Practice these original QA questions with a timer of about 2 minutes each. They cover arithmetic, algebra, number system and modern maths, the areas that carry most marks in CAT.
Practice questions
Q1.A can finish a job in 12 days and B in 18 days. In how many days will they finish it together?+
Combined rate = 1/12 + 1/18 = 5/36 of the job per day, so time = 36/5 = 7.2 days.
Q2.A 40-litre mixture has milk and water in the ratio 3:1. How much water must be added to make the ratio 1:1?+
Milk is 30 litres and water 10 litres. For a 1:1 ratio water must also be 30, so add 20 litres.
Q3.How many three-digit numbers are divisible by 7?+
The first is 105 (7 x 15) and the last is 994 (7 x 142), so the count is 142 - 15 + 1 = 128.
Q4.If x + 1/x = 5, find x squared + 1/(x squared).+
(x + 1/x)^2 = 25 gives x^2 + 1/x^2 = 23.
Q5.Two dice are thrown. What is the probability that the sum is 8?+
Five favourable outcomes out of 36.
Q6.A shopkeeper marks an article 25% above cost price and gives a 10% discount. What is the profit percentage?+
1.25 x 0.9 = 1.125 of the cost price.
How to review your attempt
- Note the time you took for each question.
- For wrong answers, find whether the mistake was in concept, calculation or reading.
- Try a second method for each correct answer to build speed.
CAT 2026 QA Sample Paper FAQs
How much time should I give to a QA question?+
About 1.8 minutes on average, since QA has 22 questions in 40 minutes. Easy questions should take under a minute.
More on CAT 2026
Source & Disclaimer
Official source: iimcat.ac.in
Information on this page is compiled from the official CAT notification at iimcat.ac.in and trends from earlier cycles. Dates marked Expected are estimates, not official announcements. Please confirm all details on the official website.