Question : Directions: Select the correct combination of mathematical signs that can sequentially replace * signs and balance the given equation. 12 * 70 * 5 * 5 * 5 * 11 * 2
Option 1: +, –, ×, =, ×, +
Option 2: ×, +, +, –, ×, =
Option 3: ×, =, ×, ×, +, –
Option 4: ×, +, –, ×, =, ×
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Correct Answer: +, –, ×, =, ×, +
Solution : Given: 12 * 70 * 5 * 5 * 5 * 11 * 2
Let's check the options – First option: +, –, ×, =, ×, + ⇒ 12 + 70 – 5 × 5 = 5 × 11 + 2 L.H.S.→12 + 70 – 5 × 5 = 12 + 70 – 25 = 82 – 25 = 57 R.H.S.→5 × 11 + 2 = 55 + 2 = 57 L.H.S. = R.H.S. Second option: ×, +, +, –, ×, = ⇒ 12 × 70 + 5 + 5 – 5 × 11 = 2 L.H.S.→12 × 70 + 5 + 5 – 5 × 11 = 840 + 5 + 5 – 55 = 850 – 55 = 795 R.H.S.→2 L.H.S. ≠ R.H.S. Third option: ×, =, ×, ×, +, – ⇒ 12 × 70 = 5 × 5 × 5 + 11 – 2 L.H.S.→12 × 70 = 840 R.H.S.→5 × 5 × 5 + 11 – 2 = 125 + 11 – 2 = 136 – 2 = 134 L.H.S. ≠ R.H.S. Fourth option: ×, +, –, ×, =, × ⇒ 12 × 70 + 5 – 5 × 5 = 11 × 2 L.H.S.→12 × 70 + 5 – 5 × 5 = 840 + 5 – 25 = 845 – 25 = 820 R.H.S.→11 × 2 = 22 L.H.S. ≠ R.H.S.
So, only the first option satisfies the equation. Hence, the first option is correct.
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