Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation. 7 * 5 * 4 * 2 * 3 * 7
Option 1: ÷, –, +, ×, =
Option 2: +, –, ÷, –, =
Option 3: ÷, +, ÷, +, =
Option 4: –, ÷, +, ×, =
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Correct Answer: +, –, ÷, –, =
Solution : Given: 7 * 5 * 4 * 2 * 3 * 7
Let's check the given options – First option: ÷, –, +, ×, = ⇒ 7 ÷ 5 – 4 + 2 × 3 = 7 Solving the L.H.S. of the equation – = 1.4 – 4 + 2 × 3 = 1.4 – 4 + 6 = 7.4 – 4 = 3.4 ≠ 7 Second option: +, –, ÷, –, = ⇒ 7 + 5 – 4 ÷ 2 – 3 = 7 Solving the L.H.S. of the equation – = 7 + 5 – 2 – 3 = 12 – 5 = 7 = R.H.S. Third option: ÷, +, ÷, +, = ⇒ 7 ÷ 5 + 4 ÷ 2 + 3 = 7 Solving the L.H.S. of the equation – = 1.4 + 2 + 3 = 6.4 ≠ 7 Fourth option: –, ÷, +, ×, = ⇒ 7 – 5 ÷ 4 + 2 × 3 = 7 Solving the L.H.S. of the equation – = 7 – 1.25 + 2 × 3 = 7 – 1.25 + 6 = 13 – 1.25 = 11.75 ≠ 7
So, only the second option satisfies the given equation. Hence, the second option is correct.
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