11 Views

Question : The least number, which when divided by 5, 6, 7 and 8 leaves a remainder of 3, but when divided by 9, leaves no remainder, is:

Option 1: 1677

Option 2: 1683

Option 3: 2523

Option 4: 3363


Team Careers360 21st Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: 1683


Solution : The LCM of 5, 6, 7, and 8 is 840.
If 3 is added to 840 it becomes 843, which, when divided by 5, 6, 7, and 8, leaves the remainder of 3.
843 is not completely divisible by 9 and hence, we will take multiples of 840
The required number will be in the form of 840K + 3 (where K is any integer)
After putting K = 2, we get 1683 which is completely divisible by 9.
Hence, the correct answer is 1683.

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