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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


Team Careers360 24th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

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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