By interchanging the given two numbers which of the following equation will be correct?

7 and 4

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 2)
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  1. 4 - 7 + 6 ÷ 2 × 3 = 12
  2. 4 × 3 + 7 - 9 ÷ 3 = 20
  3. 7 + 4 × 2 - 6 ÷ 2 = 17
  4. 7 + 5 × 2 - 4 ÷ 1 = 9

Answer (Detailed Solution Below)

Option 1 : 4 - 7 + 6 ÷ 2 × 3 = 12
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Detailed Solution

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The pattern followed here is:

Let's check each option one by one:

Given: 7 and 4

Option 1) 4 - 7 + 6 ÷ 2 × 3 = 12

After interchanging the number we get the;

⇒ 7 - 4 + 6 ÷ 2 × 3 = 12

⇒ 7 - 4 + 3 × 3 = 12

7 - 4 + 9 = 12

⇒ 16 - 4 = 12

⇒ 12 = 12

⇒ LHS = RHS

Option 2) 4 × 3 + 7 - 9 ÷ 3 = 20

After interchanging the number we get the;

⇒ 7 × 3 + 4 - 9 ÷ 3 = 20

7 × 3 + 4 - 3 = 20

21 + 4 - 3 = 20

⇒ 25 - 3 = 20

⇒ 22 ≠ 20

⇒ LHS ≠ RHS

Option 3) 7 + 4 × 2 - 6 ÷ 2 = 17

After interchanging the number we get the;

⇒ 4 + 7 × 2 - 6 ÷ 2 = 17

⇒ 4 + 7 × 2 - 3 = 17

4 + 14 - 3 = 17

⇒ 18 - 3 = 17

⇒ 15 ≠ 17

⇒ LHS ≠ RHS

Option 4) 7 + 5 × 2 - 4 ÷ 1 = 9

After interchanging the number we get the;

⇒ 4 + 5 × 2 - 7 ÷ 1 = 9

⇒ 4 + 5 × 2 - 7 = 9

4 + 10 - 7 = 9

14 - 7 = 9

⇒ 7 ≠ 9

⇒ LHS ≠ RHS

Hence, the correct answer is "Option 1".

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