4 Views

Question : Directions: By Interchanging which two signs the equation will be correct?
6 – 10 × 8 ÷ 5 + 7 = 15

Option 1: + and –

Option 2: ÷ and –

Option 3: + and ÷

Option 4: × and ÷


Team Careers360 9th Jan, 2024
Answer (1)
Team Careers360 17th Jan, 2024

Correct Answer: + and –


Solution : Given:
6 – 10 × 8 ÷ 5 + 7 = 15

Let's check the given options –
First option: + and –
On interchanging the mathematical signs, we get –
6 + 10 × 8 ÷ 5 – 7 = 15
Solving the L.H.S. of the given equation –
= 6 + 10 × 8 ÷ 5 – 7
= 6 + 16 – 7
= 22 – 7
= 15 = R.H.S.
Second option: ÷ and –
On interchanging the mathematical signs, we get –
6 ÷ 10 × 8 – 5 + 7 = 15
Solving the L.H.S. of the given equation –
= 6 ÷ 10 × 8 – 5 + 7
= 4.8 – 5 + 7
= 11.8 – 5
= 6.8 ≠ 15
Third option: + and ÷
On interchanging the mathematical signs, we get –
6 – 10 × 8 + 5 ÷ 7 = 15
Solving the L.H.S. of the given equation –
= 6 – 10 × 8 + 5 ÷ 7
= 6 – 10 × 8 + 0.71
= 6 – 80 + 0.71
= 6.71 – 80
= –73.29 ≠ 15
Fourth option: × and ÷
On interchanging the mathematical signs, we get –
6 – 10 ÷ 8 × 5 + 7 = 15
Solving the L.H.S. of the given equation –
= 6 – 10 ÷ 8 × 5 + 7
= 6 – 6.25 + 7
= 13 – 6.25
= 6.75 ≠ 15

So, only the first option satisfies the given equation. Hence, the first 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