What value should come in the place of question mark (?) in the following question:

(12 × 12)3 ÷ (144 × 12)3 × (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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Given:

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

Formula used:

am ÷ an = am-n and (ab)n = an × bn

Calculation:

(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

∴ The correct answer is option (1).

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