Question : Directions: Which two signs should be interchanged to make the given equation correct?
3 × 12 – 6 ÷ 2 + 12 = 16
Option 1: ÷ and +
Option 2: × and ÷
Option 3: – and ÷
Option 4: – and +
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Correct Answer: – and ÷
Solution :
Given:
3 × 12 – 6 ÷ 2 + 12 = 16
Let's check the options –
First option:
÷ and +
On interchanging the signs, the equation becomes –
3 × 12 – 6 + 2 ÷ 12 = 16
Solving the L.H.S. of the equation –
= 3 × 12 – 6 + 0.167
= 36 – 6 + 0.167
= 30.16 ≠ 16
Second option
: × and ÷
On interchanging the signs, the equation becomes –
3 ÷ 12 – 6 × 2 + 12 = 16
Solving the L.H.S. of the equation –
= 0.25 – 6 × 2 + 12
= 0.25 – 12 + 12
= 0.25 ≠ 16
Third option:
– and ÷
On interchanging the signs, the equation becomes –
3 × 12 ÷ 6 – 2 + 12 = 16
Solving the L.H.S. of the equation –
= 3 × 2 – 2 + 12
= 6 – 2 + 12
= 16
Fourth option:
– and +
On interchanging the signs, the equation becomes –
3 × 12 + 6 ÷ 2 – 12 = 16
Solving the L.H.S. of the equation –
= 3 × 12 + 3 – 12
= 36 + 3 – 12
= 39 – 12
= 27 ≠ 16
So, only the third option satisfies the given equation. Hence, the third option is correct.
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