Question : Directions: By interchanging the given two signs which of the following equations will not be correct?
– and ÷
Option 1: 20 × 8 – 4 ÷ 2 + 7 = 50
Option 2: 35 – 5 + 8 ÷ 4 × 3 = 3
Option 3: 10 + 8 × 6 – 4 ÷ 2 = 20
Option 4: 12 – 4 + 11 × 3 ÷ 8 = 28
Correct Answer: 20 × 8 – 4 ÷ 2 + 7 = 50
Solution :
Let's check each option –
First Option:
20 × 8 – 4 ÷ 2 + 7 = 50
On interchanging the mathematical signs, we get –
20 × 8 ÷ 4 – 2 + 7 = 50
On solving the L.H.S. of the equation –
= 20 × 2 – 2 + 7
= 40 – 2 + 7
= 47 – 2
= 45 ≠ 50
Second Option:
35 – 5 + 8 ÷ 4 × 3 = 3
On interchanging the mathematical signs, we get –
35 ÷ 5 + 8 – 4 × 3 = 3
On solving the L.H.S. of the equation –
= 7 + 8 – 4 × 3
= 7 + 8 – 12
= 15 – 12
= 3
Third Option:
10 + 8 × 6 – 4 ÷ 2 = 20
On interchanging the mathematical signs, we get –
10 + 8 × 6 ÷ 4 – 2 = 20
On solving the L.H.S. of the equation –
= 10 + 8 × 1.5 – 2
= 10 + 12 – 2
= 22 – 2
= 20
Fourth Option:
12 – 4 + 11 × 3 ÷ 8 = 28
On interchanging the mathematical signs, we get –
12 ÷ 4 + 11 × 3 – 8 = 28
On solving the L.H.S. of the equation –
= 3 + 11 × 3 – 8
= 3 + 33 – 8
= 36 – 8
= 28
So, only the first option does not satisfy the equation. Hence, the first option is correct.
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