Eight quantitative questions at HCL CAT level — ratio, speed, percentages, decimals, progression, averages and interest — taken from HCLTech placement papers and re-solved. Click an option to check yourself and read the working. Target: all eight in 10 minutes, without a calculator (you will not have one in the test).
Two numbers are in the ratio 3 : 17. If the first number is 12, what is the other number?
A cheetah runs at a speed of 180 km/h. How long does it take to cover 400 m?
Matt's share is 20% less than Kate's share. By what percentage is Kate's share more than Matt's?
What decimal of 10 hours is one minute?
Three numbers are in arithmetic progression. Their sum is 15 and their product is 105. What are the numbers?
Evaluate: (25% of 360) + (35% of 400).
The average of four consecutive odd numbers is 12. What is the smallest of these numbers?
₹100 is invested at 10% per annum compound interest. In how much time will it grow to ₹121?
Shortcuts worth memorising
- km/h → m/s: multiply by 5/18. (m/s → km/h: multiply by 18/5.)
- Fraction–percentage pairs: 1/8 = 12.5%, 1/6 = 16.67%, 1/3 = 33.33%, 3/8 = 37.5%.
- "x% less" vs "y% more": if A is 20% less than B, B is 25% more than A — the base changes.
- Consecutive numbers: the average is the middle term; for an even count it is midway between the two middle terms.
- Compound interest, 2 years: amount = P(1 + r/100)²; the CI − SI difference is P(r/100)².
- Options are a tool: with no negative marking, plug the options back into the question when algebra looks long.
Want a harder set at graduate level? The HCLTech GET aptitude questions use a different question set from the same papers.