Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation. 

34 * 44 * 4 * 29 * 17 * 362

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  1. + ÷ × - =
  2. ÷ - × + =
  3. × ÷ - + =
  4. ÷ + × - =

Answer (Detailed Solution Below)

Option 3 : × ÷ - + =
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Detailed Solution

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BODMAS

Given: 34 * 44 * 4 * 29 * 17 * 362

So, according to the question by replacing the signs:

Option 1) + ÷ × - =

34 * 44 * 4 * 29 * 17 * 362 ⇒ 34 + 44 ÷ 4 × 29 - 17 = 362

⇒ 34 + 44 ÷ 4 × 29 - 17 = 362

⇒ 34 + 11 × 29 - 17 = 362

⇒ 34 + 319 - 17 = 362

⇒ 353 - 17 = 362

⇒ 336 ≠ 362 (LHS ≠ RHS)

Option  2) ÷ - × + =

34 * 44 * 4 * 29 * 17 * 362 ⇒ 34 ÷ 44 - 4 × 29 + 17 = 362

⇒ 34 ÷ 44 - 4 × 29 + 17 = 362

⇒ 0.77 - × 29 + 17 = 362

0.77 + 17 - 116 = 362

17.77 - 116 = 362

⇒ -98.23 ≠ 362 (LHS ≠ RHS)

Option  3) × ÷ - + =

34 * 44 * 4 * 29 * 17 * 362 ⇒ 34 × 44 ÷ 4 - 29 + 17 = 362

⇒ 34 × 44 ÷ 4 - 29 + 17 = 362

⇒ 34 × 11 - 29 + 17 = 362

⇒ 374 + 17 - 29 = 362

⇒ 391 - 29 = 362

 362 362 (LHS RHS)

Option  4) ÷ + × - =

34 * 44 * 4 * 29 * 17 * 362 ⇒ 34 ÷ 44 + 4 × 29 - 17 = 362

⇒ 34 ÷ 44 + 4 × 29 - 17 = 362

⇒ 0.77 + 4 × 29 - 17 = 362

⇒ 0.77 + 116 - 17 = 362

⇒ 116.77 - 17 = 362

⇒ 99.77 ≠ 362 (LHS ≠ RHS)

Hence, "Option 3" is the correct answer.

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