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

10 ÷ 63 × 7 + 90 − 80 = 100

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SSC CPO 2024 Official Paper-I (Held On: 27 Jun, 2024 Shift 1)
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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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Let's check each option,

1) − and ÷

→ 10 - 63 × 7 + 90 ÷ 80 = 100

→ 10 - 63 × 7 + 9/8 = 100

10 - 441 + 9/8 = 100

→ 89/8 - 441 ≠ 100

LHS ≠ RHS

2) × and −

→ 10 ÷ 63 - 7 + 90 × 80 = 100

→ 10/63 - 7 + 90 × 80 = 100

→ 10/63 - 7 + 7200 ≠ 100

LHS ≠ RHS

3) + and −

→ 10 ÷ 63 × 7 - 90 + 80 = 100

10/63 × 7 - 90 + 80 = 100

10/9 - 90 + 80 = 100

→ 730/9 - 90 ≠ 100

LHS ≠ RHS

4) × and ÷

→ 10 × 63 ÷ 7 + 90 − 80 = 100

→ 10 × 9 + 90 − 80 = 100

90 + 90 − 80 = 100

→ 180 − 80 = 100

→ 100 = 100

LHS = RHS ⇒ Satisfies the equation.

Hence, the correct answer is "× and ÷".

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