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

11 * 13 * 238 * 17 * 34 = 123 

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SSC CGL 2023 Tier-I Official Paper (Held On: 20 Jul 2023 Shift 1)
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  1. + × - ÷
  2. × + ÷ -
  3. + ÷ × -
  4. ÷ - + ×

Answer (Detailed Solution Below)

Option 2 : × + ÷ -
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Detailed Solution

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Here, we use the BODMAS table given below:

qImage64ba0b8b597006c49aff316c

Given:

⇒ 11 * 13 * 238 * 17 * 34 = 123

(1) × - ÷

⇒ 11 * 13 * 238 * 17 * 34 = 123

After Putting the signs:

⇒ 11 + 13 × 238 - 17 ÷ 34 = 123

Apply BODMAS rule:

⇒ 11 + 13 × 238 - 0.5

⇒ 11 + 3094 - 0.5

⇒ 3105 - 0.5 = 3104.5

Here, the equation is not satisfied.

(2) × + ÷ -

⇒ 11 * 13 * 238 * 17 * 34 = 123

After Putting the signs:

⇒ 11 × 13 + 238 ÷ 17 - 34 = 123

Apply BODMAS rule:

11 × 13 + 14 - 34

⇒ 143 + 14 - 34

⇒ 157 - 34 = 123

Here, the equation is satisfied.

(3) ÷ × -

⇒ 11 * 13 * 238 * 17 * 34 = 123

After Putting the signs:

⇒ 11 + 13 ÷ 238 × 17 - 34 = 123

Apply BODMAS rule:

⇒ 11 + 0.054 × 17 - 34

⇒ 11 + 0.928 - 34

⇒ 11.928 - 34 = (-22.07)

Here, the equation is not satisfied.

(4) ÷ - + ×

⇒ 11 * 13 * 238 * 17 * 34 = 123

After Putting the signs:

11 ÷ 13 - 238 + 17 × 34 = 123

Apply BODMAS rule:

⇒ 0.846 - 238 + 17 × 34

⇒ 0.846 - 238 + 578

⇒ 578.846 - 238 = 340.84

Here, the equation is not satisfied.

Hence, the correct answer is "Option (2)".

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