TCS placement paper-2

# 1
A can do a work in 36 days, B can do the work in 72 days and C can do the work in 78 days.
The three take turns in working, i.e. A works on the first day, B works on the second day, C on the third day and so on.
Which day will they finish the work?

55 th day
19 th day
54 th day
17 th day


# 2
Consider two tumblers, the first containing one litre of milk and the second containing one litre of coffee.
Suppose you take one cup of milk out of the first tumbler and pour it into the second tumbler.
After mixing you take one cup of the mixture from the second tumbler and pour it back into the first tumbler.
Which one of the following statements holds now?

There is less coffee in the first tumbler than milk in the second tumbler.
There is more coffee in the first tumbler than milk in the second tumbler.
There is as much coffee in the first tumbler as there is milk in the second tumbler.
None of the statements holds true.

# 3
In a certain coding system used by the military intelligence, URMILA is written as SACHIN.
KANIKA is written as NOROIN and TANISHA is written as INTERNL.
Which of the following cannot be the code for NIKETA?

TINORK
EINORD
MLIONR
RLIONS


# 4
Susan made a block with small cubes of 7 cubic cm volume to make a block 4 small cubes long,
4 small cubes wide and 10 small cubes deep. She realises that she has used more small cubes than she really needed.
She realised that she could have glued a fewer number of cubes together to look like a block with same dimensions,
if it were made hollow. What is the minimum number of cubes that she needs to make the block?

160
32
128
79

# 5
A certain street contains 100 buildings.
They are numbered from 1 to 100. How many 9s are used in numbering these buildings?

21
20
19
9


# 6
A power unit is by the bank of a river 1500m wide.
It is required to construct a power plant on the side of the river opposite to the power unit and 3000mfrom the unit.
A cable has to be laid from the power unit to the power plant.
The cost of laying the cable under water and on the land is Rs 100 per m and Rs 10 per m respectively.
If we want to minimize the total cost of laying the cable,
where should the plant be located?

750 m from the river bank
1500 m from the river bank
1200 m from the river bank
3000 m from the river bank


# 7
A man speaks truth 3 out of 4 times. He throws a die and reports it to be a 6.
What is the probability of it being a 6?

1 /2
3 /4
5 /8
1 /8


# 8
The fundamental theorem of arithmetic states that every natural number greater than 1 can be written as a unique
product of prime numbers.
Now what is the smallest number by which 3380 must be divided in order to make it into a perfect square?

5
8
6
4


# 9
Rearrange the following letters to make a word and choose the category in which it fits. RAPETEKA

City
Fruit
Vegetable
Bird


# 10
How many 8 digit numbers formed using 1,2,3,4,5 with repetition are divisible by 4?
97657
97656
78125
31250



# 11
Find the missing number 8 , 1 , 17 , 4 , 35 , 10 , 71 , ?, 143
22
20
12
21



# 12
The cost of making the robot is divided between materials, labour and overheads in the ratio of 4:5:2.
If the materials cost $116, the cost of the robot is
255.2
638
319
261




# 13
Ferrari S.p.A. is an Italian sports car manufacturer based in Maranello, Italy.
Founded by Enzo Ferrari in 1928 as Scuderia Ferrari,
the company sponsored drivers and manufactured race cars before moving into production of
street-legal vehicles in 1947 as Ferrari S.p.A..
Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One,
where it has enjoyed great success. Rohit once bought a Ferrari.
It could go 2 times as fast as Mohit's old Mercedes.
If the speed of Mohit's Mercedes is 32 km/hr and the distance travelled by the Ferrari is 952 km,
find the total time taken for Rohit to drive that distance.

29.75
476
15.88
14.88




# 14
A woman has 136 yards of cloth on a single roll, and she wants to divide it into 136 lengths of 1 yard each.
It takes her 5 seconds to cut each length. Working non-stop,
how long (in seconds) will it take her to cut all 136 pieces?

679
675
680
681



# 15
4 years ago, Aditya's age was twice Anvesh's age. 4 years hence,
Aditya's age will be 4/3 times the age of Anvesh. Find Aditya's present age.

5 years
12 years
9 years
4 years