Question 43

Select the option in which the numbers share the same relationship as that shared by the given number-pair.

4 : 25

Solution

The logic here is

$$25=5^2=\left(4+1\right)^2$$ $$\longrightarrow\ $$ $$\text{second number}=\left(\text{first number}+1\right)^2$$

Similarly,

$$49=7^2=\left(6+1\right)^2$$ $$\longrightarrow\ $$ $$\text{second number}=\left(\text{first number}+1\right)^2$$

$$\therefore\ $$6 : 49 share the same relationship as 4 : 25

Hence, the correct answer is Option D


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