12 Views

Question : Directions: Which two numbers from amongst the given options should be interchanged to make the given equation correct?
(357 ÷ 2 + 3) ÷ 11 – 4 = (28 × 3 + 7) ÷ 9

Option 1: 11 and 28

Option 2: 2 and 3

Option 3: 7 and 9

Option 4: 2 and 9


Team Careers360 17th Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: 2 and 3


Solution : Given:
(357 ÷ 2 + 3) ÷ 11 – 4 = (28 × 3 + 7) ÷ 9

Replace the numbers in the options one by one in the given equation.
First option: 11 and 28
⇒ (357 ÷ 2 + 3) ÷ 28 – 4 = (11 × 3 + 7) ÷ 9
⇒ 178.5 ÷ 28 – 4 = 40 ÷ 9
⇒ 2.375 ≠ 4.45
Second option: 2 and 3
⇒ (357 ÷ 3 + 2) ÷ 11 – 4 = (28 × 2 + 7) ÷ 9
⇒ 121 ÷ 11 – 4 = 63 ÷ 9
⇒ 7 = 7
Third option: 7 and 9
⇒ (357 ÷ 2 + 3) ÷ 11 – 4 = (28 × 3 + 9) ÷ 7
⇒ 178.5 ÷ 11 – 4 = 93 ÷ 7
⇒ 12.23 ≠ 13.28
Fourth option: 2 and 9
⇒ (357 ÷ 9 + 3) ÷ 11 – 4 = (28 × 3 + 7) ÷ 2
= 42.67 ÷ 11 – 4 = 91 ÷ 2
= –0.121 ≠ 45.5

So, only the second option satisfies the R.H.S. of the given 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