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

76 * 4 * 26 * 13 * 9 * 62

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 26 Jul 2023 Shift 3)
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  1. −, +, ÷, ×, =
  2. +, ÷, ×, −, =
  3. +, −, ÷, ×, =
  4. ÷, −, +, ×, =

Answer (Detailed Solution Below)

Option 3 : +, −, ÷, ×, =
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Detailed Solution

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The logic followed here is :-

By using BODMAS RULE :

qImage10327

Option 1) : −, +, ÷, ×, =

Given equation : 76 * 4 * 26 * 13 * 9 * 62

After inserting the mathematical operators in given equation the equation is as follows : 76 - 4 + 26 ÷ 13 × 9 = 62

⇒ 76 - 4 + 26 ÷ 13 × 9 = 62

⇒ 76 - 4 + 2 × 9 = 62

⇒ 76 - 4 + 18 = 62

⇒ 94 - 4 = 62

⇒ 90 ≠ 62

LHS ≠ RHS

Option 2) : +, ÷, ×, −, =

Given equation : 76 * 4 * 26 * 13 * 9 * 62

After inserting the mathematical operators in given equation the equation is as follows : 76 + 4 ÷ 26 × 13 - 9 = 62

⇒ 76 + 4 ÷ 26 × 13 - 9 = 62

⇒ 76 + 0.1538 × 13 - 9 = 62

⇒ 76 + 2 - 9 = 62

⇒ 78 - 9 = 62

⇒ 69 ≠ 62

LHS ≠ RHS

Option 3) : +, −, ÷, ×, =

Given equation : 76 * 4 * 26 * 13 * 9 * 62

After inserting the mathematical operators in given equation the equation is as follows : 76 + 4 - 26 ÷ 13 × 9 = 62

⇒ 76 + 4 - 26 ÷ 13 × 9 = 62

⇒ 76 + 4 - 2 × 9 = 62

⇒ 76 + 4 - 18 = 62

⇒ 80 - 18 = 62

⇒ 62 = 62

LHS = RHS

Option 4) : ÷, −, +, ×, =

Given equation : 76 * 4 * 26 * 13 * 9 * 62

After inserting the mathematical operators in given equation the equation is as follows : 76 ÷ 4 - 26 + 13 × 9 = 62

⇒ 76 ÷ 4 - 26 + 13 × 9 = 62

⇒ 19 - 26 + 13 × 9 = 62

⇒ 19 - 26 + 117 = 62

⇒ 136 - 26 = 62

⇒ 110 ≠ 62

LHS ≠ RHS

Hence, the correct answer is "+, −, ÷, ×, =".

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