AMCAT AMCAT Quantitative and English Aptitude 1 — Questions and Answers
Question 1: A shopkeeper in Delhi buys goods worth ₹4,500 and sells them at a profit of 20%. What is the selling price?
- ₹5,200
- ₹5,400 (Correct answer)
- ₹5,000
- ₹4,900
Correct answer: ₹5,400
Selling price = Cost price × (1 + profit%) = 4500 × 1.20 = ₹5,400.
Profit% = 20%, so profit amount = 20% of ₹4,500 = ₹900. Selling price = ₹4,500 + ₹900 = ₹5,400. This type of profit/loss question is extremely common in AMCAT quantitative sections used by companies like TCS, Wipro, and Concentrix for campus hiring.
Question 2: The average score of 5 students in a Wipro aptitude test is 72. If a sixth student scores 90, what is the new average?
- 74
- 75 (Correct answer)
- 76
- 77
Correct answer: 75
Total of 5 students = 5 × 72 = 360. New total = 360 + 90 = 450. New average = 450 ÷ 6 = 75.
Step 1: Original total = 5 × 72 = 360. Step 2: Add the 6th student's score: 360 + 90 = 450. Step 3: New average = 450 ÷ 6 = 75. Averages questions test your ability to work with group data, a core skill assessed in AMCAT for IT and BPO sector placements.
Question 3: A and B together can complete a project in 12 days. A alone can complete it in 18 days. In how many days can B alone complete the project?
- 24 days
- 30 days
- 36 days (Correct answer)
- 28 days
Correct answer: 36 days
B's rate = (A+B's rate) − A's rate = 1/12 − 1/18 = 3/36 − 2/36 = 1/36. So B alone takes 36 days.
A+B together complete 1/12 of the work per day. A alone completes 1/18 per day. B alone completes 1/12 − 1/18 = (3−2)/36 = 1/36 per day. Therefore B needs 36 days. Time and work problems are heavily tested in AMCAT and Concentrix recruitment aptitude screens.
Question 4: If 40% of a number is 160, what is 25% of that number?
- 90
- 100 (Correct answer)
- 110
- 80
Correct answer: 100
Number = 160 ÷ 0.40 = 400. 25% of 400 = 100.
40% of N = 160 → N = 160/0.40 = 400. Now 25% of 400 = 400 × 25/100 = 100. Percentage problems are a staple of AMCAT quant sections; TCS NQT and AMCAT both test this skill heavily.
Question 5: The ratio of boys to girls in a TCS training batch is 3:2. If there are 30 boys, how many girls are there?
- 15
- 18
- 20 (Correct answer)
- 25
Correct answer: 20
Boys:Girls = 3:2. If boys = 30, then girls = (2/3) × 30 = 20.
Ratio 3:2 means for every 3 boys there are 2 girls. Boys = 30 = 3 parts, so 1 part = 10. Girls = 2 parts = 20. Ratio and proportion questions appear in virtually every AMCAT quantitative section.
Question 6: A train travels 300 km in 4 hours. What is its average speed in km/h?
- 60
- 70
- 75 (Correct answer)
- 80
Correct answer: 75
Speed = Distance ÷ Time = 300 ÷ 4 = 75 km/h.
Average speed = Total Distance / Total Time = 300 km / 4 hours = 75 km/h. Speed, distance, and time problems are tested in AMCAT under the quantitative ability module and appear in Infosys, Wipro, and Capgemini campus drives.
Question 7: A sum of ₹8,000 is invested at 10% per annum simple interest for 3 years. What is the total amount at the end?
- ₹10,200
- ₹10,400 (Correct answer)
- ₹10,000
- ₹10,800
Correct answer: ₹10,400
SI = P×R×T/100 = 8000×10×3/100 = ₹2,400. Total = 8000 + 2400 = ₹10,400.
Simple Interest = (8000 × 10 × 3) / 100 = 240000 / 100 = ₹2,400. Total Amount = Principal + SI = ₹8,000 + ₹2,400 = ₹10,400. Simple interest is a fundamental topic in AMCAT quant, commonly tested in banking and IT sector placements.
AMCAT AMCAT Quantitative and English Aptitude 1
A shopkeeper in Delhi buys goods worth ₹4,500 and sells them at a profit of 20%.
What is the selling price?