Question : Directions: Select the correct sequence of mathematical signs to replace the * signs to balance the given equation. 72 * 12 * 8 * 6 * 22 = 32
Option 1: +, ÷, ×, –
Option 2: ÷, +, ×, –
Option 3: ×, +, –, ÷
Option 4: ÷, –, ×, +
Correct Answer: ÷, +, ×, –
Solution : Given: 72 * 12 * 8 * 6 * 22 = 32
Replace * with the mathematical signs and solve the equations one by one using BODMAS. Let's check the given options – First option: +, ÷, ×, – ⇒ 72 + 12 ÷ 8 × 6 – 22 = 32 Solving the L.H.S of the equation – = 72 + 9 – 22 = 59 ≠ 32 Second option: ÷, +, ×, – ⇒ 72 ÷ 12 + 8 × 6 – 22 = 32 Solving the L.H.S of the equation – = 6 + 48 – 22 = 32 Third option: ×, +, –, ÷ ⇒ 72 × 12 + 8 – 6 ÷ 22 = 32 Solving the L.H.S of the equation – = 864 + 8 – 0.27 = 871.73 ≠ 32 Fourth option: ÷, –, ×, + ⇒ 72 ÷ 12 – 8 × 6 + 22 = 32 Solving the L.H.S of the equation – = 6 – 48 + 22 = 20 ≠ 32
So, only the second option satisfies the given equation. Hence, the second option is correct.
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