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

1 and 9

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SSC CGL 2022 Tier-I Official Paper (Held On : 09 Dec 2022 Shift 4)
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  1. 9 × 3 – 4 ÷ 2 + 1 = 10
  2. 1 + 9 × 3 – 4 ÷ 2 = 18
  3. 9 × 2 + 1 – 8 ÷ 4 = 12
  4. 9 – 1 + 6 ÷ 2 × 3 = 7

Answer (Detailed Solution Below)

Option 1 : 9 × 3 – 4 ÷ 2 + 1 = 10
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Detailed Solution

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The pattern followed here is:

Interchanging the given two numbers to find which of the following equation will be correct.

Let's check each option one by one:

Option 1) 9 × 3 – 4 ÷ 2 + 1 = 10

Given: 1 and 9

After interchanging the numbers we get the:

⇒ 1 × 3 – 4 ÷ 2 + 9 = 10

1 × 3 - 2 + 9 = 10

3 - 2 + 9 = 10

12 - 2 = 10

⇒ 10 = 10

⇒ LHS = RHS

Option 2) 1 + 9 × 3 – 4 ÷ 2 = 18

Given: 1 and 9

After interchanging the numbers we get the:

⇒ 9 + 1 × 3 – 4 ÷ 2 = 18

⇒ 9 + 1 × 3 - 2 = 18

9 + 3 - 2 = 18

12 - 2 = 18

⇒ 10 ≠ 18

⇒ LHS ≠ RHS

Option 3) 9 × 2 + 1 – 8 ÷ 4 = 12

Given: 1 and 9

After interchanging the numbers we get the:

⇒ 1 × 2 + 9 – 8 ÷ 4 = 12

1 × 2 + 9 - 2 = 12

2 + 9 - 2 = 12

⇒ 11 - 2 = 12

⇒ 9 ≠ 12

⇒ LHS ≠ RHS

Option 4) 9 – 1 + 6 ÷ 2 × 3 = 7

Given: 1 and 9

After interchanging the numbers we get the:

⇒ 1 – 9 + 6 ÷ 2 × 3 = 7

⇒ 1 - 9 + 3 × 3 = 7

1 - 9 + 9 = 7

⇒ 10 - 9 = 7

⇒ 1 ≠ 7

⇒ LHS ≠ RHS

Hence, the correct answer is "Option 1".

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