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

36 * 12 * 6 * 12 * 3 = 63

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SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 1)
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  1. ×, ÷, -, +
  2. ÷, -, +, × 
  3. ÷, +, -, × 
  4. +, ÷, ×, -

Answer (Detailed Solution Below)

Option 1 : ×, ÷, -, +
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Detailed Solution

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The logic followed here is :-

By using BODMAS RULE :

qImage10327

Option 1) : ×, ÷, -, +

Given equation : 36 * 12 * 6 * 12 * 3 = 63

After inserting the mathematical operators in given equation the equation is as follows : 36 × 12 ÷ 6 - 12 + 3 = 63

⇒ 36 × 12 ÷ 6 - 12 + 3 = 63

⇒ 36 × 2 - 12 + 3 = 63

⇒ 72 - 12 + 3 = 63

⇒ 75 - 12 = 63

⇒ 63 = 63

LHS = RHS

Option 2) : ÷, -, +, × 

Given equation : 36 * 12 * 6 * 12 * 3 = 63

After inserting the mathematical operators in given equation the equation is as follows : 36 ÷ 12 - 6 + 12 × 3 = 63

⇒ 36 ÷ 12 - 6 + 12 × 3 = 63

⇒ 3 - 6 + 12 × 3 = 63

⇒ 3 - 6 + 36 = 63

⇒ 39 - 6 = 63

⇒ 33 ≠ 63

LHS ≠ RHS

Option 3) : ÷, +, -, × 

Given equation : 36 * 12 * 6 * 12 * 3 = 63

After inserting the mathematical operators in given equation the equation is as follows : 36 ÷ 12 + 6 - 12 × 3 = 63

⇒ 36 ÷ 12 + 6 - 12 × 3 = 63

⇒ 3 + 6 - 12 × 3 = 63

⇒ 3 + 6 - 36 = 63

⇒ 9 - 36 = 63

⇒ 27 ≠ 63

LHS ≠ RHS

Option 4) : +, ÷, ×, -

Given equation : 36 * 12 * 6 * 12 * 3 = 63

After inserting the mathematical operators in given equation the equation is as follows : 36 + 12 ÷ 6 × 12 - 3 = 63

⇒ 36 + 12 ÷ 6 × 12 - 3 = 63

⇒ 36 + 2 × 12 - 3 = 63

⇒ 36 + 24 - 3 = 63

⇒ 60 - 3 = 63

⇒ 57 ≠ 63

LHS ≠ RHS

Hence, the correct answer is "×, ÷, -, +".

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