TCS Prime Placement Paper & Questions

1. In a survey, 50% of the respondents are male and the rest are female. If 60% of the male respondents and 80% of the female respondents favor a new policy, what fraction of the total respondents favor the policy?

2. A chef has a collection of spoons and forks – 25 silver, 45 gold, and 30 bronze. In a kitchen with poor lighting, he can differentiate between a spoon and a fork but not the colors. He wants to pick a fork. How many forks must he pick to be sure he has two forks of each color?

3. In the function S(P,Q)=110P−(60Q+75000), what value indicates the increase in S that corresponds to an increase in P, when Q is kept constant?

4. The clock starts at 4 PM. By 35 minutes past 7, the hour hand has turned through:

5. Anita is accurate with her forecasts 80% of the time, while Vikas is accurate 50% of the time. What is the percentage of cases in which Anita and Vikas will likely give contradicting forecasts on the same event?

6. The intensity (I) of a light wave can be related to its amplitude (A). In physics, the intensity is proportional to the square of the amplitude. If the amplitude of a wave has a dimension of L, what is the dimension of its intensity?

7. Vijay has 70 white and 70 black chess pieces. He must distribute these pieces between two boxes such that neither box is empty. To maximize the probability of randomly picking a white piece, how many pieces will be in the box with the larger number of pieces?

8. A flight from Kolkata to Chennai has 3 stops in between. At each stop, half of the passengers get down. If there are 5 passengers left when the flight reaches Chennai, how many passengers were there when the flight started from Kolkata?

9. A flare is shot vertically from a flare gun with a velocity of 300 meters/sec. What is the flare's maximum altitude? Assume g=−9.8m/sec^2.

10. A table and a chair cost Rs 120 together. The table costs Rs. 110 more than the chair. What is the cost of the chair?

11. 8 technicians can repair 16 machines in 4 days working 3 hours daily. How many hours per day must 4 technicians work to repair 32 machines in 8 days?

12. When I moved to my current neighborhood 15 years ago, there were 5 families in our community. Today, one family moved out and a new family moved in. The average number of years families have lived in the community is the same as when I moved in. How long had the family who moved out lived in the community?

13. A club plans to collect ₹7200 for charity by organizing events over 24 months, with the amount collected each month forming an Arithmetic Progression. After 18 months, they have collected three-fifths of the total amount. What is the value of the first month's collection?

14. From a pot, 2 liters of syrup was drawn out and was replaced by water. Again 2 liters of the mixture was drawn out and was replaced by water. Thus, the quantity of syrup and water in the pot after these two operations is 9:16. The quantity of the mixture is:

15. Anita is 5 times as efficient as Deepak. Anita completes the work in 24 days less than the number of days taken by Deepak to complete the work. To complete half of the work, what will be the number of days required by Anita and Deepak?