Choose the correct sequence of mathematical signs to replace the placeholders in order to balance the given equation.

(12 * 7 * 6) * 13 * 6

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UP Police Constable Re-Exam 2024 Official Paper (Held On: 30 Aug 2024 Shift 1)
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  1. +, -, ÷, =
  2. ×, -, +, =
  3. ÷, +, -, = 
  4. ×, -, ÷, =

Answer (Detailed Solution Below)

Option 4 : ×, -, ÷, =
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Detailed Solution

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Given equation placeholders: (12 * 7 * 6) * 13 * 6

Option 1: +, -, ÷, =

(12 + 7 - 6) ÷ 13 = 6

(12 + 7 - 6) ÷ 13

= (19 - 6) ÷ 13

= 13 ÷ 13

= 1 ≠ 6 (Incorrect)

Option 2: ×, -, +,

(12 × 7 - 6) + 13 = 6

(12 × 7 - 6) + 13

= (84 - 6) + 13

= 78 + 13

= 91 ≠ 6 (Incorrect)

Option 3: ÷, +, -,

(12 ÷ 7 + 6) - 13 = 6

(12 ÷ 7 + 6) - 13

= (1.71 + 6) - 13

= 7.71 - 13 ≠ 6 (Incorrect)

Option 4: ×, -, ÷,

(12 × 7 - 6) ÷ 13 = 6

(12 × 7 - 6) ÷ 13

= (84 - 6) ÷ 13

= 78 ÷ 13

6 = 6 (Correct)

Thus, the given equation is "×, -, ÷, =".

Hence, the correct answer is "Option 4".

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