By Interchanging the given two numbers which of the following equation will be not correct?

4 and 2

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SSC CGL 2022 Tier-I Official Paper (Held On : 12 Dec 2022 Shift 4)
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  1. 4 × 3 - 8 ÷ 2 + 7 = 11
  2. 8 ÷ 4 × 2 - 6 + 9 = 18
  3. 4 - 8 × 3 + 2 ÷ 1 = –18
  4. 6 × 4 - 8 ÷ 2 + 7 = 17

Answer (Detailed Solution Below)

Option 2 : 8 ÷ 4 × 2 - 6 + 9 = 18
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Detailed Solution

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The pattern followed here is:

Interchanging the given two numbers and find which the following equation will not correct.

Let's check each option one by one.

Option 1) 4 × 3 - 8 ÷ 2 + 7 = 11

Given: 4 and 2

⇒ 2 × 3 - 8 ÷ 4 + 7 = 11

2 × 3 - 2 + 7 = 11

6 - 2 + 7 = 11

13 - 2 = 11

⇒ 11 = 11

Option 2) 8 ÷ 4 × 2 - 6 + 9 = 18

Given: 4 and 2

⇒ 8 ÷ 2 × 4 - 6 + 9 = 18

⇒ 4 × 4 - 6 + 9 = 18

16 - 6 + 9 = 18

⇒ 25 - 6 = 18

⇒ 19 ≠ 18 

Option 3) 4 - 8 × 3 + 2 ÷ 1 = –18

Given: 4 and 2

⇒ 2 - 8 × 3 + 4 ÷ 1 = –18

⇒ 2 - 8 × 3 + 4 = - 18

2 - 24 + 4 = - 18

6 - 24 = - 18

⇒ - 18 = - 18

Option 4) 6 × 4 - 8 ÷ 2 + 7 = 17

Given: 4 and 2

⇒ 6 × 2 - 8 ÷ 4 + 7 = 17

6 × 2 - 2 + 7 = 17

12 - 2 + 7 = 17

19 - 2 = 17

⇒ 17 = 17

Hence, the correct answer is "Option 2".

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