Use these original questions as an extra practice set after the QA sample paper. They are built to be solved in about two minutes each and cover compound interest, averages, boats and streams, and progressions.
Practice questions
Q1.What is the compound interest on INR 8,000 at 10% per annum for 2 years?+
Amount = 8000 x 1.1 x 1.1 = 9,680, so CI = 9,680 - 8,000 = 1,680.
Q2.The average of five numbers is 20. When one number is removed the average of the rest is 18. What is the removed number?+
Total of five = 100. Total of four = 72. Removed number = 28.
Q3.A boat goes 15 km downstream at a speed of 15 km/h and returns upstream at 9 km/h. What is the total time taken?+
Downstream time = 1 hour. Upstream time = 15/9 = 5/3 hours. Total = 8/3 hours = 2 h 40 min.
Q4.What is the sum of the first 20 terms of the series 5, 8, 11, ...?+
The sum is n/2 x [2a + (n - 1)d] = 10 x [10 + 57] = 670.
Topic-wise practice plan
| Topic | Daily practice | Weekly target |
|---|---|---|
| Arithmetic | 10 questions | 70 questions |
| Algebra | 6 questions | 40 questions |
| Number System | 5 questions | 30 questions |
| Geometry | 4 questions | 25 questions |
CAT Quantitative Aptitude Sample Papers FAQs
How many QA questions should I practise daily?+
Around 20 to 25 questions across topics, with at least some of them as TITA without looking at options.
More on CAT 2026
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