DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 242)

Problem 1 :

If a/2b = 5, what is the value of 15b/2a?

A)  2/3

B)  3/4

C)  7/2

D)  15/2

Solution :

Problem 2 :

Which of the following is equal to a^1/2/a^-1/3?

A)  ⁶√a

B)  √6⁵

C)  ⁶√a⁵

D)  ⁵√a⁶

Solution :

Problem 3 :

The equation 3x³ – 5x + 5 = (3x² + 3x – 2)(x – 1) + a is true for all values of x, where a is a constant. What is the value of a?

A)  3

B)  5

C)  7

D)  8

Solution :

Problem 4 :

A pharmaceutical company receives a monthly salary of $3000 plus a commission of k percent of his sales. If the salesperson's monthly wage is $7200, what are his sales in terms of k?

A)  7200k

B)  4200k

C)  4200/k

D)  420000/k

Solution :

Problem 5 :

On a trip downtown, Peter drove his car at an average speed of 50 miles per hour. On the return trip due to bad weather, he drove his car at an average rate of 30 miles per hour and the return trip took 1 hour longer. How much time did he spend on the returning trip?

A)  1.5 hours

B)  2 hours

3)  2.5 hours

D)  3 hours

Solution :

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