Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation. 25 * 82 * 12 * 6 * 8 * 91
Option 1: –, ×, +, ÷, =
Option 2: ÷, +, –, ×, =
Option 3: +, –, ÷, ×, =
Option 4: ×, +, ÷, –, =
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Correct Answer: +, –, ÷, ×, =
Solution : Given: 25 * 82 * 12 * 6 * 8 * 91
Replace the * sign given in the equation with the assigned signs in the options one by one – First option: –, ×, +, ÷, = 25 – 82 × 12 + 6 ÷ 8 = 91 Solving the L.H.S. of the equation – = 25 – 82 × 12 + 0.75 = 25 – 984 + 0.75 = –958.25 ≠ 91 Second option: ÷, +, –, ×, = 25 ÷ 82 + 12 – 6 × 8 = 91 Solving the L.H.S. of the equation – = 0.304 + 12 – 6 × 8 = 0.304 + 12 – 48 = –35.696 ≠ 91 Third option: +, –, ÷, ×, = 25 + 82 – 12 ÷ 6 × 8 = 91 Solving the L.H.S. of the equation – = 25 + 82 – 2 × 8 = 25 + 82 – 16 = 91 Fourth option: ×, +, ÷, –, = 25 × 82 + 12 ÷ 6 – 8 = 91 Solving the L.H.S. of the equation – = 25 × 82 + 2 – 8 = 2050 + 2 – 8 = 2044 ≠ 91
So, only the third option satisfies the equation. Hence, the third option is correct.
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