Question : Directions: Select the option related to the third term in the same way as the second term is related to the first term and the sixth term is related to the fifth term.
6 : 74 :: 9 : ? :: 5 : 52
Option 1: 164
Option 2: 168
Option 3: 160
Option 4: 172
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Correct Answer: 164
Solution :
Given:
6 : 74 :: 9 : ? :: 5 : 52
Multiply the square of the first number by 2, and add 2 to the resultant, to get the second number in each number pair –
Like, 6 : 74→(6 × 6 × 2) + 2 = 74
And, 5 : 52→(5 × 5 × 2) + 2 = 52
Similarly, follow the same pattern for 9 : ?→(9 × 9 × 2) + 2 = 164
So, 164 is the required missing number. Hence, the first option is correct.
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