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# Placement Questions & Answers :: TCS

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#### Co. Cloud

Not Attempted

171. There are 3 trucks A,B and C. A loads at the rate of 10kg/min and B loads at the rate of 13 1/3 kg/min. C unloads at the rate of 5kg/min. If all the 3 trucks are acting simultaneously, find the time taken to load 2.4 tonnes.

Explanation:

A loads in 1 min = 10 kg.
B loads in 1 min = 13 1/3 kg = 40/3 kg.
C unloads in 1 min = 5kg.

So 10+ 40/3 -5 = 55/3

Hence 1 kg loaded by A,B and C together = 3/55 min

So for 2.4 tonnes to be loaded = 2.4 *1000* 3/55 =130.9 min

Tags: TCS

Not Attempted

172. Apples cost L rupees per kilogram for the first 30 kilograms and Q per kilogram for each additional kilogram. If the price paid for 33 kilograms of Apples is Rs.1167 and for 36 kilograms of apples if Rs.1284, then the cost of the first 10 kgs of apples is:

Explanation:

30L + 3Q = 1167
30L + 6Q = 1284
Solving we get Q = 39, L = 35
So cost of first 10 kgs of apples = 35 * 10 = 350

Tags: TCS

Not Attempted

173. There are 6 people from different countries namely Germany, Italy, Britain, Spain, Poland and France. They are sitting around a table. Polish sits next to British. German sits next to Italian, or British or both. Italian does not sit next to the Frenchman. Spanish sits immediately after British. Who sits on the either side of the German?

Explanation:

F G I P B S
So Germen sits between Italian and French

Tags: TCS

Not Attempted

174. Three dice are rolled. What is the probability that you will get the sum of the numbers as 10?

Explanation:

Total events = 6*6*6=216
possible cases for sum equal to 10 are
(1,3,6)-6 combinations + (1,4,5)-6 combinations + (2,3,5)-6 combinations + (2,4,4)-3 combinations + (3,3,4)-3 combinations +
(2,2,6)-3 combinations
So, Total combinations = 27
Hence probability = 27/216

Tags: TCS

Not Attempted

175. A number is divided by 5,2 and 3 successively in order to get remainders of 0,1, and 2 respectively. What will be the remainders when the same number is divided by 2,3 and 5 respectively?

Explanation:

when divided by 5, quotient is 11 and remainder is zero.
when 11 is divided by 2, quotient is 5 and remainder is 1.
when 5 is divided by three, quotient is 1 and remainder is 2.

when same operation is applied on 55 i.e. successively divided by 2,3,5..
we get remainders as 1,0,4 successively.

Tags: TCS

Not Attempted

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

Explanation:

25x+10y=1000
Find all posiible value of (x,y)
for satisfying eqtn "b" must be even & the range of "b" will varry from 0 to 40. so total no. is 21 ways.

Tags: TCS

Not Attempted

177. Four people each roll a fair dice once. Find the probability that at least two people will roll the same number?

Explanation:

The probability of at least two persons roll the same number = 1– None of them rolls the same number.
= 1−[6/6 * 5/6 * 4/6 * 3/6] = 1−5/18=13/18

Tags: TCS

Not Attempted

178. What is the value of ( (x^2012 + x^2011 +.........+ x+1)^2 - x^2012) / (x^2011 +x^2010..........+x+1)

Explanation:

Here is no explanation for this answer

Tags: TCS

Not Attempted

179. A can complete a piece of work in 8 hours, B can complete in 10 hours and C in 12 hours. If A,B, C start the work together but A laves after 2 hours. Find the time taken by B and C to complete the remaining work.

Explanation:

A,B,C 1 hour work is=1/8+1/10+12= 37/120
A,B,C work together for 2 hours, so,A,B,C 2 hours work is: (37/120)*2=37/60
remaining work=1-37/60=23/60 (23/60 work is done by B and C together)
B,C 1 hour work is= 1/10+1/12=11/60
23/60 hours work done by B,C= (11/60)* (60/23)=11/23
So B & C and complete the remaining work = 2 1/11 days.

Tags: TCS

Not Attempted

180. A, B, C and D are seated in four adjacent seats. They make the following statements.
A : I am not in the third position.
B : I am in the second or third position.
C : I am in the first position.
D : I am in the fourth position.
If three of them are speaking the truth and one of them is lying, who is in the fourth position?

Explanation:

D is in fourth position
A might be false
So C occupies 1st position
B occupies 2nd position
A occupies 3rd position(As A is false & says its not in 3rd so its in 3rd)
D occupies 4th position
Now all the conditions are satisfied