Latest Bank Exam Aptitude Question SOLUTION: A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is: A. 12 kg B. 60 kg C. 72 kg D. 96 kg

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A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:

A. 12 kg
B. 60 kg
C. 72 kg
D. 96 kg

Asked In Bank Exam jai Narayan Mishra (12 years ago)

Solved CHANDAN KR SINGH Read Solution (2)

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CHANDAN KR SINGH  (12 years ago) Best Solution

ANSWER : 60kg

SOLUTION :

Volume of water displaced = 300cm*400cm*1cm = 60000cm^3
We know that density of water is 1gm/cm
Again Mass = Density*Volume = 60000*1 gm
Mass of displaced liquid = 60000gm = 60 kg
Using Archimedes Principal we know weight of displaced liquid = weight of floating body.

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siddhant das  (11 years ago)

Volume of water displaced =(3 x 2 x 0.01) m3
= 0.06 m3.
Mass of man= Volume of water displaced x Density of water
= (0.06 x 1000) kg
= 60 kg.

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