Question : Directions: Which two signs must be interchanged to correct the following equation?
35 + 7 × 12 – 6 ÷ 2 = 6
Option 1: – and ×
Option 2: – and ÷
Option 3: + and ×
Option 4: × and ÷
Correct Answer: – and ×
Solution :
Given:
35 + 7 × 12 – 6 ÷ 2 = 6
Let's check the options –
First options:
– and ×
35 + 7 – 12 × 6 ÷ 2 = 6
On solving the L.H.S. of the given equation –
= 35 + 7 – 12 × 6 ÷ 2
= 35 + 7 – 12 × 3
= 35 + 7 – 36
= 6
Second option:
– and ÷
35 + 7 × 12 ÷ 6 – 2 = 6
On solving the L.H.S. of the given equation –
= 35 + 7 × 12 ÷ 6 – 2
= 35 + 7 × 2 – 2
= 35 + 14 – 2
= 47 ≠ 6
Third option:
+ and ×
35 × 7 + 12 – 6 ÷ 2 = 6
On solving the L.H.S. of the given equation –
= 35 × 7 + 12 – 6 ÷ 2
= 35 × 7 + 12 – 3
= 245 + 12 – 3
= 254 ≠ 6
Fourth option:
× and ÷
35 + 7 ÷ 12 – 6 × 2 = 6
On solving the L.H.S. of the given equation –
= 35 + 7 ÷ 12 – 6 × 2
= 35 + 0.58 – 6 × 2
= 35 + 0.58 – 12
= 23.58 ≠ 6
So, the first option satisfies the equation. Hence, the first option is correct.
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