Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation. 50 * 10 * 20 * 5 * 105
Option 1: ÷, ×, +, =
Option 2: ×, −, +, =
Option 3: ÷, ×, −, =
Option 4: ×, ÷, +, =
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Correct Answer: ÷, ×, +, =
Solution : Given: 50 * 10 * 20 * 5 * 105
Replace * with the mathematical signs and solve the equations one by one using the BODMAS. Let's check the given options – First option: ÷, ×, +, = ⇒ 50 ÷ 10 × 20 + 5 = 105 Solving the L.H.S of the equation – = 5 × 20 + 5 = 100 + 5 = 105 = R.H.S. Second option: ×, −, +, = ⇒ 50 × 10 − 20 + 5 = 105 Solving the L.H.S of the equation – = 500 − 15 = 485 ≠ 105 Third option: ÷, ×, −, = ⇒ 50 ÷ 10 × 20 − 5 = 105 Solving the L.H.S of the equation – = 5 × 20 − 5 = 100 − 5 = 95 ≠ 105 Fourth option: ×, ÷, +, = ⇒ 50 × 10 ÷ 20 + 5 = 105 Solving the L.H.S of the equation – = 25 + 5 = 30 ≠ 105
So, only the first option satisfies the given equation. Hence, the first option is correct.
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