Question : Directions: By interchanging the given two signs and numbers which of the following equations will be correct?
– and +, 6 and 3

Option 1: 7 – 3 × 2 ÷ 6 + 4 = 17

Option 2: 8 × 3 – 6 + 4 ÷ 2 = 49

Option 3: 7 + 6 ÷ 3 × 8 – 5 = 35

Option 4: 9 – 6 ÷ 4 + 3 × 7 = 8

Correct Answer: 8 × 3 – 6 + 4 ÷ 2 = 49

Solution : Let's check the options –
First option: 7 – 3 × 2 ÷ 6 + 4 = 17
On interchanging the mathematical signs and numbers, we get –
⇒ 7 + 6 × 2 ÷ 3 – 4 = 17
Solving the L.H.S. of the equation –
= 7 + 6 × 2 ÷ 3 – 4
= 7 + 4 – 4
= 11 – 4
= 7 ≠ 17
Second option: 8 × 3 – 6 + 4 ÷ 2 = 49
On interchanging the mathematical signs and numbers, we get –
⇒ 8 × 6 + 3 – 4 ÷ 2 = 49
Solving the L.H.S. of the equation –
= 8 × 6 + 3 – 4 ÷ 2
= 8 × 6 + 3 – 2
= 48 + 3 – 2
= 51 – 2
= 49
Third option: 7 + 6 ÷ 3 × 8 – 5 = 35
On interchanging the mathematical signs and numbers, we get –
⇒ 7 – 3 ÷ 6 × 8 + 5 = 35
Solving the L.H.S. of the equation –
= 7 – 3 ÷ 6 × 8 + 5
= 7 – 4 + 5
= 12 – 4
= 8 ≠ 35
Fourth option: 9 – 6 ÷ 4 + 3 × 7 = 8
On interchanging the mathematical signs and numbers, we get –
⇒ 9 + 3 ÷ 4 – 6 × 7 = 8
Solving the L.H.S. of the equation –
= 9 + 3 ÷ 4 – 6 × 7
= 9 + 0.75 – 6 × 7
= 9 + 0.75 – 42
= 9.75 – 42
= –32.25 ≠ 8

So, only the second option satisfies the given equation. Hence, the second option is correct.