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Question : Directions: Select the option that is 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.
16 : 106 :: 11 : ? :: 10 : 22
Option 1: 36
Option 2: 42
Option 3: 40
Option 4: 31
Answer (1)
Correct Answer: 31
Solution : Given:
16 : 106 :: 11 : ? :: 10 : 22
Subtract 6 from the first number, square the resultant, and add 6, to get the second number –
Like in, 16 : 106 → (16 – 6)2 + 6 = 100, 100 + 6 = 106
And in, 10 : 22 → (10 – 6)2 = 16, 16 + 6 = 22
Similarly, follow the same pattern for 11 : ? → (11 – 6)2 = 25, 25 + 6 = 31
Therefore, the required missing number is 31. Hence, the fourth option is correct.
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