ISAT Quantitative Reasoning 2

Question 1

A water tank is being filled at a rate of 3.5 liters per minute and simultaneously drained at 1.2 liters per minute. If the tank has a capacity of 460 liters and starts empty, how many minutes will it take to fill completely?

Accepted Answer

200 minutes

Answer

Net fill rate = 3.5 - 1.2 = 2.3 liters per minute. Time = 460 / 2.3 = 200 minutes.

Question 2

A store offers a 20% discount on all items, and members receive an additional 15% off the discounted price. If an item originally costs $85, what does a member pay?

Accepted Answer

$57.80

Answer

After 20% discount: $85 x 0.80 = $68. After additional 15%: $68 x 0.85 = $57.80.

Question 3

A car travels the first half of a journey at 60 km/h and the second half at 40 km/h. What is the average speed for the entire journey?

Accepted Answer

48 km/h

Answer

For equal distances, average speed is the harmonic mean: 2/(1/60 + 1/40) = 240/5 = 48 km/h.

Question 4

If 8 machines can complete a job in 6 days working 5 hours per day, how many machines are needed to complete the same job in 4 days working 6 hours per day?

Accepted Answer

10 machines

Answer

Total work = 8 x 6 x 5 = 240 machine-hours. Required machines = 240 / (4 x 6) = 10.

Question 5

A rectangular garden has a perimeter of 56 meters. If the length is 4 meters more than twice the width, what is the area of the garden?

Accepted Answer

160 sq meters

Answer

Let width = w. Length = 2w + 4. Perimeter: 2(w + 2w + 4) = 56, so w = 8. Length = 20. Area = 160 sq meters.

ISAT - International Student Admissions Test Practice Test

ISAT - International Student Admissions Test Practice Test

ISAT Quantitative Reasoning 2