Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation. 74 * 34 * 78 * 23 * 23 * 30
Option 1: ÷, –, +, ×, =
Option 2: +, ÷, ×, –, =
Option 3: +, –, +, –, =
Option 4: –, ÷, +, ×, =
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Correct Answer: +, –, +, –, =
Solution : Given: 74 * 34 * 78 * 23 * 23 * 30
Replace the * sign given in the equation with the assigned signs in the options one by one – First option: ÷, –, +, ×, = 74 ÷ 34 – 78 + 23 × 23 = 30 Solving the L.H.S. of the equation – = 2.17 – 78 + 23 × 23 = 2.17 – 78 + 529 = 453.17 ≠ 30 Second option: +, ÷, ×, –, = 74 + 34 ÷ 78 × 23 – 23 = 30 Solving the L.H.S. of the equation – = 74 + 0.435 × 23 – 23 = 74 + 10.005 – 23 = 61.005 ≠ 30 Third option: +, –, +, –, = 74 + 34 – 78 + 23 – 23 = 30 Solving the L.H.S. of the equation – = 131 – 101 = 30 Fourth option: –, ÷, +, ×, = 74 – 34 ÷ 78 + 23 × 23 = 30 Solving the L.H.S. of the equation – = 74 – 0.435 + 23 × 23 = 74 – 0.435 + 529 = 602.565 ≠ 30
So, only the third option satisfies the equation. Hence, the third option is correct.
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