Which two signs should be interchanged to make the given equation correct? 

81 × 9 + 15 ÷ 3 – 4 = 50

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. − and ×
  2. + and −
  3. ÷ and −
  4. ÷ and ×

Answer (Detailed Solution Below)

Option 4 : ÷ and ×
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Detailed Solution

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The pattern followed here is:

Find which two signs should be interchanged to make the given equation correct.

Let's check each option one by one.

Option 1) − and ×

Given: 81 × 9 + 15 ÷ 3 – 4 = 50

After interchanging the signs we get the;

⇒ 81 - 9 + 15 ÷ 3 × 4 = 50

⇒ 81 - 9 + 3 × 4 = 50

81 - 9 + 12 = 50

93 - 9 = 50

⇒ 84 ≠ 50

⇒ LHS ≠ RHS

Option 2) + and −

Given: 81 × 9 + 15 ÷ 3 – 4 = 50

After interchanging the signs we get the;

⇒ 81 × 9 - 15 ÷ 3 + 4 = 50

81 × 9 - 5 + 4 = 50

729 - 5 + 4 = 50

733 - 5 = 50

⇒ 728 ≠ 50

⇒ LHS ≠ RHS

Option 3) ÷ and −

Given: 81 × 9 + 15 ÷ 3 – 4 = 50

After interchanging the signs we get the;

⇒ 81 × 9 + 15 - 3 ÷ 4 = 50

81 × 9 + 15 - 0.75 = 50

729 + 15 - 0.75 = 50

⇒ 744 - 0.75 = 50

⇒ 743.25 ≠ 50

⇒ LHS ≠ RHS

Option 4) ÷ and ×

Given: 81 × 9 + 15 ÷ 3 – 4 = 50

After interchanging the signs we get the;

⇒ 81 ÷ 9 + 15 × 3 – 4 = 50

⇒ 9 + 15 × 3 - 4 = 50

9 + 45 - 4 = 50

⇒ 54 - 4 = 50

⇒ 50 = 50

⇒ LHS = RHS

Hence, the correct answer is "Option 4".

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