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

48 * 8 * 84 * 14 * 15 * 393

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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: 48 * 8 * 84 * 14 * 15 * 393

So, according to the question by replacing the signs:

Option 1) + ÷ × - =

48 * 8 * 84 * 14 * 15 * 393 ⇒ 48 + 8 ÷ 84 × 14 - 15 = 393

⇒ 48 + ÷ 84 × 14 - 15 = 393

⇒ 48 + 0.09 × 14 - 15 = 393

⇒ 48 + 1.26 - 15 = 393

49.26 - 15 = 393

⇒ 34.26 ≠ 393 (LHS ≠ RHS)

Option  2) ÷ - × + =

48 * 8 * 84 * 14 * 15 * 393 ⇒ 48 ÷ 8 - 84 × 14 + 15 = 393

⇒ 48 ÷ 8 - 84 × 14 + 15 = 393

⇒ 6 - 84 × 14 + 15 = 393

⇒ 6 + 15 - 1176 = 393

⇒ 21 - 1176 = 393

⇒ -1155 ≠ 393 (LHS ≠ RHS)

Option  3) × - ÷ + =

48 * 8 * 84 * 14 * 15 * 393 ⇒ 48 × 8 - 84 ÷ 14 + 15 = 393

⇒ 48 × 8 - 84 ÷ 14 + 15 = 393

⇒ 48 × 8 - 6 + 15 = 393

⇒ 384 + 15 - 6 = 393

⇒ 399 - 6 = 393

393 393 (LHS RHS)

Option  4) ÷ + × - =

48 * 8 * 84 * 14 * 15 * 393 ⇒ 48 ÷ 8 + 84 × 14 - 15 = 393

⇒ 48 ÷ 8 + 84 × 14 - 15 = 393

⇒ 6 + 84 × 14 - 15 = 393

⇒ 6 + 1176 - 15 = 393

⇒ 1182 - 15 = 393

⇒ 1167 ≠ 393 (LHS ≠ RHS)

Hence, "Option 3" is the correct answer.

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