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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)

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(#M40000877) TCS QUESTION Keep an EYE

a hare & a tortoise have a race along a circle of 100 yards diameter.the tortoise goes in 1 direction & hare in another.after the tortoise has covered 1/5th of its distance & that is too leisurely.the hare & tortoise meet when the hare has covered only 1/8 th of the distance.by what factor should the hare increase its speed so as it to tie the race?
5
8
37.80
40

please explain

Solution

let total distance to cover=x
nw first tortoise goes x/5
after dat when they meet together,
hare goes x/8
and so tortoise goes x-(x/5+x/8)=27x/40
so, ratio of tortoise and hare=27x/40 : x/8=27:5
nw to tie up the incresed fctor of spped of hare be v
then,

(x/8)/27=(x-x/8)/5v
or, 1/27=7/5v
or, v=(27*7)/5=37.80

option (c) is correct
this answer is given by BISWAJIT DAS (6 MONTH AGO) and is correct answer

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Asked In TCS bristi (14 years ago)

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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)

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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)

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(#M40000870) TCS QUESTION Keep an EYE

After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?
a)1/12 b)0 c)12/212 d)11/12

Asked In TCS bristi (14 years ago)

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(#M40000869) TCS QUESTION Keep an EYE

A sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40,
statement n says "At least and of the statements on this sheet are true." Which statements are true and which are false?

a)The even numbered statements are true and the odd numbered are false.
b)The first 26 statements are false and the rest are true.
c)The first 13 statements are true and the rest are false.
d)The odd numbered statements are true and the even numbered are false.

please xplain properly.......

Asked In TCS bristi (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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