Which of the following sets of signs should be used to replace in the following?

56 * 4 * 3 = 9 * 2 * 7

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UP Police SI (दरोगा) Official PYP (Held On: 12 Nov 2021 Shift 2)
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  1. + × ÷ -
  2. + × × +
  3. × - ÷ +
  4. ÷ - × -

Answer (Detailed Solution Below)

Option 4 : ÷ - × -
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Detailed Solution

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BODMAS

Given: 56 * 4 * 3 = 9 * 2 * 7

According to the question, after interchanging the numbers :

Option 1) + × ÷ -

56 * 4 * 3 = 9 * 2 * 7 ⇒ 56 + 4 × 3 = 9 ÷ 2 - 7

⇒ 56 + × 3 = ÷ 2 - 7

⇒ 56 + 12 = 4.5 - 7

⇒ 68 ≠ -2.5 (LHS ≠ RHS)

Option  2) + × × +

56 * 4 * 3 = 9 * 2 * 7 ⇒ 56 + 4 × 3 = 9 × 2 + 7

⇒ 56 + × 3 = × 2 + 7

⇒ 56 + 12 = 18 + 7

⇒ 68 ≠ 25 (LHS ≠ RHS)

Option  3) × - ÷ +

56 * 4 * 3 = 9 * 2 * 7 ⇒ 56 × 4 - 3 = 9 ÷ 2 + 7

⇒ 56 × 4 - 3 = ÷ 2 + 7

224 - 3 = 4.5 + 7

⇒ 221 ≠ 11.5 (LHS ≠ RHS)

Option  4) ÷ - × -

56 * 4 * 3 = 9 * 2 * 7 ⇒ 56 ÷ 4 - 3 = 9 × 2 - 7

⇒ 56 ÷ 4 - 3 = × 2 - 7

14 - 3 = 18 - 7

⇒ 11 11 (LHS RHS)

Hence, "Option 4" is the correct answer.

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