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Q.

Difference of two perfect cubes is 189. If the cube root of the smaller of the two numbers is 3, what is the cube root of the larger number?


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a

4

b

5

c

6

d

7 

answer is C.

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Detailed Solution

It is given that the difference of two perfect cubes is 189 and the cube root of the smaller of the two numbers is 3.
Let x represent the larger number's cube root.
Form the equation, so by the given condition,
x 3 3 3  = 189 x 3 27 = 189 x 3  = 216 x 3 = 6 3   x = 6  
Consequently, the greater number's cube root is 6.
Therefore, option 3 is correct.
 
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