Solve: \([( 43 \times 62 \times 43 \times 62 ) \div \left[ 2 \sqrt { ( 3844 \div 2 ) ^ { 2 } } \right]\)

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UP Police SI (दरोगा) Official PYP (Held On: 21 Nov 2021 Shift 1)
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  1. 1849
  2. 1564
  3. 2601
  4. 2304 

Answer (Detailed Solution Below)

Option 1 : 1849
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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:

The expression is \(\left[ ( 43 × 62 × 43 × 62 ) ÷ \left[ 2 \sqrt { ( 3844 ÷ 2 ) ^ { 2 } } \right] \right]\)

Calculations:

\(\left[ ( 43 × 62 × 43 × 62 ) ÷ \left[ 2 \sqrt { ( 3844 ÷ 2 ) ^ { 2 } } \right] \right]\)

⇒ \(\left[ ( 43 × 62 × 43 × 62 ) ÷ \left[ 2 \sqrt { ( 1922 ) ^ { 2 } } \right] \right]\)

⇒ [ ( 43 × 62 × 43 × 62 ) ÷ [ 2 × 1922]

⇒ [ ( 43 × 62 × 43 × 62 ) ÷ [ 2 × 31 × 62]

⇒ 43 × 43

⇒ 1849

∴ The value of the expression is 1849.

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