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Infosys Aptitude - Puzzle Placement Paper 10 Sep 2006 Chennai

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INFOSYS SAMPLE PAPER ON tenth SEPTEMBER2006 AT CHENNAI

Hi Friends,

            I attended Infosys written test on September tenth in chennai

Here are the ques..

 

1.Solve for X,   (3 marks)

 

(X) 1/3 –(X) 1/9=60

 

2.A person took part in a cycling race with many others. After pedaling for several minutes, he obtained that 1/5 th of the racers ahead of him and 5/6 th of the cyclist behind him together formed the total number of participants. How many people participated in the race?

 

Solution:

 Let X be the total number of racers.

Then,

          (X-1)/5 – 5(X-1)/6=X

            X=31(Sure)

 

3.A big cube painted red on all the sides. It was cut into 27 smaller cubes by six straight lines. How many of the smaller cubes painted on all three sides, on two sides, on one side and no faces painted? (8 marks)

 

Solution:

Let n be the side of cube.

Sides of cube = three X three X 3

No faces painted=(n-2) X (n-2) X (n-2)

                           =(3-2) X (3-2) X (3-2) = 1(Sure)

 

1 side painted = six X (n-2) X (n-2)

                        =6(Sure)

 

 

2 sides painted = 12 X (n-2)

                        = 12(Sure)

 

 

All the three sides painted = 8(Sure)

 

4.There is a five-digit number. The 5th digit is 1 4th of the 3rd digit and 1 half of the 4th digit. 3rd digit is 1 half of the 1st digit. 2nd digit is five more than the 5th digit. What is that 5-digit number? (6 marks)

 

Solution:

Let the 5th digit be X, then 4th digit =2X and 3rd digit = 4X.

And also 2nd digit is five more than the last digit.

Therefore second digit = X + 5

Also 1st digit = 4X * 2

 

It is clear from the above statements that the 5th digit must be 1.

 

Therefore the number is 86421. (Sure)

 

5.A car is traveling in a uniform speed. The driver sees a milestone, which is a 2-digit number. After traveling for an

Hour the driver sees a different milestone with the identical digit in reverse order. After a different hour the driver sees a different milestone containing the identical two-digit number with 0 in ranging from them. What is the avg. speed of the car?

 

Solution:

Let the milestone be XY.

After an hour he saw a milestone numbered YX.

After a different hour he saw a milestone numbered X0Y

 

The number is 16,61,106

 

(61-16) = (106-61) = 45

 

And the avg. speed is 45 km/hr. (Sure)

 

6.B and C initially speak English but when D joined Spanish they too took up Spanish. The only common language ranging from A, B and E is French. The only common language ranging from C and E is Italian. 3 people speak Portuguese. Most common language is Spanish. 1 person knows all the five language, 1 person knows four languages, 1 person knows three languages, 1 person knows two languages and 1 person knows only 1 language. (8 marks)

 

Solution:

 

A ->French, Spanish, Portuguese (Sure)

B ->English, Spanish, French, Portuguese, Italian (Sure)

C -> English, Spanish, Italian, Portuguese (Sure)

D ->Spanish (Sure)

E ->French, Italian (Sure)

 

7.Uncle Reuben and aunt Cynthia came to town to shop.Reuben bought a suit and hat for $15.Cynthia paid as much as for her hat as Reuben did for his suit.Then she spent the rest of her money for her dress.On the way to home Cynthia called Reubens attention to the fact that his hat cost $1 more than her dress.Then uncle stated if we had divided our hat money differently such that we bought a various hats mine costing one and ½ times cost of yours then we would have spent the equal amount of money.

(i)How much the hat would cost in that case?

(ii)What is the total amount spent?

 

Solution:

         3,31(not sure)

 

8.There was a match to be held.And 100 nations were to participate in that match.It was totally an elimination match,that is if a team loses a match it must be eliminated.Find out the total number of matches played to obtain out the grand winner?

 

Solution:

        99

 

9.There were totally 100 men.85 are married.75 have T.V, 85 have radio,70 have A.C. How many men have T.V, radio, A.C and also married?

( 0 Votes )

Earning: ₹ 2/-

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