Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation. 65 * 45 * 25 * 5 * 35 * 60
Option 1: −, +, −, +, =
Option 2: +, ×, +, −, =
Option 3: +, −, +, −, =
Option 4: −, +, ÷, +, =
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Correct Answer: −, +, ÷, +, =
Solution : Given: 65 * 45 * 25 * 5 * 35 * 60
Let's check the given options – First option: −, +, −, +, = ⇒ 65 − 45 + 25 − 5 + 35 = 60 Solving the L.H.S. of the equation – = 125 − 45 − 5 = 75 ≠ 60 Second option : +, ×, +, −, = ⇒ 65 + 45 × 25 + 5 − 35 = 60 Solving the L.H.S. of the equation – = 65 + 1125 + 5 − 35 = 1195 − 35 = 1160 ≠ 60 Third option : +, −, +, −, = ⇒ 65 + 45 − 25 + 5 − 35 = 60 Solving the L.H.S. of the equation – = 115 − 25 − 35 = 55 ≠ 60 Fourth option: −, +, ÷, +, = ⇒ 65 − 45 + 25 ÷ 5 + 35 = 60 Solving the L.H.S. of the equation – = 65 − 45 + 5 + 35 = 105 − 45 = 60
So, only the fourth option satisfies the given equation. Hence, the fourth option is correct.
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