Question : Directions: Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number.
9 : 102 :: 11 : 146 :: 13 : ?
Option 1: 198
Option 2: 200
Option 3: 175
Option 4: 171
Correct Answer: 198
Solution :
Given:
9 : 102 :: 11 : 146 :: 13 : ?
Add 1 to the given number and then find the square of the resultant number and add 2 to obtain the missing term –
Here, 9 : 102→(9 + 1)
2
+ 2 = (10)
2
+ 2 = 100 + 2 = 102
And, 11 : 146→(11 + 1)
2
+ 2 = (12)
2
+ 2 = 144 + 2 = 146
Similarly, follow the same pattern for 13; (13 + 1)
2
+ 2 = (14)
2
+ 2 = 196 + 2 = 198
So, 198 is the missing number in the given pair of numbers. Hence, the first option is correct.
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