GAT Word Problems

Question 1

A Saudi merchant buys 50 items at SAR 120 each and sells them at SAR 156 each. What is his total profit?

Accepted Answer

SAR 1,800

Answer

Profit per item = 156 - 120 = SAR 36. Total profit = 36 × 50 = SAR 1,800. Profit calculation word problems are common in the Qudurat.

Question 2

A train leaves Riyadh at 8:00 AM traveling at 120 km/h. Another train leaves Riyadh at 9:00 AM on the same route at 160 km/h. At what time will the second train catch the first?

Accepted Answer

12:00 PM

Answer

First train's head start = 1 hour × 120 km/h = 120 km. Relative speed = 160 - 120 = 40 km/h. Time to catch up = 120/40 = 3 hours after 9:00 AM = 12:00 PM.

Question 3

If 8 workers can build a wall in 6 days, how many days would 12 workers take to build the same wall?

Accepted Answer

4 days

Answer

Total work = 8 × 6 = 48 worker-days. With 12 workers: 48/12 = 4 days. This is an inverse proportion — more workers means fewer days.

Question 4

Nora's age is twice Salma's age. In 5 years, the sum of their ages will be 40. How old is Nora now?

Accepted Answer

20

Answer

Let Salma = x, Nora = 2x. In 5 years: (x+5) + (2x+5) = 40 → 3x + 10 = 40 → 3x = 30 → x = 10. Nora = 2(10) = 20 years old.

Question 5

A tank fills in 4 hours with Pipe A and 6 hours with Pipe B. How long to fill if both pipes work together?

Accepted Answer

2.4 hours

Answer

Rate A = 1/4 tank/hour. Rate B = 1/6 tank/hour. Combined rate = 1/4 + 1/6 = 3/12 + 2/12 = 5/12 tank/hour. Time = 12/5 = 2.4 hours.

Qudurat GAT Practice Test

Qudurat GAT Practice Test

GAT Word Problems