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Placement Papers with Solutions

(#M40002601) SELF QUESTION Keep an EYE

Alice and Bob play the following coins-on-a-stack game. 20 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 tothe 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 belowthe top coin (0 = i = 20). We will call this an i-move (thus a 0-move implies doing nothing). The provisois that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turnsneither player can make a 2-move. If the gold coin happens to be on top when it's a player's turn thenthe player wins the game. Initially, the gold coinis the third coin from the top. Then find the valid game between alice and bob.
a) In order to win, Alice's first move should be a 1-move.
b) In order to win, Alice's first move should be a 0-move.
c) In order to win, Alice's first move can be a 0-move or a 1-move.
d) Alice has no winning strategy.

Solution

(b)In order to win, Alice's first move should be a 1-move....
reason:there are two possibility after 1- move by Alice:-
1. when bob takes 0-move....then the coin config is same ..... but now alice can neither take 1-move nor 0-move.... so she has to take 2 or greater move(let it be 2 move)............
now we have only one coin above the gold coin......now bob can neither take 1-move nor 0-move nor 2-move.... so she has to take 3 or greater move.......
but the move greater then 2-move brings gold coin on top....makes alice win...

2.now bob takes 2-move after alice's first move....... now thre is only one coin above the gold coin..... so Alice takes 0-move........now we have only one coin above the gold coin......now bob can neither take 1-move nor 0-move nor 2-move.... so she has to take 3 or greater move.......
but the move greater then 2-move brings gold coin on top....makes alice win...

This answer is given by ROHIT KUMAR and is the correct answer

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aniruddha mandal (14 years ago)

Solved Read Solution (3)

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(#M40002600) SELF QUESTION Keep an EYE

.A volume of 10936 l water is in a container of sphere. How many hemisphere of volume 4l each will be required to transfer all the water into the small hemispheres?
a)2812 b)8231 c)2734 d)4222

aniruddha mandal (14 years ago)

Solved v l Read Solution (4)

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(#M40002599) SELF QUESTION Keep an EYE

A number when divided by D leaves a remainder of 8 and when divided by 3D leaves a remainder of 21 . What is the remainder left, when twice the number is divided by 3D?
a) 13 b) cannot be determined c) 3 d) 42

aniruddha mandal (14 years ago)

Solved GAURAV TYAGI Read Solution (6)

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(#M40002574) SELF QUESTION Keep an EYE

How many 9 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if therepetition is allowed?
a)5^7 b)5^6 c)5^9 d)5^8

Solution

_ _ _ _ _ _ _ _ _ (9 digit number)
Digits that can be used = 1, 2, 3, 4 and 5
For a number to divisible by 4, the last two digits have to be divisible by 4
So, the units digit cannot be 1, 3 or 5
If the units digit is 2, only 12, 32 adn 52 are acceptable as the last two digits
If the units digit is 4, only 24 and 44 are acceptable as the last two digits.
So, total 5 cases 12,24,32,44,52 are possible for the last two digits.
Now, the first 7 digits of the 9 digit number can be filled in 5^7 ways as each place can be filled by 1, 2, 3, 4 or 5.
So, desired answer = 5^7*5 = 5^8
This answer is given by Amitesh kumar and is right

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aniruddha mandal (14 years ago)

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(#M40002244) SELF QUESTION Keep an EYE

Earl can stuff advertising circulars into envelopes at the rate of 36 envelopes per minutes and Ellen requires a minutes and half to stuff the same number of envelops.Working together,how long will it take Earl and Ellen to stuff 360 envelopes
a)6 minutes
b)5 minutes
c)7 minutes
d)3 minutes

aniruddha mandal (14 years ago)

Solved krishna Read Solution (1)

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(#M40002160) SELF QUESTION Keep an EYE

If the Valentine's Day in 2005 falls on Monday, then on which day will the Valentine's Day fall on 2010?

aniruddha mandal (14 years ago)

Solved Tapesh Syawariya Read Solution (4)

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(#M40002150) SELF QUESTION Keep an EYE

Paul the octopus who has been forecasting the outcome of FIFA world cup matches with tremendous accuracy has now been invited to predict ICC world cup matches in 2011. We will assume that the world cup contenders have been divided into 2 groups of 9 teams each. Each team in a group plays the other teams in the group. The top two teams from each group enter the semi finals (after which the winner is decided by knockout). However, Paul has a soft spot for India and when India plays any team, Paul always backs India. Alas, his predictions on matches involving India are right only 2 out of 3 times. In order to qualify for the semi finals, it is sufficient for India to win 7 of its group matches. What is the probability that India will win the ICC world cup?

aniruddha mandal (14 years ago)

Solved neeraj goyal Read Solution (1)

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