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

16 * 31 * 18 * 2 * 11 * 494

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SSC CGL 2023 Tier-I Official Paper (Held On: 20 Jul 2023 Shift 3)
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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:

⇒ 16 * 31 * 18 * 2 * 11 * 494

(1) −, ×, +, ÷, =

⇒ 16 * 31 * 18 * 2 * 11 * 494

After putting the signs:

⇒ 16 - 31 × 18 + 2 ÷ 11 = 494

Apply BODMAS rule:

⇒ 16 - 31 × 18 + 0.1818

⇒ 16 - 558 + 0.1818

⇒ 16.18 - 558 = (-541.82)

Here, the equation is not satisfied.

(2) ÷, +, −, ×, =

⇒ 16 * 31 * 18 * 2 * 11 * 494

After putting the signs:

16 ÷ 31 + 18 - 2 × 11 = 494

Apply BODMAS rule:

⇒ 0.516 + 18 - 2 × 11

⇒ 0.516 + 18 - 22

⇒ 18.516 - 22 = 3.48

Here, the equation is not satisfied.

(3) +, −, ÷, ×, =

⇒ 16 * 31 * 18 * 2 * 11 * 494

After putting the signs:

⇒ 16 + 31 - 18 ÷ 2 × 11 = 494

Apply BODMAS rule:

⇒ 16 + 31 - 9 × 11

⇒ 16 + 31 - 99

⇒ 47 - 99 = (-52)

Here, the equation is not satisfied.

(4) ×, +, ÷, −, =

⇒ 16 * 31 * 18 * 2 * 11 * 494

After putting the signs:

⇒ 16 × 31 + 18 ÷ 2 - 11 = 494

Apply BODMAS rule:

16 × 31 + 9 - 11

⇒ 496 + 9 - 11

⇒ 505 - 11 = 494

⇒ '16 × 31 + 18 ÷ 2 - 11 = 494'

Here, the equation is satisfied.

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

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