Question : Directions: After interchanging which two signs will the value of the given expression be 356?
133 + 49 – 16 ÷ 2 × 34

Option 1: + and –

Option 2: – and ÷

Option 3: × and +

Option 4: ÷ and ×

Correct Answer: + and –

Solution : Given:
133 + 49 – 16 ÷ 2 × 34 = 356

Let's check each option –
First Option: + and –
On interchanging the mathematical signs, we get –
133 – 49 + 16 ÷ 2 × 34 = 356
On solving the L.H.S. of the equation –
= 133 – 49 + 16 ÷ 2 × 34
= 133 – 49 + 8 × 34
= 133 – 49 + 272
= 356
Second Option: – and ÷
On interchanging the mathematical signs, we get –
133 + 49 ÷ 16 – 2 × 34 = 356
On solving the L.H.S. of the equation –
= 133 + 49 ÷ 16 – 2 × 34
= 133 + 3. 0625 – 2 × 34
= 133 + 3. 0625 – 68
= 68.0625 ≠ 356
Third Option: × and +
On interchanging the mathematical signs, we get –
133 × 49 – 16 ÷ 2 + 34 = 356
On solving the L.H.S. of the equation –
= 133 × 49 – 16 ÷ 2 + 34
= 133 × 49 – 8 + 34
= 6517 – 8 + 34
= 6543 ≠ 356
Fourth Option: ÷ and ×
On interchanging the mathematical signs, we get –
133 + 49 – 16 × 2 ÷ 34 = 356
On solving the L.H.S. of the equation –
= 133 + 49 – 16 × 2 ÷ 34
= 133 + 49 – 0.94
= 181.06 ≠ 356

So, only the first option satisfies the equation. Hence, the first option is correct.