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

7 and 4

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SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 2)
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  1. 8 ÷ 6 × 9 + 7 - 4 = 12
  2. 7 × 8 + 4 - 6 ÷ 3 = 37
  3. 9 - 4 × 3 + 6 × 7 ÷ 1 = 12
  4. 4 × 8 - 9 ÷ 3 + 7 = 57

Answer (Detailed Solution Below)

Option 1 : 8 ÷ 6 × 9 + 7 - 4 = 12
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Detailed Solution

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The pattern followed here is:

Here, interchange the given two numbers and find which of the following equation will be not correct.

Let's check each option one by one.

Option 1) 8 ÷ 6 × 9 + 7 - 4 = 12

Given: 7 and 4

After interchanging the numbers we get the;

⇒ 8 ÷ 6 × 9 + 4 - 7 = 12

1.33 × 9 + 4 - 7 = 12

11.97 + 4 - 7 = 12

15.94 - 7 = 12

⇒8.94 ≠ 12. 

⇒ LHS ≠ RHS. (Incorrect)

Option 2) 7 × 8 + 4 - 6 ÷ 3 = 37

Given: 7 and4

After interchanging the numbers we get the;

⇒ 4 × 8 + 7 - 6 ÷ 3 = 37

4 × 8 + 7 - 2 = 37

32 + 7 - 2 = 37

39 - 2 = 37

⇒ 37 = 37

⇒ LHS = RHS (Correct)

Option 3) 9 - 4 × 3 + 6 × 7 ÷ 1 = 12

Given: 7 and 4

After interchanging the numbers we get the;

⇒ 9 - 7 × 3 + 6 × 4 ÷ 1 = 12

⇒ 9 - 7 × 3 + 6 × 4 = 12

9 - 21 + 24 = 12

⇒ 33 - 21 = 12

⇒ 12 = 12

⇒ LHS = RHS. (Correct)

Option 4) 4 × 8 - 9 ÷ 3 + 7 = 57

Given: 7 and 4

After interchanging the numbers we get the;

⇒ 7 × 8 - 9 ÷ 3 + 4 = 57

7 × 8 - 3 + 4 = 57

56 - 3 + 4 = 57

60 - 3 = 57

⇒57 = 57

⇒ LHS = RHS. (Correct)

So, the option 1 equation in not correct.

Hence, the correct answer is "Option 1".

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