Question
Select the option that is related to the third term in the same way as the second term is related to first term and the sixth term is related to the fifth term. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g., 13 - Operations on 13 such as adding/ subtracting/ multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)
12: 1331 :: 16: ? :: 14: 2197
Solution
The logic followed here is: The 2nd number is cube of the immediately preceding number of the 1st number, i.e., if AB:CD, then CD = (AB - 1)³.
'12 : 1331' = (12 - 1)³ = 11³ = 1331
'14 : 1331' = (14 - 1)³ = 13³ = 2197
'9 : 1331' = (9 - 1)³ = 8³ = 512.
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