NTS Quantitative Reasoning 2 — Questions and Answers
Question 1: If a shopkeeper buys an item for Rs. 800 and sells it at a 25% profit, what is the selling price?
- Rs. 900
- Rs. 1,000 (Correct answer)
- Rs. 1,050
- Rs. 1,100
Correct answer: Rs. 1,000
Profit = 25% of 800 = 200. Selling price = 800 + 200 = Rs. 1,000.
To find the selling price with a 25% profit margin, first calculate the profit amount: 25% × Rs. 800 = Rs. 200. Then add this profit to the cost price: Rs. 800 + Rs. 200 = Rs. 1,000. This is a common NTS question type testing basic percentage and profit calculations.
Question 2: A train travels 360 km in 4 hours. What is the average speed of the train in km/h?
- 80 km/h
- 85 km/h
- 90 km/h (Correct answer)
- 95 km/h
Correct answer: 90 km/h
Average speed = Total distance / Total time = 360 / 4 = 90 km/h.
Average speed is calculated by dividing the total distance covered by the total time taken. Here, the train covers 360 km in 4 hours, so average speed = 360 ÷ 4 = 90 km/h. Speed, distance, and time problems are frequently tested in NTS quantitative reasoning sections.
Question 3: What is the value of 15% of 240?
- 32
- 34
- 36 (Correct answer)
- 38
Correct answer: 36
15% of 240 = (15/100) × 240 = 36.
To calculate 15% of 240, convert 15% to a decimal (0.15) or fraction (15/100), then multiply: 0.15 × 240 = 36. A quick method is to find 10% (24) and 5% (12) and add them: 24 + 12 = 36.
Question 4: If 3x - 7 = 14, what is the value of x?
- 5
- 6
- 7 (Correct answer)
- 8
Correct answer: 7
3x - 7 = 14 → 3x = 21 → x = 7.
Solving the linear equation step by step: 3x - 7 = 14. Add 7 to both sides: 3x = 21. Divide both sides by 3: x = 7. Linear equations with one variable are a staple of NTS quantitative reasoning.
Question 5: A pipe can fill a tank in 6 hours. How much of the tank will be filled in 2 hours?
- 1/4
- 1/3 (Correct answer)
- 1/2
- 2/3
Correct answer: 1/3
In 1 hour, the pipe fills 1/6 of the tank. In 2 hours, it fills 2/6 = 1/3.
If the pipe fills the entire tank in 6 hours, then in 1 hour it fills 1/6 of the tank. In 2 hours, it fills 2 × (1/6) = 2/6 = 1/3 of the tank. Work and time problems like these are common in NTS exams and require understanding of rates.
Question 6: The ratio of boys to girls in a class is 3:5. If there are 40 students in total, how many boys are there?
- 12
- 15 (Correct answer)
- 18
- 20
Correct answer: 15
Total parts = 3 + 5 = 8. Boys = (3/8) × 40 = 15.
The ratio 3:5 means for every 8 students (3+5), 3 are boys and 5 are girls. With 40 total students: each part = 40/8 = 5 students. Boys = 3 × 5 = 15. Girls = 5 × 5 = 25. Ratio problems are tested extensively in NTS quantitative sections.
NTS Quantitative Reasoning 2
If a shopkeeper buys an item for Rs. 800 and sells it at a 25% profit, what is the selling price?