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

[{(14 @ 6) @ (2 @ 3)} @ (1 @ 7)] @ 2 @ 4

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SSC CGL 2022 Tier-I Official Paper (Held On : 12 Dec 2022 Shift 2)
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  1. ×, ÷, ×, ×, −, +, =
  2. −, +, ×, ×, ×, ×, =
  3. ×, −, +, ×, ÷, ×, =
  4. −, +, ×, ÷, ×, ×, =

Answer (Detailed Solution Below)

Option 4 : −, +, ×, ÷, ×, ×, =
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Detailed Solution

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BODMAS

Given statement : [{(14 @ 6) @ (2 @ 3)} @ (1 @ 7)] @ 2 @ 4

According to the question, after replacing the '@' signs:

So,

  • Option - (1) : ×, ÷, ×, ×, −, +, =

[{(14 × 6) ÷ (2 × 3)} × (1 − 7)] + 2 = 4 

[{84 ÷ 6} × (-6)] + 2 = 4

[14 × (-6)] + 2 = 4

-84 + 2 = 4

-82 ≠ 4 (LHS ≠ RHS)

  • Option - (2) : −, +, ×, ×, ×, ×, =

[{(14 − 6) + (2 × 3)} × (1 × 7)] × 2 = 4

[{8 + 6} × 7] × 2 = 4

[14 × 7] × 2 = 4

98 × 2 = 4

196 ≠ 4 (LHS ≠ RHS)

  • Option - (3) : ×, −, +, ×, ÷, ×, =

[{(14 × 6)(2 + 3)} × (1 ÷ 7)] × 2 = 4

[{84 - 5} × 0.14] × 2 = 4

[79 × 0.14] × 2 = 4

11.28 × 2 = 4

22.57 ≠ 4 (LHS ≠ RHS)

  • Option - (4) : −, +, ×, ÷, ×, ×, =

[{(14 − 6) + (2 × 3)} ÷ (1 × 7)] × 2 = 4

[{8 + 6} ÷ 7] × 2 = 4

[14 ÷ 7] × 2 = 4

2 × 2 = 4

4 = 4 (LHS = RHS)

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

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