Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation. 59 * 12 * 6 * 24 * 2 * 105
Option 1: –, +, –, +, =
Option 2: ×, –, +, ×, =
Option 3: +, ×, +, –, =
Option 4: –, ÷, +, ×, =
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Correct Answer: –, ÷, +, ×, =
Solution : Given: 59 * 12 * 6 * 24 * 2 * 105
Replace * with the mathematical signs and solve the equations one by one using BODMAS. Let's check the given options – First option: –, +, –, +, = ⇒ 59 * 12 * 6 * 24 * 2 * 105 Solving the L.H.S. of the equation – = 59 – 12 + 6 – 24 + 2 = 67 – 36 = 31 ≠ 105 Second option: ×, –, +, ×, = ⇒ 59 * 12 * 6 * 24 * 2 * 105 Solving the L.H.S. of the equation – = 59 × 12 – 6 + 24 × 2 = 708 – 6 + 48 = 750 ≠ 105 Third option: +, ×, +, –, = ⇒ 59 * 12 * 6 * 24 * 2 * 105 Solving the L.H.S. of the equation – = 59 + 12 × 6 + 24 – 2 = 59 + 72 + 24 – 2 = 153 ≠ 105 Fourth option: –, ÷, +, ×, = ⇒ 59 * 12 * 6 * 24 * 2 * 105 Solving the L.H.S. of the equation – = 59 – 12 ÷ 6 + 24 × 2 = 59 – 2 + 48 = 105
So, only the fourth option satisfies the R.H.S. of the given equation. Hence, the fourth option is correct.
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