Question : Directions: Select the correct combination of mathematical signs to replace the * signs and balance the given equation. 66 * 6 * 12 * 3 * 15 = 12
Option 1: ÷, −, ×, +
Option 2: +, −, ÷, ×
Option 3: ÷, ×, +, −
Option 4: ×, −, ÷, +
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Correct Answer: +, −, ÷, ×
Solution : Given: 66 * 6 * 12 * 3 * 15 = 12
Let's check the options – First option: ÷, −, ×, + ⇒ 66 ÷ 6 – 12 × 3 + 15 = 12 Solving the L.H.S. of the equation – = 66 ÷ 6 – 12 × 3 + 15 = 11 – 12 × 3 + 15 = 11 – 36 + 15 = 26 – 36 = –10 ≠ 12 Second option: +, −, ÷, × ⇒ 66 + 6 – 12 ÷ 3 × 15 = 12 Solving the L.H.S. of the equation – = 66 + 6 – 12 ÷ 3 × 15 = 66 + 6 – 4 × 15 = 66 + 6 – 60 = 72 – 60 = 12 Third option: ÷, ×, +, − ⇒ 66 ÷ 6 × 12 + 3 – 15 = 12 Solving the L.H.S. of the equation – = 66 ÷ 6 × 12 + 3 – 15 = 11 × 12 + 3 – 15 = 132 + 3 – 15 = 135 – 15 = 120 ≠ 12 Fourth option: ×, −, ÷, + ⇒ 66 × 6 – 12 ÷ 3 + 15 = 12 Solving the L.H.S. of the equation – = 66 × 6 – 12 ÷ 3 + 15 = 66 × 6 – 4 + 15 = 396 – 4 + 15 = 411 – 4 = 407 ≠ 12
So, only the second option satisfies the given equation. Hence, the second option is correct.
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