Question : Directions: Select the correct combination of mathematical signs to replace * signs and to balance the following equation.
12 * 3 * 4 = 6 * 8 * 8
Option 1: +, ×, –, ×
Option 2: ×, +, –, ×
Option 3: ×, +, ×, –
Option 4: ×, –, ×, +
Correct Answer: ×, +, ×, –
Solution :
Given:
12 * 3 * 4 = 6 * 8 * 8
Replace * with the mathematical signs and solve the equations using the BODMAS rule.
Let's check the given options –
First option:
+, ×, –, ×
Solving the L.H.S. and R.H.S. of the equation –
L.H.S. = 12 + 3 × 4 = 24
R.H.S. =
6 – 8 × 8 = – 58
L.H.S. ≠ R.H.S.
Second option:
×, +, –, ×
Solving the L.H.S. and R.H.S. of the equation –
L.H.S. = 12 × 3 + 4 = 40
R.H.S. = 6 – 8 × 8 = – 58
L.H.S. ≠ R.H.S.
Third option:
×, +, ×, –
Solving the L.H.S. and R.H.S. of the equation –
L.H.S. = 12 × 3 + 4 = 40
R.H.S. = 6 × 8 – 8 = 40
L.H.S. = R.H.S.
Fourth option:
×, –, ×, +
Solving the L.H.S. and R.H.S. of the equation –
L.H.S. = 12 × 3 – 4 = 32
R.H.S. = 6 × 8 + 8 = 56
L.H.S. ≠ R.H.S.
So only the third option satisfies the equation. Hence, the third option is correct.
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