Which two signs should be interchanged to make the given equation correct?

256 - 4 × 2 + 200 ÷ 19 = 309

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

Answer (Detailed Solution Below)

Option 3 : ÷ and -
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Detailed Solution

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Here, we use the BODMAS table given below:

Given:

⇒ 256 - 4 × 2 + 200 ÷ 19 = 309

(1) - and +

⇒ 256 - 4 × 2 + 200 ÷ 19 = 309

After interchanging the signs:

⇒ 256 + 4 × 2 - 200 ÷ 19 = 309

Apply BODMAS rule:

⇒ 256 + 4 × 2 - 10.52

⇒ 256 + 8 - 10.52

⇒ 264 - 10.52 = 253.48

Here, the equation is not satisfied.

(2) ÷ and +

⇒ 256 - 4 × 2 + 200 ÷ 19 = 309

After interchanging the signs:

⇒ 256 - 4 × 2 ÷ 200 + 19 = 309

Apply BODMAS rule:

⇒ 256 - 4 × 0.01 + 19

⇒ 256 - 0.04 + 19

⇒ 275 - 0.04 = 274.96

Here, the equation is not satisfied.

(3) ÷ and -

⇒ 256 - 4 × 2 + 200 ÷ 19 = 309

After interchanging the signs:

⇒ 256 ÷ 4 × 2 + 200 - 19 = 309

Apply BODMAS rule:

64 × 2 + 200 - 19

⇒ 128 + 200 - 19

⇒ 328 - 19 = 309

⇒ '256 ÷ 4 × 2 + 200 - 19 = 309'

Here, the equation is satisfied.

(4) + and ×

⇒ 256 - 4 × 2 + 200 ÷ 19 = 309

After interchanging the signs:

⇒ 256 - 4 + 2 × 200 ÷ 19 = 309

Apply BODMAS rule:

⇒ 256 - 4 + × 10.52

⇒ 256 - 4 + 21.05

⇒ 277.05 - 4 = 273.05

Here, the equation is not satisfied.

Hence, the correct answer is "Option (3)".

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