Question : Directions: Select the correct combination of the mathematical signs to replace star symbols (*) in the below equation and therefore balance it. 36 * 14 * 17 * 396 * 18 * 252
Option 1: +, –, ×, ÷, =
Option 2: +, ×, –, =, ÷
Option 3: +, ×, –, ÷, =
Option 4: ×, +, –, ÷, =
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Correct Answer: +, ×, –, ÷, =
Solution : Given: 36 * 14 * 17 * 396 * 18 * 252
Let's check each option – First Option: +, –, ×, ÷, = 36 + 14 – 17 × 396 ÷ 18 = 252 L.H.S. = 36 + 14 – 17 × 396 ÷ 18 = 36 + 14 – 17 × 22 = 36 + 14 – 374 = –324 L.H.S. ≠ R.H.S. Second Option: +, ×, –, =, ÷ 36 + 14 × 17 – 396 = 18 ÷ 252 L.H.S. = 36 + 14 × 17 – 396 = 36 + 238 – 396 = –122 R.H.S. = 18 ÷ 252 = 0.0714 L.H.S. ≠ R.H.S. Third Option: +, ×, –, ÷, = 36 + 14 × 17 – 396 ÷ 18 = 252 L.H.S. = 36 + 14 × 17 – 396 ÷ 18 = 36 + 14 × 17 – 22 = 36 + 238 – 22 = 252 L.H.S. = R.H.S. Fourth Option: ×, +, –, ÷, = 36 × 14 + 17 – 396 ÷ 18 = 252 L.H.S. = 36 × 14 + 17 – 396 ÷ 18 = 36 × 14 + 17 – 22 = 504 + 17 – 22 = 499 L.H.S. ≠ R.H.S.
So, only the third option satisfies the equation. Hence, the third option is correct.
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