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. 17 : 4624 :: ? : 180 :: 13 : 2028
Option 1: 4
Option 2: 7
Option 3: 6
Option 4: 11
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Correct Answer: 6
Solution : Given: 17 : 4624 :: ? : 180 :: 13 : 2028
Like, 17 : 4624→(17) 2 × (17 – 1) = 289 × 16 = 4624 13 : 2028→(13) 2 × (13 – 1) = 169 × 12 = 2028 Let's check the options – First option: 4; (4) 2 × (4 – 1) = 16 × 3 = 48 ≠ 180 Second option: 7; (7) 2 × (7 – 1) = 49 × 6 = 294 ≠ 180 Third option: 6; (6) 2 × (6 – 1) = 36 × 5 = 180 Fourth option: 11; (11) 2 × (11 – 1) = 121 × 10 = 1210 ≠ 180
So, 6 is related to 180. Hence, the third option is correct.
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