Question : Directions: Select the correct sequence of mathematical signs to replace the * signs to balance the given equation.
72 * 12 * 8 * 6 * 22 = 32
Option 1: +, ÷, ×, –
Option 2: ÷, +, ×, –
Option 3: ×, +, –, ÷
Option 4: ÷, –, ×, +
Correct Answer: ÷, +, ×, –
Solution :
Given:
72 * 12 * 8 * 6 * 22 = 32
Replace * with the mathematical signs and solve the equations one by one using BODMAS.
Let's check the given options –
First option:
+, ÷, ×, –
⇒ 72 + 12 ÷ 8 × 6 – 22 = 32
Solving the L.H.S of the equation –
= 72 + 9 – 22
= 59 ≠ 32
Second option:
÷, +, ×, –
⇒ 72 ÷ 12 + 8 × 6 – 22 = 32
Solving the L.H.S of the equation –
= 6 + 48 – 22
= 32
Third option:
×, +, –, ÷
⇒ 72 × 12 + 8 – 6 ÷ 22 = 32
Solving the L.H.S of the equation –
= 864 + 8 – 0.27
= 871.73 ≠ 32
Fourth option:
÷, –, ×, +
⇒ 72 ÷ 12 – 8 × 6 + 22 = 32
Solving the L.H.S of the equation –
= 6 – 48 + 22
= 20 ≠ 32
So, only the second option satisfies the given equation. Hence, the second option is correct.
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