TCS New Pattern 2013, Heritage, Kolkata

 TCS New Pattern 2013, Heritage, Kolkata

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1. Jain housing complex  has a democratically elected governing council comprising of the president, secretary and the treasurer. During their annual meeting,they take up 3 different initiatives for discussion and voting, namely, painting of exteriors, 24 hour security, and additional water tank. They vote as below

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· 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

1.A
2.C
3.B
4.D
 

1.If X^Y denotes X raised to the power of Y, find out last two digits of (2957^3661)+(3081^3643)
1.42
2.38
3.98
4.22
 

2.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?

1.Architect

2.Doctor
3.Engineer
4.Cannot be determined
 

3. 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?
 1.Friday
2.Thursday
3.Tuesday
4.Saturday
 

4. 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?
1.30
2.37
3.55
4.51
 

5. 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,
1.Rs 25000/-
2.Rs 18000/-

3.Rs 32000/- 

4.Rs 24000/-
 

6.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?
1.11/20

2.1
3.1/4
4.2/5
 

7. 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?
1.a lawyer
2.an architect
3.a doctor
4.Cannot be determined
 

 8. 12 divides, ab313ab (in decimal notation, where a,b are digits>0, the smallest value of a+b is
1.7
2.6
3.2
4.4
 

9.  [[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

1.15, 25
2.23, 17
3.17, 23
4.17, 60
 

10.  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, 3upward 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
1.13
2.14
3.36
4.16
 

11. 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 minimum amount of money that must be spent to determine with certainty the correct labeling of the buttons?
1.Rs. 100
2.Can not be determined from the given information
3.Rs 150
4.Rs 50
 

12. 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
1.2112
2.100
3.5936
4.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 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