Question : Directions: Select the correct combination of mathematical signs to replace the * signs and balance the given equation. 21 * 4 * 156 * 13 * 11 = 83
Option 1: –, ÷, ×, +
Option 2: ×, +, ÷, –
Option 3: ×, –, ÷, +
Option 4: +, ÷, –, ×
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Correct Answer: ×, –, ÷, +
Solution : Given: 21 * 4 * 156 * 13 * 11 = 83
Replace * with the mathematical signs and solve the equation using BODMAS. Let's check the given options – First option: –, ÷, ×, + ⇒ 21 – 4 ÷ 156 × 13 + 11 = 83 Solving L.H.S. of the equation – = 21 – 0.025 × 13 + 11 = 21 – 0.34 + 11 = 32 – 0.325 = 31.67 ≠ 83 Second option: ×, +, ÷, – ⇒ 21 × 4 + 156 ÷ 13 – 11 = 83 Solving L.H.S. of the equation – = 21 × 4 + 12 – 11 = 84 + 12 – 11 = 96 – 11 = 85 ≠ 83 Third option: ×, –, ÷, + ⇒ 21 × 4 – 156 ÷ 13 + 11 = 83 Solving L.H.S. of the equation – = 21 × 4 – 12 + 11 = 84 – 12 + 11 = 95 – 12 = 83 Fourth option: +, ÷, –, × ⇒ 21 + 4 ÷ 156 – 13 × 11 = 83 Solving L.H.S. of the equation – = 21 + 0.025 – 13 × 11 = 21 + 0.025 – 143 = 21.025 – 143 = –121.975 ≠ 83
So, only the third option satisfies the given equation. Hence, the third option is correct.
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