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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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(#M40000918) TCS QUESTION Keep an EYE

. If on an item a company gives 25% discount, they earn 25% profit. If they now give 10% discount then what is the profit percentage.


(a) 40% (b) 55% (c) 35% (d) 30%

Asked In TCS RAVI (14 years ago)

Solved Chandan Kumar Read Solution (11)

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(#M40000917) TCS QUESTION Keep an EYE

A man is standing in front of a painting of a man, and he tells us the following: Brothers and sisters have I none, but this man's father is my father's son. Who is on the painting?

His father His grandfather His son He himself

Asked In TCS RAVI (14 years ago)

Solved Neha Jain Read Solution (12)

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(#M40000916) TCS QUESTION Keep an EYE

A triangle is made from a rope. The sides of the triangle are 25 cm, 11 cm and 31 cm. What will be the area of the square made from the same rope?

Asked In TCS Akeefar (14 years ago)

Unsolved Read Solution (15)

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(#M40000915) TCS QUESTION Keep an EYE

With four fifths of then tank full, a vehicle travels 12 miles. How much distance will the vehicle travel with one third
tank full?
(a) 8.05 km (b) 6.05 km (c) 12km (d) 5 km

Asked In TCS Akeefar (14 years ago)

Solved AMITABH BARMAN Read Solution (15)

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(#M40000914) TCS QUESTION Keep an EYE

A person was fined for exceeding the speed limit by 10mph. Another person was also fined for exceeding the
same speed limit by twice the same. If the second person was traveling at a speed of 35 mph, find the speed limit.
(a) 35mph (b) 15 mph (c) 20 mph (d) 30 mph

Asked In TCS Akeefar (14 years ago)

Solved suchandra raavi Read Solution (3)

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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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(#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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