Question : Directions: Select the option that is related to the third number in the same way as the second number is related to the first number and the sixth number is related to the fifth number.
144 : 36 :: 81 : ? :: 196 : 42
Option 1: 30
Option 2: 23
Option 3: 27
Option 4: 29
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Correct Answer: 27
Solution :
Given:
144 : 36 :: 81 : ? :: 196 : 42
Find the square root of the given number and then divide the second number by the resultant number to obtain 3 –
Like, 144 : 36→$\sqrt144$ = 12 and 36 ÷ 12 = 3
And, 196 : 42→$\sqrt196$ = 14 and 42 ÷ 14 = 3
Similarly, follow the same pattern for 81 –
$\sqrt81$ = 9 and ? ÷ 9 = 3
⇒ ? = 3 × 9
⇒ ? = 27
So, 27 is the missing number in the given set of numbers. Hence, the third option is correct.
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