Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation. 268 * 4 * 8 * 5 * 14 = 41
Option 1: +, ×, −, ÷
Option 2: ×, ÷, +, −
Option 3: ÷, ×, +, −
Option 4: ÷, −, ×, +
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Correct Answer: ÷, −, ×, +
Solution : Given: 268 * 4 * 8 * 5 * 14 = 41
Let's check the options – First option: +, ×, −, ÷ ⇒ 268 + 4 × 8 − 5 ÷ 14 = 41 Solving the L.H.S. of the equation – ⇒ 268 + 4 × 8 − 0.36 ⇒ 268 + 32 − 0.36 ⇒ 299.64 ≠ 41 Second option: ×, ÷, +, − ⇒ 268 × 4 ÷ 8 + 5 − 14 = 41 Solving the L.H.S. of the equation – ⇒ 268 × 0.5 + 5 − 14 ⇒ 134 + 5 − 14 ⇒ 125 ≠ 41 Third option: ÷, ×, +, − ⇒ 268 ÷ 4 × 8 + 5 − 14 = 41 Solving the L.H.S. of the equation – ⇒ 67 × 8 + 5 − 14 ⇒ 536 + 5 − 14 ⇒ 527 ≠ 41 Fourth option: ÷, −, ×, + ⇒ 268 ÷ 4 − 8 × 5 + 14 = 41 Solving the L.H.S. of the equation – ⇒ 67 − 8 × 5 + 14 ⇒ 67 − 40 + 14 ⇒ 41
Here, only the fourth option satisfies the equation. Hence, the fourth option is correct.
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