Which two signs and two numbers should be interchanged in the following equation to make it correct?

40 - 220 ÷ 2 × 2 + 20 = 200

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 09 Dec 2022 Shift 1)
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  1. 20 and 40, + and -
  2. 2 and 20, ÷ and +
  3. 220 and 40, + and ×
  4. 220 and 20, ÷ and ×

Answer (Detailed Solution Below)

Option 1 : 20 and 40, + and -
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Detailed Solution

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Given Equation: 40 - 220 ÷ 2 × 2 + 20 = 200.

Now,  Interchanging two signs and two numbers,

1) 20 and 40, + and -

Given equation: 40 - 220 ÷ 2 × 2 + 20 = 200

After interchanging ‘20 and 40, + and -’, we get:

L.H.S = 20 + 220 ÷ 2 × 2 - 40

= 20 + 110 × 2 - 40

= 20 + 220 - 40

= 240 - 40

= 200 =  R.H.S.

2) 2 and 20, + and ×

Given equation: 40 - 220 ÷ 2 × 2 + 20 = 200

After interchanging ‘2 and 20, + and ×’, we get:

L.H.S = 40 - 220 ÷ 20 × 20 + 2

= 40 - 11 × 20 + 2

= 40 - 220 + 2

= 42 - 220

= -178  R.H.S.

3) 220 and 40,+ and ×

Given equation:40 - 220 ÷ 2 × 2 + 20 = 200

After interchanging ‘220 and 40,+ and ×’, we get:

L.H.S = 220 - 40 ÷ 2 + 2 × 20

= 220 - 20 + 2 × 20

= 220 - 20 + 40

= 260 - 20

= 240  ≠ R.H.S.

4) 220 and 20, ÷ and ×

Given equation:40 - 220 ÷ 2 × 2 + 20 = 200

After interchanging ‘220 and 20, ÷ and ×’, we get:

L.H.S = 40 - 20 × 2 ÷ 2 + 220 

= 40 - 20 × 1 + 220 

= 40 – 20 + 220

= 260 - 20

= 240 ≠ R.H.S.

Hence, "Option 1" is the correct answer.
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