Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation. 21 * 3 * 36 * 2 * 23 = 68
Option 1: ÷, −, ×, +
Option 2: ÷, ×, +, −
Option 3: +, ×, −, ÷
Option 4: ×, −, ÷, +
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Correct Answer: ×, −, ÷, +
Solution : Given: 21 * 3 * 36 * 2 * 23 = 68
Let's check the given options – First option: ÷, −, ×, + ⇒ 21 ÷ 3 − 36 × 2 + 23 = 68 Solving the L.H.S. of the equation – = 7 − 36 × 2 + 23 = 7 − 72 + 23 = −42 ≠ 68 Second option: ÷, ×, +, − ⇒ 21 ÷ 3 × 36 + 2 − 23 = 68 Solving the L.H.S. of the equation – = 7 × 36 + 2 − 23 = 252 + 2 − 23 = 231 ≠ 68 Third option: +, ×, −, ÷ ⇒ 21 + 3 × 36 − 2 ÷ 23 = 68 Solving the L.H.S. of the equation – = 21 + 3 × 36 − 0.09 = 21 + 108 − 0.09 = 128.91 ≠ 68 Fourth option: ×, −, ÷, + ⇒ 21 × 3 − 36 ÷ 2 + 23 = 68 Solving the L.H.S. of the equation – = 21 × 3 − 18 + 23 = 63 − 18 + 23 = 68
So, only the fourth option satisfies the given equation. Hence, the fourth option is correct.
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