TCS written test papers with solution

In a circular racetrack of length 100 m, three persons A, B and C start together. A and B start in the same direction at speeds of 10 m/s and 8 m/s respectively. While C runs in the opposite at 15 m/s. When will all the three meet for the first time after the start?

My flight takes off at 2 AM from a place at 18N 10E and landed 10 Hrs later at a place with coordinates 36N 70W. What is the local time when my plane landed?

At a car park there are 100 vehicles, 60 of which are cars, 30 are vans and the remaining are Lorries. If every vehicle is equally likely to leave, find the probability of car leaving second if either a lorry or van had left first :

A red house is built from red bricks. A blue house is built from blue bricks. A white house is built from white bricks. Then what is a greenhouse made from?

Today's high school students spend too much time thinking about trivial and distracting matters such as fashion. Additionally, they often dress inappropriately on school grounds. Rather than spending time writing another detailed dress policy, we should make school uniforms mandatory. If students were required to wear uniforms, it would increase a sense of community and harmony in our schools and it would instill a sense of discipline in our students. Another positive effect would be that teachers and administrators would no longer have to act as clothing police, freeing them up to focus on more important issues.
This paragraph best supports the statement that

A boy wants to make cuboids of dimension 5m,6m & 7m from small cubes of .03m^3.Later he realized that he can make some cuboids by making it hollow.
Then it takes some cubes less. What is the number of cubes to be removed

The figure below shows a "size 3" equilateral triangle divided up into 9 "size 1" equilateral triangles. The figure has 6 upward facing and 3 downward facing "size 1" equilateral triangle 3 upward facing and no downward facing "size 2" triangle and 1 upward facing "size 3" triangle. It has a total of 13 equilateral triangle of all sizes.

The following size 6 triangle is divided up in the same way. What is the number of triangle that had the marked point on a side or a vertex?

Professor absent minded has a very peculiar problem, In that he cannot remember number larger than 15. However he tells his wife I can remember any number up to 100 by remembering the 3 numbers obtained as remainders when the number is divided by 3, 7 and 11 respectively. For example (2, 3, 6) is 17. Professor remember that he had (2, 4, 8) rupees in the purse. And he paid (2, 5, 4) rupees to the servant. How much money is left in the purse?

A, B, C, D and D each choose a large different number. A says, "My number is not the largest and not the smallest". B says, "My number is not the largest and not the smallest". C says, "My number is the largest". D says, "My number is the smallest". E says, "My number is not the smallest". Exactly one of the students is lying. The others are telling the truth. Who has the largest number?

A village milkman carries out adulteration of milk with water make higher profits. He has two cans, one with water and another with pure milk. He pours from can No. 1 into can
No.2 sufficient to double its contents. He again pour from N0.2 into No.1 enough of mixture to double the contents. He again pour from No.1 into NO.2 to double the contents of No.2
and find the same number of litres of milk in each can although there is one more of water No.2 than there is milk.How much more water than milk is there in can No.1?