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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


Team Careers360 5th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

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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