ISAT Quantitative Reasoning 3

Question 1

A company's profit increased by 20% in the first year and decreased by 15% in the second year. If the initial profit was $200,000, what was the profit at the end of the second year?

Accepted Answer

$204,000

Answer

After year 1: $200,000 x 1.20 = $240,000. After year 2: $240,000 x 0.85 = $204,000.

Question 2

Three pipes can fill a swimming pool. Pipe A fills it in 6 hours, Pipe B in 8 hours, and Pipe C in 12 hours. If all three pipes work together, how long will it take to fill the pool?

Accepted Answer

8/3 hours

Answer

Combined rate: 1/6 + 1/8 + 1/12 = 9/24 = 3/8 pools per hour. Time = 8/3 hours.

Question 3

A train 150 meters long passes a platform 250 meters long in 20 seconds. What is the speed of the train in km/h?

Accepted Answer

72 km/h

Answer

Total distance = 150 + 250 = 400 meters. Speed = 400/20 = 20 m/s = 72 km/h.

Question 4

If the ratio of boys to girls in a school is 3:5 and there are 240 students in total, how many more girls are there than boys?

Accepted Answer

60

Answer

Total parts = 8. Each part = 30. Boys = 90, Girls = 150. Difference = 60.

Question 5

A shopkeeper buys an article for $400 and marks it up by 50%. He then offers a 20% discount on the marked price. What is his profit percentage?

Accepted Answer

20%

Answer

Marked price = $600. Selling price = $600 x 0.80 = $480. Profit = $80. Profit % = 20%.

ISAT - International Student Admissions Test Practice Test

ISAT - International Student Admissions Test Practice Test

ISAT Quantitative Reasoning 3