Question : Directions: Select the correct combination of mathematical signs to replace the * signs and to balance the given equation. 23 * 12 * 36 * 2 * 9 * 285
Option 1: –, =, ×, ×, ÷
Option 2: ×, +, ÷, –, =
Option 3: +, +, =, ×, ×
Option 4: =, +, +, ×, –
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Correct Answer: ×, +, ÷, –, =
Solution : Given: 23 * 12 * 36 * 2 * 9 * 285
Replace * with the mathematical signs and solve the equations one by one using the BODMAS. Let's check the given options – First option: –, =, ×, ×, ÷ ⇒ 23 – 12 = 36 × 2 × 9 ÷ 285 Solving the L.H.S. and R.H.S. of the equation – ⇒ 11 = 36 × 2 × 0.0315 ⇒ 11 ≠ 2.27 Second option: ×, +, ÷, –, = ⇒ 23 × 12 + 36 ÷ 2 – 9 = 285 Solving the L.H.S. of the equation – = 276 + 18 – 9 = 285 = R.H.S. Third option: +, +, =, ×, × ⇒ 23 + 12 + 36 = 2 × 9 × 285 Solving the L.H.S. and R.H.S. of the equation – = 71 ≠ 5130 Fourth option: =, +, +, ×, – ⇒ 23 = 12 + 36 + 2 × 9 – 285 Solving the R.H.S. of the equation – = 12 + 36 + 18 – 285 = 66 – 285 = 23 ≠ –219
So, only the second option satisfies the given equation. Hence, the second option is correct.
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