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

12 ÷ 5 - 8 × 2 + 14 = 70

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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:

qImage64ba0b8b597006c49aff316c

Given:

⇒ 12 ÷ 5 - 8 × 2 + 14 = 70

(1) - and +

⇒ 12 ÷ 5 - 8 × 2 + 14 = 70

After interchanging the signs:

⇒ 12 ÷ 5 + 8 × 2 - 14 = 70

Apply BODMAS rule:

⇒ 2.4 + 8 × 2 - 14

⇒ 2.4 + 16 - 14

⇒ 18.4 - 14 = 4.4

Here, the equation is not satisfied.

(2) + and ×

⇒ 12 ÷ 5 - 8 × 2 + 14 = 70

After interchanging the signs:

⇒ 12 ÷ 5 - 8 + 2 × 14 = 70

Apply BODMAS rule:

⇒ 2.4 - 8 + 2 × 14

⇒ 2.4 - 8 + 28

⇒ 30.4 - 8 = 22.4

Here, the equation is not satisfied.

(3) ÷ and ×

⇒ 12 ÷ 5 - 8 × 2 + 14 = 70

After interchanging the signs:

⇒ 12 × 5 - 8 ÷ 2 + 14 = 70

Apply BODMAS rule:

12 × 5 - 4 + 14

⇒ 60 - 4 + 14

⇒ 74 - 4 = 70

⇒ '12 × 5 - 8 ÷ 2 + 14 = 70'

Here, the equation is satisfied.

(4) ÷ and +

⇒ 12 ÷ 5 - 8 × 2 + 14 = 70

After interchanging the signs:

⇒ 12 + 5 - 8 × 2 ÷ 14 = 70

Apply BODMAS rule:

⇒ 12 + 5 - 8 × 0.142

⇒ 12 + 5 - 1.142

⇒ 17 - 1.142 = 15.85

Here, the equation is not satisfied.

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

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