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

17 * 21 * 7 * 5 * 4 * 34

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SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 3)
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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:

⇒ 17 * 21 * 7 * 5 * 4 * 34

(1) ÷, -, +, ×, =

⇒ 17 * 21 * 7 * 5 * 4 * 34

After putting the signs:

⇒ 17 ÷ 21 - 7 + 5 × 4 = 34

Apply BODMAS rule:

⇒ 0.809 - 7 + 5 × 4

⇒ 0.809 - 7 + 20

⇒ 20.809 - 7 = 13.809

Here, the equation is not satisfied.

(2) -, ÷, +, ×, =

⇒ 17 * 21 * 7 * 5 * 4 * 34

After putting the signs:

⇒ 17 - 21 ÷ 7 + 5 × 4 = 34

Apply BODMAS rule:

⇒ 17 - 3 + 5 × 4

⇒ 17 - 3 + 20

⇒ 37 - 3 = 34

⇒ '17 - 21 ÷ 7 + 5 × 4 = 34'

Here, the equation is satisfied.

(3) +, ×, ÷, -, =

⇒ 17 * 21 * 7 * 5 * 4 * 34

After putting the signs:

⇒ 17 + 21 × 7 ÷ 5 - 4 = 34

Apply BODMAS rule:

⇒ 17 + 21 × 1.4 - 5

⇒ 17 + 29.4 - 5

⇒ 46.4 - 5 = 41.4

Here, the equation is not satisfied.

(4) ×, -, ÷, +, =

⇒ 17 * 21 * 7 * 5 * 4 * 34

After putting the signs:

⇒ 17 × 21 - 7 ÷ 5 + 4 = 34

Apply BODMAS rule:

⇒ 17 × 21 - 1.4 + 4

⇒ 357 - 1.4 + 4

⇒ 361 - 1.4 = 359.6

Here, the equation is not satisfied.

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

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