The numbers in each set are related to each other in a certain way.

(6, 64, 2), (8, 225, 7), (3, ?, 9)

Based on the relationship among the numbers in the first two sets, select the number that can replace the question mark (?) in the third set.

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  1. 148
  2. 144
  3. 146
  4. 124

Answer (Detailed Solution Below)

Option 2 : 144
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The logic followed here is:

Logic: (1st number + 3rd number)2 = 2nd number.

Now,

For, (6, 64, 2)

⇒ (6 + 2)2 = 82 = 64.

For, (8, 225, 7)

⇒ (8 + 7)2 = 152 = 225.

Similarly, for (3, ?, 9)

⇒ (3 + 9)2 = 122 = 144.

Hence, the correct answer is "Option 2".

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