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
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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