4 Views

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 +


Team Careers360 19th Jan, 2024
Answer (1)
Team Careers360 21st Jan, 2024

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.

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books