Direction : In the following question choose the correct option in place of '?' such that each term on either side of' have same relation. 6:343 :: 3:64 : 1:8:: 9:? O 1000 0 729 O 512 O 1331
Answers
SOLUTION
TO CHOOSE THE CORRECT OPTION
In the following question choose the correct option in place of '?' such that each term on either side of' have same relation. 6 : 343 :: 3 : 64 : 1 : 8 :: 9 : ?
- 1000
- 729
- 512
- 1331
EVALUATION
Here it is given that
6 : 343 :: 3 : 64 : 1 : 8 :: 9 : ?
We first find the relation
6 : 7³ :: 3 : 4³ : 1 : 2³
So the relation is of the form form
a : ( a + 1)³
For a = 9 it will be
9 : ( 9 + 1)³
= 9 : 10³
= 9 : 1000
∴ 6 : 343 :: 3 : 64 : 1 : 8 :: 9 : 1000
FINAL ANSWER
Hence the correct option is 1000
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