TCS HR/TECHNICAL ROUND questions

TCS HR/TECHNICAL ROUND 2012/2013

Hello Folks
His post will discuss the details of the technical/HR (2nd) round for the TCS placement process. I have
included mine and some of my friends experiences. Basically there are 2 rounds for TCS. Once you clear
the aptitude(In my college 127 out of 232 cleared aptitude) you have to attend a pure HR , HR/Tech or a
pure Tech interview round. Yes it might sound odd but there are 3 types of panels(HR , HR/Tech or a
pure Tech) and depending on which one you go to the type of questions asked vary. The following are
the type of questions asked in each panel, I have tried my best to get all possible questions asked to the
127 that attended.
Each interview lasted approximately 10-15 minutes no more.There will be three interviewer, 2 will ask
you questions while the third interviewer listens and takes notes. And yes make sure you can answer
questions asked from your resume they do read it unlike most companies. You will be given a print out
of your camous commune application form.
Pure HR Panel:
Easy to clear for the most part, IT IS REALLY CRUCIAL THAT YOU SPEAK GOOD ENGLISH OR ATLEAST TRY
". As far as i have seen most people with good English speaking skills were selected
Asked to give a self introduction about themselves(refer to the post which i made,should give a good
idea)
"Are you ready to go anyway we send you are is there a particular place you like most?"
"Do you have a Girl Friend how long have you been together?"(for boys ofc)
They will ask you about your hobbies, if you say painting for example they will ask what you have
done to improve your skills in it.
"What is your fathers job?" or "How many brothers and sisters do you have?". For most of the HR
interviews there was always a family type question, shouldn't be a problem.
The biggest challenge you have faced so far in college
Why you choose your department and your favorite subjects (basically questions related to why you
choose the department and your interests).
THEN THE STRESS TEST: expect questions like "you have a low score in your aptitude why?", "your
marks are consistently low why ?", "You don't sound confident is that why you are speaking so softly ",
"you are an emotional person is it not , you look very tense".Remember these statements may or may
not be true about you try reply with a smile and positive comment like "I will try hard next time " or "I
will do correct these mistakes" etc. Just don't burst into tears like some of the girls in my college did
NOT GOOD!!!
"How badly do you want this job?"
And of course the most common questions "what did you eat in the morning? ",maybe a slight
variation like "you look tired have you had your lunch".
Then there was some questions on details about the company like "who is the CEO", "What do you
know about TCS", "Do you know what sector in IT TCS working". For these make sure you visit the
campus commune website and read all the details.
"What are you expecting from TCS?". For this just prepare a well rehearsed answer like "To improve
my skill and abilities in such a way that it is mutually beneficial to company and me"(What 2 of my
friends said , both selected of course)
Some questions from the resume, your co-curricular achievements , extra-curricular achievements. In
some cases the programming languages you know about.
Then some of the HR's asked questions logical questions like "Two people start from Delhi and Pune
one traveling at 20km/hr and the other 160km/hr in opposite directions both meet at a point who is
closer to Pune?" The answer is easy both as same distance since it is mentioned that they meet, THE KEY
HERE IS TO LISTEN CAREFULLY TO WHAT THEY ARE SAYING, some of my friends from other colleges did
not answer and thought the one going at 160km/hr was closer.Be prepared for questions of this type
testing your concentration.
"Are you going to do higher studies some time?"
"what is the hardest data structure for you "My friend said Trees, the HR are was like "Trees really
what about graphs, the LOLed real loud"
"about the various certification programs you have completed and why you took them"
Tech Panel:
To be honest this isn't hard really, all questions are simple nothing deep and tuff. Some of the
Interviewers did not even look at the code my friends wrote they just took the paper and used it as
paper fans :),
Programming, Data Structures and project related
"Write a java code using try catch statements"
"Explain about your project, implementations, front-end, back-end, technical details etc" BE extra
through about the details of all your projects
"code to implement a link list in C". "write it using pointers"
Some will ask you to write code from your projects(For some mechanical students theory behind
functionality of the project)
swap function without using temp variable
Explain linked list concept /stack/queue/trees
Explain different types of sorting
What is a null pointer, void point and a wild pointer
Explain the object oriented concepts in java(polymorphism,inheritance,encapsulation )
Then the sizes for various data types in C and Java
Program using thread/overriding/overloading in java.
Infix/postfix/prefix convertions
Java database connectivity.
what is a constructor?
other programs like prime numbers, odd/even easy stuff basic programming
Networks and OS
OSI layers in network model and functions of each layer
difference between TCP and UDP
"there are 2 systems in 2 different networks will you use a switch or a router to connect them"
What is the difference between switch, router , bridge
In OS questions related to the fork() command
Scheduling algorithms in OS
What is a semaphore
How many bits in an IP address
Draw a rough sketch of an IP packet
Layers of TCP/IP
A few questions related to the linux file system
Questions related to network address and host address
How is windows 7 different from XP
what is paging and questions related to that.
process life cycle
What is the ping command used for?
Database and Testing
This was all really easy MySQL queries which included select statements using where condition etc,
very easy queries.
Also some questions about normal forms, 1NF ,2NF, CNF.
Black box and white Box testing differences
Types of testing?
What is a test case?
Software life cycle models(waterfall models etc)
what is meta data?
Why is testing important?
This section had the most easiest of all questions, just study all the basics.
Other Department Students Tech Panel
Yes there is programming but it is not that deep here are a few samples
"explain about your project "(most frequent question asked to 78.9% students i got this information
from)
Then the interviewer asks what programming languages you know (most replied C), then he asks you
to write a simple programming like prime numbers ,swap without temp etc. In some cases write any C
program
To some EEE students the interviewer has ask how the ceiling fan/generator etc works
4 Mech students and 1 ECE student told me that the HR asked them their favorite subject and asked
him to explain about it
"what is CAD(he had CAD in his resume)"
Some questions related to data structures basics "what is stack"
Overall Pragramming and OS concepts are not going to be asked much unless you say you know
them.For example if you say you know java obviously he is going to ask a lot from it. Mostly others
departments had HR questions only or HR/tech.Everyone i asked said it was nothing tuff.Make sure you
know C programming , at least the basics.
Tech/HR panel
This is a mix and smash of both types of questions . Basically one HR will ask a tech questions and the
second HR will ask a HR questions. My friends kept on talking for all the HR questions he says it help
reduced the number of tech questions asked to him (I do not know the degree of effectiveness of this
idea :) ). By far these type of panels are easy to clear too.
After a few interviews it should be clear which panel is of which type. In my college the placement
representatives were responsible of putting you in a panel, just talk to them depending on which panel
you feel comfortable with.
Some important things
Speak clearly, most of the students who were selected could speak good English
Try not to sweat a lot, lots of interviewers ask they questions
Keep a separate copy of your resume in a stick file.
They was a incident in our college relating to under-performance. Basically some of the students who
were already placed went in and said they were placed in such and such company and they don't want
to come to TCS etc or that they don't like going for a job and want to do higher studies. DO NOT DO THIS
IT PISSED OFF THE INTERVIEWERS AND RESULTED IN LESS PLACEMENT COUNT AND IS REALLY RUDE. The
head of HR mentioned it during the closing ceremony. IF you want to under perform then do it without
it being too obvious. This incident happened in 3 colleges so far as I know, remember do not let your
actions effect other :) .(tell your friends who are planning on under performing this)
try wear a tie for boys and girls no high heels(one of the girls in my college tripped and fell in those ).
I do not know the degree of truth in this but most of my friends were saying that the female
interviewers were hot but deadly, since they asked the most questions and their interviews lasted the
longest
One more thing in my college students with cgpa over 7.5 had direct interview and those with < 7.5 had
to write aptitude which was tuff. Overall the hr/tech round is not that difficult just be calm and you can
clear it easy. Those who were selected got the offer letter on the same day through campus commune.
Good luck and feel free to ask any questions

Tcs new pattern 2013 set 12

This is what we’ve collected. If you’ve solve it please comment them. It’ll be a great help of the users of this site and to us also.

1.      There are three communities A,B & C. 2 members belong to all communities. 3 members belong to A & B. 3 members belong to B & C. 3 members belong to C & A. What is the minimum possible number of members in any of the 3 communities?The answer is 5. Draw Venn diagrams for this problem and you’ll easily get the answer.

2.      There are 5 men and 11 women. How many ways can a panel of 16 be formed such that the number of men is not more than 3?The answer is 2256.(Use combinations – 11c11+5c1*11c10+5c2*11c9+5c3*11c8)

3.      FGHIJKLMN are 8 people. They need to be divided into2 groups. They’ll give you some 5 conditions and they’ll ask you how can one of those groups be paired? You have to make sure all the conditions satisfy both the groups and select an answer.

4.      I don’t remember them. This is a time and work problem. X does a job alone in 5 days, y does a job alone in 8 days. When x, y and z work together they complete the job in 3 days. How many days does z take to complete the job alone.

5.      If sum of the values along the topmost row, bottom most row, left most column, and right most column is all equal to k, find the value of k. They’ll give you the values of a,b,c,d,e and f. They’ll give you a 4×4 table.You have to substitute the values of a,b,c,d,e and f in such a way that the sum equals to k and you find k. Sudoku logic.

6.      What is the largest four digit numb that is added to (some number around 7500) which will be exactly divisible by 9,12,13,54?There where 4options like 9000,9565,6050,8000(None of them were divisible by 54 when the options were added up  with that number)So thought it was dummy

7.      There was two problem on rolling of 3dice and what is the probability if the sum of outcome is 13,10

8.      Some scenario was given saying that In a street in Tokyo the house are build according to the following condition. 1^st house is always older than second house soo second house should be larger than 1^st house..No two houses of  same sizein that street..soo find which is the new house will some Data sufiency 

9.      A tree is cut and falls on the road the width of the road will be given

..so What will be the length of the tree if it fall exactly on the road..something like that.Height of the tree-width of the road was the answer

10.  If the given sheet is folded to form a cube, which side will be opposite to X? The answer is C. Just look at it 3 dimensionally. So, when you fold it A goes to the right of X. B goes on top and C will be opposite to X.

11.  What will be the time when A and B walks parallely if A is old and so walks slow and B is young and walks faster  A starts at 10.00 am,B starts at 10.15am and some conditions for reaching office if A starts 1^st What tym will B walk parallel to him  options where 10.20,10.30,11.00,11.05..data was not sufficient

12.  A starts riding his bike at 10 am, speed 20 kmph, B starts at 10 am, speed 40 kmph. A turns south at 12 o clock and B turns north at 11 am. They both meet at 2 pm. What’s the distance between A and B?The answer is 160 km.(Couldn’t figure out)

13.  Permutation problem on finding the 25^th word if the word RANKED is arranged in dictionary order

Tcs new pattern 2013 set 11

TCS QUESTION PAPER-2013(GCE, Aurangabad) –Set 11

 

This is what we’ve collected. If you’ve solve it please comment them. It’ll be a great help of the users of this site and to us also.

1.there are 4 exactly Sunday and 4 Thursday in the month of 31 days.so find the 1st day of tht month.

2.sum of 2 no is 50 and sum of there reciprocal is 1/12. So find these number.

3 there was 1 Q based on critical reasoning.

4. I had 6 -7 Q on time and work,time and distance, probability, ages. But don’t remember it nw.

5. I don’t remember the exact value. But the Q was-

 Wht should be added in  6440 that is when divided by 460 gives reminder 35.

7.Arun was all bent on building a new house. He carefully got the blue print of his house designed buy his friend Ashwin, a civil engineer. He wanted to build a room of dimension 27 by 48 ft and lay tiles in this room. Each tile was of dimension 2 by 3 ft. How many tiles should Arun buy?
216

8.Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit’s age. After further 8 years, how many times would he be of Ronit’s age? a.2 b.5/2 c.3/2 d.1

Ans A)2 times.

Given F=3S+S=4S —-(1)

F+8=5/2(S+8)—-(2)

By Substituting F=4S in (2) We get S=8

Therefore F=32.

Since After 16 years,F=48,S=24

So Father’s age after 16 years is 2 times of Son’s age.

9.Roy is now 4 year older than Erik and half of that amount than Lewis.If in two years Roy will be twice as old as Erick,then in two year what would be Roy age multiplied by Lewis age??

ans is 48

firstly two equation from 1st sentence ..

suppose roy=x, erik=y, lewis=z

so x=y+4….(1)

2nd is x=z+2…(2) (Roy is now 4 year older than Erik and half of that amount than Lewis so 4/2=2)

also after 2 years erik and roy relation wil b

x+2=2(y+2).. (3)

so put this into 1st equ. u will get y=2..

and then x=6,z=4(by substituting other)

nw asking multiplication after two years of roy n lewis is (6+2)*(4+2)=48..

10.If there are maximum acute angles then how many convex hectagons are there?

11.if a divided by 5,3,2 respectively  give the remainder 1,2,0.what is the no when is divided by 2 3, 5

number

12.How many polygon function of degree less than equal to 1 satisfy f(x)^2={f(n)^2={f{f(x))

13.The number of bacteria was growing in a city exponentially.at 4 pm yesterday , the number of bacteria was 400 and at 6 pm yesterday it was 3600.How many bacteria were there at 7pm yesterday?

10800

14.maximun number of identical pieces(of same size) of a cake by making only 3 cuts? -6

15.Find the area (in square units) of the triangle formed by 2x+3y=5, y=x and X-Axis.

the points of intersection for lines:

2x+3y=5 and x=y => 5x=5 => x=1 and y=1 =>(1,1)

x=y and y=0(x-axis) => x=0 and y=0 =>(0,0)

2x+3y=5 and y=0(x-axis) => 2x=5 => x=5/2 and y=0 =>(5/2,0)

area of triangle with vertices (x1,y1),(x2,y2),(x3,y3) is

|x1(y2-y3)+x2(y3-y1)+x3(y1-y2)|/2

=|1(0-0)+0(0-1)+5/2(1-0)|/2

=|1+5/2|/2

=7/4 sq units…

16.The ratio of perimeter of an equilateral triangle having an altitude equal to the radius of the circle, to the perimeter of an equilateral triangle inscribed in that circle is ?

17.35674 term in 1 ,2,3,4,5,6,7,8,9,10,11,12,13….

35674

Tcs new pattern 2013 set 10

TCS New Pattern 2013, Heritage, Kolkata — Set 10:

This is what we’ve collected. If you’ve solve it please comment them. It’ll be a great help of the users of this site and to us also.
1. [Q-6]Jain housing complex on OMR has a democratically elected
governing council comprising of the president, secretary and the
treasurer. During their annual meeting,
they takeup 3 different
initiatives for discussion and voting, namely, painting of exteriors, 24
hour security, and additional water tank. They vote as below
· Each member of the council votes for at least one of the
initiatives and against at least of the initiatives
· Exactly two members of the council votes for the painting
initiatives
· Exactly one member of the council vote for the security
initiatives
· Exactly one member of the council vote for the water tank
initiatives
· The president votes for the painting initiative and votes against
security initiative
· Security votes against painting initiative
· Treasurer votes against water tank initiative
Which one of the following statement could be true?
A. President and Secretary vote the same way on the water tank
initiative
B. Secretary and Treasurer vote the same way on the painting
initiative
C. Secretary and Treasurer vote the same way on the Security
initiative
D. President votes for one of the initiatives and Secretary votes for
two of the initiatives
Options
o A
o C
o B
o D
1. [Q-11]If X^Y denotes X raised to the power of Y, find out last two
digits of (2957^3661)+(3081^3643)
Options
o 42
o 38
o 98
o 22
2. [Q-12]In Loonyville, four people called Doctor, Engineer, Lawyer and
Architect follow the professions of doctor, engineer and architect.
However, none of them follow the profession indicated by their
name.
The architect has no pets. The engineer is very public spirited, but
has won no recognition or awards. Lawyer is a cricket fan. Engineer
plays golf regularly with Lawyer every Saturday, unless it rains.
Doctor is an only child. The mayor gave Architect an award for public
service. The Lawyer’s sister loves cooking. Engineer has a dog. The
architect’s only sporting interest is football.
What is the name of the Lawyer?
Options
o Architect
o Doctor
o Engineer
o Cannot be determined
3. [Q-19]In an year N, the 320th day of the year is Thursday. In the year
N+1 the 206th day of the year is also Thursday. What is the 168th day
of In the year N-1?
Options
o Friday
o Thursday
o Tuesday
o Saturday
4. [Q-24]Anand, Babu, Charlie, Dhanush, and Eesha recently found out
that all of their birthdays were on the same day,
Though they were born in different years
On their birthday, they were chatting about their ages
- Dhanush said to Babu “I am nine years older than Eesha”
- Eesha said to Babu “I am seven years older than Anand”
- Babu said to Charlie “Eesha is younger than you”
- Anand Said to Babu “ Your age is exactly 70% greater than my
age”
- Charlie said to Dhanush “The difference between our ages is six
years”
- Charlie said to Anand “I am ten years older than you”
- Charlie said to Anand “Babu is younger than Dhanush”
- Babu said to Charlie “The difference between your age and
Dhanush’s is the same as the difference between Dhanush’s and
Eesha’s”
They were not telling the truth, When each one of them spoke to
someone older, everything they said was true,
But, when speaking to someone younger, everything they said
was false.
How old was Eesha?
Options
o 30
o 37
o 55
o 51
5. [Q-30]George, Paul and Hari start a business by contributing Rs.
30000/-, Rs. 40000/- and Rs. 50000/- respectively. After ½ a year
George withdraws half his contribution. At the end of the year the
business showed a profit of Rs 90000 which was divided amongst
the 3 men proportionate the to amount and duration of their
investment in the enterprise. Paul got,
Options
o Rs 25000/-
o Rs 18000/-
o Rs 32000/-
o Rs 24000/-
6. [Q-23]A bag contains six sticks of the following lengths 1 cm, 3 cm,
7 cm, 11 cm and 13 cm. three sticks are drawn at random from the
bag. What is the probability that we can form a triangle with those
sticks?
Options
o 11/20
o 1
o 1/4
o 2/5
7. [Q-5]][[[[ Different from earler]]]]]]
In Loonyville, four people called Doctor, Engineer, Lawyer and
Architect follow the professions of doctor, lawyer, engineer and
architect. However, none of them follow the profession indicated by
their name.
Doctor plays bridge very regularly, as he thinks it as an intellectual
card game. Doctor is allergic to sea food, and does not eat it at all.
Architect nearly died in a car accident two years ago. The architect is
very poor at card games and does not play them at all. The engineer
loves fish and has it twice a week. The engineer is a good driver, and
has never been involved in a car accident. Engineer does not like the
Lawyer’s habit of constantly interrupting others.
What is the profession of Engineer?
Options
o a lawyer
o an architect
o a doctor
o Cannot be determined
8. [Q-1] 12 divides, ab313ab (in decimal notation, where a,b are
digits>0, the smallest value of a+b is
Options
o 7
o 6
o 2
o 4
9. [Q-28] [[Some part of question missing, indicated with ----]] Raj
invested in Indigo, HUL and SBI shares at Rs. 300, Rs. 200 and Rs. 5
per share, ——— 100 shares for Rs.10000. The number of Indigo
and HUL shares he bought are respectively
Options
o 15, 25
o 23, 17
o 17, 23
o 17, 60
10. [Q-3] The figure below shows a “size 3” equilateral triangle
divided into 9 “size 1” equilateral triangles. The figure has 6 upward
facing and 3 downward facing “size 1” equilateral triangles, 3
upward facing and no downward facing “size 2” triangles and
1 upward facing “size 3” triangle. It has a total of 13 equilateral
triangles of all sizes
Options
o 13
o 14
o 36
o 16
11. [Q-18] A drinks machine offers three solutions – Tea, Coffee or
Random but the machine has been wired up wrongly so that each
button does not give what it claims. If each drink costs Rs. 50,
what is the mimimum amount of money that must be spent to
determine with certainity the correct labeling of the buttons?
Options
o Rs. 100
o Can not be determined from the given information
o Rs 150
o Rs 50
12. [Q-8] For any two numbers we define an operation $ yielding
another number, X $ Y such that following condition holds:
· X $ X = 0 for all X
· X $ (Y $ Z) = X $ Y + Z
Find the Value of 2012 $ 0 + 2012 $ 1912
Options
o 2112
o 100
o 5936
o Can not be determined
13. When numbers are written in base b, we have 12 x 25 = 333.
The value of b is
a. None of the choices
b. 7
c. 8
d. 6
14. 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?
a. 1
b. 0
c. 17/21
d. 13/21
15. There is a staircase with 10 steps. A child runs up the steps,
either 1 or 2 steps with each stride. How many different ways can
the steps be climbed by her?
a. None of the choices
b. 45
c. 89
d. 10
16. A cine multiplex MNOX has 3 screens. Cinema1, Cinema2,
Cinema3. The multiplex prints 3 sets of tickets for September and
three sets of tickets for October. One set for each its cinema for two
months. The company tickets are printed in a consistent manner
with the following conditions.
1. Each of the six sets of tickets is exactly one of the following colors:
Green, blue, red and white
2. For each cinema, the September tickets are different in color than
the October tickets.
3. For each month, tickets for different cinemas are in different
colors.
4. Exactly one set of September is red.
5. For cinema 3, either the September tickets or the October tickets ,
but not both are green.
6. The September tickets for cinema 2 are blue.
7. No October tickets are blue.
If the cinema 3 tickets for September are red, then which one of the
following statements must be true?
a. The cinema 1 tickets for September are green.
b. The cinema 1 tickets for October are red.
c. The cinema 1 tickets for September are white.
d. The cinema 3 tickets for October are green.
17. Box of fruits can be loaded into a truck in 9 minutes by a
worker. And 8 boxes will fill a truck completely. How many trucks
can be loaded in 1 ½ hours if there are 16 men together.
a. 1
b. 2
c. 3
d. 0
18. The figure below shows a “size 3” equilateral triangle divided
up into 9 “size 1” equilateral triangles. The figure has 6 upward
facing and 3 downward facing “size 1” equilateral triangles, 3
upward facing and no downward facing “size2” equilateral triangles
and 1 upward facing “size 3” triangle. It has a total of 13 equilateral
triangles of all sizes.
The following size 6 triangle is divided up in the same way. What is the
number of triangles that has the marked point on a side or vertex.
a. 36
b. 13
c. 14
d. 16
19. Each of A,B and C need a
certain unique time to do certain work. C needs 1 hour less than A
to complete the work. Working together they require 30 minutes to
complete 50% of the work. The work also gets completed if A and B
start working together and A leaves after 1 hour and B works further
3 hours. How much work does C do per hour?
a. 16.66%
b. 66.66%
c. 50%
d. 33.33%

20. X ^ Y denotes X raised to
power Y, find the last two digits (2361 ^ 4507) + (1741 ^ 3581)
a. 02
b. 82
c. 42
d. 62
21. There is a set of 9 numbers
that relate to each other in a certain way. Find the way the first set
of boxes works. The numbers in the second set work in exactly the
same way. Find the missing value in the second set.
12 25
17 4 272
22 19 1672
a. 1482
b. 1090
c. 1200
d. 374
22. A sequence x1 , x2 and x3 …
is said to be in a harmonic progression if the reciprocals 1/x1,1/x2
and 1/x3 are in arithmetic progression. The 5th term and the 7th term
17 10 680
21 18 1512
7 1 28
for an harmonic progression are 30 and 50 respectively. What is the
difference between the 6th and 4th term.
a. 16
b. 14.5
c. 13.4
d. 12.5.

Tcs new pattern 2013 set 9

What is the value of x after the following code fragment is executed?

a = 10, b = 9, c = 3

if (c divides a) {

if (b > c) {

x = 1

} else {

x = 2

}

} else {

if (c divides b) {

x = 3

} else {

x = 4

} }

·         4

·         3

·         1

·         2

Points A and B move with uniform speed along straight lines that intersect at right angles at point O. When A is at O, B is 300m from O. After 5 minutes they are equidistant from O. After 4 more minutes, they are again equidistant from O. Then the ratio of A’s speed to B’s speed is

·         4:19

·         5:9

·         4:9

·         9:5

·         4:14

On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny plantoids called ameeba start growing on the rocks. ameeba grows in the form of a circle and the relationship between the diameter of this circle and the age of ameeba is given by the formula d = 5 * √ (t – 9) for t ≥ 9 where d represents the diameter in mm and t the number of years since the solar blast. Jagan recorded the radius of some ameeba at a particular spot as 9mm. How many years back did the solar blast occur?

·         20

·         12.24

·         12.96

·         21.96

You have 94m of lumber and want to make a border around your swimming pool. You contemplate the following shapes for the pool. Which of these shapes can be enclosed by 94m of lumber?

In the figures below X= 31m, Y = 16m and all angles except those in the parallelogram are right angled.

·         A and B

·         A only

·         B and D

·         A and C

A chocolate drink is 11% pure chocolate by volume. If 13 litres of pure milk are added to 29 litres of this drink, the percent of chocolate in the new drink is approximately

·         7.6

·         11

·         72.52

·         37.93

If p, q, r and s are nonzero numbers such that p and q are the roots of the quadratic x² + rx + s = 0 and r and s are the roots of the quadratic x² + px + q = 0, then p + q + r + s =

·         2

·         -2

·         0

·         4

·         (-1 + √5)/2

If 9 points X₁, X₂, …, X₉ are chosen on a straight line in that order (but not necessarily evenly spaced), and Y is an arbitrary point on the line and S is the sum of the distances YX₁, YX₂, …, YX₉, then S is minimized when the point Y is

·         midway between X₂ and X₈

·         at X₉

·         at X₅

·         midway between X₄ and X₆

·         midway between X₁ and X₉

If all desks are wooden objects and some furniture are desks, which of the following statements must be true?

I. All desks are furniture.

II. Some wooden objects are furniture.

III. Some desks are not furniture

·         None of them are true

·         I only

·         III only

·         II and III only

·         II only

Cubes C₁, C₂, C₃… and spheres S₁, S₂, S₃… are defined in the following way.

·         S₁ has radius 4cm.

·         For each n > 0, C_n is inscribed in S_n and S_n+1 is inscribed in C_n (i.e. C₁ is inscribed in S₁, S₂ is inscribed in C₁, C₂ is inscribed in S₂ and so on).

Let V_n be the sum of the volumes of the first n cubes C₁, C₂,…, C_n. Then as n → ∞ V_n approaches

·         64(1+3√3)/13

·         384(1+3√3)/13

·        

What is the number of distinct squares in G(3,3)? Each square should have its vertices among the dots and its sides should be vertical or horizontal.

·         14

·         5

·         9

·         4

Let P be the product of any three consecutive positive odd integers each of which is less than 146. Then the largest integer dividing all such P is

·         1

·         6

·         3

·         7

·         15

Aditya has 35 computer files that he wants to store on floppy disks. Each floppy disk has a capacity of 1.44 megabytes (MB). 2 of the files have size 0.8MB, 16 have size 0.7MB and the remaining 17 have size 0.4MB. No file can be split across floppy disks. What is the minimal number of floppy disks that will hold all these files?

·         16

·         18

·         14

·         15

·         17

Given a 5 x 7 chessboard, a rook is placed at the lower left corner. Players A and B take turns moving the rook. A plays first and each turn consists of moving the rook horizontally to the right or vertically above. The last person to make a move wins the game. At the completion of the game, the rook will be at the top right corner. For example, the figure below shows a 3 x 4 chessboard and the sequence of moves that leads to a win for player A.

What is a winning first move for A (in the given 5 x 7 chessboard) ?

·         There is no winning move, i.e. A has no winning strategy.

·         Moving the rook 2 places above.

·         Moving the rook 2 places to the right.

·         Moving the rook 1 places above.

·         Moving the rook 3 places to the right.

Mr. Decimal enters a lucky draw that requires him to pick five different integers from 1 through 31 inclusive. He chooses his five numbers in such a way that the sum of their logarithms to base 10 is an integer. It turns out that the winning 5 numbers have the same property, i.e. the sum of their logarithms to base10 is also an integer. What is the probability that Mr. Decimal holds the winning numbers?

·         1/8

·         1/6

·         1

·         1/2

·         1/4