• Placement Questions

Placement Papers with Solutions

(#M40000452) TCS QUESTION probability Keep an EYE

A lady took out jacket and gloves, which are available in blue 26,yellow 30 and red 56. Power goes off, she can distinguish between gloves and jacket but not in colors. What is the possibility that she will pick up pair of gloves of each color?

Solution

(26c2 + 30c2 + 56c2)/112c2 = 235625/2589186 = 0.091
This answer is given by MUKESH RANJAN MALLICK and is correct answer

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Asked In TCS Karthik (14 years ago)

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(#M40000536) TCS QUESTION Keep an EYE

There is a bacteria which has the probability of die 1/3 of its total number or it may tripled. Find out the probability
A. P=1/3+(2/3*p^3) B. P=2/3+(2/3*p^3) C. P=2/3+(1/3*p^3) D P=2/3+(2/3*p^3)

Asked In TCS Karthik (15 years ago)

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(#M40000535) TCS QUESTION Keep an EYE

How many 13 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if repetition of digits is allowed?

Asked In TCS Karthik (15 years ago)

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(#M40000534) TCS 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 the repetition is not allowed?
a) 5^7
b) 5^6
c) 5^9
d) 5^8

Asked In TCS Karthik (15 years ago)

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(#M40000529) TCS QUESTION Keep an EYE

There is a die with 10 faces. It is not known that fair or not. 2 captains want to toss die for batting selection. What is the possible solution among the following?
a) If no. is odd it is head, if no. is even it is tail
b) If no. is odd it is tail, if no. is even it is head
c) Toss a die until all the 10 digits appear on top face. And if first no. in the sequence is odd then consider it as tail. If it is even consider it as head.

Asked In TCS (15 years ago)

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(#M40000455) TCS QUESTION Keep an EYE

Sangakara and Ponting selects batting by using a dice, but dice is biased. So to resolve, Ponting takes out a coin. What is the probability that coin shows correct option?
a) 1/2
b) 1/6
c) 1/12
d) 6/10

Asked In TCS (15 years ago)

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(#M40000447) TCS QUESTION Keep an EYE

Anoop managed to draw 7 circles of equal radii with their centres on the diagonal of a square such that the two extreme circles touch two sides of the square and each middle circle touches two circles on either side. Find the ratio of the radius of the circles to the side of the square

Solution

Let the radius of circle be r
let the side of square be a
then diagonal of square= a*sqrt(2)
This diagonal length = 12*r + 2r * sqrt(2)
(because the extreme circle's radius is perpendicular to side of square.)
Thus we get

12*r+2r*sqrt(2)=a*sqrt(2)

r(6*sqrt(2)+2)=a

r/a=1/(6*sqrt(2)+2)

Thus ratio: r:a = 1:(6*sqrt(2)+2)

Ans: 1:(6*sqrt(2)+2)
this answer is given by MUGIL VANNAN, and is right


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Asked In TCS raviteja (15 years ago)

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(#M40000446) TCS QUESTION Stacked Gold Coin 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 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
Alice has no winning strategy.
In order to win, Alice's first move should be a 1-move.
In order to win, Alice's first move can be a 0-move or a 1-move.
In order to win, Alice's first move should be a 0-move.

Asked In TCS Sathish (15 years ago)

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(#M40000437) TCS QUESTION Keep an EYE

The pacelength P is the distance between the rear of two consecutive footprints. For men, the formula, n/P = 144 gives an approximate relationship between n and P where, n = number of steps per minute and P = pacelength in meters. Bernard knows his pacelength is 164cm. The formula applies to Bernard's walking. Calculate Bernard's walking speed in kmph.

Asked In TCS kumar abhinandan (15 years ago)

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(#M40000436) TCS QUESTION Keep an EYE

The pacelength P is the distance between the rear of two consecutive footprints. For men, the formula, n/P = 144 gives an approximate relationship between n and P where, n = number of steps per minute and P = pacelength in meters. Bernard knows his pacelength is 164cm. The formula applies to Bernard's walking. Calculate Bernard's walking speed in kmph.

Asked In TCS kumar abhinandan (15 years ago)

Solved Manikanta Read Solution (2)

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(#M40000435) TCS QUESTION Keep an EYE

The pacelength P is the distance between the rear of two consecutive footprints. For men, the formula, n/P = 144 gives an approximate relationship between n and P where, n = number of steps per minute and P = pacelength in meters. Bernard knows his pacelength is 164cm. The formula applies to Bernard's walking. Calculate Bernard's walking speed in kmph.

Asked In TCS kumar abhinandan (15 years ago)

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(#M40000224) WIPRO QUESTION Keep an EYE

How will you measure height of building when you are at the top of the building? And if you have stone with you.

Asked In Wipro Naveen (15 years ago)

Solved Dr.Dipin Singh Read Solution (5)

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(#M40000223) WIPRO QUESTION Keep an EYE

How will you recognize the magnet & magnetic material & non-magnetic material?

Asked In Wipro Naveen (15 years ago)

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(#M40000211) MICROSOFT QUESTION Keep an EYE

There are 4 women who want to cross a bridge. They all begin on the same side. You have 17 minutes to get all of them across to the other side. It is night. There is one flashlight. A maximum of two people can cross at one time. Any party who crosses, either 1 or 2 people, must have the flashlight with them. The flashlight must be walked back and forth, it cannot be thrown, etc. Each woman walks at a different speed. A pair must walk together at the rate of the slower woman's pace.

Woman 1: 1 minute to cross
Woman 2: 2 minutes to cross
Woman 3: 5 minutes to cross
Woman 4: 10 minutes to cross

For example if Woman 1 and Woman 4 walk across first, 10 minutes have elapsed when they get to the other side of the bridge. If Woman 4 then returns with the flashlight, a total of 20 minutes have passed and you have failed the mission. What is the order required to get all women across in 17 minutes? Now, what's the other way?

Asked In Microsoft Naveen (15 years ago)

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(#M40000210) MICROSOFT QUESTION Keep an EYE

If you have two buckets, one with red paint and other with blue paint, and you take one cup from the blue bucket and pour it into the red bucket. Then you take one cup from the red bucket and pour it into the blue bucket. Which bucket has the higher ratio between red and blue? Prove it mathematically.

Solution

let volume of paint in bucket=10 liter
volume of cup = 1 liter
bucket A= red paint
Bucket B= Blue paint
after step 1=> Bucket A= 11 liter = 10 liter red + 1 liter blue
Bucket B= 9 liter blue

now 1 liter of bucket A= 1/11 liter blue and 10/11 red

after step 2=> Bucket A= 10 liter=100/11 red +10/11 blue
red/blue= 10/1

Bucket B= 10 liter
= 9 liter blue+1/11 blue +10/11 red
= 100/11 blue + 10/11 red .
red/blue = 1/10
so ratio of red/blue is (10/1) higher in first bucket of red paint than the ratio of red /blue (1/10) in second bucket
This answer is given by ANKIT and is correct answer

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Asked In Microsoft Naveen (15 years ago)

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(#M40000209) MICROSOFT QUESTION Keep an EYE

You have a bucket of jelly beans. Some are red, some are blue, and some green. With your eyes closed, pick out 2 of a like color. How many do you have to grab to be sure you have 2 of the same?

Asked In Microsoft Naveen (15 years ago)

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(#M40000208) MICROSOFT QUESTION Keep an EYE

If you had an infinite supply of water and a 5 quart and 3 quart pail, how would you measure exactly 4 quarts?

Asked In Microsoft Naveen (15 years ago)

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(#M40000207) OTHERS QUESTION Keep an EYE

A Train crosses A man standing on a platform which is 240 mtrs long in 13 secs & the platform itself in 25 secs. What was the speed of the train?

Asked In Others Naveen (15 years ago)

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(#M40000206) OTHERS QUESTION Keep an EYE

Complete the series 100,41.25,100, ?,100,73.75.

Asked In Others Naveen (15 years ago)

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(#M40000176) GENERAL QUESTION Keep an EYE

There are 3 ants at 3 corners of a triangle, they randomly start moving towards another corner.
What is the probability that they don't collide?

Asked In general Naveen (15 years ago)

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(#M40000175) GENERAL QUESTION Keep an EYE

Two identical pack of cards A and B are shuffled throughly. One card is picked from A and shuffled with B. The top card from pack A is turned up. If this is the Queen of Hearts, what are the chances that the top card in B will be the King of Hearts?

Asked In general Naveen (15 years ago)

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(#M40000174) GENERAL QUESTION Keep an EYE

Find the smallest number such that if its rightmost digit is placed at its left end, the new number so formed is precisely 50% larger than the original number.

Asked In general Naveen (15 years ago)

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(#M40000173) GENERAL QUESTION Keep an EYE

Consider a number 235, where last digit is the sum of first two digits i.e. 2 + 3 = 5.
How many such 3-digit numbers are there?

Asked In general Naveen (15 years ago)

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(#M40000172) GENERAL QUESTION Keep an EYE

There is a safe with a 5 digit number as the key. The 4th digit is 4 greater than the second digit, while the 3rd digit is 3 less than the 2nd digit. The 1st digit is thrice the last digit. There are 3 pairs whose sum is 11.

Find the number.

Asked In general Naveen (15 years ago)

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(#M40000171) GENERAL QUESTION Keep an EYE

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?

Solution

I think this approach is very long to solve this problem i try to reduce some step
g= grass initially, r= rate at which grass grow/day, c= cow eat grass/day
g+24r=70*24c=1680c-----------1
g+60r=60*30c=1800c--------->g=1800c-60r----------------2
by solving this 2 equation we have relation c=(3/10)r-------------3
g+96r=96nc
=>96nc=1800c-60r+96r=1800c+36r=1800c+120c=1920c
=>n=20
This answer is given by ANKIT and is correct answer

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Asked In general Naveen (15 years ago)

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(#M40000170) GENERAL QUESTION Keep an EYE

A person with some money spends 1/3 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 beginning?

Asked In general Naveen (15 years ago)

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(#M40000169) GENERAL QUESTION Keep an EYE

How many ways are there of arranging the sixteen black or white pieces of a standard international chess set on the first two rows of the board?

Given that each pawn is identical and each rook, knight and bishop is identical to its pair.

Asked In general Naveen (15 years ago)

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(#M40000445) TCS QUESTION Triangle!!! Keep an EYE

Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is
a) 1
b) 3
c) 4
d) 0

Solution

Answer will be (c)
There will be four points satisfying the given condition
one point will be incentre of the circle and other three will be excentres


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Asked In TCS Dhivya (15 years ago)

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(#M40000444) TCS QUESTION Calculate the age Keep an EYE

Peter and paul are 2 friends.Sum of their ages is 35 years.Peter is twice as old as paul was when peter was as old as paul is now.What is the present age of peter?

Asked In TCS madhuri (15 years ago)

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(#M40000443) TCS QUESTION Calculate the age Keep an EYE

Peter and paul are 2 friends.Sum of their ages is 35 years.Peter is twice as old as paul was when peter was as old as paul is now.What is the present age of peter?

Asked In TCS madhuri (15 years ago)

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