By Interchanging the given two numbers which of the following equation will be correct?
7 and 3

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SSC CGL 2022 Tier-I Official Paper (Held On : 08 Dec 2022 Shift 4)
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  1. 3 ÷ 1 – 7 × 2 + 4 = 8
  2. 3 × 2 + 7 – 6 ÷ 3 = 18
  3. 3 + 7 × 4 – 6 ÷ 2 = 20
  4. 7 + 3 × 2 – 4 ÷ 1 = 13

Answer (Detailed Solution Below)

Option 4 : 7 + 3 × 2 – 4 ÷ 1 = 13
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Detailed Solution

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Given:

Interchange 7 and 3.

Calculation:

Let us check each option:

Option 1: 3 ÷ 1 – 7 × 2 + 4 = 8

After interchanging: 7 ÷ 1 – 3 × 2 + 4 = 8

⇒ 7 ÷ 1 3 × 2 + 4 = 8

⇒ 7 - 6 + 4 = 8

⇒ 5 ≠ 8

This is not correct the equation.

Option 2: 3 × 2 + 7 – 6 ÷ 3 = 18

After interchanging: 7 × 2 + 3 – 6 ÷ 7 = 18

7 × 2 + 3 – 6 ÷ 7 = 18

 14 + 3 - 0. 85  = 18

 16.15  ≠ 18

This is not correct the equation.

Option 3: 3 + 7 × 4 – 6 ÷ 2 = 20 

After interchanging: 7 + 3 × 4 – 6 ÷ 2 = 20

⇒ 7 + 3 × 46 ÷ 2 = 20

⇒ 7 +12 - 3 = 20

 16 ≠ 20

This is not correct the equation.

Option 4: 7 + 3 × 2 – 4 ÷ 1 = 13

After interchanging: 3 + 7 × 2 – 4 ÷ 1 = 13

⇒ 3 + 7 × 2 – 4 ÷ 1 = 13

3 + 14 - 4 = 13

 13 = 13

This is correct the equation.

Hence, 'Option 4' is the correct answer.

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