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

95 * 5 + 19 ÷ 2 − 21 = 36

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SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 3)
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  1. ÷ and *
  2. + and -
  3. ÷ and -
  4. + and *

Answer (Detailed Solution Below)

Option 1 : ÷ and *
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Detailed Solution

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BODMAS

Given statement : 95 * 5 + 19 ÷ 2 − 21 = 36

According to the question, after interchanging the signs:

So,

  • Option - (1) : ÷ and *

Given statement : 95 * 5 + 19 ÷ 2 − 21 = 36

95 ÷ 5 + 19 × 2 − 21 = 36

19 + 19 × 2 − 21 = 36

19 + 38 - 21 = 36

57 - 21 = 36

36 = 36 (LHS = RHS)

  • Option - (2) : + and -

Given statement : 95 * 5 + 19 ÷ 2 − 21 = 36

After interchanging:

95 × 5 - 19 ÷ 2 + 21 = 36

95 × 5 - 9.5 + 21 = 36

475 + 21 - 9.5 = 36

496 - 9.5 = 36

486.5 ≠ 36 (LHS ≠ RHS)

  • Option - (3) : ÷ and −

Given statement : 95 * 5 + 19 ÷ 2 − 21 = 36

After interchanging:

95 × 5 + 19 - 2 ÷ 21 = 36

95 × 5 + 19 - 0.095 = 36

475 + 19 - 0.095 = 36

494 - 0.095 = 36

493.9 ≠ 36 (LHS ≠ RHS)

  • Option - (4) : + and *

Given statement : 95 * 5 + 19 ÷ 2 − 21 = 36

After interchanging:

95 + 5 × 19 ÷ 2 − 21 = 36

95 + 5 × 7.5 - 21 = 36

95 + 37.5 - 21 = 36

132.5 - 21 = 36

111.5 36 (LHS RHS)

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

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