2 Views

Question : What is the value of $\left(\frac{1}{a} - \frac{1}{b} - \frac{1}{c}\right)$, if $\frac{2a - 5}{a} - \frac{4b - 5}{b} + \frac{6c + 5}{c} = 0$?

Option 1: $\frac{4}{5}$

Option 2: $-\frac{8}{5}$

Option 3: $\frac{2}{5}$

Option 4: $-\frac{12}{5}$


Team Careers360 7th Jan, 2024
Answer (1)
Team Careers360 21st Jan, 2024

Correct Answer: $\frac{4}{5}$


Solution : $\frac{2a- 5}{a} - \frac{4b - 5}{b} + \frac{6c + 5}{c} = 0$
$⇒(2 -\frac{5}{a}) - (4 - \frac{5}{b}) + (6 + \frac{5}{c})=0$
$⇒ -\frac{5}{a} + \frac{5}{b} + \frac{5}{c} = -4$
$⇒–(\frac{1}{a}- \frac{1}{b} - \frac{1}{c}) =-\frac{4}{5}$
$\therefore(\frac{1}{a} - \frac{1}{b} - \frac{1}{c}) = \frac{4}{5}$
Hence, the correct answer is $\frac{4}{5}$.

SSC CGL Complete Guide

Candidates can download this ebook to know all about SSC CGL.

Download EBook

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