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

32 * 42 * 7 * 7 * 17 = 202 

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 17 Jul 2023 Shift 3)
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  1. ×, ÷, -, +
  2. ×, -, +, ÷ 
  3. +, ÷, ×, -
  4. +, ×, ÷, -

Answer (Detailed Solution Below)

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

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Given statement : 32 * 42 * 7 * 7 * 17 = 202 

According to the question, after replacing the * signs :

So,

  • Option - (1) : ×, ÷, -, +

32 * 42 * 7 * 7 * 17 = 202 ⇒ 32 × 42 ÷ 7 - 7 + 17 = 202 

32 × 6 - 7 + 17 = 202

192 + 17 - 7 = 202

209 - 7 = 202

202 = 202 (LHS = RHS)

  • Option - (2) : ×, -, +, ÷ 

32 * 42 * 7 * 7 * 17 = 202 ⇒ 32 × 42 - 7 + 7 ÷ 17 = 202

32 × 42 - 7 + 0.41 = 202

1344 + 0.41 - 7 = 202

1344.41 - 7 = 202

1337.41 ≠ 202 (LHS ≠ RHS)

  • Option - (3) : +, ÷, ×, -

32 * 42 * 7 * 7 * 17 = 202 ⇒ 32 + 42 ÷ 7 × 7 - 17 = 202

32 + 6 × 7 - 17 = 202

32 + 42 - 17 = 202

74 - 17 = 202

57 ≠ 202 (LHS ≠ RHS)

  • Option - (4) : +, ×, ÷, -

32 * 42 * 7 * 7 * 17 = 202 ⇒ 32 + 42 × 7 ÷ 7 - 17 = 202

32 + 42 × 1 - 17 = 202

32 + 42 - 17 = 202

74 - 17 = 202

57 ≠ 202 (LHS ≠ RHS)

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

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