Wednesday, 28 September 2011

Infosys Placement Paper, Rajastan 2010

1. A lady was out for shopping. she spent half of her money in buying A and gave 1 dollar to bagger. further she spent half of her remaining money and gave 2 dollar to charity. further she spent half of remaining money n gave 3 dollar to some children. now she has left with 1 dollar. how much she had in the beginning?
Ans $42
2. There are certain diamonds in a shop. 1 thief stole half of diamonds and 2 more. 2nd thief stole half of remaining and 2 more. 3rd same as above, 4th same as above. 5th came nothing was left for that. how many diamonds were there???


Ans 60 diamonds
3. There are three friends A B C.
1. Either A or B is oldest

2. Either C is oldest or A is youngest.

Who is Youngest and who is Oldest?
Ans A is youngest n B is oldest.


4. Father says my son is five times older than my daughter. my wife is 5 times older that my son. I am twice old from my wife and altogether (sum of our ages) is equal to my mother ‘s age and she is celebrating her 81 birthday. so what is my son’s age?

Ans – 5 years.



5. In Mulund, the shoe store is closed every Monday, the boutique is closed every Tuesday, the grocery store is closed every Thursday and the bank is open only on Monday, Wednesday and Friday. Everything is closed on Sunday.

One day A, B, C and D went shopping together, each with a different place to go. They made the following statements:

A D and I wanted to go earlier in the week but there wasn’t day when we could both take care of our errands.

B I did not want to come today but tomorrow I will not be able to do what I want to do.

C I could have gone yesterday or the day before just as well as today.

D Either yesterday or tomorrow would have suited me.

Which place did each person visit ?
Ans: A-BOUTIQUE

B-BANK

C-GROCERY

D-SHOE

6. Fodder, pepsi and cereale often eat dinner out. Each orders either coffee or tea after dinner. if fodder orders coffee, then pepsi orders the drink that cereal orders if pepsi orders coffee, then fodder orders the drink that cereale does not oder if cereale orders tea, then fodder orders the drink that pepsi orders which person/persons always orders the same drink after dinner?
Ans:Fodder




7. We are given 100 pieces of a puzzle. If fixing two components together is counted as 1 move ( a component can be one piece or an already fixed set of pieces), how many moves do we need to fix the entire puzzle.


Ans: 99
8. Jim, Bud and sam were rounded up by the police yesterday. because one of them was suspected of having robbed the local bank. The three suspects made the following statements under intensive questioning.
Jim: I’m innocent

Bud: I’m innocent


Sam: Bud is the guilty one.

If only one of the statements turned out to be true, who robbed the bank?
Ans:BUD.

9. There are two containers on a table. A and B . A is half full of wine, while B, which is twice A’s size, is one quarter full of wine . Both containers are filled with water and the contents are poured into a third container C. What portion of container C’s mixture is wine ?


Ans:33.33%
10. A man was on his way to a marriage in a car with a constant speed. After 2 hours one of the tier is punctured and it took 10 minutes to replace it. After that they traveled with a speed of 30 miles/hr and reached the marriage 30 minutes late to the scheduled time. The driver told that they would be late by 15 minutes only if the 10 minutes was not waste.

Find the distance between the two towns?
Ans: 120 miles
11. A bargain hunter bought some plates for $ 1.30 from a sale on saturday, where price 2 cents was marked off at each article. On monday she went to return them at regular prices, and bought some cups and saucers from that much amount of money only. the normal price of plate were equal to the price of ‘one cup and one saucer’.
In total she bought 16 items more than previous. saucers were only of 3 cents hence she brought 10 saucers more than the cups, How many cups and saucers she bought and at what price?
Ans: 8, 18 Price: 12,3.




12. Mr. T has a wrong weighing pan. One arm is lengthier than other.1 kilogram on left balances 8 melons on right.1 kilogram on right balances 2 melons on left. If all melons are equal in weight, what is the weight of a single melon?


Ans:200 gms

13) A man collects cigarette stubs and makes one full cigarette with every 8 stubs. If he gets 64 stubs how many full cigarettes can he smoke.

Ans: 8+1=9




14) Conversation between two mathematicians:

First : I have three children. The product of their ages is 36. If you sum their ages, it is exactly same as my neighbour’s door number on my left. The second mathematician verifies the door number and says that it is not sufficient. Then the first says ” Ok one more clue is that my youngest is really the youngest”. Immediately the second mathematician answers . Can you answer the question asked by the first mathematician? What are the children ages?
Ans 1,6 and 6


15) Light glows for every 13 seconds . How many times did it glow between 1:57:58 and 3:20:47 am.
Ans : 383 + 1 = 384




16) 500 men are arranged in an array of 10 rows and 50 columns according to their heights. Tallest among each row of all are asked to fall out. And the shortest among them is A. Similarly after resuming that to their original positions that the shortest among each column are asked to fall out. And the tallest among them is B . Now who is taller among A and B ?
Ans A




17)
A person with some money spends1/3 for cloths, 1/5 of the remaining for food and 1/4 of the remaining for travel. He is left with Rs 100/- . How much did he have with him in the begining?
Ans: Rs 250/-

18) There are six boxes containing 5 , 7 , 14 , 16 , 18 , 29 balls of either red or blue in colour. Some boxes contain only red balls and others contain only blue.One sales man sold one box out of them and then he says ” I have the same number of red balls left out as that of blue “. Which box is the one he solds out ?
Ans: Total no of balls = 89 and (89-29 /2) = 60/2 = 30

and also 14 + 16 = 5 + 7 + 18 = 30

19) A chain is broken into three pieces of equal lenths containing 3 links each. It is taken to a backsmith to join into a single continuous one . How many links are to to be opened to make it?

Ans : 2.

20) Grass in lawn grows equally thick and in a uniform rate. It takes 24 days for 70 cows and 60 days for 30 cows to eat the whole of the grass. How many cows are needed to eat the grass in 96 days.?
Ans : 20

g – grass at the beginning

r – rate at which grass grows, per day

y – rate at which one cow eats grass, per day


n – no of cows to eat the grass in 96 days

g + 24*r = 70 * 24 * y

g + 60*r = 30 * 60 * y

g + 96*r = n * 96 * y

Solving, n = 20.

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