Question : Directions: Select the correct combination of mathematical signs that can sequentially replace the * signs from left to right to balance the following equation. 30 * 3 * 16 * 4 * 24 * 70
Option 1: ×, ÷, +, –, =
Option 2: ÷, ×, –, +, =
Option 3: ×, +, ÷, –, =
Option 4: +, ×, –, ÷, =
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Correct Answer: ×, +, ÷, –, =
Solution : Given: 30 * 3 * 16 * 4 * 24 * 70
Let's check each option – First Option: ×, ÷, +, –, = 30 × 3 ÷ 16 + 4 – 24 = 70 Solving the L.H.S. of the given equation – = 30 × 0.1875 + 4 – 24 = 5.625 + 4 – 24 = –14.375 ≠ 70 Second Option: ÷, ×, –, +, = 30 ÷ 3 × 16 – 4 + 24 = 70 Solving the L.H.S. of the given equation – = 10 × 16 – 4 + 24 = 160 – 4 + 24 = 180 ≠ 70 Third Option: ×, +, ÷, –, = 30 × 3 + 16 ÷ 4 – 24 = 70 Solving the L.H.S. of the given equation – = 30 × 3 + 4 – 24 = 90 + 4 – 24 = 70 Fourth Option: +, ×, –, ÷, = 30 + 3 × 16 – 4 ÷ 24 = 70 Solving the L.H.S. of the given equation – = 30 + 3 × 16 – 0.167 = 30 + 48 – 0.167 = 77.833 ≠ 70
So, only the third option satisfies the equation. Hence, the third option is correct.
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