DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 199)

Problem 1 :

f(x) = 2^{x + 2}

In the function above, which of the following is equivalent to f(a + b)?

A)  2(2^a + 2^b)

B)  4(2^a + 2^b)

C)  4(2^a ⋅ 2^b)

D)  4 + (2^a ⋅ 2^b)

Solution :

Problem 2 :

The sum of four numbers is 783. One of the numbers, a is 25% more than the sum of the other three numbers. What is the value of a?

A)  348

B)  435

C)  520

D)  585

Solution :

Problem 3 :

Mr. Lee brought reading books to his class. If each student takes 5 books, there will be 15 books left. If 5 students do not take a book and the rest of the students take 7 books each, there will be no books left. How many books were brought to the class ?

A)  140

B)  125

C)  120

D)  104

Solution :

Problem 4 :

In the xy-plane above, if line ℓ has a slope of -1/3, what is the area of triangle OPQ?

A)  37.5

B)  60

C)  62.5

D)  75

Solution :

Problem 5 :

In the figure above, BE : ED = 3 : 2. The area of ΔBEC is 15 and the area of ΔBEA is 12. What is the area of ΔAEC?

A)  15

B)  18

C)  20

D)  24

Solution :

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