Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation. 213 * 67 * 119 * (248 * 31) * 169
Option 1: –, ÷, =, –, ×
Option 2: +, –, +, ÷, =
Option 3: ×, –, =, +, ÷
Option 4: +, −, =, –, ×
Correct Answer: +, –, +, ÷, =
Solution : Given: 213 * 67 * 119 * (248 * 31) * 169
Replace * with the mathematical signs and solve the equations one by one. Let's check the given options – First option: −, ÷, =, −, × ⇒ 213 – 67 ÷ 119 = (248 – 31) × 169 Solving the L.H.S. of the equation – = 213 – 0.56 = 212.44 Solving the R.H.S. of the equation – = (248 – 31) × 169 = 217 × 169 = 36673 L.H.S. ≠ R.H.S. Second option: +, −, +, ÷, = ⇒ 213 + 67 – 119 + (248 ÷ 31) = 169 Solving the L.H.S. of the equation – = 213 + 67 – 119 + 8 = 288 – 119 = 169 = R.H.S. Third option: ×, −, =, +, ÷ ⇒ 213 × 67 – 119 = (248 + 31) ÷ 169 Solving the L.H.S. of the equation – = 14271 – 119 = 14152 Solving the R.H.S. of the equation – = 279 ÷ 169 = 1.65 L.H.S. ≠ R.H.S. Fourth option: +, −, =, −, × ⇒ 213 + 67 – 119 = (248 – 31) × 169 Solving the L.H.S. of the equation – = 280 – 119 = 161 Solving the R.H.S. of the equation – = 217 × 169 = 36673 L.H.S. ≠ R.H.S.
So, only the second option satisfies the given equation. Hence, the second option is correct.
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Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation. (130 * 4) * 21 * 485 * (28 * 2)
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Option 1: ÷, −, =, −, ×, −
Option 2: +, ÷, +, =, −, ×
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