Interview Procedure - INFOSYS PLACEMENT PAPER HELD ON 4TH SEPTEMBER 2005

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Interview Procedure | Question 25 of 32

INFOSYS PLACEMENT PAPER HELD ON 4TH SEPTEMBER 2005

The selection process consisted of 2 rounds, the written test and interview. The written test consisted of two rounds.First we had 10 puzzles for 60minutes.Second we had verbal test for 30minutes (very easy)

PUZZLE TEST

1. A die is arranged such that it has faces 1 against 6, 3 against 5, and 2 against 4 always. How many combinations of such faces are possible in that dice?
3 Marks
ANSWER: 24 WAYS

Keeping 1 and 6 fixed, 3 and 5 can be arranged in two ways; similarly 2 and 4 can be arranged in two ways. Therefore 4 ways, interchanging 1 and 6 another 4 ways are possible. Total of 8 ways are possible keeping 1 and 6 fixed.
Similarly keeping 3 and 5 fixed another 8 ways are possible.
Similarly keeping 2 and 4 fixed another 8 ways are possible.

Therefore totally 8+8+8=24 ways are possible.

2. Tom’s uncle died leaving Rs.1000 to be divided among his five nephews. The money is to be divided among the 5 nephews according to their ages. A person gets Rs.20 more than his immediate younger brother. Tom being the youngest, find his share? 3 Marks
ANSWER: Rs.160

Let Tom’s share be N.
Then N+N+20+N+40+N+60+N+80=1000.
5N+200=1000
5N=800
=> N=160
Tom’s share is Rs.160.

3. Nivya while going through a book observed that it had no page numbers. She started marking page numbers. Totally she used 61 3’s. Can you find how many pages that book had? 3 Marks
ANSWER: The book consisted of 300 pages

For pages 1-100, 20 3’s are required.
For pages 101-200, 20 3’s are required.
For pages 201-299, 20 3’s are required.

Finally one 3 for 300th page.
Therefore totally 20+20+20+1=61 3’s was used.
The book consisted of 300 pages

4. There are seven paintings T, U, V, W, X, Y, Z of which five has to be selected for an exhibition. Following are the conditions
(i) If T is selected, X cannot be selected
(ii) If U is selected, Y must be selected
(iii) If V is selected, X must be selected 8 Marks
Four questions following this.

a) Which one of the following is an acceptable combination for inclusion in the exhibition?

A) T,U,V,X,Y B) T,U,V,Y,Z C) T,W,X,Y,Z D) U,V,W,Y,Z E) U,V,X,Z,Y

b) If painting T is chosen to be among the paintings included in the exhibition which one of the following cannot be chosen to be among the paintings included in the exhibit?
A) U B) V C) W D) Y E) Z

c) Which one of the following substitutions can the artist always make without violating restrictions affecting the combination of paintings given that the painting mentioned first was not, and the painting mentioned second was, originally going to be chosen?

A. T replaces V B. U replaces Y C. V replaces X
D. W replaces Y E. W replaces Z

d) If the artist chooses painting V to be included among the paintings in the exhibit, which one of the following must be true of that combination of paintings?

A. T is not chosen B. Y is not chosen C. U is chosen
D. W is chosen E. Z is chosen
ANSWER:
a) E
b) B
c) E
d) A

5. There is a large cube which is painted in blue. Now this large cube is cut into 27 small cubes in 6 large cuts. How many cubes have?
(i) All three sides painted
(ii) Two sides painted
(iii) One side painted
(iv) No side painted 8 Marks

ANSWER:
a) 8
b) 12
c) 6
d) 1

6. An old man is having some number of coins with him. He has five sons and five daughters. He has a car driver also, whom he loves very much.
First he gives one coin to his driver. Then 1/5th of the remaining to his first son, one coin to his driver, 1/5th of the remaining to his second son, one coin to his driver…till his 5th son. And the remaining coins, he equally divided to his daughters. How many coins did the old man have? 6 Marks
16406(check this)

I don’t remember the other 3 questions. But those were based on
8. Simple arithmetic 5 Marks
9. Clocks 4 Marks
10. Time and distance 4 Marks

I got placed in Infosys. I think their cut off was based on hit ratio.
The questions asked for me in the interview were
Tell me about yourself
One simple puzzle to solve
Your interests
Your favorite sport
An event which you organized
An example of your team work
Any questions for me?

I jus prepared for 3 days. I went through only Infosys old papers and puzzles to puzzle you by Shankunthala Devi. 6 questions were repeated from Infosys old papers.

Total Answers and Comments: 0

Last Update: November 14, 2005 Asked by: ankith

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