Question : Directions: Which two signs need to be interchanged to make the following equation correct?
72 − 12 + 8 × 6 ÷ 22 = 32
Option 1: − and ×
Option 2: − and +
Option 3: × and ÷
Option 4: − and ÷
Correct Answer: − and ÷
Solution :
Given:
72 − 12 + 8 × 6 ÷ 22 = 32
Let's check each option –
First Option:
– and ×
On interchanging the mathematical signs, we get –
72 × 12 + 8 – 6 ÷ 22 = 32
Solving the L.H.S. of the given equation –
= 72 × 12 + 8 – 0.27
= 864 + 8 – 0.27
= 871.73 ≠ 32
Second Option:
– and +
On interchanging the mathematical signs, we get –
72 + 12 – 8 × 6 ÷ 22 = 32
Solving the L.H.S. of the given equation –
= 72 + 12 – 8 × 0.27
= 72 + 12 – 2.16
= 81.84 ≠ 32
Third Option:
× and ÷
On interchanging the mathematical signs, we get –
72 − 12 + 8 ÷ 6 × 22 = 32
Solving the L.H.S. of the given equation –
= 72 − 12 + 29.33
= 89.33 ≠ 32
Fourth Option:
– and ÷
On interchanging the mathematical signs, we get –
72 ÷ 12 + 8 × 6 – 22 = 32
Solving the L.H.S. of the given equation –
= 6 + 8 × 6 – 22
= 6 + 48 – 22
= 32
So, only the fourth option satisfies the equation. Hence, the fourth option is correct.
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