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# Placement Questions & Answers :: TCS

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Not Attempted

311. 2 workers, one young and one old, live together and work at the same office. It takes 20 minutes for the young man to walk to office. The old man takes 30 minutes for the same distance. When will the young man catch up with the old man if the old man starts at 10:00 a.m. and the young man start 10:05 a.m.?

Explanation:

Time ratio is 3:2, so
3 min for old = 2 min fro young
1 min for old = 2/3 min fro young
Now we will take multiple of 3 both side,
3 min for old = 2 min fro young
6 min for old = 4 min fro young
9 min for old = 6 min fro young
12 min for old = 8 min fro young
15 min for old = 10 min fro young and so on
Now the difference of time to start for old and young is 5 min. So when they meet then old will take 5 minute more than young ( or their time difference should be 5 min) which is given by only
15 min for old = 10 min fro young
So at 10:15 for old and for young it is 10:05 + 10 min = 10:15

Tags: TCS

Not Attempted

312. Consider all permutation (i.e. arrangements) of the digits 1 2 and 3. We will say that a hit has been scored if at least one digit occurs in its proper position in the permutation i.e. if one occurs in the 1st position or 2 in the 2nd position or 3 in the 3rd position. In how many of these permutations is a hit scored?

Explanation:

1 can be arrange in 123, 132
2 can be arrange in 321
3 can be arrange in 213

So, No. of possobolity = 4.

Tags: TCS

Not Attempted

313. Raj earns 25% on an investment but loses 10% on another investment. If the ratio of thetwo investments is 3:5, what is the gain or loss on the two investments taken together?

Explanation:

2 investments to be 3x and 5x
Total income of Raj = (3x)*1.25+(5x)*0.9 = 8.25
Therefore gain% = 0.25/8*100 = 3.125%

Tags: TCS

Not Attempted

314. A 3*3 grid is colored using red and blue colors, such that if we rotate the grid about its centre in the plane by 180 degrees, the grid looks the same. The number of ways to color the grid this way is:

Explanation:

Here is no explanation for this answer

Tags: TCS

Not Attempted

315. Oranges can be packed in sets of 10 oranges in box type A or 25 orange in box type B. A carton comprising of 1000 oranges of type A and type B boxes is packed. How many different combinations are possible in the number of type A and type B boxes while organizing the oranges?

Explanation:

The expression will be 10x+25y=1000 ----------(1)
The exp (1) satisfied only with multiples of 2 up to 38.
so no. of combinations are 19.
if oranges are packed in type A boxes only= 1 way
if oranges are packed in type B boxes only= 1 way
Hence total = 19+1+1 = 21

Tags: TCS

Not Attempted

316. What is the largest number that will divide 90207, 232585 and 127986 without leaving a remainder?

Explanation:

Given numbers are 90207,127986 and 232585.

To Get the greatest number which divides given numbers without leaving a remainder.

i.e find the HCF of given numbers.
90207=3*3*3*13*257
127986=2*3*83*257
232585=5*181*257
=> 257 is the largest number.

Tags: TCS

Not Attempted

317. A,B ,C can do some work in 36 days. A and B together do twice as much work as C can do alone, and A and C together can do thrice as much work as B alone can do. Find the time taken by C to do whole work?

Explanation:

Given A, B and C can do some work = 36 days.

=> (A+B+C) can do work in 1 day = 1/36
=> (A+B+C) = 1/36 -----------------(i)
Given (A+B) = 2C ----------------(ii)

From eq. (i)and(ii)
3C = 1/36
C = 1/108

=> C takes 108 days to complete whole work alone.

Tags: TCS

Not Attempted

318. Two poles of height 6 meters and 11 meters stand on a plane ground. If the distance between their feet is 12 meters then find the difference in the distance between their tops:

Explanation:

Distance between their tops = sqrt( 12^2+(11-6)^2)
= sqrt 169
= 13m

Tags: TCS

Not Attempted

319. Three terrorists are employed to shoot a renowned person Mr. X. Only one bullet is sufficient to kill him if it strikes in the head. The probabilities of the terrorists striking Mr. X's head by their bullets are 0.2, 0.3, and 0.4. What is the probability that Mr. X is shot dead?

Explanation:

Probability of Mr. X shot dead = Probability of atleast one terrorist shoot on head
= 1 - (Probability of None shoot on head)
=1-(0.8*0.7*0.6)
=0.664

Tags: TCS

Not Attempted

320. A person starts writing all 4 digits numbers.How many times had he written the digit 2?

Explanation:

When 2 is at unit place=9*10*10*1
When 2 is at tenth place=9*10*1*10
When 2 is at hundred place=9*1*10*10
When 2 is at thousand place = 1*10*10*10
So Total no. = 900 + 900 + 900 + 1000 = 3700