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

16 * 3 * 2 * 11 * 9 = 22

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 12 Dec 2022 Shift 4)
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  1. × ÷ + -
  2. × ÷ − +
  3. ÷ × + +
  4. ÷ + × ÷

Answer (Detailed Solution Below)

Option 2 : × ÷ − +
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Detailed Solution

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The pattern followed here is:

We have to put the mathematical signs to sequentially replace the * signs and balance the given equation.

Let's check each option one by one.

Option 1) × ÷ + -

Given: 16 * 3 * 2 * 11 * 9 = 22

⇒ 16 × 3 ÷ 2 + 11 - 9 = 22

16 × 1.5 + 11 - 9 = 22

24 + 11 - 9 = 22

35 - 9 = 22

⇒ 26 ≠ 22 

⇒ LHS ≠ RHS

Option 2) × ÷ − +

Given: 16 * 3 * 2 * 11 * 9 = 22

⇒ 16 × 3 ÷ 2 - 11 + 9 = 22

⇒ 16 × 1.5 - 11 + 9 = 22

24 - 11 + 9 = 22

33 - 11 = 22

⇒ 22 = 22

⇒ LHS = RHS

Option 3) ÷ × + +

Given: 16 * 3 * 2 * 11 * 9 = 22

16 ÷ 3 × 2 + 11 + 9 = 22

5.33 × 2 + 11 + 9 = 22

⇒ 10.6 + 11 + 9 = 22

⇒ 30.6 ≠ 22

⇒ LHS ≠ RHS

Option 4) ÷ + × ÷

Given: 16 * 3 * 2 * 11 * 9 = 22

⇒ 16 ÷ 3 + 2 × 11 ÷ 9 = 22 

⇒ 5.33 + 2 × 1.22 = 22

5.33 + 2.44 = 22

⇒ 7.77 ≠ 22

⇒ LHS ≠ RHS

Hence, the correct answer is "Option 2".

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