LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
51 views
in Aptitude by (30.0k points)
closed by
The least number which when divided by 8, 24, 32, 40 and 48 leaves the same remainder 3 in each case is
1. 482
2. 483
3. 583
4. 383

1 Answer

0 votes
by (54.3k points)
selected by
 
Best answer
Correct Answer - Option 2 : 483

Calculation:

L.C.M of (8, 24, 32, 40, 48) = 480

If 480 is divided by these given number, the remainder is 0.

To leave the same remainder 3, 

The number will be 480 + 3 = 483

∴ 483 is the least number which when divided by 8, 24, 32, 40 and 48 leaves remainder 3 in each case.

In arithmetic and number theory, the least common multiple, the lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by LCM(a, b), is the smallest positive integer that is divisible by both a and b.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...