Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation. 11 * 7 * 345 * 5 * 31 = 115
Option 1: +, ×, ÷, −
Option 2: ×, +, ÷, −
Option 3: ÷, ×, +, −
Option 4: ÷, −, +, ×
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Correct Answer: ×, +, ÷, −
Solution : Given: 11 * 7 * 345 * 5 * 31 = 115
Let's check the options – First option: +, ×, ÷, − ⇒ 11 + 7 × 345 ÷ 5 − 31 = 115 Solving the L.H.S. of the equation – ⇒ 11 + 7 × 69 − 31 ⇒ 11 + 483 − 31 ⇒ 463 ≠ 115 Second option: ×, +, ÷, − ⇒ 11 × 7 + 345 ÷ 5 − 31 = 115 Solving the L.H.S. of the equation – ⇒ 11 × 7 + 69 − 31 ⇒ 77 + 69 − 31 ⇒ 115 Third option: ÷, ×, +, − ⇒ 11 ÷ 7 × 345 + 5 − 31 = 115 Solving the L.H.S. of the equation – ⇒ 1.57 × 345 + 5 − 31 ⇒ 541.65 + 5 − 31 ⇒ 515.65 ≠ 115 Fourth option: ÷, −, +, × ⇒ 11 ÷ 7 − 345 + 5 × 31 = 115 Solving the L.H.S. of the equation – ⇒ 1.57 − 345 + 5 × 31 ⇒ 1.57 − 345 + 155 ⇒ −188.43 ≠ 115
Here, only the second option satisfies the equation. Hence, the second option is correct.
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