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.
Question 8: A Concentrix employee earns ₹25,000 per month and spends 60% of her salary. How much does she save annually?
- ₹1,10,000
- ₹1,15,000
- ₹1,20,000 (Correct answer)
- ₹1,25,000
Correct answer: ₹1,20,000
Savings per month = 40% of 25,000 = ₹10,000. Annual savings = 10,000 × 12 = ₹1,20,000.
Spending = 60% of ₹25,000 = ₹15,000. Savings = ₹25,000 − ₹15,000 = ₹10,000 per month. Annual savings = ₹10,000 × 12 = ₹1,20,000. This combined percentage and multiplication problem mirrors real AMCAT mixed-section questions.
Question 9: Choose the word closest in meaning to 'PRAGMATIC':
- Idealistic
- Practical (Correct answer)
- Theoretical
- Emotional
Correct answer: Practical
'Pragmatic' means dealing with things sensibly and realistically. 'Practical' is the closest synonym.
'Pragmatic' comes from the Greek word for 'deed' or 'affair', and describes an approach based on practical considerations rather than theory or dogma. In AMCAT English, vocabulary tested often includes words relevant to workplace and professional contexts.
Question 10: If the price of a laptop is reduced by 15% to ₹51,000, what was the original price?
- ₹58,000
- ₹60,000 (Correct answer)
- ₹62,000
- ₹65,000
Correct answer: ₹60,000
Original price × (1 − 0.15) = 51,000 → Original = 51,000 ÷ 0.85 = ₹60,000.
After a 15% reduction, the price = 85% of original. So original = 51,000 / 0.85 = 60,000. Reverse percentage problems (finding original from discounted value) are a high-frequency question type in AMCAT quant.
Question 11: Identify the error: 'The data which was collected by the research team are being analyzed.'
- The data which
- was collected
- by the research team
- are being analyzed (Correct answer)
Correct answer: are being analyzed
'Data' is treated as singular in formal/corporate English. The verb should be 'is being analyzed', not 'are being analyzed'.
In formal professional English (as tested by AMCAT), 'data' is treated as a singular noun — similar to 'information'. The correct form is 'is being analyzed'. This grammar rule is commonly tested in AMCAT English modules for IT sector recruitment at TCS, Wipro, and Cognizant.
Question 12: In a group of 40 TCS applicants, the ratio of those who passed to those who failed is 3:1. How many applicants passed?
- 25
- 28
- 30 (Correct answer)
- 32
Correct answer: 30
Passed = 3 parts, Failed = 1 part, Total = 4 parts = 40. Each part = 10. Passed = 3 × 10 = 30.
Ratio passed:failed = 3:1, total parts = 4. Total applicants = 40, so each part = 40/4 = 10. Passed = 3 × 10 = 30. Ratio problems with totals are a standard AMCAT quant question type used in mass campus recruitment.
Question 13: Select the correctly punctuated sentence:
- The manager said, that the project would be delivered on Friday.
- The manager said that, the project would be delivered on Friday.
- The manager said that the project would be delivered on Friday. (Correct answer)
- The manager, said that the project would be delivered on Friday.
Correct answer: The manager said that the project would be delivered on Friday.
Indirect speech does not require a comma before 'that'. Option C is correctly punctuated.
Options A and B incorrectly place a comma. Option D places a comma between subject and verb unnecessarily. Option C is correct: 'The manager said that the project would be delivered on Friday.' Punctuation in reported speech is tested in AMCAT English grammar sections for all sectors.
Question 14: Two numbers are in the ratio 5:7. If their sum is 144, what is the larger number?
- 60
- 72
- 84 (Correct answer)
- 90
Correct answer: 84
Total parts = 5 + 7 = 12. Each part = 144 ÷ 12 = 12. Larger number = 7 × 12 = 84.
Ratio 5:7, sum = 144. Total parts = 12. One part = 144/12 = 12. Smaller number = 5 × 12 = 60. Larger number = 7 × 12 = 84. Verification: 60 + 84 = 144. This is a mixed-section style question combining ratios with arithmetic, typical of AMCAT's adaptive difficulty format.
