TCS Placement Questions & Answers :: TCS

Answer: Option B

Total ways of selecting 3 dots out of 15 is 15C3 = 455 If 3 dots are collinear then triangle may not be formed. Now look at the above diagram.
If we select any 3 dots from the red lines they may not form a triangle. They are 3 x 5C3 = 30.
If we select the three letters from blue lines, they may not form a triangle.
They are in total 5 ways. Also there are 6 others lines which don't form a triangle. Also another two orange lines.
Total = 30 + 5 + 6 + 2 = 43. So we can form a triangle in 455 - 43 = 412.
So, answer = 412/455.

Answer: Option C

First if we count 1223334444. They are 10
In the next term they are 20

Next they are 30 and so on
So Using n(n+1)2*10?2888


For n = 23 we get LHS as 2760. Remaining terms 128.


Now in the 24th term, we have 24 1's, and next 48 terms are 2's. So next 72 terms are 3's.

The 2888 term will be "3".

Answer: Option C

Profit = 4200 Profit =SP - CP

4200=SP - 300000 therefore SP=304200 x+y = 300000

1.2x + 0.9y = 304200
Solving for x = 114000 = CP of cow.

Answer: Option D

(Tues + Wed + Thurs)/3=37 Tues + Wed + Thurs=111...(1) (Wed + Thurs + Fri)/3=38 (Wed + Thurs + Fri) =114...(2) Given Friday is 39.

Then, (2) - (1) Fri - Tues = 3 So 39 - Tues = 3
Tuesday =36

Answer: Option A

For a number to be divisible by 25, last two digits of that number should be divisible by 25. So b must be either 2 or 7
It is given that ab must be divisible by 13 and in the options only 52 is divisible by 13.

Answer: Option B

We need two person for one side and 1 women for the another side. We select that women in 7 ways. Now that second side people can sit in 7*4! ways.

Now for the first side we need two people from the remaining 14. So this can be done in 14C2 ways and this side people can sit in 4C2*4! ways.

Again the first group may take any of the two sides. So total ways are 2*7*4!*14C2*4!

Answer: Option C

Let us time taken by eesha daily = x
and usual speed = y
extra time taken = 50-30 = 20 min
So, (x+20)*(0.75*y) = x*y ----- (1)
0.75x+15 = x
=> 0.25x = 15
=> x = 60 min

Answer: Option B

Let us assume the speeds of alvin,ben,clinton = A,B,C resp.
and the length of race = d
let in time t alvin finishes the race
A*t=d
B*t=d-48 ------- (1)
C*t=d-72 --------(2)
So,B:C=(d-48):(d-72) ------- (3)
Now Ben covers 48 mt more to complete the race.
In the same time Clinton covers 40mt (as it is given that he is beaten by 32mt by ben)
So,B:C=48:40....(4) (speed proportional to distance covered if time is same)
By, comparing equation (3) and (4)
d=192 mt

Answer: Option C

Lets assume the base of number = X
Convert all the number to base X
(1*X + 2*X^0)*(2*X + 5*X^0) = (3*X^0 + 3*X^1 + 3*X^2)
By solving the above eq. X=7

Answer: Option D

George investiment for year is 6*15000+12*15000 = 2,70,000
Paul = 12*40,000 = 4,80,000
Hari = 50,000*12 = 6,00,000
Their ratio is 9 : 16 : 20
Given, profit = Rs. 90000
So, paul share = (90000)*16/45 = Rs. 32000