Question : Directions: In the following question, select the related number from the given alternatives.
12 : 144 :: ? : ?
Option 1: 10 : 40
Option 2: 15 : 125
Option 3: 20 : 400
Option 4: 22 : 464
Correct Answer: 20 : 400
Solution :
Given:
12 : 144 :: ? : ?
In the given pair, the second number is the perfect square of the first number.
Like, 12 : 144→(12)
2
= 144
Let's check the options –
First option:
10 : 40; (10)
2
= 100 ≠ 40
Second option:
15 : 125; (15)
2
= 225 ≠ 125
Third option:
20 : 400; (20)
2
= 400
Fourth option:
22 : 464; (22)
2
= 484 ≠ 464
So, only the third option follows the same pattern as followed by the given pair. Hence, the third option is correct.
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