Question : Directions: Select the option that is related to the fourth term in the same way as the first term is related to the second term and the fifth term is related to the sixth term. 8 : 496 :: ? : 204 :: 9 : 711
Option 1: 5
Option 2: 13
Option 3: 6
Option 4: 11
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Correct Answer: 6
Solution : Given: 8 : 496 :: ? : 204 :: 9 : 711
Here, 8 : 496→(8 ) 3 – (8 × 2) = 512 – 16 = 496 9 : 711→(9 ) 3 – (9 × 2) = 729 – 18 = 711
Now, let's check the given options – First option: 5→(5 ) 3 – (5 × 2) = 125 – 10 = 115 ≠ 204 Second option: 13→(13 ) 3 – (13 × 2) = 2197 – 26 = 2171 ≠ 204 Third option: 6→(6 ) 3 – (6 × 2) = 216 – 12 = 204 Fourth option: 11→(11 ) 3 – (11 × 2) = 1331 – 22 = 1309 ≠ 204
So, 6 is related to 204 in the same way as the first term is related to the second term, and the fifth term is related to the sixth term. Hence, the third option is correct.
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