DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 247)

Problem 1 :

C = (10 + 0.1m)(1 + r)

The Sunny Information and Telephone Company (SITC) calculates a customer’s total monthly cell phone charge using the formula above, where C is the total cell phone charge, r is the tax rate and m is the number of minutes the customer used that month. Last month a customer used 6 hours 40 minutes and paid $54. If the customer uses 8 hours this month, which of the following will be the customer’s cost this month?

A)  $56.25

B)  $62.64

C)  $70.56

D)  $85.25

Solution :

Problem 2 :

If 5x² – 5y² = 13 and x = y + 7, what is the value of x + y?

A)  8

B)  2

C)  23/33

D)  13/35

Solution :

Problem 3 :

Members of a reading club want to buy a science fiction books for their sponsors. If each member of the club contributes $4.00 towards the purchase of the book, they will still be short $7.00. If each member contributes $6.00, they will have a surplus of $9.00 after the purchase of the book. What is the price of the book in dollars?

A)  8

B)  24

C)  39

D)  48 

Solution :

Problem 4 :

A group of men agreed to share equally the cost of a hunting trip which they estimated to be $720. At the last minute, two of the men were unable to go, with the result that each of the others had to pay an additional $12. How many men actually went on the hunting trip?

A)  10

B)  12

C)  13

D)  14

Solution :

Problem 5 :

The average of m numbers is a and the average of n numbers is b. If the average of all the (m + n) numbers is k, what is the value of m?

Solution :

Problem 6 :

A scientist counts 80 cells in a petri dish and finds that each one splits into two new cells every hour. How many cells are in the petri dish after 5 hours?

Solution :

Problem 7 :

f(x) = ax³ + b

In the function defined above, a and b are constants. If f(-1) = 4 and f(1) = 10, what is the value of b?

Solution :

Problem 8 :

If (x, y) is the solution to the system of equations above, what is the value of x ?

Solution :

Problem 9 :

The original price of a suit is $1000. A salesman decides to discount it by 30%. Later on, the manager decides to give a 15% discount off the salesman's price. What is the final price of the suit?

A)  $350

B)  $485

C)  $550

D)  $595

Solution :

Problem 10 :

The circle above has center O. Which of the following line segments from the figure above is greatest in length?

A)  AB

B)  AD

C)  BC

D)  It cannot be determined from the information given.

Solution :

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