14 Views

Question : In an examination, the number of students who passed and the number of students who failed were in the ratio 25 : 4. If one more student had appeared and passed and the number of failed students was 3 less than earlier, the ratio of passed students to failed students would have become 22 : 3. What is the difference between the number of students who, initially, passed the examination and the number of students who failed the examination?

Option 1: 132

Option 2: 126

Option 3: 174

Option 4: 150


Team Careers360 7th Jan, 2024
Answer (1)
Team Careers360 20th Jan, 2024

Correct Answer: 126


Solution : Let the initial number of students who passed be $25x$ and the number of students who failed be $4x$, where $x$ is a constant.
If one more student had appeared and passed and the number of failed students was 3 less than earlier, the ratio of passed students to failed students would have become 22 : 3.
$⇒\frac{29x + 1}{4x - 3} = \frac{25}{3}$
$⇒87x + 3 = 100x - 75$
$⇒x = 6$
Therefore, the difference between the number of students who initially passed the examination and the number of students who failed the examination is $25x - 4x= 21x=21\times6=126$.
Hence, the correct answer is 126.

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
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