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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