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

60 × 3 + 660 ÷ 6 – 20 = 290

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 09 Dec 2022 Shift 2)
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  1. 6 and 660, × and ÷
  2. 20 and 6, + and -
  3. 20 and 60, + and × 
  4. 20 and 660, + and ÷

Answer (Detailed Solution Below)

Option 3 : 20 and 60, + and × 
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Detailed Solution

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Given:

60 × 3 + 660 ÷ 6 – 20 = 290

Calculation:

By option Method:

Option 1: exchange 6 and 660, × and ÷

⇒ 60 ÷ 3 + 6 x 660 – 20 = 290

⇒ 20 + 3960 - 20 = 290 

⇒ 3960 ≠ 290

This is not correct the equation.

Option 2: exchange 20 and 6, + and -

⇒ 60 × 3660 ÷ 20 + 6 = 290

180 - 33 + 6 = 290

 153  ≠ 290

This is not correct the equation.

Option 3: exchange 20 and 60, + and × 

⇒ 20 + 3 x 660 ÷ 6 – 60 = 290

⇒ 20 + 330 -60 = 290

 290 = 290

This is correct the equation.

Option 4: exchange 20 and 660, + and ÷

⇒ 60 × 3 ÷ 20 + 6 – 660 = 290

9 + 6 - 660 = 290

 -645 ≠ 290

This is not correct the equation.

Hence, 'Option 3' is the correct answer.

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