Question 32

Select the option that is related to the fourth number in the same way as the first number is related to the second number and the fifth number is related to sixth number.

11 : 1000 :: ? : 1728 :: 9 : 512

Solution

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11 : 1000

11 ==> $$\left(11-1\right)^3$$ = $$\left(10\right)^3$$ = 1000
9 : 512

9 ==> $$\left(9-1\right)^3$$ = $$\left(8\right)^3$$ = 512

? : 1728

? ==> $$\left(?-1\right)^3 = 1728$$

$$\left(?-1\right)^3=12^3$$

$$?-1=12$$
$$?=12+1 = 13$$
So here 13 will come in place of the question mark.

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