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Question

The number of students joining a class prior to 20 minutes is 729. If the number of students joining the class triples every 10 minutes, what is the cube root of the number of students joining after 40 minutes from now?


A

81

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B

27

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C

64

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D

48

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Solution

The correct option is A

81


For every 10 mins passage of time, the number of students joining the class gets tripled i.e. multiplied by 3.

The number of students joining after 40 minutes from now on is
729×3×3×3×3×3×3 ( from 20 mins back to 40 mins forward).

The cube root of 729 is 9.

Cube root of given number is 9×3×3​ = 81


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