TCS 2014 Passing Out Batch

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TCS 2014 Passing Out Batch..

Answer / sobhan dutta

1. Absentminded professor forgot the day of the week. He met his 2 students
Eesha and Usha in the class room . Eesha lies on Mondays, Tuesdays, and
Wednesdays and tells the truth on the days of the week. Usha lies on
Thursdays, Fridays, and Saturdays, but tells the truth on the other days of
the week. They made the following statements Eesha: Yesterday was one of my
lying days. Usha: Yesterday was one of my lying days. From these two
statements, the professor was able to deduce the day of the week.
A. What day was it? B. What is today?
A. Cannot be determined from the given information
B. Monday
C. Thursday
D. Wednesday

2.A city in the US has a basketball league with three basketball teams, the
Aztecs, the Braves and the Celtics. A sports writer notices that the
tallest player of the Aztecs is shorter than the shortest player of the
Braves. The shortest of the Celtics is shorter than the shortest of the
Aztecs, while the tallest of the Braves is shorter than the tallest of the
Celtics. The tallest of the Braves is taller than the tallest of the Aztecs.
Which of the following can be judged with certainty?
X) Paul, a Brave is taller than David, an Aztec
Y) David, a Celtic, is shorter than Edward, an Aztec
A. Both X and Y
B. Y only
C. Neither X nor Y
D. X only

3.A girl entered a store and bought x flowers for y dollars (x and y are
integers). When she was about to leave, the clerk said,If you buy 10 more
flowers I will give you all for $2, and you will save 80 cents a dozenâ€.
The values of x and y are:
A. (15,1)
B. (10,1)
C. (5,1)
D. Cannot be determined from the given information

4.A team won 80% of the games it played. It played 5 more games of which it
won 3 and lost 2. Its loss percentage changed to 25%. How many games did it
play overall?
A. 20
B. 14
C. 16
D. 25

5.A calculator has a key for squaring and one for inverting. So if x is the
displayed number, then pressing the square key will replace x by x2 and
pressing the invert key will replace x by 1/x. If initially the number
displayed is 6 and one alternately presses the invert and square key 16
times each, then the final number displayed (assuming no roundoff or
overflow errors) will be
1.6 -(216)
2. 6((-2)16)
3. 6 -32
4. 6^32
5. 6((-1)1632)

*6.The rupee/coin changing machine at a bank has a flaw. It gives 10 ten
rupee notes if you put a 100 rupee note and 10 one rupee coins if you
insert a 10 rupee note but gives 10 hundred rupee notes when you put a one
rupee coin!
Sivaji, after being ruined by his rivals in business is left with a one
rupee coin and discovers the flaw in the machine by accident. By using the
machine repeatedly, which of the following amounts is a valid amount that
Sivaji can have when he gets tired and stops at some stage (assume that the
machine has an infinite supply of notes and coins): [DCRU]
A. 26975
B. 53947
C. 18980
D. 33966

7.A manufacturer of chocolates makes 6 different flavors of chocolates. The
chocolates are sold in boxes of 10. How many “different” boxes of
chocolates can be made? [pu]
(NOTE: A box is considered “different” from another only if, regardless of
the order, the box contains a different number of chocolates of at least
one type)
A. 3003
B. 10^6
C. 3000
D. 6^10

8.A owes B Rs 50. He agrees to pay B over a number of consecutive day
starting on a Monday, paying single note of Rs 10 or Rs 20 on each day. In
how many different ways can A repay B. (Two ways are said to be different
if at least one day, a note of a different denomination is given)
A. 8
B. 7
C. 6
D. 5

9.There is a row of 172 children of which 2 of them are girls. They are
standing in an initial order such that a set of 9 boys, who are facebook
addicts, stand next to each other in a certain order. Now, the positions of
boys and girls are shuffled such that, the order of girls the same, the
facebook addicts are together in the same order, but the position and order
of remaining boys are changed. How many distinct arrangements of the
students can be done (including the initial order) by preserving the order
of girls and keeping the facebook addicts together. [DCRU]
A. 163 !
B. 162 !*13203
C. 163!*13203
D. 162 !

10.A cistern can be filled by pipes A, X in 3 minutes 45 seconds. If the
larger pipe takes 4 minutes less than the smaller pipe to fill the cistern,
how much time will the smaller pipe take to fill the tank? [DCRU]
A. 12min
B. 6min
C. 10min
D. 8min

11.The addition 742586 + 829430 = 1212016 is incorrect. It can be corrected
by changing
one digit d, wherever it occurs, to another digit e. Find sum of d and e.
A. 6 [DCRU]
B. 4
C. 10
D. 8

12.A rectangle of height 100 squares and width 200 squares. Squares is
drawn on a graph paper. It is colored square by square from top left corner
and moving across in a spiral turning right. Whenever a side of this
rectangle or a colored square is reached. Which square is colored last
(give its row and column numbers). The bottom right square is on row 100,
column 200?
A. 51,150
B. 51, 50
C. 50, 150
D. 50, 50

13.The student lockers at school are numbered consecutively beginning with
locker number 1. The plastic digits used to number the lockers cost Rs 1 a
price. Thus, it costs Rs 1 to label locker number 9 and Rs 2 to label
locker 10. If it costs a total of Rs 7293 to label all the lockers, how
many lockers are there at the school?
A. 2573
B. 2100
C. 1200
D. 2431

14.At different times during the day Dhruva gets emails in his yahoo
account. When he has time, Dhruva goes to his inbox and reads the most
recent unread mail. If there are 5 emails in all and they are delivered to
Dhruva in the order 1 2 3 4 5, which of the following could not be the
order in which Dhruva reads them?

15.In a company 30% are supervisors and 40% employees are male if 60% of
supervisors are male. What is the probability? That a randomly chosen
employee is a male or female?
(a) 0.262
(b) 0.246
(c) 0.264
(d) 0.244

16.After an election, the newly constituted Geocity planning office is
exploring the use of hollow cylinders for water towers, and have built a
model in their office. The model is hollow, open (on top) right circular
cylinder (with negligibly thin walls ), as shown in the figure below. An
intelligent bug is sitting at the point A in the figure on the outside of
the cylinder, and a drop of honey is accidentally dropped at point B
(diametrically opposite to the bug, but inside the cylinder, and at a
different distance from the top)
The bug crawls to the honey on the outside and the inside of the cylinder
by the shortest path.
If the circumference of the top of the cylinder is 78 cm, d=27 cm, and h=53
cm, then what is the distance (in cm) crawled by the bug before reaching
the honey? The answer is rounded to the nearest integer
A. 89
B. 100
C. 80
D. 119

17.40% of the employees in a factory are workers. All the remaining
employees are executives. The annual income of each worker is $390. The
annual income of each executive is $420. What is the average annual income
of all the employees in the factory together? [DCRU]
A. 408
B. 390
C. 415
D. 405
408...(390x40+420x60)/100

18.Arun makes a popular brand of ice-cream in a rectangular shaped bar 6 cm
long, 5 cm wide and 2 cm thick. To cut costs, the company had decided to
reduce the volume of the bar by 19%. The thickness will remain the same,
but the length and width will be decreased by the same percentage. The new
width will be [DCRU]
A. 5.5 B. 7.5 C. 6.5 D. 4.5
4.5..let the decreased % b x..5-(5x)/100=options..check it using the
option..only in option d the value of x vl b positive..

19.A Sudoku grid contains digits in such a manner that every row, every
column, and every 3x3 box accommodates the digits 1 to 9, without
repetition. In the following Sudoku grid, find the values at the cells
denoted by x and y and determine the value of 10x + 7y
x=5.. so 10x=50.. now going by option 1, 113=50+7y i.e y=9
go for option 2,79=50+7y, y=7, can't be possible as there is 7 in the column..
option 3 and 4 can't be possible.. so ans is 113

20.Every week, “ABC Tours and Travels” conducts guided tours to Marina
beach, Mahabalipuram and Crocodile park, in and around Chennai as per
following restrictions: - Exactly five tours will be conducted that week,
one each day from Monday to Friday - Each location is toured at least once.
- The Marina beach location is not toured on Monday.
- The Mahabalipuram location is not toured on Wednesday.
- The crocodile park location is not toured on two consecutive days, and on
no other days. - If the Marina beach’s location is toured on Thursday, then
the Mahabalipuram location is toured on Friday. [DCRU]
Which one of the following cannot be true of the week’s tour schedule?
A. The location that is toured on Monday is also toured on Tuesday.
B. The location that is toured on Monday is also toured on Friday.
C. The location that is toured on Tuesday is also toured on Thursday.
D. The location that is toured on Wednesday is also toured on Friday.
bcoz The crocodile park location is not toured on two consecutive days,in
option a monday n tues r consecutive days datsy i thnik this cannot be true

21.A circular swimming pool is surrounded by a concrete walk 4 feet wide.
It the area of the walk is 11/25 of the area of the pool, then the radius
of the pool is
A. 8 [DCRU]
B. 20
C. 16
D. 30
ANS: 20

22.Traffic on NH4, the Chennai Banglore highway moves at a constant speed
of 90 kms per hour in both directions. A Banglore bound driver passes 20
Chennai bound vehicles in a 2 minute interval. Assume that the vehicles in
the Chennai bound lane are equally spaced. Which of the following answers
is closest to the number of Chennai bound vehicles in a 90 kms stretch of
the highway? [DCRU]
A. 225
B. 300
C. 600
D. 150
90km/hr speed h or 90km ka hi highway h..
so time = 1 hr
2 min me 20 cars cross hui ..so 60 mins me 600

23.A student selects 3 digits from numbers 1 to 9 such that they are in
strictly increasing order. How many selections have the property that the
three digits form an arithmetic progression? [DCRU]
A. 7
B. 14
C. 12
D. 16
Numbers can only be
123,234,345,456,567,678,789 ( Common difference of 1)
135,246,357,468,579 ( Common difference of 2)
147,258,369 ( Common difference of 3)
159 ( common difference of 4)
Total 16 selections
Option D

24.Ram wants to visit 5 places like c, b, m, d, k. He will visit at least 3
places in one trip and c will be visited in every trip. If visiting
different places is considered as different trips then how many ways can he
go trips?
Ans: c is common///
Take 2 from 4 city it is done by 4c2*3!+4c3*4!+5!=252.
25.There are 5 packers A, B, C, D, and E in a company. The five packers A,
B, C, D and E charge $66, $52, $46, $32, and $28, respectively, to pack
each item. The time taken by the packers to pack one item is 20 minutes, 24
minutes, 30 minutes, 40 minutes and 48 minutes, respectively. All the items
are sold at end of the day. Each item earns a profit of 100 dollars, and
the packers are paid from this profit. If each packer works 8 hours a day,
which packer contributes the most to the net profit of the company?
A. Packer C [DCRU]
B. Packer A
C. Packer B
D. Packer D
Packer B takes minimum charge-minutes

*26.Professor absentminded has a very peculiar problem, in that he cannot
remember numbers larger than 15. However, he tells his wife, I can remember
any number up to 100 by remembering the three numbers obtained as
remainders when the number is divided by 3, 5 and 7 respectively. For
example (2,2,3) is 17. Professor remembers that he had (1,1,6) rupees in
the purse, and he paid (2,0,6) rupees to the servant. How much money is
left in the purse? [DCRU]
A. 59 B. 61 C. 49 D. 56
Ans initially he had rupees 76 and he gave to his servant 20 so left rs
will be D.56.

27.After an election, the newly constituted Geocity planning office is
exploring the use of hollow cylinders for water towers, and have built a
model in their office. The model is hollow, open (on top) right circular
cylinder (with negligibly thin walls ), as shown in the figure below. An
intelligent bug is sitting at the point A in the figure on the outside of
the cylinder, and a drop of honey is accidentally dropped at point B
(diametrically opposite to the bug, but inside the cylinder, and at a
different distance from the top)
The bug crawls to the honey on the outside and the inside of the cylinder
by the shortest path.
If the circumference of the top of the cylinder is 78 cm, d=27 cm, and h=53
cm, then what is the distance (in cm) crawled by the bug before reaching
the honey? The answer is rounded to the nearest integer
A. 89
B. 100
C. 80
D. 119
plz solve this..
78/2 + 53 + 27 = 119

28.Surjit looked at 6 digit no. on his admit card and said if I multiply
the first 2 digits with 3, I get all 1's. If I multiply the next 2 digits
with 6,I get all 2's. If I multiply the last 2 digits with 9 ,I get all 3's
. What is sum of the digits of no. on Surjit's admit card.[DCRU]

30 33 60 45

if by multiplyng first 2 digit no by 3 we get 111 so simply by divinding
111 by 3 we get no which is 37..same wid other digits...so we get 37,37,37
nd on addng these we get 30

29.People are sitting in theater watching a movie. The row they are in
contains several seats. After intermission, they all return to the same row
but choose their seats randomly. What is the probability that neither of
the two people sitting in the two seats were previously sitting in an aisle
seat? [HERITAGE]
A. 1
B. 0
C. 17/21
D. 13/21
Ans: zero.

30.How many two digit numbers are there which when subtracted from the
number formed by reversing it's digits as well as when added to the number
formed by reversing it's digits, result in a perfect square?

Ans:1
Let the number be ab.
10a+b + 10b + a is a perfect square, that is 11(a+b) is a perfect square.
Also 10b+a - 10a-b is a perfect square, that is 9(b-a) is also a perfect
square.

a or b cannot be more than 9.
For 11(a+b) to be a perfect square, the possible values of a+b is 11
and 9(b-a) to be a perfect square, the possible values of b-a is 1,4,9 (in
these cases 9(b-a) will be 9,36 and 81.

When a+b = 11 and b-a=1, then b=6 and a=5
When a+b = 11 and b-a=4, then b=15/2 which is invalid as b cannot be a fraction
When a+b = 11 and b-a=9, then b=10 which is invalid as b is a single digit
from 0-9.

Hence answer is 1 (as the only possible number is 56)
3 white chips, 7 blue chips, 16 green chips, 2 chips drawn from the box in
succession what is the probability that one is blue and other is white? a)
7/50 b) 8/30 c) 7/25 d) 20/26
options are incorrect ! One blue and one white ball is required ,
probability of getting a white and then a blue ball = (3/26)*(7/25) =
21/(26*25) similarly probability of getting a blue then a white ball =
(7/26) * (3/25) = 21/(25*26) , total= 42/(26*25) = 21/(13*25)
ANS WILL BE 7/25……….just solve it.

A circle is inscribed in a square of side x, then a square is inscribed in
that circle, a circle is inscribed in the latter square, and so on. If S(n)
is the sum of the areas of the first n circles so inscribed, then,
[ lim n-->infinite S(n)] is

a. P b. P/2 c. P/3 d. P/4
[note P= PI* x^2]

Ans:P/2
An astronaut lands on a planet and meets a native of the planet. She asks
the native " How many days do you have in your year?" He answers " It is
the sum of the squares of three consecutive natural numbers but it is also
the sum of the squares of the next two numbers". The answer to the
astronaut's question is
a. 365 b. 1095 c. 30000 d.10^10
x^2+(x+1)^2+(x+2)^2=(x+3)^2+(x+4)^2..solve for x ,which comes 10 ,then
100+121+144=365
In how many ways we can arrange letters from A to Z , when A and I can have
only seven letters between them?
Ans: 24p7*17!*2*2...bcz-a-z=26
a_7_i---17--so......first 7 latter we have to select from 24
latter(26-a-i=24)=24p7(latters r not identical) then rest 17 latter can be
arrange in 17! ways so 24p7*17!......*2 bcz a& i can be arrangen .again*2
bcz let take 2 group (a-7-i) & (rest 17) they canbe arrangen in *2 ways

50!/(16^15) Then What is the reminder?
Ans:200269445929631744
identical circles intersects that their centres and the point at which they
intersect form a square of side 1cm. the area in sq cm of portion that is
common to the two circles is?
.047cn
a tourist wants to visit 3 or more of the 5 major cities in india
Mumbai,bengaluru,chennai,delhi,Kolkata. In how many ways can he plan his
tour such that Chennai is always included? The plan of the Tour are
different if the cities in the tour or the order of cities is different?
if visiting 3 cities ; no. of ways= 4C2*3! = 36
if visiting 4 cities ; no. of ways = 4C3*4! = 96
if visiting 5 cities ; no. of ways = 5! =120
total no of ways =36+96+120= 252
N is a 50 digit number . All the digits except the 26th from the right are
1. If N is divisible by 13, the the unknown digit is
a. 1 b. 3 c. 7 d. 9
(111111) is divisible by 13 ...thus upto 1st 24 digits (all being 1) is
divisible by 13...Now similarly last 24 digits also divisible 13....so the
rest digits i.e. 25th (the unknown) and 26th (which is also 1 )has to be
divisible by 13....so it has to be 91

Find no of ways in which 4 particular persons a,b,c,d and 6 more persons
can stand in a queue so that A always stand before B. B always stand before
C, And C always stand before D.
there is a restriction of A,B,C,D to their standing......so they make a
group and left 6 persons...total 7 and they can be arrenged in 7! ways.

..............SOBHAN DUTTA(KGEC_KOLKATA_KALYANI)