Question : Directions: Which two signs should be interchanged to make the following equation correct?
6 ÷ 24 + 6 × 7 – 5 = 29
Option 1: ÷ and ×
Option 2: ÷ and +
Option 3: ÷ and –
Option 4: × and +
Correct Answer: ÷ and +
Solution :
Given:
6 ÷ 24 + 6 × 7 – 5 = 29
Let's check each option –
First Option:
÷ and ×
On interchanging the mathematical signs, we get –
6 × 24 + 6 ÷ 7 – 5 = 29
On solving the L.H.S. of the equation –
= 6 × 24 + 6 ÷ 7 – 5
= 6 × 24 + 0.857 – 5
= 144 + 0.857 – 5
= 139.857
≠ 29
Second Option:
÷ and +
On interchanging the mathematical signs, we get –
6 + 24 ÷ 6 × 7 – 5 = 29
On solving the L.H.S. of the equation –
= 6 + 24 ÷ 6 × 7 – 5
= 6 + 4 × 7 – 5
= 6 + 28 – 5
= 29
Third Option:
÷ and –
On interchanging the mathematical signs, we get –
6 – 24 + 6 × 7 ÷ 5 = 29
On solving the L.H.S. of the equation –
= 6 – 24 + 6 × 7 ÷ 5
= 6 – 24 + 6 × 1.4
= 6 – 24 + 8.4
= –9.6
≠ 29
Fourth Option:
× and +
On interchanging the mathematical signs, we get –
6 ÷ 24 × 6 + 7 – 5 = 29
On solving the L.H.S. of the equation –
= 6 ÷ 24 × 6 + 7 – 5
= 0.25 × 6 + 7 – 5
= 1.5 + 7 – 5
= 3.5
≠ 29
So, only the second option satisfies the equation. Hence, the second option is correct.
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