Eight numerical questions in the Ignite style — one from each high-frequency topic — drawn from TCS placement papers and re-verified. Click an option to check your answer and read the working. Target: all eight in 12 minutes.
Which is the greatest four-digit number that is exactly divisible by 15, 25, 40 and 75?
Liquid A contains 25% water and liquid B contains 30% water. A vessel is filled with 6 parts of liquid A and 4 parts of liquid B. What is the percentage of water in the mixture?
A cow and a horse are bought together for ₹2,00,000. The cow is sold at a profit of 20% and the horse at a loss of 10%. The overall gain is ₹4,000. What is the cost price of the cow?
Jaya is twice as efficient as Maya and takes 30 days less than Maya to finish a piece of work. In how many days can the two finish the work together?
The difference between compound interest and simple interest on a principal of ₹15,000 for two years is ₹24. What is the annual rate of interest?
₹27,440 is divided among 5 women, 3 men and 1 child so that each woman, man and child receive amounts in the ratio 9 : 3 : 2. What is the child's share?
In a family of 10 adults and some minors, the average consumption of flour is 12 kg per person. If the average consumption per adult is 15 kg and per minor is 7 kg, how many minors are there?
Vikram said to his daughter, "I was as old as you are today when you were born." If Vikram is 45 today, what was his daughter's age 3 years ago?
Speed habits that matter here
- Memorise squares to 30, cubes to 20 and the common fraction–percentage pairs (1/8 = 12.5%, 1/6 = 16.67%).
- For two-year CI–SI problems, the difference is always P(r/100)² — a one-line answer.
- Use alligation for any average/mixture question: distance from the mean gives the ratio directly.
- Plug the options back into the question when algebra looks long — four options, no negative marking.
More of the same topics, at the same level: TCS NQT aptitude questions (a different question set).