Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation. (626 * 2) * (11 * 9) * 69 * 240 * 103
Option 1: ÷, +, ×, =, +, +
Option 2: +, ×, =, ÷, +, −
Option 3: ÷, −, ×, =, −, ×
Option 4: +, ×, =, −, ÷, +
Correct Answer: ÷, +, ×, =, +, +
Solution : Given: (626 * 2) * (11 * 9) * 69 * 240 * 103
Replace * with the mathematical signs and solve the equations one by one using BODMAS. Let's check the given options – First option: ÷, +, ×, =, +, + ⇒ (626 ÷ 2) + (11 × 9) = 69 + 240 + 103 L.H.S. = (626 ÷ 2) + (11 × 9) = 313 + 99 = 412 R.H.S. = 69 + 240 + 103 = 412 Here, L.H.S = R.H.S Second option: +, ×, =, ÷, +, − ⇒ (626 + 2) × 11 = 9 ÷ 69 + 240 − 103 L.H.S. = (626 + 2) × 11 = 628 × 11 = 6908 R.H.S. = 9 ÷ 69 + 240 − 103 = 0.13 + 240 − 103 = 137.13 Here, L.H.S ≠ R.H.S Third option: ÷, −, ×, =, −, × ⇒ (626 ÷ 2) − (11 × 9) = 69 − 240 × 103 L.H.S = (626 ÷ 2) − (11 × 9) = 313 − 99 = 214 R.H.S = 69 − 240 × 103 = 69 − 24720 = −24651 Here, L.H.S ≠ R.H.S Fourth option: +, ×, =, −, ÷, + ⇒ (626 + 2) × 11 = 9 − 69 ÷ 240 + 103 L.H.S = (626 + 2) × 11 = 628 × 11 = 6908 R.H.S = 9 − 69 ÷ 240 + 103 = 9 − 0.29 + 103 = 111.71 Here, L.H.S ≠ R.H.S
So, only the first option satisfies the given equation. Hence, the first option is correct.
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