CAT Question  >  Find the least positive integer which when di... SaveDownload as PDF
Find the least positive integer which when divided by 2 gives remainder 1, when divided by 3 gives remainder 2, when divided by 4 gives remainder 3 and when divided by 5 gives remainder 4? 
  • a)
    33  
  • b)
    59  
  • c)
    61  
  • d)
    49
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Find the least positive integer which when divided by 2 gives remainde...
Here the divisors are 2, 3, 4 and 5 and the respective remainders are 1, 2, 3 and 4.  
The L.C.M. of (2, 3, 4, 5) = 60.
The least number satisfying the given condition = L.C.M. of (2, 3, 4, 5) – the difference between the divisor and the respective remainder. = 60 – 1 = 59 
Most Upvoted Answer
Find the least positive integer which when divided by 2 gives remainde...
By using the trial and error method we can easily understand that the answer is option b) ie; 59. Use the bigger number ie; divide by 5 to eliminate unwanted options in a faster manner.
Related Test
SNAP Past Year Papers - 2014
150 Ques | 120Mins
Start Test
Community Answer
Find the least positive integer which when divided by 2 gives remainde...
59
As 2*29 +1= 59
3*19 + 2=59
4*14+ 3=59
5*10+ 4= 59

Learn this topic in detail

SNAP Past Year Papers - 2014
150 Ques | 120 Mins
Start Test
More from Related Course
Quantitative Aptitude (Quant)
View notes & videos
View courses related to this question
Explore CAT courses
1 Crore+ students have signed up on EduRev. Have you? Download the App
1 Crore+ students have signed up on EduRev. Have you?

Quick links for CAT exam

850+
Video Lectures
2500+
Revision Notes
600+
Online Tests
34+
Courses
Find the least positive integer which when divided by 2 gives remainder 1, when divided by 3 gives remainder 2, when divided by 4 gives remainder 3 and when divided by 5 gives remainder 4?a)33 b)59 c)61 d)49Correct answer is option 'B'. Can you explain this answer?
Question Description
Find the least positive integer which when divided by 2 gives remainder 1, when divided by 3 gives remainder 2, when divided by 4 gives remainder 3 and when divided by 5 gives remainder 4?a)33 b)59 c)61 d)49Correct answer is option 'B'. Can you explain this answer? for CAT 2023 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Find the least positive integer which when divided by 2 gives remainder 1, when divided by 3 gives remainder 2, when divided by 4 gives remainder 3 and when divided by 5 gives remainder 4?a)33 b)59 c)61 d)49Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the least positive integer which when divided by 2 gives remainder 1, when divided by 3 gives remainder 2, when divided by 4 gives remainder 3 and when divided by 5 gives remainder 4?a)33 b)59 c)61 d)49Correct answer is option 'B'. Can you explain this answer?.
Solutions for Find the least positive integer which when divided by 2 gives remainder 1, when divided by 3 gives remainder 2, when divided by 4 gives remainder 3 and when divided by 5 gives remainder 4?a)33 b)59 c)61 d)49Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Find the least positive integer which when divided by 2 gives remainder 1, when divided by 3 gives remainder 2, when divided by 4 gives remainder 3 and when divided by 5 gives remainder 4?a)33 b)59 c)61 d)49Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Find the least positive integer which when divided by 2 gives remainder 1, when divided by 3 gives remainder 2, when divided by 4 gives remainder 3 and when divided by 5 gives remainder 4?a)33 b)59 c)61 d)49Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Find the least positive integer which when divided by 2 gives remainder 1, when divided by 3 gives remainder 2, when divided by 4 gives remainder 3 and when divided by 5 gives remainder 4?a)33 b)59 c)61 d)49Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Find the least positive integer which when divided by 2 gives remainder 1, when divided by 3 gives remainder 2, when divided by 4 gives remainder 3 and when divided by 5 gives remainder 4?a)33 b)59 c)61 d)49Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Find the least positive integer which when divided by 2 gives remainder 1, when divided by 3 gives remainder 2, when divided by 4 gives remainder 3 and when divided by 5 gives remainder 4?a)33 b)59 c)61 d)49Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
Do you know? How Toppers prepare for CAT Exam
With help of the best CAT teachers & toppers, We have prepared a guide for student who are preparing for CAT : 15 Steps to clear CAT Exam

Download free EduRev App

Track your progress, build streaks, highlight & save important lessons and more!
(Scan QR code)