82 Views

Question : How many numbers are there between 501 and 701 which are divisible by 10 but are not divisible by 3?

Option 1: 20

Option 2: 14

Option 3: 15

Option 4: 13


Team Careers360 12th Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: 13


Solution : The number of terms ($n$) in an arithmetic progression where $d$ is the common difference is given by the formula:
$n = \frac{\text{last term - first term}}{d} + 1$
The numbers between 501 and 701 that are divisible by 10 are: 510, 520, ..., 700.
The common difference = 10
$⇒n_1 = \frac{700 - 510}{10} + 1 = 20$
So, there are 20 numbers between 501 and 701 that are divisible by 10.
Next, we exclude the number that are also divisible by 3.
These numbers are 510, 540, ..., 690.
The common difference = 30
$⇒n_2 = \frac{690 - 510}{30} + 1 = 7$
So, the required numbers = $n_1 - n_2$
= 20 – 7 = 13
Hence, the correct answer is 13.

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