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.
2 : 9 :: 9 : ? :: 6 : 217
Option 1: 730
Option 2: 28
Option 3: 513
Option 4: 82
Correct Answer: 730
Solution :
Given:
2 : 9 :: 9 : ? :: 6 : 217
Find the cube of the number given the first term, and then add 1 to the resultant number, to obtain the missing term –
Like, 2 : 9→2
3
+ 1 = 8 + 1 = 9
And, 6 : 217→6
3
+ 1 = 216 + 1 = 217
Similarly, follow the same pattern for 9 : ?→
9
3
+ 1 = 729 + 1 = 730
So, 730 is the missing number in the given set of numbers. Hence, the first option is correct.
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