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Wednesday 4 January 2012

Infosys Placement Paper March 2011

Infosys Placement Paper March 2011:-

1. Mr.Mathurs jewels have been stolen from his bank locker . The bank has lockers of 12 people which are arranged in an array of 3 rows and 4 columns like:
1 2 3 4
5 6 7 8
9 10 11 12

. The locker belonging to JONES was to the right of BLACK'S locker and directly above MILLAR'S.
. BOOTH'S locker was directly above MILLAR'S.
. SMITH'S locker was also above GRAY's (though not directly).
. GREEN'S locker was directly below SMITH'S.
. WILSON'S locker was between that of DAVIS and BOOTH.
. MILLAR'S locker was on the bottom row directly to the right of HERD'S.
. WHITE'S locker was on the bottom right hand corner in the same column as BOOTH'S.

Which box belonged to Mr.Mathurs?

Ans: Box number 9 belongs to Mr.Mathurs.


2. Fifty minutes ago if it was four times as many minutes past three o'clock,how many minutes is it to six o'clock?

Ans: Twenty six minutes.

3. If a clock takes 7seconds to strike 7, how long will the same clock take to strike 10?

Ans: The clock strikes for the first time at the start and takes 7 seconds for 6 intervals-thus for one interval time taken=7/6.
Therefore, for 10 seconds there are 9 intervals and time taken is 9.7/6=10 and 1/2 seconds.


4. Three criminals were arrested for shop lifting. However, when interrogated only one told the truth in both his statements, while the other two each told one true 
statement and one lie. The statements were:

. ALBERT :(a)Chander passed the merchandise. (b)Bruce created the diversion.
. BRUCE :(a)Albert passed the merchandise. (b)I created the diversion.
. CLIVE :(a)I took the goods out of the shop. (b)Bruce passed them over.

Ans: Albert passed the goods.Bruce created the diversion..Clive took the goods out of the shop.


5. Everyday in his business a merchant had to weigh amounts from 1 kg to 121 kgs, to the nearest kg. What are the minimum number of weight required and how heavy should they be?

Ans: .The minimum number is 5 and they should weigh 1,3,9,27 and 81 kgs.

6. A hotel has 10 storeys.Which floor is above the floor below the floor, below the floor above the floor, below the floor above the fifth.

Ans: The sixth floor.

7. Seven members sat around a table for three days for a conference.
The member's names were Abhishek, Amol, Ankur, Anurag,Bhuwan ,Vasu and Vikram. The meetings were chaired by Vikram. On the first evening members sat around the table alphabetically. On the following two nights, Vikram arranged the seatings so that he could have Abhishek as near to him as possible and abesent minded Vasu as far away as he could. On no evening did any person have sitting next to him a person who had previously been his neighbour. How did Vikram manage to seat everybody to the best advantage on the second and third evenings?

Ans:
Second evening:Vikram,Ankur,Abhishek,Amol,Vasu,Anurag and Bhuwan.
Third evening :Vikram,Anurag,Abhishek,Vasu,Bhuwan,Ankur,Amol.

8. Two trains start from stations A and B spaced 50 kms apart at the same time and speed.
As the trains start, a bird flies from one train towards the other and on reaching the second train, it flies back to the
first train.This is repeated till the trains collide.
If the speed of the trains is 25 km/h and that of the bird is 100km/h.
How much did the bird travel till the collision.

Ans: 100 kms.

9. Four prisoners escape from a prison.
The prisoners, Mr East, Mr West, Mr South, Mr North head towards different directions after escaping.
The following information of their escape was supplied:

. The escape routes were The North Road, South Road, East Road and West Road.
. None of the prisoners took the road which was their namesake.
. Mr.East did not take the South Road
. Mr.West did not the South Road.
. The West Road was not taken by Mr.East

What road did each of the prisoners take to make their escape?

Ans: Mr.East took the North Road
Mr.West took the East Road
Mr.North took the South Road
Mr.South took the West Road.


10. Complete the series:
5, 20, 24, 6, 2, 8, ?

Ans: 12 (as 5.4=20, 20+4=24, 24/4=6, 6-4=2, 2.4=8, 8+4=12).

11. In the month of october in a year has exactly four mondays and four fridays, find what day of week wiil be on the 20th of November of that year.

Ans: 20th November was a wednesday.

12. Six persons A,B,C,D,E & F went to solider cinima. There are six conseutive seats. A sits in one of the seats followed by B, followed by C and soon. If a taken one of the six seats , then B should sit adjacent to A. C should sit adjacent A or B. D should sit adjacent to A, B,or C and soon. How many possibilities are there?

Ans: 32 ways.

13. In mathematica country 1,2,3,4....,8,9 are nine cities. Cities which form a no. that is divisible by 3 are connected by air planes. (e.g. cities 1 & 2 form no. 12 which divisible by 3 then 1 is connected to city 2). Find the total no. of ways you can go to 8 if you are allowed to break the journies.

Ans: 5.

14. ABCDE are sisters. Each of them gives 4 gifts and each receives 4 gifts No two sisters give the same combination ( e.g. if A gives 4 gifts to B then no other sisters can give four to other one.)

(i) B gives four to A.
(ii) C gives 3 to E.

How much did A,B,C,E give to D?

Ans: Donor no of gifts A 1 B - C 1 D 2

15. There are some bulbs,which are numbered from 1 to 100.all the bulbs are in on conditions. The following operations are performed:-

1. Those bulbs number which are divisible by 2 are switched OFF.
2. Those bulbs numbered which are divisible by 3 are switched ON (which are already OFF) and OFF bulbs are switched ON.
3. Similarly bulbs numbers divisible by 4 are either switched ON or OFF depending upon there previous condition.
4. This procedure is adopted till 100th bulb.

At the end there were how many bulbs which were in ON condition?

Ans: 10 ( only perfect squares ).

16. There are different numbers related with A,B,C,D,E.such that, AB*CD=EEE. E*CD-AB=CC.

Find AB*D.

Ans: BE.

17. A, B, C are 3 girls and there are 770 Apples. For every 4 Apples, A takes,B takes 3. For ever 6 Apples, C takes 7 Apples? 

Ans: 261:145:303.

18. Find a five digit number subject to following conditions:-

a. It contains 2 prime no digits.
b. 3rd digit is the lagest.
c. 1st digit = (3 rd digit - 1).
c. Sum of 4th digit and 5th digit is less than 1st digit.
d. Value of the 5th digit lies between the value of 1st digit and 2nd digit, 5th digit is one half of the 4th digit.

Ans: 71842

19. 1, 2 , 3, 4 digits are available. How many number of 4 digited numbers which are divisible by 4. (There should be no repetition of digits in the numbers) can be formed?

Ans: 6 numbers.

20. A hill of 440 yards is there. Two competitors JACK and JILL go up the hill, first JACK reaches the topmost and immediatly starts back and meet JILL 20 yards from the topmost point. Finally JACK reaches the starting point 0.5 minutes earler than JILL. Speed while coming down is 1.5 times the speed of going up. Find the time taken by JACK for whole journey (880 yards)?

Ans: 6.3 minutes.

21. A merchant in the last day sells 2 lamps for Rs.12 price. He finds that he has got 25 % gain on one and 20% lost on the other. Did he loose or gain overall? If so how much?

Ans: 60 paise Loss.

22. 4 persons are there caledd JOHN, JACOB, PITER, and WILLIAMS. 4 laungages are there named ENGLISH, ITALIAN, GERMAN, FRENCH. Conditions:-

a. There is no common language for all.
b. Except one language, no language is spoken by more than two.
c. One can know either German or FRENCH but not both.
d. John can't speak ENGLISH But John can act as interpreter between JACOB and PITER. Jacob knows GERMAN but he can tailk with WILLIAM who doesn't know a word of GERMAN.
e. No common language between JOHN, PITER, and WILLIAMS.

Which two languages does each person speaks?

Hint: ITALIAN IS SPOKEN BY THREE PERSONS (This hint is given in Question paper)

23. I participated in a race.1/5th of those who are before me are equal to 5/6th of those behind me. What were the total number of contestants in the race?

24. Find the 3 digit number. Third digit is square root of first digit. Second digit is sum of first and third digits. Find the number.

25. This problem is of time and work type. Some A and some B are able to produce so many tors in so many hours.(for example 10 A and 20 B are able to produce 30 tors per hour). Like this one more sentence was given. We have to find out the rate of working of A and B in tors/hour.

26. A and B play a game of dice between them. The dice consists of colors on their faces instead of numbers. A wins if both dice show same color. B wins if both dice show different colors. One dice consists of 1 red and 5 blue. What must be the color in the faces of other dice.(i.e how many blue and how many red?). Chances of winning for A and B are even.

27. There is a merry-go-round race going on.One person says,"1/3 of those in front of me and 3/4 of those behind me, give the total number of children in the race". Then the number of children took part in the race? (repeated from previous papers)

Ans: 13

[ Assume there are x participants in the race.In a round race,no: of participants in front of a person wil be x-1 an that behind him wil b x-1. i.e, 1/3(x-1) + 3/4(x-1) = x ; solving x = 13 ]

28. In an Island the natives lie and visitors speak truth. A man wants to know whether a salesman beside him in a bar is a native or visitor. He asked him to ask a woman beside him whether she is a native or visitor. He replied "she says she is a visitor". Then he knew that the salesman is a native or visitor. salesman is in which category , native or visitor?

Ans: Native

29.Jack,Doug and Ann, 3 children had a running race while returning from school.Mom asked who won the race. Then Jack replied" I wont tell u.I wil give u a clue,When Ann takes 28 steps Doug takes 24 steps, meantime I take 21 steps. Jack explained that his 6 steps equals Droug's 7 steps and Ann's 8 steps. Who won the race? (repeated from previous papers)

Ans: Doug

[ Ann steps = 8,16,24,28 --- finished by 3 & half full steps

Doug steps=7,14,21,24 --- finished before 3 & half full steps

Jack steps= 6,12,18,21 --- finished by 3 & half full steps

So Doug won the race ]

30. Every day a cyclist meets a car at the station.The road is straight and both are travelling in the same direction. The cyclist travels with a speed of 12 mph.One day the cyclist comes late by 20 min. and meets the car 5miles before the Station. What is the speed of the car?

Ans: 60 mph

[Very similar to Shakuntala Devi puzzles to puzzle you problem no: 38 ]

31.A lady goes for shopping. She bought some shoestrings. 4 times the number of shoestrings, she bought pins and 8 times, handkerchiefs. She paid each item with their count as each piece's cost. She totally spent Rs. 3.24.How many handkerchiefs did she buy? 

32. Complete the series :

a) 3,6,13,26,33,66,____(repeated from previous papers)

b) 364,361,19,16,4,1,___( " " " )

Ans: a) 63

33. A train and A Cyclist reaches a station every day at the same time. One day the Cyclist starts 20 minutes late from his house. On his way to station the train crosses him at 5 miles before station. The speed of cyclist is 12mph. Find the speed of the train. 

Ans:60mph 

34. There is an element which triplicates in every hour. Each of these 3 items inturn reproduce exactly 3 other items. If a single compund is kept in a container at noon and the container is full by midnight. After how many hours is the container 1/3 full. 

Ans:11:00pm 

35.  A person goes to a bank and Quotes x Rs and y paise on a cheque. The cashier misreads it and gives y Rs and x paise. The man comes out and donates 5 paise to a begger. Now, the man has exactly double the amount he has quoted on the cheque. 

Ans: 31 Rs. and 63 paise. 

36. Pepsi, Fanta, Cola order either coffee or tea after dinner. 

a)If pepsi orders coffee, Fanta orders the drink that is ordered by cola. 
b)If fanta orders coffee, pepsi do not order the drink that is ordered by cola. 
c)If cola orders tea, pepsi orders the same drink ordered by fanta. Who take the same drink every day. 

Ans:Pepsi. 

37. Boat A leaves shore P and Boat B leaves shore 

Q.(P and Q are opposite shores of a river.) A and B travel at constant speed.But the speeds are not same. Both boats meet at 600m from P for the first time. In their return journeys (ie after touching the shores), they meet  agian at 200m from
Q. Find distance between P and Q. 

Ans:1600m 

38. There are two glasses A and B. A contains orange juice and B contains apple juice in same quantity.Some amount orange juice from glass A is transfered to glass B. The juice in glass B is mixed well. Then again the same amount of juice from B is transferred to A. Compare the quantities of apple juice in A and orange juice in B. 

Ans:Equal. 

39. 100 Kg. Potatoes with 98% water content are dried in an oven. The percentage of water decreases to 50 %. What is the weight of potatoes now. 

Ans:4Kg. 

40. There are 4 parties A,B,C,D. Ram told that either A or B will win. Shyam told C will never win. Hari told either B or C or D will win. Only one of them was Correct. Which party won? 

Ans: C

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