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(#M40001532) TCS QUESTION latest Keep an EYE

36 people {a1, a2, ..., a36} meet and shake hands in a circular
fashion. In other words, there are totally 36 handshakes involving the
pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of the
smallest set of people such that the rest have shaken hands with at
least one person in the set is.

Solution

Answer 12 is correct.
because if we take person a1 in the set then it will cover a36 and a2 for shaking hand.similarly if we take person a4 in the set then it will cover a5 and a3 for shaking hand and so on, so minimum 12 persons are required to make shake hand with rest of the people complete

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Asked In TCS Aashu (14 years ago)

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(#M40001531) TCS QUESTION latest Keep an EYE

- A circular dartboard of radius 1 foot is at a distance of 20 feet
from you. You throw a dart at it and it
hits the dartboard at some point Q in the circle. What is the
probability that Q is closer to the center of the circle than the
periphery?

Solution

Since according to requirement we have to locate Q closer to center in comparison to the circumference, for doing this we shall make a circle in that board whose radius will be half of the radius of dartboard.now we will compare the area of inner circle to the total area
Answer of DIPIN is correct
area of whole circle = pi*(1 foot)^2 = pi (this is according to formula area = pi*(radius)^2
similarly area of inner circle = pi*(1/2foot)^2 = pi/4
so ratio of areas of these two circles will be the probability and that is 1/4


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Asked In TCS Aashu (14 years ago)

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(#M40001528) TCS QUESTION latest question Keep an EYE

There are two boxes, one containing 10 red balls and the other
containing 10 green balls. You are allowed to move the balls between the
boxes so that when you choose a box at random and a ball at random from
the chosen box, the probability of getting a red ball is maximized. This
maximum probability is

Solution

14/19

To maximise probability of red ball,
Move 9 red balls in other box such that one box contains 1 red ball and other box contains 9 red and 10 green balls,

then

probability of getting red ball = 1/2 *1 + 1/2*9/19 = 1/2+9/38= 28/38=14/19
This is the answer given by DIPIN and is the correct answer

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Asked In TCS Aashu (14 years ago)

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(#M40001521) TCS QUESTION latest puzzle Keep an EYE

A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?
a)50 b)8 c)60 d)42

Solution

It is not given that how many of these items are gloves and how many are hats, if we consider that all the items are gloves then according to my opinion 32+25+2 = 59 gloves, she must take out to make sure she has a pair of each color. But closest option is 60 so it will be the answer

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Asked In TCS Aditi Sharma (14 years ago)

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(#M40001520) TCS QUESTION latest Keep an EYE

10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true?
A. All suspects are lying or the leftmost suspect is innocent.
B. All suspects are lying and the leftmost suspect is innocent .
A only
B only
Neither A nor B
Both A and B

Solution

if first is victim then all suspects are lying. here you should remember that the rightmost person is not questioned.
If any of the person leaving leftmost is victim then the leftmost suspect is innocent. but "and" should not be used between the conditions because leftmost is not innocent necessarily.
Hence A only will be the answer


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Asked In TCS Aditi Sharma (14 years ago)

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(#M40001518) TCS QUESTION latest 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 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.
23.24
11.39
8.78
236.16

Solution

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.
Number of steps in one minute = 144*1.64
Distance travelled in 1 minute = 144*1.64*1.64 mtrs
Distance travelled in one hr = 144*1.64*1.64*60/1000 km = 23.24 km approx
This answer is given by DIPIN and is the correct answer


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Asked In TCS Aditi Sharma (14 years ago)

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(#M40001516) TCS QUESTION latest question Keep an EYE

Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by a line; i.e. the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The maximum value of n1(P) over all configurations P of 9 points in the plane is
a.10
b.9
c.3
d.5

Solution

The meaning of this question is little complicated. In easy language the question should be:


There are some points in the plane. We have to make a separation between these points by forming a line in such a way that one point could be separate from the others. No 3 points are in a line. Maximum no of methods for plotting the line and minimum no of methods for plotting the line will be (arrangement of points is your choice)

Now Answer Is:

For Maximize: The number of methods, Points should be drawn in the circumference of the CIRCLE So answer would be the number of total point in the plane.

For minimize: The number of methods we should draw 3 points in a TRIANGLE and all other point inside this triangle in such a way that no 3 points could be in a line.

If it will be allowed to draw the points in a line then minimum possibilities will be 2 only, because if we take all points in a line then you can separate only the corner points from the others.

For example
If we have 10 points then maximum possibilities = 10
and minimum = 3

similarly for 5 points
Max = 5, Min = 3

for 19
max= 19 Min = 3


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Asked In TCS Aditi Sharma (14 years ago)

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(#M40001515) TCS QUESTION latest question 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 hour has 90 min while each minute has 60 sec. As on earth, the hour hand covers the dial twice every day. Find the approximate angle between the hands of a clock on Oz when the time is 9:40 am.
a.251
b.111
c.29
d.89

Asked In TCS Aditi Sharma (14 years ago)

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(#M40001510) TCS QUESTION latest question Keep an EYE

There are 6 beer bottle nd one is poisoned. we have mice who will die within 14 hrs after drinkin poisned beer. In 24 hrs we have to find poisoned beer bottle. How many no of mice we require to find out poisoned bottle.

options
a) 6
b) 4
c) 3
d) 1

Solution

If mouse would die exactly after 14 hrs then definitely 1 will be the answer but here the given condition says that mouse will die within 14 hrs.
so this question will be solved by set theory.
answer is following
total beer bottles = 6
drinking strategy
bottle1 : mouse1
bottle2 : mouse2
bottle3 : mouse3
bottle4 : mouse1 and mouse2
bottle5 : mouse2 and mouse3
bottle6 : mouse3 and mouse1
on the basis of death of mice set we can decide the poisoned bottle

in this question upto 2 bottle answer will be 1 because 2^1 = 2
similarly upto 4 bottles answer will be 2 because 2^2 = 4
for upto 8,16,32,64,128 bottles answer will be 3,4,5,6,7

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Asked In TCS Aditi Sharma (14 years ago)

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(#M40001507) TCS QUESTION latest puzzle Keep an EYE

The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also write code at the same rate.Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How long will it take 72 programmers to write 72 lines of code in total?

Solution

since 12 programmers take 12 minutes to write 12 lines of code in total, so 1 programmer will take 12 minutes to write 1 line of code so 72 programmers will take 12 minutes to write 72 lines of code in total
ans: 12 minutes

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Asked In TCS Aditi Sharma (14 years ago)

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