DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 173)

Problem 1 :

A carton contains k boxes of paper cups and each box contains 100 paper cups. If the carton costs d dollars, what is the cost per paper cup in cents?

A)  kd

B)  d/k

C)  d/100k

D)  100k/d

Solution :

Problem 2 :

In the xy-plane above, lines ℓ and m are parallel and intersect the x-axis at x = a and x = b respectively. If a + b = 8, what is the value of a?

A)  1.5                

B)  2                   

C)  2.5                

D)  3

Solution :

Problem 3 :

(k – 2a)x + k – 11 = 5

In the equation above, a and k are constants. If the equation has infinitely many solutions, what is the value of a? 

A)  8

B)  16

C)  20

D)  24

Solution :

Problem 4 :

If the value of k^-5 is twice the value of 4k^-2, what is the value of k?

A)  -1/2

B)  -1/3

C)  2

D)  3

Solution :

Problem 5 :

The lines with equations y = 2x/3 and y = 2x – 8 are shown in the xy-plane above. What is the area of triangle OPR?

Solution :

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