Latest Elitmus Aptitude Question SOLUTION: Suppose there is a round duct which contains round pipes. The diameter of the pipe is 2 cm. The duct contains 3 similar pipes which fit exactly into it. Find the diameter of the du

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(#M40145485) ELITMUS Numerical Ability question Geometry Keep an EYE

Suppose there is a round duct which contains round pipes. The diameter of the pipe is 2 cm. The duct contains 3 similar pipes which fit exactly into it. Find the diameter of the duct?
a.) 4 b.) 5 c.) 6 d.)7

Asked In Elitmus ARJIT (9 years ago)

Unsolved Read Solution (5)

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siddharth prakash singh  (9 years ago)

imagine the figure as a big circle that comprises of three small circles having radius 1 cm. now as you draw figure u will find that all three circles touch each other and also the circumference of outer big circle.
now when you join the centers of all inner 3 circle, a equilateral triangle of side 2 cm will be formed. now find the in radius of this triangle which will be 2/sqrt3. so the radius of outer circle will be ((2/sqrt3)+1). hence diameter will be 2*((2/sqrt3)+1). which will be the diameter of the required duct.

Is this solution Helpfull? Yes (14) | No (5)  

Koushik Dey  (9 years ago)

I think a) 4

Is this solution Helpfull? Yes (3) | No   

Gourav Goyal  (9 years ago)

SIDDHARTH PRAKASH SINGH answer is right but 2/sqrt3 is circum-radius not in-radius.

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MR. X  (9 years ago)

Arun Sharma(Pg No-392,Q.No-40,LOD-1)

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MR. X  (9 years ago)

sORRY REFER LOD-2

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