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

55 * 63 * 9 * 8 * 3 = 38

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SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 2)
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  1. ÷, ×, -, +
  2. ×, ÷, +, -
  3. +, -, ×, ÷
  4. +, ÷, -, ×

Answer (Detailed Solution Below)

Option 4 : +, ÷, -, ×
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Detailed Solution

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Here, we use the BODMAS table given below:

qImage64ba0b8b597006c49aff316c

Given:

⇒ 55 * 63 * 9 * 8 * 3 = 38

(1) ÷, ×, -, +

⇒ 55 * 63 * 9 * 8 * 3 = 38

After putting the signs:

55 ÷ 63 × 9 - 8 + 3 = 38

Apply BODMAS rule:

⇒ 0.873 × 9 - 8 + 3

⇒ 7.857 - 8 + 3

⇒ 10.857 - 8 = 2.857

Here, the equation is not satisfied.

(2) ×, ÷, +, -

⇒ 55 * 63 * 9 * 8 * 3 = 38

After putting the signs:

⇒ 55 × 63 ÷ 9 + 8 - 3 = 38

Apply BODMAS rule:

55 × 7 + 8 - 3

⇒ 385 + 8 - 3

⇒ 393 - 3 = 390

Here, the equation is not satisfied.

(3) +, -, ×, ÷

⇒ 55 * 63 * 9 * 8 * 3 = 38

After putting the signs:

⇒ 55 + 63 - 9 × 8 ÷ 3 = 38

Apply BODMAS rule:

⇒ 55 + 63 - 9 × 2.66

⇒ 55 + 63 - 23.94

⇒ 118 - 23.94 = 94.06

Here, the equation is not satisfied.

(4) +, ÷, -, ×

⇒ 55 * 63 * 9 * 8 * 3 = 38

After putting the signs:

⇒ 55 + 63 ÷ 9 - 8 × 3 = 38

Apply BODMAS rule:

⇒ 55 + 7 - 8 × 3

⇒ 55 + 7 - 24

⇒ 62 - 24 = 38

⇒ '55 + 63 ÷ 9 - 8 × 3 = 38'

Here, the equation is satisfied.

Hence, the correct answer is "Option (4)".

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