4 Views

Question : What is the sum of all three digits numbers which are divisible by 20?

Option 1: 21400

Option 2: 24300

Option 3: 25800

Option 4: 22500


Team Careers360 16th Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: 24300


Solution : The first three-digit number divisible by 20 is 100 and the last is 980
This forms an arithmetic series with first term ($a$) = 100, common difference ($d$) = 20 and last term ($l$) = 980
⇒ The sum of an arithmetic series = $\frac{n}{2} × (a + l)$, where $n$ is the number of terms
We know, $n = \frac{l - a}{d} + 1$
⇒ $n=\frac{980-100}{20}+1$
⇒ $n=\frac{880}{20}+1$
⇒ $n=44+1=45$
So, the sum $=\frac{45}{2} × (100 + 980)= 24300$
Hence, the correct answer is 24300.

How to crack SSC CHSL

Candidates can download this e-book to give a boost to thier preparation.

Download Now

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