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

321 * 3 * 236 * 5 * 248 * 4 * 20 = 384 

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SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 2)
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  1. +, -, ×, +, ÷, ×
  2. -, +, ×, -, ÷, +
  3. ÷, +, -, ×, +, -
  4. ×, +, -, ÷, +, -

Answer (Detailed Solution Below)

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

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Here, we use the BODMAS table given below:

qImage64ba0b8b597006c49aff316c

Given:

⇒ 321 * 3 * 236 * 5 * 248 * 4 * 20 = 384

(1) +, -, ×, +, ÷, ×

⇒ 321 * 3 * 236 * 5 * 248 * 4 * 20 = 384

After putting the signs:

⇒ 321 + 3 - 236 × 5 + 248 ÷ 4 × 20 = 384

Apply BODMAS rule:

⇒ 321 + 3 - 236 × 5 + 62 × 20

⇒ 321 + 3 - 1180 + 1240

⇒ 1564 - 1180 = 384

⇒ '321 + 3 - 236 × 5 + 248 ÷ 4 × 20 = 384'

Here, the equation is satisfied.

(2) -, +, ×, -, ÷, +

⇒ 321 * 3 * 236 * 5 * 248 * 4 * 20 = 384

After putting the signs:

⇒ 321 - 3 + 236 × 5 - 248 ÷ 4 + 20 = 384

Apply BODMAS rule:

⇒ 321 - 3 + 236 × 5 - 62 + 20

⇒ 321 - 3 + 1180 - 62 + 20

⇒ 1521 - 65 = 1456

Here, the equation is not satisfied.

(3) ÷, +, -, ×, +, -

⇒ 321 * 3 * 236 * 5 * 248 * 4 * 20 = 384

After putting the signs:

321 ÷ 3 + 236 - 5 × 248 + 4 - 20 = 384

Apply BODMAS rule:

⇒ 107 + 236 - 5 × 248 + 4 - 20

⇒ 107 + 236 - 1240 + 4 - 20

⇒ 347 - 1260 = (-913)

Here, the equation is not satisfied.

(4) ×, +, -, ÷, +, -

⇒ 321 * 3 * 236 * 5 * 248 * 4 * 20 = 384

After putting the signs:

⇒ 321 × 3 + 236 - 5 ÷ 248 + 4 - 20 = 384

Apply BODMAS rule:

321 × 3 + 236 - 0.0201 + 4 - 20

⇒ 963 + 236 - 0.0201 + 4 - 20

⇒ 1203 - 20.02 = 1182.97

Here, the equation is not satisfied.

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

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