(Paper) TCS Fresher Job Interview Placement Paper : 24Aug2011
TCS
Job Interview Placement Paper
1.A man is standing in front of a painting of a man, and he tells us the following: Brothers and sisters have I none, but this man’s father is my father’s son. Who is on the painting?A. His son
B. His grandfather
C. His father
D. He himself
Ans: a
2. A
sheet
of
paper
has
statements
numbered
from
1
to
30.
For
all
values
of
n
from
1
to
30,
statement
n
says
"At
most
n
of
the
statements
on
this
sheet
are
false".
Which
statements
are
true
and
which
are
false?
All
statements
are
true.
The
even
numbered
statements
are
true
and
the
odd
numbered
are
false.
All
statements
are
false.
The
odd
numbered
statements
are
true
and
the
even
numbered
are
false.
Given a coin, the diameter of the next larger coin is at least 50% greater.
The diameter of the coin must always be an integer.
You are asked to design a set of coins of different diameters with these requirements and your goal is to design as many coins as possible. How many coins can you design?
5,9,6,8
Ans: c (hint:first coin has length 64 mm,2nd coin diameter length 64+(50/100)*64,3rd coin 2nd coins diameter length+50/100 of 2nd coinds lenght,in that way go till you reach maximum diamter length 512!now think!
4.
The
pacelength
P
is
the
distance
between
the
rear
of
two
consecutive
footprints.
For
men,
the
formula,
n/P
=
144
gives
an
approximate
relationship
between
n
and
P
where,
n
=
number
of
steps
per
minute
and
P
=
pacelength
in
meters.
Bernard
knows
his
Pacelength
is
164cm.
The
formula
applies
to
Bernard's
walking.
Calculate
Bernard's
walking
speed
in
kmph.
23.62
11.39
8.78
236.16
Ans: a
5.A
hollow
cube
of
size
5
cm
is
taken,
with
a
thickness
of
1
cm.
It
is
made
of
smaller
cubes
of
size
1
cm.
If
4
faces
of
the
outer
surface
of
the
cube
are
painted,
totally
how
many
faces
of
the
smaller
cubes
remain
unpainted?
800
500
488
900
Ans: side
of
cube
=
5
cm
its
thichness
=
1
cm
so
volume
of
outer
cube
=
5*5*5
volume
of
inner
cube
=
3*3*3
volume
of
the
hollow
cube
=
5*5*5

3*3*3
=
98
so
total
no
of
small
cubes
of
the
size
1
cm
=
98/1*1*1
=
98
we
know
a
cube
has
6
faces
so
total
no
of
face
=
98*6
=
588
one
surface
of
outer
cube
contains
a
total
of
25
surface
of
smaller
cube
,
so
when
4
surface
of
outer
cube
is
painted
total
no
of
surface
of
small
cubes
i.e
supposed
to
be
painted
is
4*25
=
100
so
the
total
no
of
surfaces
of
small
cube
that
will
be
remained
unpainted
is
588100
=
488
6.A
person
drives
with
constant
speed
and
after
some
time
he
sees
a
milestone
with
2
digits.
Then
travels
for
1
hours
and
sees
the
same
2
digits
in
reverse
order.
1
hours
later
he
sees
that
the
milestone
has
the
same
2
digits
with
a
0
between
them.
What
is
the
speed
of
the
car?
54.00
mph
45.00
mph
27.00
mph
36.00
mph
7.india
with
a
burgeoning
population
and
a
plethora
of
vehicles
(at
last
count
there
were
more
than
20
million
of
them)
has
witnessed
big
traffic
jams
at
all
major
cities.
Children
often
hone
their
counting
skills
by
adding
the
wheels
of
vehicles
in
schoolyards
or
bus
depots
and
guessing
the
number
of
vehicles.
Alok,
one
such
child,
finds
only
bicycles
and
4
wheeled
wagons
in
his
schoolyard.
He
counts
the
total number
of
wheels
to
be
46.
What
could
be
the
possible
number
of
bicycles?
25
5
4
Ans: 5
let
y
be
the
number
of
bycycles,x
be
number
of
4
wheelers
then
2x+4y=46
by
trial
and
error
subtitute
value
of
x
and
give
suitable
values
for
y
if
x=5
and
y=9
then
eqn
satisfied
8.10
suspects
are
rounded
by
the
police
and
questioned
about
a
bank
robbery.
Only
one
of
them
is
guilty.
The
suspects
are
made
to
stand
in
a
line
and
each
person
declares
that
the
person
next
to
him
on
his
right
is
guilty.
The
rightmost
person
is
not
questioned.
Which
of
the
following
possibilities
are
true?
A.
All
suspects
are
lying
or
the
leftmost
suspect
is
innocent.
B.
All
suspects
are
lying
and
the
leftmost
suspect
is
innocent
.
A
only
B
only
Neither
A
nor
B
Both
A
and
B
9..
A
lady
has
fine
gloves
and
hats
in
her
closet
18
blue,
32
red,
and
25
yellow.
The
lights
are
out
and
it
is
totally
dark.
In
spite
of
the
darkness,
she
can
make
out
the
difference
between
a
hat
and
a
glove.
She
takes
out
an
item
out
of
the
closet
only
if
she
is
sure
that
if
it
is
a
glove.
How
many
gloves
must
she
take
out
to
make
sure
she
has
a
pair
of
each
color?
(A)50
(B)8
(C)60
(D)42
Ans:60
There
can
be
lots
of
logic
for
this,
but
approach
the
simplest
one
so
that
we
approach
to
one
of
the
solutions.
Suppose
the
lady
first
picks
32
Red
gloves,
and
then
24
Yellow
gloves.
The
next
pair
she
pics
will
be
one
Yellow
and
One
Blue
which
does
not
make
a
pair.
The
next
two
will
be
blue
gloves.
So
she
make
a
total
of
32+24+1+1+2
=
60
picks.
10.
One
day
Rapunzel
meets
Dwarf
and
Byte
in
the
Forest
of
forgetfulness.
She
knows
that
Dwarf
lies
on
Mondays,
Tuesdays
and
Wednesdays,
and
tells
the
truth
on
the
other
days
of
the
week.
Byte,
on
the
other
hand,
lies
on
Thursdays,
Fridays
and
Saturdays,
but
tells
the
truth
on
the
other
days
of
the
week.
Now
they
make
the
following
statements
to
Rapunzel
–
Dwarf:
Yesterday
was
one
of
those
days
when
I
lie.
Byte:
Yesterday
was
one
of
those
days
when
I
lie
too.
What
day
is
it?
(A) Thursday
(B)Tuesday
(C) Sunday
(D) Monday
Ans:
Thursday
Explanation : On Thursday, Dwarf says truth. i.e Yesterday(Wednesday) was one of those days when I lies. Its true. On the other hand, On Thursday, Byte lies. i.e Yesterday(Wednesday) was one of those days when I lie too. Its a lie.... So both satisfied. Hence its Thursday.
11.The
teacher
is
testing
a
student’s
proficiency
in
arithmetic
and
poses
the
following
question.
1/3
of
a
number
is
3
more
than
1/6
of
the
same
number.
What
is
the
number?
Can
you
help
the
student
find
the
answer?
(A)12
(B)18
(C) 6
(D) 21
Ans:
x/3=3+x/6
so,x=18
12.A
greengrocer
was
selling
apple
at
a
penny
each,
chickoos
at
2
for
a
penny
and
peanuts
at
3
for
a
penny.
A
father
spent
7p
and
got
the
same
amount
of
each
type
of
fruit
for
each
of
his
three
children.
What
did
each
child
get?
(A) 1
apple,
1
Chickoos,
1
peanut
(B)1
apple,
2
chickoos,
2
peanuts
(C)1
apple,
2
chickoos,
1
peanut
(D)1
apple,
3
chickoos,
2
peanuts
Ans:
Go
from
options
1
apple
,
2
chickoos
,
1
peanut
::::::::::::
3
children
are
there
so
he
have
to
buy
3
apples
for
dat
3
penny’s.
similarly
for
2
chickoos
each
child
he
have
to
buy
6
chickoos
for
dat
3
penny’s
and
1
peanut
for
each
child
he
have
to
buy
3
peanuts
for
that
1
penny.
So
total
7
13.Here
10
programmers,
type
10
lines
with
in
10
minutes
then
60lines
can
type
within
60
minutes.
How
many
programmers
are
needed?
a)
16
b)
6
c)
10
d)
60
Ans:
C)10
use
the
formula
man*hour=day
10*10=10
x*60=60
divide
eqn
1
by
2
and
find
x!
14.The
citizens
of
planet
nigiet
are
8
fingered
and
have
thus
developed
their
decimal
system
in
base
8.
A
certain
street
in
nigiet
contains
1000
(in
base
8)
buildings
numbered
1
to
1000.
How
many
3s
are
used
in
numbering
these
buildings?
(A)
54
(B)64
(C)
265
(D)
192
Ans: d
Consider
3
in
one's
place.
The
possible
numbers
are
3,13,23....,73
103,113...,173....
703,713...773
i.e
8*8=64
times.
Similarly
consider
10's
place
70,71,71...77
170,171,...177....
770,771...777
Again
8*8=64
Now
to
hundred's
place
700,701...707....
770,771,...777
Again
8*8=64
so
total
64+64+64=192!
15.Given
a
collection
of
points
P
in
the
plane,
a
1set
is
a
point
in
P
that
can
be
separated
from
the
rest
by
a
line,
.i.e
the
point
lies
on
one
side
of
the
line
while
the
others
lie
on
the
other
side.
The
number
of
1sets
of
P
is
denoted
by
n1(P).
The
minimum
value
of
n1(P)
over
all
configurations
P
of
5
points
in
the
plane
in
general
position(.i.e
no
three
points
in
P
lie
on
a
line)
is
(A)3
(B)5
(C)
2
(D)1
Ans: b
Arrange
the
points
in
a
circle
16.Hare
in
the
other.
The
hare
starts
after
the
tortoise
has
covered
1/5
of
its
distance
and
that
too
leisurely3.
A
hare
and
a
tortoise
have
a
race
along
a
circle
of
100
yards
diameter.
The
tortoise
goes
in
one
direction
and
the.
The
hare
and
tortoise
meet
when
the
hare
has
covered
only
1/8
of
the
distance.
By
what
factor
should
the
hare
increase
its
speed
so
as
to
tie
the
race?
(A)
37.80
(B) 8
(C)
40
(D)
5
Ans: a
17.Alice
and
Bob
play
the
following
coinsonastack
game.
20
coins
are
stacked
one
above
the
other.
One
of
them
is
a
special
(gold)
coin
and
the
rest
are
ordinary
coins.
The
goal
is
to
bring
the
gold
coin
to
the
top
by
repeatedly
moving
the
topmost
coin
to
another
position
in
the
stack.
Alice
starts
and
the
players
take
turns.
A
turn
consists
of
moving
the
coin
on
the
top
to
a
position
i
below
the
top
coin
(0
=
i
=
20).
We
will
call
this
an
imove
(thus
a
0move
implies
doing
nothing).
The
proviso
is
that
an
imove
cannot
be
repeated;
for
example
once
a
player
makes
a
2move,
on
subsequent
turns
neither
player
can
make
a
2move.
If
the
gold
coin
happens
to
be
on
top
when
it's
a
player's
turn
then
the
player
wins
the
game.
Initially,
the
gold
coinis
the
third
coin
from
the
top.
Then
(A)
In
order
to
win,
Alice's
first
move
should
be
a
1move.
(B)
In
order
to
win,
Alice's
first
move
should
be
a
0move.
(C)
In
order
to
win,
Alice's
first
move
can
be
a
0move
or
a
1move.
(D)
Alice
has
no
winning
strategy.
Consider
the
situation
of
a
1move
C
C
G
C
represents
the
normal
coin
and
G
the
gold
coin.
So
Alice
makes
a
1move,
which
does
not
have
any
effect
on
the
arrangement.
Next
Bob
has
to
make
a
0move
or
2move.
If
he
makes
a
0move,
there
is
no
change
and
if
he
make
a
2move,
the
G
goes
up
by
one
step.
If
Bob
makes
a
2move,
then
Alice
can
do
a
0move
and
win
the
game.
18. 36
people
{a1,
a2,
...,
a36}
meet
and
shake
hands
in
a
circular
fashion.
In
other
words,
there
are
totally
36
handshakes
involving
the
pairs,
{a1,
a2},
{a2,
a3},
...,
{a35,
a36},
{a36,
a1}.
Then
size
of
the
smallest
set
of
people
such
that
the
rest
have
shaken
hands
with
at
least
one
person
in
the
set
is
(A)12
(B)11
(C)13
(D)18
Ans: a
Understand
the
question,
we
have
to
find
the
minimum
set,
so
that
all
other
people
shake
hand
to
the
selected
set
of
people.
Let
me
take
an
example
of
6
people.
{a1,a2,a3,a4,a5,a6}
Now
if
we
include
a
minimum
set
{a2,a5}
all
other
people
are
shaking
hands
with
them.
So
if
its
2
for
6(1/3rd)
then
its
36/3=12
19.After
the
typist
writes
12
letters
and
addresses
12
envelopes,
she
inserts
the
letters
randomly
into
the
envelopes
(1
letter
per
envelope).
What
is
the
probability
that
exactly
1
letter
is
inserted
in
an
improper
envelope?
(A)1/12
(B)0
(C)12/212
(D)11/12
Ans: b
Becoz
At least
two
letter
will
be
inserted
in
the
improper
envelop
number
20.There is a toy train that can make 10 musical sounds. It makes 2 musical sounds after being defective. What is the probability that same musical sound would be produced 5 times consecutively?
21.By using 1,2,3,4,5, how many 12 digit no. can be formed which is divisible by 4, Repetition of no. is allowed?
22.Alchemy
is
an
occult
tradition
that
arose
in
the
ancient
Persian
empire.
Zosimos
of
Panopolis
was
an
early
alchemist.
Zara,
reads
about
Zosimos
and
decides
to
try
some
experiments.
One
day,
she
collects
two
buckets,
the
first
containing
one
litre
of
ink
and
the
second
containing
one
litre
of
cola.
Suppose
she
takes
one
cup
of
ink
out
of
the
first
bucket
and
pours
it
into
the
second
bucket.
After
mixing
she
takes
one
cup
of
the
mixture
from
the
second
bucket
and
pours
it
back
into
the
first
bucket.
Which
one
of
the
following
statements
holds
now?
A. There
is
more
cola
in
the
first
bucket
than
ink
in
the
second
bucket.
B. There
is
as
much
cola
in
the
first
bucket
as
there
is
ink
in
the
second
bucket.
C. There
is
less
cola
in
the
first
bucket
than
ink
in
the
second
bucket
23.Given a collection of points P in the plane, a 1set is a point in P that can be separated from the rest by a line; i.e. the point lies on one side of the line while the others lie on the other side. The number of 1sets of P is denoted by n1(P). The maximum value of n1(P) over all configurations P of 19 points in the plane is 18 9 3
24.15
suspects
are
rounded
by
the
police
and
questioned
about
a
bank
robbery.
Only
one
of
them
is
guilty.
The
suspects
are
made
to
stand
in
a
line
and
each
person
declares
that
the
person
next
to
him
on
his
right
is
guilty.
The
rightmost
person
is
not
questioned.
Which
of
the
following
possibilities
are
true?
A.
All
the
suspects
are
lying.
B.
The
leftmost
suspect
is
guilty.
B
only
25,Alchemy
is
an
occult
tradition
that
arose
in
the
ancient
Persian
empire.
Zosimos
of
Panopolis
was
an
early
alchemist.
Zara,
reads
about
Zosimos
and
decides
to
try
some
experiments.
One
day,
she
collects
two
buckets,
the
first
containing
one
litre
of
ink
and
the
second
containing
one
litre
of
cola.
Suppose
she
takes
one
cup
of
ink
out
of
the
first
bucket
and
pours
it
into
the
second
bucket.
After
mixing
she
takes
one
cup
of
the
mixture
from
the
second
bucket
and
pours
it
back
into
the
first
bucket.
Which
one
of
the
following
statements
holds
now?
A. There
is
more
cola
in
the
first
bucket
than
ink
in
the
second
bucket.
B. There
is
as
much
cola
in
the
first
bucket
as
there
is
ink
in
the
second
bucket.
C. There
is
less
cola
in
the
first
bucket
than
ink
in
the
second
bucket.
26.Both
A
and
B
Alice
and
Bob
play
the
following
chipoffthetable
game.
Given
a
pile
of
58
chips,
Alice
first
picks
at
least
one
chip
but
not
all
the
chips.
In
subsequent
turns,
a
player
picks
at
least
one
chipbut
no
more
than
the
number
picked
on
the
previous
turn
by
the
opponent.
The
player
to
pick
the
last
chip
wins.
Which
of
the
following
is
true?
In
order
to
win,
Alice
should
pick
14
chips
on
her
first
turn.
In
order
to
win,
Alice
should
pick
two
chips
on
her
first
turn.
In
order
to
win,
Alice
should
pick
one
chip
on
her
first
turn.
27.Both
A
and
B
Alice
and
Bob
play
the
following
chipoffthetable
game.
Given
a
pile
of
58
chips,
Alice
first
picks
at
least
one
chip
but
not
all
the
chips.
In
subsequent
turns,
a
player
picks
at
least
one
chip
but
no
more
than
the
number
picked
on
the
previous
turn
by
the
opponent.
The
player
to
pick
the
last
chip
wins.
Which
of
the
following
is
true?
In
order
to
win,
Alice
should
pick
14
chips
on
her
first
turn.
In
order
to
win,
Alice
should
pick
two
chips
on
her
first
turn
In
order
to
win,
Alice
should
pick
one
chip
on
her
first
turn.
28.30
teams
enter
a
hockey
tournament.
A
team
is
out
of
the
tournament
if
it
loses
2
games.
What
is
the
maximum
number
of
games
to
be
played
to
decide
one
winner?
60
59
61
30
34
29.Suppose
12
monkeys
take
12
minutes
to
eat
12
bananas.
How
many
monkeys
would
it
take
to
eat
72
bananas
in
72
minutes?
6
72
12
30.Alok
is
attending
a
workshop
“How
to
do
more
with
less”
and
today’s
theme
is
Working
with
fewer
digits
.
The
speakers
discuss
how
a
lot
of
miraculous
mathematics
can
be
achieved
if
mankind
(as
well
as
womankind)
had
only
worked
with
fewer
digits.
The
problem
posed
at
the
end
of
the
workshop
is
How
many
5
digit
numbers
can
be
formed
using
the
digits
1,
2,
3,
4,
5
(but
with
repetition)
that
are
divisible
by
4?
Can
you
help
Alok
find
the
answer?
625
375
230
500
31.A
and
B
play
a
game
of
dice
between
them.
The
dice
consist
of
colors
on
their
faces
(instead
of
numbers).
When
the
dice
are
thrown,
A
wins
if
both
show
the
same
color;
otherwise
B
wins.
One
die
has
4
red
face
and
2
blue
faces.
How
many
red
and
blue
faces
should
the
other
die
have
if
the
both
players
have
the
same
chances
of
winning?
3
red
and
3
blue
faces
2
red
and
remaining
blue
6
red
and
0
blue
4
red
and
remaining
blue
32.A
sheet
of
paper
has
statements
numbered
from
1
to
45.
For
all
values
of
n
from
1
to
45,
statement
n
says
“At
most
n
of
the
statements
on
this
sheet
are
false”.
Which
statements
are
true
and
which
are
false?
The
odd
numbered
statements
are
true
and
the
even
numbered
are
false.
The
even
numbered
statements
are
true
and
the
odd
numbered
are
false.
All
statements
are
false.
33.There are two containers A and B. A is half filled with
wine whereas B which is 3 times the size of A contains one quarter portion wine.
If both containers are filled with water and the contents are poured
into
container
C,
what
portion
of
container
C
is
wine?
.30
.31
.42
.25
Nts
are
true.
34.A
and
B
play
a
game
of
dice
between
them.
The
dice
consist
of
colors
on
their
faces
(instead
of
numbers).
When
the
dice
are
thrown,
A
wins
if
both
show
the
same
color;
otherwise
B
wins.
One
die
has
3
red
faces
and
3
blue
faces.
How
many
red
and
blue
faces
should
the
other
die
have
if
the
both
players
have
the
same
chances
of
winning?
5
red
and
1
blue
faces
1
red
and
5
blue
faces
3
red
and
3
blue
faces
35.A
circular
dartboard
of
radius
1
foot
is
at
a
distance
of
20
feet
from
you.
You
throw
a
dart
at
it
and
it
hits
the
dartboard
at
some
point
Q
in
the
circle.
What
is
the
probability
that
Q
is
closer
to
the
center
of
the
circle
than
the
periphery?
(A)0.75
(B)1
(C)0.5
(D)0.25
Ans:.25
Here
the
data
about
the
distance
is
of
no
use.
For
radius
of
1
m
if
dart
is
inside
the
circle
of
1/2
m
radius
the
dart
is
closer
to
center
than
periphery
so
area
of
1/2
m
circle
is
pie/4
area
of
board
is
pie
So
probability
=
0.25
Company Name: TCS
No of Rounds: Aptitude Test
Exam/Interview Date: 24Aug2011
Location : Delhi
No of Rounds: Aptitude Test
Exam/Interview Date: 24Aug2011
Location : Delhi