निम्नलिखित प्रश्न में प्रश्न चिह्न (?) के स्थान पर क्या मान आना चाहिए:

(12 x 12)3 ÷ (144 x 12)3 x (20736)2 = 12?

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UP Police SI (दरोगा) Official PYP (Held On: 24 Nov 2021 Shift 2)
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  1. 5
  2. 7
  3. 9
  4. 3

Answer (Detailed Solution Below)

Option 1 : 5
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UP Police SI (दरोगा) Official PYP (Held On: 2 Dec 2021 Shift 1)
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Detailed Solution

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दिया गया है:

(12 × 12)3 ÷ (144 × 12)3 × (20736)2 = 12?

प्रयुक्त सूत्र:

am ÷ an = am-n और (ab)n = an × bn

गणना:

(12 × 12)3 ÷ (144 × 12)3 × (20736)2 = 12?

⇒ (122)3 ÷ (12× 12)3 × (124)2 = 12?

⇒ 126 ÷ 129 × (124)2 = 12?

⇒ 126 ÷ 129 × (124)2 = 12?

⇒ 126 ÷ 129 × 128 = 12?

⇒ 126 - 9 + 8 = 12?

⇒ 125 = 12?

⇒ ? = 5

इसलिए, सही उत्तर विकल्प (1) है।

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