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(#M40003289) TCS QUESTION maths Keep an EYE Keep an eye puzzle Keep an eye puzzle

There is a planet oz . The people there are four fingered and
reside in 4 – dimensional space and thus the currency used by its
residents are 3 – dimensional objects. The rupees notes are cubical
in shape while their coins are spherical. However the coin minting
machinery lays out some stipulations on the size of the coins.

Asked In TCS Deependra Chauhan (14 years ago)
Unsolved
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(#M40003242) TCS QUESTION maths Keep an EYE Keep an eye puzzle Keep an eye puzzle

Given 3 lines of segment in a plane such that the points of intersection
form a triangle with sides of length 20,20 and 30, the number of points equidistant from all the 3 lines is

Solution
There will be 4 points
1 incentre
3 excentre

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Asked In TCS Deependra Chauhan (14 years ago)
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(#M40003239) TCS QUESTION maths Keep an EYE Keep an eye puzzle Keep an eye puzzle

A garrison of 3300 men has provisions for 32 days when supplied at the rate of 850 g per head. At the end of 7 days, a reinforcement arrives, and it is found that the provisions can last for 17 days more when supplied at the rate of 825 g per head. What is the strength of the reinforcement?

Asked In TCS Deependra Chauhan (14 years ago)
Solved CHANDAN KR SINGH Read Solution (1)
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(#M40003213) TCS QUESTION maths Keep an EYE Keep an eye puzzle Keep an eye puzzle

A father and his son go out for a 'walk-and-run' every morning around a track formed by an equilateral triangle. The father's walking speed is 2 mph and his running speed is 5 mph. The son's walking and running speeds are twice that of his father. Both start together from one apex of the triangle, the son going clockwise and the father anti-clockwise. Initially the father runs and the son walks for a certain period of time. Thereafter, as soon as the father starts walking, the son starts running. Both complete the course in 45 minutes. For how long does the father run? Where do the two cross each other?

Solution
Let father runs t hours and walks (0.75-t) hours, then according to the given condition
5t+2(0.75-t)=x (for father)
10(0.75-t)+4t=x (for son)
on comparing these two we will get t=2/3 hrs=40 min
on taking t=2/3 hrs, x=3.5 miles
so father will run for 2/3 hrs = 40 min

now let the two will cross each other after time x then according to the given condition 5x+4x=3.5 so x = 7/18 hrs = 70/3 min in this much time father will run
5*7/18 = 35/18 miles and son will walk (7/2)-(35/18) = 28/18 = 14/9 miles

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Asked In TCS Deependra Chauhan (14 years ago)
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(#M40003206) TCS QUESTION maths Keep an EYE Keep an eye puzzle Keep an eye puzzle

A father and his son go out for a 'walk-and-run' every morning around a track formed by an equilateral triangle. The father's walking speed is 2 mph and his running speed is 5 mph. The son's walking and running speeds are twice that of his father. Both start together from one apex of the triangle, the son going clockwise and the father anti-clockwise. Initially the father runs and the son walks for a certain period of time. Thereafter, as soon as the father starts walking, the son starts running. Both complete the course in 45 minutes. For how long does the father run? Where do the two cross each other?

Solution
Let father runs t hours and walks (0.75-t) hours, then according to the given condition
5t+2(0.75-t)=x (for father)
10(0.75-t)+4t=x (for son)
on comparing these two we will get t=2/3 hrs=40 min
on taking t=2/3 hrs, x=3.5 miles
so father will run for 2/3 hrs = 40 min

now let the two will cross each other after time x then according to the given condition 5x+4x=3.5 so x = 7/18 hrs = 70/3 min in this much time father will run
5*7/18 = 35/18 miles and son will walk (7/2)-(35/18) = 28/18 = 14/9 miles


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Asked In TCS Deependra Chauhan (14 years ago)
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(#M40003198) TCS QUESTION maths Keep an EYE Keep an eye puzzle Keep an eye puzzle

19 people(a1,a2......a19)are invited to a party. The host and the
hostess shake hands with each invitee and also with each other. The
invitee shake hands in a circular fashion, i.e. the
pairs(a1,a1),(a2,a3).........(a18,a19),(a19,a1)shake hands. So in all
three are 58 handshakes. Let S be a set of people such that every
pair in S shake hands. The size of S is at most

Asked In TCS Deependra Chauhan (14 years ago)
Solved Krishanu Das Read Solution (3)
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(#M40003175) TCS QUESTION maths Keep an EYE Keep an eye puzzle Keep an eye puzzle

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 minutes while each minute has 60 seconds. 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 15:40 am

Solution
Right Answer is: 149 deg

36 hours in a day means the clock will be of 18 hours.
18 hours cover 360 deg
Thus 1 hour covers 20 deg
15 hours covers 15*20=300 deg
1 hour = 90 min
thus in 90min the hour hand goes 20deg
for 1min hr hand goes 2/9deg
for 40 min hour hand will go (2/9)*40deg= 80/9deg =9deg(approx)
thus hr hand at 15:40 AM covers total of 300+9 = 309deg
now min hand covers = 40*4 = 160deg
(this is because 90min=360deg
1min=4deg)

thus angle between these hands 309-160 = 149degRight Answer is: 149 deg

36 hours in a day means the clock will be of 18 hours.
18 hours cover 360 deg
Thus 1 hour covers 20 deg
15 hours covers 15*20=300 deg
1 hour = 90 min
thus in 90min the hour hand goes 20deg
for 1min hr hand goes 2/9deg
for 40 min hour hand will go (2/9)*40deg= 80/9deg =9deg(approx)
thus hr hand at 15:40 AM covers total of 300+9 = 309deg
now min hand covers = 40*4 = 160deg
(this is because 90min=360deg
1min=4deg)

thus angle between these hands 309-160 = 149deg
This answer is given by CHINTAN MAKWANA and is correct answer


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Asked In TCS Deependra Chauhan (14 years ago)
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(#M40003161) TCS QUESTION maths Keep an EYE Keep an eye puzzle Keep an eye puzzle

45 people {a1, a2,.....,a45} meet and shake hands in a circular fashion. In other words, there are totally 45 handshakes involving the pairs
{a1,a2},{a2,a3},......{a44,a45},{a45,a1}. Then the size of the
smallest set of people such that the rest have shaken hands with at
least one person in the set is

Asked In TCS Deependra Chauhan (14 years ago)
Solved manas ranjan panda Read Solution (1)
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(#M40003155) TCS QUESTION maths Keep an EYE Keep an eye puzzle Keep an eye puzzle

If atlantic is found in atlantic ocean ,india is found in indian ocean
then which of the following cases are true

Solution
Dear Deependra Chauhan, submit the complete question

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(#M40003134) TCS QUESTION maths Keep an EYE Keep an eye puzzle Keep an eye puzzle

the population of tha bacteria culture doubles every 2
mins.approximately how many min it will take for the population to
grow from 1000 to 500000 bacteria.

Asked In TCS Deependra Chauhan (14 years ago)
Unsolved Read Solution (2)
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