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

+ and –, 6 and 3

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 09 Dec 2022 Shift 4)
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  1. 8 – 3 × 4 ÷ 6 + 9 = 18
  2. 8 + 4 × 6 ÷ 3 – 9 = 15
  3. 9 ÷ 3 × 4 – 6 + 7 = 10
  4. 6 ÷ 2 × 8 + 3 – 1 = 20

Answer (Detailed Solution Below)

Option 2 : 8 + 4 × 6 ÷ 3 – 9 = 15
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Detailed Solution

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The pattern followed here is:

We have to find after interchanging the given two signs and numbers which of the following equation will be correct.

Given: + and –, 6 and 3

Let's check each option one by one.

Option 1) 8 – 3 × 4 ÷ 6 + 9 = 18

Given: + and –, 6 and 3

After interchanging the given two signs and numbers we get the;

⇒ 8 + 6 × 4 ÷ 3 - 9 = 18

⇒ 8 + 6 × 1.33 - 9 = 18

8 + 8 - 9 = 18

16 - 9 = 18

⇒ 7 ≠ 18

⇒ LHS ≠ RHS

Option 2) 8 + 4 × 6 ÷ 3 – 9 = 15

Given: + and –, 6 and 3

After interchanging the given two signs and numbers we get the;

⇒ 8 - 4 × 3 ÷ 6 + 9 = 15

⇒ 8 - 4 × 0.5 + 9 = 15

8 - 2 + 9 = 15

17 - 2 = 15

⇒ 15 = 15

⇒ LHS = RHS

Option 3) 9 ÷ 3 × 4 – 6 + 7 = 10

Given: + and –, 6 and 3

After interchanging the given two signs and numbers we get the;

⇒ 9 ÷ 6 × 4 + 3 - 7 = 10

1.5 × 4 + 3 - 7 = 10

6 + 3 - 7 = 10

9 - 7 = 10

⇒ 2 ≠ 10

⇒ LHS ≠ RHS

Option 4) 6 ÷ 2 × 8 + 3 – 1 = 20

Given: + and –, 6 and 3

After interchanging the given two signs and numbers we get the;

3 ÷ 2 × 8 - 6 + 1 = 20

1.5 × 8 - 6 + 1 = 20

12 - 6 + 1 = 20

13 - 6 = 20

⇒ 7 ≠ 20

⇒ LHS ≠ RHS

Hence, the correct answer is "Option 2".

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