निम्न प्रश्न में प्रश्न चिह्न ‘?’ के स्थान पर क्या आएगा?

(4 × 4)3 ÷ (512 ÷ 8)4 × (32 × 8)4 = (2 × 2)(? + 4)

  1. 8
  2. 12
  3. 6
  4. 14
  5. 10

Answer (Detailed Solution Below)

Option 3 : 6
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Detailed Solution

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उपयोग की गई अवधारणा:

ax × ay = ax + y

ax ÷ ay = ax - y

गणना:

(4 × 4)3 ÷ (512 ÷ 8)4 × (32 × 8)4 = (2 × 2)(? + 4)

⇒ 46 ÷ (64)4 × 256= (4)(? + 4)

⇒ 46 ÷ (43)4 × (44)4 = (4)(? + 4)

⇒ 4(6 + 16 - 12) = (4)(? + 4)

⇒ 410 = (4)(? + 4)

So, ? + 4 = 10

⇒ ? = 10 - 4

∴ ? = 6

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