By interchanging the two numbers 20 and 36, which of the following equations will be correct?

I. 55 + 42 – 36 × 20 ÷ 9 = 17

II. 20 ÷ 2 × 36 + 81 – 41 = 400

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SSC MTS Previous Year Paper (Held on: 19 July 2022 Shift 3)
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  1. Only I 
  2. Only II
  3. Both I and II
  4. Neither I nor II 

Answer (Detailed Solution Below)

Option 3 : Both I and II
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SSC MTS 2024 Official Paper (Held On: 01 Oct, 2024 Shift 1)
90 Qs. 150 Marks 90 Mins

Detailed Solution

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BODMAS Table: 

Given equation I: 55 + 42 – 36 × 20 ÷ 9 = 17

Now, if '20 and 36' are interchanged, then:

⇒ 55 + 42 – 20 × 36 ÷ 9 = 17

⇒ 55 + 42 – 20 × 4 = 17

⇒ 55 + 42 – 80 = 17

97 – 80 = 17

17 = 17.

LHS = RHS.

Given equation II: 20 ÷ 2 × 36 + 81 – 41 = 400

Now, if '20 and 36' are interchanged, then:

36 ÷ 2 × 20 + 81 – 41 = 400

18 × 20 + 81 – 41 = 400

⇒ 360 + 81 – 41 = 400

⇒ 441 – 41 = 400

400 = 400

LHS = RHS.

Here, Both I and II are correct equation after interchanging the given symbol.

Hence, the correct answer is "Option 3".

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