3 Views

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 +


Team Careers360 10th Jan, 2024
Answer (1)
Team Careers360 20th Jan, 2024

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.

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
GRE ® Registrations 2024
Apply
Apply for GRE® Test now & save 10% with ApplyShop Gift Card | World's most used Admission Test for Graduate & Professional Schools
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