Question : Directions: Select the option that is related to the sixth number in the same way as the first number is related to the second number and the third number is related to the fourth number. 27 : 841 :: 18 : 400 :: ? : 324
Option 1: 16
Option 2: 12
Option 3: 14
Option 4: 10
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Correct Answer: 16
Solution : Given: 27 : 841 :: 18 : 400 :: ? : 324
Like, 27 : 841→(27 + 2) 2 = 29 2 = 841 And, 18 : 400→(18 + 2) 2 = 20 2 = 400 Similarly, follow the same pattern for 324 : ?→Let the missing number be a. ⇒ (a + 2) 2 = 324 ⇒ a + 2 = √324 ⇒ a + 2 = 18 ⇒ a = 18 – 2 ⇒ a = 16
So, 16 is related to 324. Hence, the first option is correct.
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