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

16 * 3 * 2 = 110 * 2 * 5

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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: 16 * 3 * 2 = 110 * 2 * 5480÷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 replacing the signs:

Option 1) × ÷ × + 

16 * 3 * 2 = 110 * 2 * 5 ⇒ 16 × 3 ÷ 2 = 110 × 2 + 5

⇒ 16 × ÷ 2 = 110 × 2 + 5

⇒ 16 × 1.5 = 220 + 5

⇒ 24  225 (LHS ≠ RHS)

Option  2) × + ÷ -

16 * 3 * 2 = 110 * 2 * 5 ⇒ 16 × 3 + 2 = 110 ÷ 2 - 5

⇒ 16 × 3 + 2 = 110 ÷ 2 - 5

48 + 2 = 55 - 5

⇒ 50 = 50 (LHS = RHS)

Option  3) × - + ×

16 * 3 * 2 = 110 * 2 * 5 ⇒ 16 × 3 - 2 = 110 + 2 × 5

⇒ 16 × 3 - 2 = 110 + × 5

48 - 2 = 110 + 10

⇒ 46  120 (LHS ≠ RHS)

Option  4) ÷ × + ×

16 * 3 * 2 = 110 * 2 * 5 ⇒ 16 ÷ 3 × 2 = 110 + 2 × 5

⇒ 16 ÷ 3 × 2 = 110 + × 5

5.33 × 2 = 110 + 10

⇒ 10.66  120 (LHS ≠ RHS)

Hence, "Option 2" is the correct answer.

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