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Placement Papers with Solutions

(#M40000784) INFOSYS QUESTION Keep an EYE

Man A lies on monday,tuesday and wednesday.Man B lies on thursday,friday
and saturday.On one particular day A said "Yesterday i lied".then B said
"Yesterday i lied too".On which day were these statements made?

Asked In Infosys Yashar (14 years ago)

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(#M40000787) INFOSYS QUESTION Keep an EYE

a man brought some watermelons to town and sold them. he sold 1/2 more than 1/2 of what he brought and
he was left with one melon. how many melons did he bring to town?

Solution

question is
He sold 1/2 more than 1/2 of what he brought
thus he sold (1/2)+(x/2) and he was left with 1 water melon
so equation will be (1/2)+(x/2)+1 = x
or x/2 = 3/2 so x = 3


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Asked In Infosys Yashar (14 years ago)

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(#M40000786) INFOSYS QUESTION Keep an EYE

A spider spins a web such that each day he spins exactly the same amount
as it had spun until the previous day and finishes the web in 30 days.If two
spiders work in the same manner how many days will they take?

Asked In Infosys Yashar (14 years ago)

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(#M40000912) TCS QUESTION Keep an EYE

Alok and Bhanu play the following min-max game. Given the expression
N = 9 + X + Y - Z Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu substitutes the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be
a) 0 b) 27 c) 18 d) 20

Solution

First Read the question carefully, According to the given question all the numbers will be decided by alok and first 2 would be put by bhanu whereas alok will put the 3rd one.
So for getting maximum alok will tell 7 as the first Number
two cases arise
1) if bhanu will put this number as Z then 9, 9 will be the next 2 number. and 9+x+y-z = 20
2) if bhanu will put this number X, then alok will tell 4 or 5 as next number.
if bhanu will put 4 or 5 as Z then alok will put 9 as Y. So N will be
9+x+y-z= 9+7+9-4 = 21 OR 9+7+9-5 = 20

If bhanu will put 4 or 5 as Y then alok will put 0 as Z
9+x+y-z = 9+7+4-0 = 20 OR 9+7+5-0 = 21

So if both are playing with there best effort then 9+x+y-z will be 20

20 is the correct answer


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Asked In TCS Mahesh (14 years ago)

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(#M40000911) TCS QUESTION question Keep an EYE

A lady has fine gloves and hats in her closet 18 blue 32 red 25 green.the lights are out and it is dark but she can make out difference between hat and glove.she takes out an item if she is sured that it is a gloves.how mwny gloves she take out to make sure that she has a pair of each color.

Asked In TCS Souvika (14 years ago)

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(#M40000910) TCS QUESTION tcs recent paper Keep an EYE

For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning. Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?
a) 5/9
b) 1/9
c) 2/3
d) 1/3

Asked In TCS Rupkatha Nag (14 years ago)

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(#M40000909) TCS QUESTION Tcs recent paper Keep an EYE

Alice and Bob play the following coins-on-a-stack game. 50 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack.Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin (0 ≤ i ≤ 20). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move. If the gold coin happens to be on top when it's a player's turn then the player wins the game. Initially, the gold coinis the third coin from the top. Then
a) In order to win, Alice’s first move should be a 0-move.
b) In order to win, Alice’s first move should be a 1-move.
c) Alice has no winning strategy.
d) In order to win, Alice’s first move can be a 0-move or a 1-move

please explain it me,its urgent..

Asked In TCS Rupkatha Nag (14 years ago)

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(#M40000908) TCS QUESTION Cube Keep an EYE

A hollow cube of size 5cm is taken, with a thickness of 1cm. It is made of smaller cubes of size 1cm. If 4 faces of the outer surface of the cube are painted, totally how many faces of the smaller cubes remains unpainted?

Asked In TCS Abhishek kumar (14 years ago)

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(#M40000907) TCS QUESTION game Keep an EYE

Both A and B Alice and Bob play the following chip-off-the-table game. Given a pile of 58 chips, Alice first picks at least one chip but not all the chips. In subsequent turns, a player picks at least one chip but no more than the number picked on the previous turn by the opponent. The player to pick the last chip wins. Which of the following is true?

Solution

options are not given,
it is very difficult to give the solution, because lot of cases are possible.
some examples
1) if Alice takes 1 chip then for Bob it will be a compulsion to take 1 only, in this manner, Bob will take the last chip
2) if Alice takes 2 chips and Bob takes 1 then Alice will win the game
3) if Alice takes 2 then Bob 2, then 2-2-2 continuously, then Alice will be the winner, similarly a number of cases are possible

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Asked In TCS ANAMIKA HARIDAS P (14 years ago)

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(#M40000906) TCS QUESTION PROBABILITY Keep an EYE

A lady had fine gloves and hats. 25 blue, 7 red and 9 gey. She had to select a pair among them. But there was no light so she had to select in darkness the correct pair with a glove and a hat. Therefore how many combinations of same color she can select?


EXPLAIN .....

Asked In TCS sayantan tarafdar (14 years ago)

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(#M40000902) TCS QUESTION dice pblm Keep an EYE

Q1. Six friends decide to share a big cake. Since all of them like the cake, they begin quarreling who gets to first cut and have a piece of the cake. One friend suggests that they have a blindfold friend choose from well shuffled set of cards numbered one to six. You check and find that this method works as it should simulating a fair throw of a die. You check by performing multiple simultaneous trials of picking the cards blindfold and throwing a die. You note that the number shown by the method of picking up a card and throwing a real world die, sums to a number between 2 and 12. Which total would be likely to appear more often – 8,9 or 10?
a) 8 b) All are equally likely c) 9 d) 10

Asked In TCS Raghuram (14 years ago)

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(#M40000904) TCS QUESTION TCS recent questions Keep an EYE

On the Planet Oz, there are 8 days in a week, Sunday to Saturday and another day called Oz day. There are 36 hours in a day and each hours has 90 min while each minute has 60 sec. As on earth, hour hand covers the dial twice every day. Find the approximate angle between the hands of clock on Oz when time is 15.40 am.

Asked In TCS Rupkatha Nag (14 years ago)

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(#M40000901) TCS QUESTION Keep an EYE

There was a grandmother in a village who had a grandchild. Upon asking her grandchild's age she told dat she is as older as many days old as her daughter's age in weeks and as many days as her own age in years. The sum of the three is 130. then how old is the child?
a)7
b)8
c)6.5
d)7.5

Asked In TCS Paramanantham (14 years ago)

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(#M40000899) TCS QUESTION Keep an EYE

Six friends decide to share a big cake. Since all of them like the cake, they begin quarreling who gets to first cut and have a piece of the cake. One friend suggests that they have a blindfold friend choose from well shuffled set of cards numbered one to six. You check and find that this method works as it should simulating a fair throw of a die. You check by performing multiple simultaneous trials of picking the cards blindfold and throwing a die. You note that the number shown by the method of picking up a card and throwing a real world die, sums to a number between 2 and 12. Which total would be likely to appear more often 8,9 or 10?
a) 8 b) All are equally likely c) 9 d) 10

Asked In TCS Paramanantham (14 years ago)

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(#M40000898) TCS QUESTION TCS Keep an EYE

Consider two tumblers, the first containing one litre of milk ad the second containing one litre of coffee.
Suppose you take one glass of milt out of the first tumbler and pour it into the second tumbler. After mixing
you take one glass of the mixture from the second tumbler and pour It back into the first tumbler. Which
one of the following statements holds now?
• None of the statements holds true.
• There is less coffee in the first tumbler than milk in the second tumbler.
• There is as much coffee in the first tumbler as there is milk in the second tumbler.
• There is more coffee in the first tumbler than milk in the second tumbler.

Asked In TCS Preeti Dhiman (14 years ago)

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(#M40000897) TCS QUESTION TCS recent papers Keep an EYE

Alok and Bhanu play the following min-max game,given the expression
N=12+X*(Y-Z)
where X,Y,Z are variables representing single digits(0 to 9).Alok would like to maximise N while Bhanu would like to minimise it.Towards this end Alok chooses a single digit number and Bhanu substitutes it for a variable of her choice(X,Y,Z).Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be??
Please please give the answer with proper explanation.its very urgent.

Asked In TCS Rupkatha Nag (14 years ago)

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(#M40000896) TCS QUESTION colz and ink Keep an EYE

Alchemy is an occult tradition that arose in the ancient Persian empire. Zosimos of Panopolis was an early alchemist. Zara, reads about Zosimos and decides to try some experiments. One day, she collects two buckets, the first containing one litre of ink and the second containing one litre of cola. Suppose she takes one cup of ink out of the first bucket and pours it into the second bucket. After mixing she takes one cup of the mixture from the second bucket and pours it back into the first bucket. Which one of the following statements holds now?

a.There is more cola in the first bucket than ink in the second bucket.
b.There is as much cola in the first bucket as there is ink in the second bucket.
c.There is less cola in the first bucket than ink in the second bucket.

Solution

let the size of cup = x litre
then after first step
ink in first bucket = 1-x and ink in second = x in total 1+x amount of mixture
now we have to pour 1 cup means x litre of solution from second bucket to first
in this much of solution ink will be [x/(1+x)]*x] = x^2/(1+x)
so total ink in the first bucket = 1-x+[x^2/(1+x)]
so cola in first bucket = 1-[1-x+{x^2/(1+x)}] = x-[x^2/(1+x)]
similarly total ink in second bucket = x - amount of ink poured in first
= x - [x^2/(1+x)]
so cola in the first bucket = ink in the second bucket

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Asked In TCS Nirmal Bajpai (14 years ago)

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(#M40000894) TCS QUESTION Keep an EYE

Alok and Bhanu play the following min-max game. Given the expression N=40+X+Y-Z, where X, Y and Z
are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to
minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable
of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value.
Finally Alok proposes the value for the remaining variable: Assuming both play to their optimal strategies,
the value ofN at the end of the game would be
• 49
• 51
• 31
• 5&

Asked In TCS Preeti Dhiman (14 years ago)

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(#M40000892) TCS QUESTION age Keep an EYE

A Roman was born the first day of the 35th year before Christ and died the first day of the 35th year after Christ. How many years did he live?

Solution

A Roman was born the first day of the 35th year before Christ means before the start of year 0, 35 years has been past and died the first day of the 35th year after Christ means 35th year is about to start at his death so only 34 years has been completed so total years = 69


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Asked In TCS sayantan tarafdar (14 years ago)

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(#M40000805) INFOSYS QUESTION Keep an EYE

albert and fernandes they have two leg swimming race.both start from opposite and of the pool. On the first leg, the boys pass each other at 18 mt from the deep end of the pool. during the II leg they pass at 10 mt from the shallow end of the pool. Both go at const speed. but one of them is faster. each boy rests for 4 sec to see at the end of the i leg. what is the length of the pool.

Asked In Infosys Yashar (14 years ago)

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(#M40000804) INFOSYS QUESTION Keep an EYE

some people went for vaction. unfortunately it rained for 13

days when they were there. but whenever it rained in the

morning, they had clean afternood and vice versa. In all they

enjoyed 11 morning and 12 afternoons. how many days did they

stay there totally

Asked In Infosys Yashar (14 years ago)

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(#M40000803) INFOSYS QUESTION Keep an EYE

in a railway station, there are tow trains going. One in the harbour line and one in the main line, each having a frequency of 10 minutes. the main line service starts at 5 o'clock. the harbour line starts at 5.02a.m. a man goes to the station every day to catch the first train. what is the probability of man catchinhg the first train

Solution

In every interval of 10 minutes, 8 minutes are there for train 1 and 2 minutes for train 2 so probability to catch the train 1 is 8/10. answer by SUCHANDRA RAAVI is good

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Asked In Infosys Yashar (14 years ago)

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(#M40000802) INFOSYS QUESTION Keep an EYE

ram singh goes to his office in the city, every day from his

suburbun house. his driver mangaram drops him at the railway

station in the morning and picks him up in the evening. Every

evening ram singh reaches the station at 5 o'clock. mangaram

also reaches at the same time. one day ramsingh started early

from his office and came to the station at 4 o'clock. not

wanting to wait for the car he starts walking home. Mangaram

starts at normal time, picks him up on the way and takes him back

house, half an hour early. how much time did ram singh walk.

Asked In Infosys Yashar (14 years ago)

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(#M40000801) INFOSYS QUESTION Keep an EYE

sam and mala have a conversation. sam says i am vertainly not

over 40. mala says i am 38 and you are atleast 5 years older

than me. Now sam says you are atleast 39. all the sattements by

the two are false. How old are they realy.

Asked In Infosys Yashar (14 years ago)

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(#M40000800) INFOSYS QUESTION Keep an EYE

there is a 4 inch cube painted on all sides. this is cut

into no of 1 inch cubes. what is the no of cubes which have no

pointed sides.

Asked In Infosys Yashar (14 years ago)

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(#M40000799) INFOSYS QUESTION Keep an EYE

an orange galss has orange juice. and white glass has apple

juice. Bothe equal volume 50ml of the orange juice is taken and

poured into the apple juice. 50ml from the white glass is poured

into the orange glass. Of the two quantities, the amount of

apple juice in the orange glass and the amount of orange juice in

the white glass, which one is greater and by how much?

Asked In Infosys Yashar (14 years ago)

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(#M40000798) INFOSYS QUESTION Keep an EYE

From a vessel on the first day, 1/3rd of the liquid

evaporates. On the second day 3/4th of the remaining liquid

evaporates. what fraction of the volume is present at the end of

the II day.

Asked In Infosys Yashar (14 years ago)

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(#M40000795) INFOSYS QUESTION Keep an EYE

6 shoes of 3 different brands and 24 socks of two colors black and brown in a box. How many shoes needs to be taken to get a same brand and how many socks needs to be taken for getting a pair of dark color socks?

Asked In Infosys Yashar (14 years ago)

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(#M40000797) INFOSYS QUESTION Keep an EYE

A cycle goes at a speed of 4mph by far the wind and it goes at a speed of 3mph against the wind.
What is the speed of the cycle when there is no wind?

Asked In Infosys Yashar (14 years ago)

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(#M40000796) INFOSYS QUESTION Keep an EYE

A man reaches a place at 6'O clock picked by another person to a quarry. one day he comes early and walks towards the quarry, picked up by the other man on the way and reaches the quarry 20 minutes earlier. when was he picked up?

Asked In Infosys Yashar (14 years ago)

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