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.
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