CAT Exam  >  CAT Questions  >  A five digit number divisible by 3 is to be f... Start Learning for Free
A five digit number divisible by 3 is to be formed using the numerals 0, 1, 2, 3, 4 and 5, without repetition. The total number of ways in which this can be done is
  • a)
    216         
  • b)
    240                 
  • c)
    600                 
  • d)
    3125
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A five digit number divisible by 3 is to be formed using the numerals ...
If a number is divisible by 3, the sum of the digits in it must be a multiple of 3.
The sum of the given six numerals is 0 + 1 + 2 + 3 + 4 + 5 = 15.
So to make a five digit number divisible by 3 we can either exclude 0 or 3.
If 0 is left out, then 5! = 120 number of ways are possible.
If 3 is left out, then the number of ways of making a five digit number is 4 × 4! = 96, because 0 cannot be placed in the first place from left, as it will give a number of four digits.
Thus, the required number of ways = 120 + 96 = 216.  
View all questions of this test
Explore Courses for CAT exam
A five digit number divisible by 3 is to be formed using the numerals 0, 1, 2, 3, 4 and 5, without repetition. The total number of ways in which this can be done isa)216 b)240 c)600 d)3125Correct answer is option 'A'. Can you explain this answer?
Question Description
A five digit number divisible by 3 is to be formed using the numerals 0, 1, 2, 3, 4 and 5, without repetition. The total number of ways in which this can be done isa)216 b)240 c)600 d)3125Correct answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A five digit number divisible by 3 is to be formed using the numerals 0, 1, 2, 3, 4 and 5, without repetition. The total number of ways in which this can be done isa)216 b)240 c)600 d)3125Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A five digit number divisible by 3 is to be formed using the numerals 0, 1, 2, 3, 4 and 5, without repetition. The total number of ways in which this can be done isa)216 b)240 c)600 d)3125Correct answer is option 'A'. Can you explain this answer?.
Solutions for A five digit number divisible by 3 is to be formed using the numerals 0, 1, 2, 3, 4 and 5, without repetition. The total number of ways in which this can be done isa)216 b)240 c)600 d)3125Correct answer is option 'A'. 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 A five digit number divisible by 3 is to be formed using the numerals 0, 1, 2, 3, 4 and 5, without repetition. The total number of ways in which this can be done isa)216 b)240 c)600 d)3125Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A five digit number divisible by 3 is to be formed using the numerals 0, 1, 2, 3, 4 and 5, without repetition. The total number of ways in which this can be done isa)216 b)240 c)600 d)3125Correct answer is option 'A'. Can you explain this answer?, a detailed solution for A five digit number divisible by 3 is to be formed using the numerals 0, 1, 2, 3, 4 and 5, without repetition. The total number of ways in which this can be done isa)216 b)240 c)600 d)3125Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of A five digit number divisible by 3 is to be formed using the numerals 0, 1, 2, 3, 4 and 5, without repetition. The total number of ways in which this can be done isa)216 b)240 c)600 d)3125Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A five digit number divisible by 3 is to be formed using the numerals 0, 1, 2, 3, 4 and 5, without repetition. The total number of ways in which this can be done isa)216 b)240 c)600 d)3125Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev