Latest TCS Aptitude Question SOLUTION: In a clock the long hand is of 8cm and the short hand is of 7cm. if the clock runs for 4 days find out the total distance covered by both the hands.

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(#M40024391) TCS Numerical Ability question tcs Keep an EYE

In a clock the long hand is of 8cm and the short hand is of 7cm. if the clock runs for 4 days find out the total distance covered by both the hands.

Asked In TCS TCS 2014 (10 years ago)

Unsolved Read Solution (8)

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Read Solution (8) :

kamlesh kumar vishwakarma  (10 years ago)

@arpit bro..there is a little mistake in ur expalanation.
ans=1648*pi..
explaination-

4(2*2*pi*7+24*2*pi*8)=1648*pi

Is this solution Helpfull? Yes (46) | No (5)  

Amrita rao  (8 years ago)

4 days = 96 hours
long hand makes 1 round (i.e 2*pi*r) in 1 hour, so 96 rounds in 96 hours
short hand makes 1 round in 12 hours, so 8 rounds in 96 hours
Hence total distance = (96*2*pi*8) + (8*2*pi*7) = 1648*pi

Is this solution Helpfull? Yes (18) | No (1)  

Arpit Varshney  (10 years ago)

4(2*pi*7+24*2*pi*8)=1592*pi

Is this solution Helpfull? Yes (10) | No (18)  

tejaswi chitta  (10 years ago)

4days means total 8 circles
distance covered by long hand for circle is 2*pi*8
distance covered by short hand for circle is 2*pi*7
total distance=8(2*pi*8+2*pi*7)=754.28

Is this solution Helpfull? Yes (6) | No (11)  

Nivedita Mondal  (10 years ago)

why 24 comes explain???

Is this solution Helpfull? Yes (2) | No   

N.R.Pallavi  (10 years ago)

is that correct answer @kamlesh kumar ??????
i think answer is 2880 pi

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Guru Pranav  (10 years ago)

2261.76 i think.

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shaik khaja moyeen  (8 years ago)

Example Problem

Short Hand

One full rotation in 12 hours ⟹2πr=16π⟹2πr=16π cm traversed every 12 hours.

For one day, we have 32π32π cm, twice that of a 12 hour period.

For 3 days, we then have 3⋅32π=96π3⋅32π=96π cm traversed.

Long Hand

One full rotation in 1 hour ⟹2πr=24π⟹2πr=24π cm traversed every hour.

For one day, we have 24⋅24π=57624⋅24π=576 cm.

For 3 days, we then have 3⋅576π=1728π3⋅576π=1728π cm traversed.

Total Distance

For the total, we have 96π+1728π=1824π96π+1728π=1824π cm.

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