Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * and balance the given equation. 76 * 34 * 23 * 12 * 6 * 21
Option 1: +, –, +, ÷, =
Option 2: –, –, +, +, =
Option 3: ×, –, +, ÷, =
Option 4: –, –, +, ÷, =
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Correct Answer: –, –, +, ÷, =
Solution : Given: 76 * 34 * 23 * 12 * 6 * 21
On replacing * with the mathematical signs, we get – First option: +, –, +, ÷, = ⇒ 76 + 34 – 23 + 12 ÷ 6 = 21 Solving the L.H.S. of the equation – = 76 + 34 – 23 + 12 ÷ 6 = 76 + 34 – 23 + 2 = 110 – 25 = 85 ≠ 21 Second option: –, –, +, +, = ⇒ 76 – 34 – 23 + 12 + 6 = 21 Solving the L.H.S. of the equation – = 76 – 34 – 23 + 12 + 6 = 94 – 57 = 37 ≠ 21 Third option: ×, –, +, ÷, = ⇒ 76 × 34 – 23 + 12 ÷ 6 = 21 Solving the L.H.S. of the equation – = 76 × 34 – 23 + 12 ÷ 6 = 76 × 34 – 23 + 2 = 2584 – 23 + 2 = 2586 – 23 = 2563 ≠ 21 Fourth option: –, –, +, ÷, = ⇒ 76 – 34 – 23 + 12 ÷ 6 = 21 Solving the L.H.S. of the equation – = 76 – 34 – 23 + 2 = 78 – 57 = 21 = R.H.S.
So, only the fourth option satisfies the given equation. Hence, the fourth option is correct.
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