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.
4 : 33 :: ? : 109 :: 8 : 257
Option 1: 5
Option 2: 9
Option 3: 6
Option 4: 7
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Correct Answer: 6
Solution :
Given:
4 : 33 :: ? : 109 :: 8 : 257
Like, ((4)
3
÷ 2) + 1 = (64 ÷ 2) + 1 = 32 + 1 = 33
((8)
3
÷ 2) + 1 = (512 ÷ 2) + 1 = 256 + 1 = 257
Similarly, ((?)
3
÷ 2) + 1 = 109
⇒ ((?)
3
÷ 2) = 109 – 1 = 108
⇒ (?)
3
= 108 × 2 = 216
⇒ (?) = 6
So, 6 is the required answer. Hence, the third option is correct.
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