Which of the following sets of signs should be used to replace * in the following?
60 * 5 * 8 = 2 * 8 * 4

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UP Police SI (दरोगा) Official PYP (Held On: 15 Nov 2021 Shift 2)
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  1. + × ÷ -
  2. ÷ + × +
  3. + × × +
  4. × - ÷ +

Answer (Detailed Solution Below)

Option 2 : ÷ + × +
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Detailed Solution

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BODMAS

Given: 60 * 5 * 8 = 2 * 8 * 4480÷0.3×5+500190+9×27÷1.6=2 480÷0.3×5+500190+9×27÷1.6=2 480÷0.3×5+500190+9×27÷1.6=2 480÷0.3×5+500190+9×27÷1.6=2 480÷0.3×5+500190+9×27÷1.6=2

According to the question, after interchanging the signs:

Option 1) + × ÷ -

60 * 5 * 8 = 2 * 8 * 4 ⇒ 60 + 5 × 8 = 2 ÷ 8 - 4

⇒ 60 + × 8 = ÷ 8 - 4

⇒ 60 + 40 = 0.25 - 4

⇒ 100  -3.75 (LHS ≠ RHS)

Option  2) ÷ + × +

60 * 5 * 8 = 2 * 8 * 4 ⇒ 60 ÷ 5 + 8 = 2 × 8 + 4

⇒ 60 ÷ 5 + 8 = × 8 + 4

12 + 8 = 16 + 4

⇒ 20 = 20 (LHS RHS)

Option  3) + × × +

60 * 5 * 8 = 2 * 8 * 4 ⇒ 60 + 5 × 8 = 2 × 8 + 4

⇒ 60 + × 8 = × 8 + 4

⇒ 60 + 40 = 16 + 4

⇒ 40  20 (LHS ≠ RHS)

Option  4) × - ÷ +

60 * 5 * 8 = 2 * 8 * 4 ⇒ 60 × 5 - 8 = 2 ÷ 8 + 4

⇒ 60 × 5 - 8 = ÷ 8 + 4

300 - 8 = 0.25 + 4

⇒ 292  4.25 (LHS ≠ RHS)

Hence, "Option 2" is the correct answer.

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