 3b ≥ 20

      5a + 2b ≥ 30

D)  4a + 3b ≤ 30

      5a + 2b ≤ 20

Solution :

Problem 2 :

2x² – 10x + k = 0

The equation above, in which k is a constant, has two solutions m and n.   If m > n and m – n = 9, what is the value of n?

A)  -5

B)  -2

C)  4

D)  7

Solution :

Problem 3 :

In the figure above, the line ℓ intersects a regular pentagon. What is the value of a + b?

Solution :

Problem 4 :

sin 24 = cos (3k + 6)

In the equation above, the angle measures are in degrees.    If 0° < k < 90°, what is the value of k?

Solution :

Problem 5 :

Traveling at an average speed of 40 miles per hour, a bus takes 3 hours to complete its morning route. At what average speed, in miles per hour, must the bus travel, if it is to complete its morning route in 2.5 hours?

Solution :

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