Question : Directions: Select the correct combination of the mathematical signs that can be filled to balance the following equation. 24 _ 6 _ 3 _ 4 _ 10 _ 6
Option 1: ÷, ×, =, +, +
Option 2: ÷, ×, +, =, +
Option 3: ÷, ×, –, =, ×
Option 4: +, =, ÷, ×, +
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Correct Answer: ÷, ×, +, =, +
Solution : Given: 24 _ 6 _ 3 _ 4 _ 10 _ 6
Replace _ with the mathematical signs and solve the equations one by one using BODMAS. First option: ÷, ×, =, +, + 24 ÷ 6 × 3 = 4 + 10 + 6 L.H.S. = 24 ÷ 6 × 3 = 4 × 3 = 12 R.H.S. = 4 + 10 + 6 = 20 L.H.S. ≠ R.H.S. Second option: ÷, ×, +, =, + 24 ÷ 6 × 3 + 4 = 10 + 6 L.H.S. = 24 ÷ 6 × 3 + 4 = 4 × 3 + 4 = 12 + 4 = 16 R.H.S. = 10 + 6 = 16 L.H.S. = R.H.S. Third option: ÷, ×, –, =, × 24 ÷ 6 × 3 – 4 = 10 × 6 L.H.S. = 24 ÷ 6 × 3 – 4 = 4 × 3 – 4 = 12 – 4 = 8 R.H.S. = 10 × 6 = 60 L.H.S. ≠ R.H.S. Fourth option: +, =, ÷, ×, + 24 + 6 = 3 ÷ 4 × 10 + 6 L.H.S. = 24 + 6 = 30 R.H.S. = 0.75 × 10 + 6 = 7.5 + 6 = 13.5 L.H.S. ≠ R.H.S.
So, only the second option satisfies the equation. Hence, the second option is correct.
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