Question 34

Select the option that is related to the third number in the same way as the second number is related to the first number.
8 : 81 :: 10 : .....


The logic here is

$$\left(8+1\right)^2=9^2=81$$ $$\longrightarrow\ $$ $$\left(\text{first number}+1\right)^2=\text{second number}$$

Similarly, $$\left(\text{third number}+1\right)^2=\text{fourth number}$$

Fourth number = $$\left(10+1\right)^2=11^2=121$$

$$\therefore\ $$121 is related to 10 in the same way 81 is related to 8.

Hence, the correct answer is Option A

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