38 Views

Question : The largest five-digit number which when divided by 7, 9, and 11, leaves the same remainder as 3 in each case, is:

Option 1: 95840

Option 2: 98685

Option 3: 96720

Option 4: 99795


Team Careers360 23rd Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: 99795


Solution : The number which is divisible by 7, 9, and 11 should be divisible by LCM of (7, 9, 11) = 7 × 9 × 11 = 693
Largest 5-digit number = 99999
Quotient when 99999 is divided by 693 = 144
Largest 5 digit number divisible by 693 = 144 × 693 = 99792
The largest 5-digit number is divisible by 693 and leaves the remainder as 3 = 99792 + 3 = 99795
Hence, the correct answer is 99795.

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