Question : Directions: Which two signs need to be interchanged to make the following equation correct?
48 – 8 ÷ 4 + 5 × 6 = 32
Option 1: × and +
Option 2: ÷ and –
Option 3: × and ÷
Option 4: ÷ and +
Correct Answer: ÷ and –
Solution :
Given:
48 – 8 ÷ 4 + 5 × 6 = 32
Let's check each option –
First option:
× and +
On interchanging the mathematical signs, we get –
48 – 8 ÷ 4 × 5 + 6 = 32
On solving the L.H.S. of the equation –
= 48 – 8 ÷ 4 × 5 + 6
= 48 – 2 × 5 + 6
= 48 – 10 + 6
= 44 ≠ 32
Second option:
÷ and –
On interchanging the mathematical signs, we get –
48 ÷ 8 – 4 + 5 × 6 = 32
On solving the L.H.S. of the equation –
= 48 ÷ 8 – 4 + 5 × 6
= 6 – 4 + 5 × 6
= 6 – 4 + 30
= 32
Third option:
× and ÷
On interchanging the mathematical signs, we get –
48 – 8 × 4 + 5 ÷ 6 = 32
On solving the L.H.S. of the equation –
= 48 – 8 × 4 + 5 ÷ 6
= 48 – 8 × 4 + 0.83
= 48 – 32 + 0.83
= 16.83 ≠ 32
Fourth option:
÷ and +
On interchanging the mathematical signs, we get –
48 – 8 + 4 ÷ 5 × 6 = 32
On solving the L.H.S. of the equation –
= 48 – 8 + 4 ÷ 5 × 6
= 48 – 8 + 0.8 × 6
= 48 – 8 + 4.8
= 44.8 ≠ 32
So, only the second option satisfies the equation. Hence, the second 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 “”.
