Which two numbers should be interchanged to make the given equation correct?

1 × 4 + 3 - 5 = 6

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SSC MTS (2022) Official Paper (Held On: 20 Jun, 2023 Shift 3)
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  1. 1 and 5
  2. 4 and 5
  3. 5 and 3
  4. 3 and 6

Answer (Detailed Solution Below)

Option 3 : 5 and 3
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Detailed Solution

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The logic followed here is :-

By using BODMAS RULE :

6273e5e2ff842f28ed9d138d 16542262274581

Option 1) : 1 and 5

Given equation is  : 1 × 4 + 3 - 5 = 6

After interchanging the two number the equation is as follows : 5 × 4 + 3 - 1 = 6

⇒ 5 × 4 + 3 - 1 = 6

⇒ 20 + 3 - 1 = 6

⇒ 23 - 1 = 6

⇒ 22 ≠ 6

LHS ≠ RHS

Option 2) : 4 and 5

Given equation is  : 1 × 4 + 3 - 5 = 6

After interchanging the two number the equation is as follows : 1 × 5 + 3 - 4 = 6

⇒ 1 × 5 + 3 - 4 = 6

⇒ 5 + 3 - 4 = 6

⇒ 8 - 4 = 6

⇒ 4 ≠ 6

LHS ≠ RHS

Option 3) : 5 and 3

Given equation is  : 1 × 4 + 3 - 5 = 6

After interchanging the two number the equation is as follows : 1 × 4 + 5 - 3 = 6

⇒ 1 × 4 + 5 - 3 = 6

⇒ 4 + 5 - 3 = 6

⇒ 9 - 3 = 6

⇒ 6 = 6

LHS = RHS

Option 4) : 3 and 6

Given equation is  : 1 × 4 + 3 - 5 = 6

After interchanging the two number the equation is as follows : 1 × 4 + 6 - 5 = 3

⇒ 1 × 4 + 6 - 5 = 3

⇒ 4 + 6 - 5 = 3

⇒ 10 - 5 = 3

⇒ 5 ≠ 3

LHS ≠ RHS

Hence, the correct answer is "5 and 3".

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