TCS Digital Numerical Ability Syllabus & Practice Questions

1. Sura, a strongly distilled alcoholic drink, was used in ancient India as an anesthetic by surgeons. A 15-liter cask initially contains pure Sura up to the brim. The Sura is diluted by removing 5 liters and replacing that quantity with water. If Sura is diluted twice, what is the ratio of Sura to water in the cask?

2. Uma has 50 red and 50 blue balls. She has two bowls with her. She has to distribute the balls in these two bowls in such a way that none of the bowls are left empty. If one were to choose one of the two bowls at random and then randomly draw a ball from it, the probability of the ball being red is maximized. After this distribution, there will be a total of how many balls in the bowl with a larger number of balls

3. A Volvo bus from Chennai to Bangalore has 5 stops in between. At each stop, half of the people will get down. After reaching Bangalore there are only 2 people left. How many people are there on the bus when it starts?

4. 40% of Aman’s annual salary is equal to 15% of Bablu’s annual salary. Aman’s salary of 3 months is equal to Chintu’s salary of 2 months. What is the ratio of Aman, Bablu, and Chintu’s salary?

5. The speed of a common snail is about 1 mm per second. It secretes a bit of mucus that coats the ground beneath and helps it to move along. This snail we are interested in now has a problem with this secretion so it moves one mm in the first second and in the subsequent seconds, it moves only half the distance covered in the prey second. Algae, the good it cherishes, is at a 3-meter distance from this snail. In how much time will it reach its food?

6. The muzzle velocity of a bullet in a 5.56 INSAS rifle (Indian version of AK47) is 882 meters/sec. A sergeant holds this rifle facing the sky and shoots a bullet. What's the bullet’s maximum reachable altitude? Assume g = 9.8 m/sec/sec, Write your answer as a numeral without any other character.

7. 4 men can check exam papers in 8 days working 5 hours regularly. What are the total hours when 2 men will check the double of the papers in 20 days?

8. The expression 3(x^2)-mx+10 leaves a remainder of -2 when divided by X-3. What’s the value of m?

9. A and B together can do a piece of work in 18 days, B and C in 24 days, and A and C in 36 days. The number of days, all of them working together takes to complete the work, is

10. A man takes 3 hours 45 minutes to row a boat 15 km downstream of a river and 2 hours 30 minutes to cover a distance of 5 km upstream. Find the speed of the river current in km/hr.