TCS
New Pattern 2013, Heritage, Kolkata — Set 10:
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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 to1. [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%
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.
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