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

(50 ÷ 3) × 15 + 25 − 10 = 25

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 3)
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  1. ÷ and − 
  2. + and ×
  3. ÷ and ×
  4. + and − 

Answer (Detailed Solution Below)

Option 3 : ÷ and ×
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Detailed Solution

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The pattern followed here is:

In this question, two signs should be interchanged to make the given equation correct.

Given: (50 ÷ 3) × 15 + 25 − 10 = 25

Option 1) ÷ and -

After interchanging the two signs we get the;

⇒ (50 - 3) × 15 + 25 ÷ 10 = 25

⇒ 47 × 15 + 25 ÷ 10 = 25

47 × 15 + 2.5 = 25

⇒ 705 + 2.5 = 25

⇒ 707.5 ≠ 25

⇒ LHS ≠ RHS

Option 2) + and × 

After interchanging the two signs we get the;

⇒ (50 ÷ 3) + 15 × 25 − 10 = 25

⇒ 16.66 + 15 × 25 - 10 = 25

16.66 + 375 - 10 = 25

391.66 - 10 = 25

⇒ 381.66 ≠ 25

⇒ LHS ≠ RHS

Option 3) ÷ and × 

After interchanging the two signs we get the;

⇒ (50 × 3) ÷ 15 + 25 − 10 = 25

150 ÷ 15 + 25 - 10 = 25

10 + 25 - 10 = 25

35 - 10 = 25

⇒ 25 = 25

⇒ LHS = RHS

Option 4) + and − 

After interchanging the two signs we get the;

⇒ (50 ÷ 3) × 15 - 25 + 10 = 25

16.66 * 15 - 25 + 10 = 25

249.9 - 25 + 10 = 25

⇒ 259.9 - 25 = 25

​⇒ 234.9 ≠ 25

​⇒ LHS ≠ RHS

Hence, the correct answer is "Option 3".

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