# FREE CFAT Problem Solving Questions and Answers

#### A lamp's watt rating is 60. After 10 hours of operation, how many kWh does it consume?

#### A pair of identically dense balls, one big and one small, are rolled in the same direction at the same pace. What will happen to the bigger ball when they collide?

#### A swimming pool measuring 22 feet long, 10 feet broad, and 5 feet tall holds how many cubic feet of water?

#### A pie is sliced so that one piece, one-quarter of the pie, is twice the size of the other portions. How many pieces of pie are cut?

#### Rose buys 7 apples, gives three to Samantha, and then gives Gary half of what is left. How many apples does Gary receive?

#### If one officer is assigned to every 16 privates in the army, how many officers are there in a regiment of 1,105 officers and privates?

#### If a child can run 10 metres while a car travels 30 metres, how far can the child run if the automobile travels 66 metres?

#### Employees at a discounted appliance store get an extra 20% off the lowest price on any item. If an employee buys a dishwasher during a 15% discount sale, how much will he pay if the appliance was originally $450?

The dishwasher's initial price was $450. During the 15% off promotion, the dishwasher's price will be lowered by: 15% of $450 = 0.15 x $450 = $67.50 So, the dishwasher's retail price will be: $450 - $67.50 = $382.50 As an employee, the person saves an additional 20% on the lowest price, which is $382.50. We may compute the extra discount as follows: 20% of $382.50 = 0.20 x $382.50 = $76.50 So the ultimate cost that the employee will pay for the dishwasher is: $382.50 - $76.50 = $306.00 As a result, the employee will pay $306.00 for the dishwasher.

#### A car's selling price is $12,590, which is 20% off its original price. What was the initial price?

Original price = x, 80/100 = 12590/X, 80X = 1259000, X = 15,737.50

#### A box contains 28 blue pencils and 7 black pencils. What is the ratio of the black and blue pens?

The ratio of black and blue pens is 7 to 28, or 7:28. Dividing both sides by 7 yields 1:4.

#### If Jenny can paint a property in 4 hours and Mark can paint the same house in 6 hours, how long will it take for both of them to paint the house?

This is an inverse ratio problem. 1/x = 1/a + 1/b, where an is Jenny's painting time, b is Mark's painting time, and x is the combined painting time of Jenny and Mark. So, 1/x = 1/4 + 1/6 We use the smallest common multiple in the denominator, 24. 1/x = 6/24 + 4/24 1/x = 10/24 x = 24/10 x equals 2.4 hours. In other words, 2 hours plus 0.4 hours is 2 hours plus 0.4 times 60 minutes. = 2 hours, 24 minutes.