Question 17

Select the option that is related to the fifth number in the same way as the second number is related to the first number and fourth number is related to third number.
121 : 145 : : 49 : 65 : : 169 : ?

Solution

Given the relationship 

121 : 145 : : 49 : 65 : : 169 : ?

the above number pattern follows the given below 

$$ 11^2 : 12^2+1 :: 7^2 : 8^2 +1 :: 13^2 : ? $$

therefore from the above pattern ? = $$ 14 ^2 +1 $$

$$\Rightarrow ? = 196 +1 $$

$$\Rightarrow ? = 197 $$ Ans 


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