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Frequently Asked TCS Placement Papers with Solution Page 912

(#M40000892) TCS QUESTION age Keep an EYE

A Roman was born the first day of the 35th year before Christ and died the first day of the 35th year after Christ. How many years did he live?

Solution

A Roman was born the first day of the 35th year before Christ means before the start of year 0, 35 years has been past and died the first day of the 35th year after Christ means 35th year is about to start at his death so only 34 years has been completed so total years = 69


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Asked In TCS sayantan tarafdar (14 years ago)

Solved suchandra raavi Read Solution (13)

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(#M40000889) 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.

a) 23.238 b) 8.78 c) 11.39 d) 236.16

Asked In TCS tk (14 years ago)

Solved Nirmal Bajpai Read Solution (4)

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(#M40000882) TCS QUESTION Keep an EYE

10 men and 10 women are there, they dance with each other, is there possibility that 2 men are dancing with same women and vice versa?
a) 22 b) 20 c) 10 d) none

Asked In TCS Tanaya (14 years ago)

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(#M40000878) TCS QUESTION Keep an EYE

A boy wants to make cuboids of dimension 5m, 6m and 7m from small cubes of .03 m3. Later he realized he can make same cuboids by making it hollow. Then it takes some cubes less. What is the number of the cubes to be removed?
a) 2000 b) 5000 c) 3000 d) 7000

please explain

Solution

volume of the small cube = 0.03 m^3
so side of this cube = cubic root of 0.03 m^3 = .312 m
so after removing the outermost layer the dimensions for the inner cuboid will be (5-2*0.312), (6-2*0.312), (7-2*0.312)
so total volume will be (4.376)*(5.376)*(6.376) = 150 m^3
so no of cubes will be 150/0.03 = 5000
so we can remove 5000 inner cubes


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Asked In TCS bristi (14 years ago)

Solved Read Solution (5)

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(#M40000876) TCS QUESTION Keep an EYE

anup managed to draw 7 circle of equal raddi with their centres on the diagonal of a square such that the two extreme circle touch two sides of the square and each middle circle touches two circle on other side.find the ratio of the radious of the circle to the side of the square.

(2+7root 2):1
1:(2+7root 2)
1:(2+6root 2)
1:(4+7root 3)

please explain

Solution

Draw an square, and make 7 circles in the diagonal in such a way that two corner circles could touch the two sides of the square.
Let the length of the side of the square and radius of the circle are respectively a and r. Then diagonal of the square = a(sqrt2)
since this diagonal contains 7 circles and a bit extra length in both the corners so relation will be
a(sqrt2) = r(sqrt2) + r + 2r*5 + r + r(sqrt2)
or a(sqrt2) = 2r(sqrt2) + 12r
or r/a = (sqrt2)/[2(sqrt2) + 12]
or r/a = 1/[2 + 6(sqrt2)]

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Asked In TCS bristi (14 years ago)

Solved Read Solution (3)

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(#M40000875) TCS QUESTION Keep an EYE

planet fourfi resides in 4 dimensional space & thus the currency used by its residents are 3 dimensional objects. The rupee are cubical in shape while their coins are spherical, however the coin minting machinery lays out some stipulations on the size of the coins. The diameter of the coins should be at least 64mm & not exceed 512 mm.
Given a coin,the diameter of the next larger coin is at least 50% greater then the diameter of the previous coin. All the diameters must always be an integer. You are asked to design a set of coins of different diameters with these requirements & your goal is to design as many as coin as possible.how many coins can you design?

a)9 b)5 c)6 d)8

please explain

Asked In TCS bristi (14 years ago)

Solved suchandra raavi Read Solution (4)

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(#M40000867) TCS 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 minimum value of n1(P) over all configurations P of 5 points in the plane in general position(.i.e no three points in P lie on a line) is

a)3 b)5 c) 2 d)1

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 purba das (14 years ago)

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(#M40000866) TCS QUESTION 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
a) 13 b) 18 c) 11 d) 12

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 bristi (14 years ago)

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(#M40000861) TCS QUESTION Keep an EYE

. A boy wants to make cuboids of dimension 5m, 6m and 7m from small cubes of .03 m3. Later he realized he can make same cuboids by making it hollow. Then it takes some cubes less. What is the number of the cubes to be removed?
a) 2000 b) 5000 c) 3000 d) 7000

Solution

volume of the small cube = 0.03 m^3
so side of this cube = cubic root of 0.03 m^3 = .312 m
so after removing the outermost layer the dimensions for the inner cuboid will be (5-2*0.312), (6-2*0.312), (7-2*0.312)
so total volume will be (4.376)*(5.376)*(6.376) = 150 m^3
so no of cubes will be 150/0.03 = 5000
so we can remove 5000 inner cubes


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Asked In TCS Akeefar (14 years ago)

Solved Read Solution (6)

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(#M40000858) TCS QUESTION Keep an EYE

The ticket for a journey is in the range of 1 to 63 paise.
You have 63 paise in your pocket and so on. And the question is you have to change the money into coins and all denominations are available. At final you have to buy the ticket and you should have at least one coin?(

Asked In TCS Bhavani (14 years ago)

Solved Raman Read Solution (7)

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