Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.

50 * 10 * 20 * 5 * 105

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 1)
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  1. ÷, ×, +, =
  2. ×, -, +, =
  3. ÷, ×, -, =
  4. ×, ÷, +, =

Answer (Detailed Solution Below)

Option 1 : ÷, ×, +, =
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Detailed Solution

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BODMAS

Given equation : 50 * 10 * 20 * 5 * 105

According to the question, by replacing the * signs:

So,

  • Option - (1) : ÷, ×, +, =

50 ÷ 10 × 20 + 5 = 105

× 20 + 5 = 105

100 + 5 = 105

105 = 105 (LHS = RHS)

  • Option - (2) : ×, -, +, =

50 × 10 - 20 + 5 = 105

500 + 5 - 20 = 105

505 - 20 = 105

485 ≠ 105 (LHS ≠ RHS)

  • Option - (3) : ÷, ×, -, =

50 ÷ 10 × 20 - 5 = 105

5 × 20 - 5 = 105

100 - 5 = 105

95 ≠ 105 (LHS ≠ RHS)

  • Option - (4) : ×, ÷, +, =

50 × 10 ÷ 20 + 5 = 105

50 × 0.5 + 5 = 105

25 + 5 = 105

30 ≠ 105 (LHS ≠ RHS)

Hence, "Option - (1)" is the correct answer.

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