Question : Directions: Choose one of the following correct combinations of mathematical signs that can be filled to balance the following equation. 86 * 42 * 12 * 3 * 12 * 3 * 4
Option 1: +, –, ÷, ×, =, +
Option 2: –, –, ÷, =, ×, +
Option 3: –, +, ÷, ×, =, +
Option 4: –, +, ×, =, ÷, +
Correct Answer: –, –, ÷, =, ×, +
Solution : Given: 86 * 42 * 12 * 3 * 12 * 3 * 4
Let's check each option – First option: +, –, ÷, ×, =, + 86 + 42 – 12 ÷ 3 × 12 = 3 + 4 L.H.S. = 86 + 42 – 12 ÷ 3 × 12 = 86 + 42 – 4 × 12 = 86 + 42 – 48 = 80 R.H.S. = 3 + 4 = 7 L.H.S. ≠ R.H.S. Second option: –, –, ÷, =, ×, + 86 – 42 – 12 ÷ 3 = 12 × 3 + 4 L.H.S. = 86 – 42 – 12 ÷ 3 = 86 – 42 – 4 = 40 R.H.S. = 12 × 3 + 4 = 36 + 4 = 40 L.H.S. = R.H.S. Third option: –, +, ÷, ×, =, + 86 – 42 + 12 ÷ 3 × 12 = 3 + 4 L.H.S. = 86 – 42 + 12 ÷ 3 × 12 = 86 – 42 + 4 × 12 = 86 – 42 + 48 = 92 R.H.S. = 3 + 4 = 7 L.H.S. ≠ R.H.S. Fourth option: –, +, ×, =, ÷, + 86 – 42 + 12 × 3 = 12 ÷ 3 + 4 L.H.S. = 86 – 42 + 12 × 3 = 86 – 42 + 36 = 80 R.H.S. = 12 ÷ 3 + 4 = 4 + 4 = 8 L.H.S. ≠ R.H.S.
So, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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Question : Directions: Select the correct combination of mathematical signs to replace * signs and to balance the following equation. 86 * (5 * 8 * 4) * 9 * 85
Option 1: –, ×, ÷, +, =
Option 2: +, ×, ÷, –, =
Option 3: +, –, ×, ÷, =
Option 4: ÷, –, ×, +, =
Question : Directions: Select the correct combination of mathematical signs that can sequentially replace the * signs from left to right to balance the following equation. 24 * 12 * 35 * 24 * 6 * 319
Option 1: +, –, ÷, ×, =
Option 2: ×, +, –, ÷, =
Option 3: ÷, +, –, ×, =
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Option 1: +, ÷, ×, –
Option 2: ÷, +, ×, –
Option 3: ×, +, –, ÷
Option 4: ÷, –, ×, +
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Option 1: +, ×, =, +, ÷, +
Option 2: ÷, –, =, ÷, ×, –
Option 3: ×, +, –, =, ÷, +
Option 4: ×, –, =, +, ÷, +
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Option 1: ×, –, +, ÷, =
Option 2: –, ÷, +, ×, =
Option 3: ×, ÷, +, –, =
Option 4: –, ×, ÷, +, =
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