Question : Directions: Which two signs need to be interchanged to make the following equation correct?
352 × 8 − 330 + 125 ÷ 4 = 214
Option 1: + and ×
Option 2: − and ÷
Option 3: + and ÷
Option 4: × and ÷
Correct Answer: × and ÷
Solution :
Given:
352 × 8 − 330 + 125 ÷ 4 = 214
Let's check the options –
First options:
+ and ×
352 + 8 − 330 × 125 ÷ 4 = 214
On solving the L.H.S. of the given equation –
= 352 + 8 − 330 × 125 ÷ 4
= 352 + 8 − 330 × 31.25
= 352 + 8 − 10312.5
= –9952.5 ≠ 214
Second option:
− and ÷
352 × 8 ÷ 330 + 125 − 4 = 214
On solving the L.H.S. of the given equation –
= 352 × 8 ÷ 330 + 125 − 4
= 352 × 0.024 + 125 − 4
= 8.448 + 125 − 4
= 129.448 ≠ 214
Third option:
+ and ÷
352 × 8 − 330 ÷ 125 + 4 = 214
On solving the L.H.S. of the given equation –
= 352 × 8 − 330 ÷ 125 + 4
= 352 × 8 − 2.64 + 4
= 2816 − 2.64 + 4
= 2817.36 ≠ 214
Fourth option:
× and ÷
352 ÷ 8 − 330 + 125 × 4 = 214
On solving the L.H.S. of the given equation –
= 352 ÷ 8 − 330 + 125 × 4
= 44 − 330 + 125 × 4
= 44 − 330 + 500
= 214
So, the fourth option satisfies the equation. Hence, the fourth option is correct.
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