Which of the following sets of signs should be used to replace * in the following?
72 * 4 * 2 = 3 * 5 * 1

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UP Police SI (दरोगा) Official PYP (Held On: 14 Nov 2021 Shift 2)
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  1. x - ÷ +
  2. + × × +
  3. ÷ - × +
  4. + × ÷ -

Answer (Detailed Solution Below)

Option 3 : ÷ - × +
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UP Police SI (दरोगा) Official PYP (Held On: 2 Dec 2021 Shift 1)
160 Qs. 400 Marks 120 Mins

Detailed Solution

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Given: 72 * 4 * 2 = 3 * 5 * 1

According to the question, after replacing the signs :

Option 1) x - ÷ +

72 * 4 * 2 = 3 * 5 * 1 ⇒ 72 × 4 - 2 = 3 ÷ 5 + 1

⇒ 72 × 4 - 2 = 3 ÷ 5 + 1

288 - 2 = 0.6 + 1

286 ≠ 1.06 (LHS ≠ RHS)

Option  2) + × × +

72 * 4 * 2 = 3 * 5 * 1 ⇒ 72 + 4 × 2 = 3 × 5 + 1

⇒ 72 + × 2 = × 5 + 1

⇒ 72 + 8 = 15 + 1

80 ≠ 16 (LHS ≠ RHS)

Option  3) ÷ - × +

72 * 4 * 2 = 3 * 5 * 1 ⇒ 72 ÷ 4 - 2 = 3 × 5 + 1

⇒ 72 ÷ 4 - 2 = × 5 + 1

18 - 2 = 15 + 1

16 16 (LHS RHS)

Option  4) + × ÷ -

72 * 4 * 2 = 3 * 5 * 1 ⇒ 72 + 4 × 2 = 3 ÷ 5 - 1

⇒ 72 + 4 × 2 = 3 ÷ 5 - 1

⇒ 72 + 8 = 0.6 - 1

80 ≠ -0.4 (LHS ≠ RHS)

Hence, "Option 3" is the correct answer.

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