Question : Directions: Select the option that is related to the fourth term in the same way as the first term is related to the second term and the fifth term is related to the sixth term.
5 : 21 :: ? : 252 :: 27 : 725
Option 1: 26
Option 2: 10
Option 3: 16
Option 4: 12
Correct Answer: 16
Solution :
Given:
5 : 21 :: ? : 252 :: 27 : 725
Subtract 4 from the square of the given number to obtain the missing number –
Like, 5 : 21→5
2
– 4 = 25 – 4 = 21
And, 27 : 725→27
2
– 4 = 729 – 4 = 725
Similarly, follow the same pattern for 252 –
⇒ x
2
– 4 = 252
⇒ x
2
= 252 + 4
⇒ x
2
= 256
⇒ x = 16
So, 16 is the missing number. Hence, the third option is correct.
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