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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 ÷


Team Careers360 16th Jan, 2024
Answer (1)
Team Careers360 21st Jan, 2024

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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