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(#M40000927) 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.
1) [2+ 7sqrt(2)]:1
2) 1:[2+ 6sqrt(2)]
3) 1:[2+ 7sqrt(2)]
4) 1:(4+ 7sqrt(3)]

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 purba das (14 years ago)

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(#M40000913) TCS QUESTION Keep an EYE

X is 6 years younger to Y.After 5 years the ratio of ages of X and Y is 1:2. Now X's
father is 20 years older to Y and Y' father is 30 years more than X. What is the age of X and Y together?
(a) 12 (b) 8 (c) 18 (d) 6

Asked In TCS Akeefar (14 years ago)

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(#M40000794) INFOSYS QUESTION Keep an EYE

Distance between two stations is 5 miles. Every one hour, A train starts from station-A to station-B.
At same time another train starts from station-B. Speed is same for both the trains.The same process continues.(i.e, every one hour a train starts at both ends) How many trains a train can met when it reaches it destination?

Asked In Infosys Yashar (14 years ago)

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(#M40000791) INFOSYS QUESTION Keep an EYE

there are three types of birds A,B & C . A costs 5pounds, B costs 3 Pounds and C costs 1/3 of a pound.
find the no. of A,B &C such that u will get 100 birds for 100 pounds

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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(#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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(#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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