GAT Word Problems 1 — Questions and Answers
Question 1: A Saudi merchant buys 50 items at SAR 120 each and sells them at SAR 156 each. What is his total profit?
- SAR 1,200
- SAR 1,800 (Correct answer)
- SAR 2,400
- SAR 3,600
Correct answer: SAR 1,800
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?
- 11:00 AM
- 12:00 PM (Correct answer)
- 1:00 PM
- 2:00 PM
Correct answer: 12:00 PM
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?
- 3 days
- 4 days (Correct answer)
- 8 days
- 9 days
Correct answer: 4 days
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?
- 15
- 20 (Correct answer)
- 25
- 30
Correct answer: 20
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?
- 2 hours
- 2.4 hours (Correct answer)
- 3 hours
- 5 hours
Correct answer: 2.4 hours
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.
Question 6: A shopkeeper mixes 30 kg of rice at SAR 8/kg with 20 kg of rice at SAR 12/kg. What is the price per kg of the mixture?
- SAR 9.00
- SAR 9.60 (Correct answer)
- SAR 10.00
- SAR 10.40
Correct answer: SAR 9.60
Total cost = (30 × 8) + (20 × 12) = 240 + 240 = SAR 480. Total weight = 30 + 20 = 50 kg. Price per kg = 480/50 = SAR 9.60.
GAT Word Problems 1
A Saudi merchant buys 50 items at SAR 120 each and sells them at SAR 156 each.
What is his total profit?