Question : Directions: Which two signs must be interchanged to correct the following equation?
32 − 8 ÷ 4 + 5 × 6 = 30
Option 1: × and +
Option 2: × and ÷
Option 3: ÷ and −
Option 4: ÷ and +
Correct Answer: ÷ and −
Solution :
Given:
32 − 8 ÷ 4 + 5 × 6 = 30
Let's check the options –
First options:
× and +
32 − 8 ÷ 4 × 5 + 6 = 30
On solving the L.H.S. of the given equation –
= 32 − 8 ÷ 4 × 5 + 6
= 32 − 2 × 5 + 6
= 32 − 10 + 6
= 28 ≠ 30
Second option:
× and ÷
32 − 8 × 4 + 5 ÷ 6 = 30
On solving the L.H.S. of the given equation –
= 32 − 8 × 4 + 5 ÷ 6
= 32 − 8 × 4 + 0.83
= 32 − 32 + 0.83
= 0.83 ≠ 30
Third option:
÷ and −
32 ÷ 8 − 4 + 5 × 6 = 30
On solving the L.H.S. of the given equation –
= 32 ÷ 8 − 4 + 5 × 6
= 4 − 4 + 5 × 6
= 4 − 4 + 30
= 30
Fourth option:
÷ and +
32 − 8 + 4 ÷ 5 × 6 = 30
On solving the L.H.S. of the given equation –
= 32 − 8 + 4 ÷ 5 × 6
= 32 − 8 + 0.8 × 6
= 32 − 8 + 4.8
= 28.8 ≠ 30
So, the third option satisfies the equation. Hence, the third option is correct.
Related Questions
Know More about
Staff Selection Commission Sub Inspector ...
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Get Updates Brochure
Your Staff Selection Commission Sub Inspector Exam brochure has been successfully mailed to your registered email id “”.
