Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
169 views
in Aptitude by (115k points)
closed by
Choose the least number which when divided by 8, 9, 15, 24, 32 and 36 leaves reminders 3, 4,10,19, 27 and 31 respectively
1. 1435
2. 2875
3. 3075
4. 3275

1 Answer

0 votes
by (114k points)
selected by
 
Best answer
Correct Answer - Option 1 : 1435

Given

The least number which when divided by 8, 9, 15, 24, 32 and 36 leaves reminders 3, 4,10,19, 27 and 31

Concept used

LCM concept will be used 

Calculation

Number = 8, 9, 15, 24, 32 and 36 and remainder 3, 4,10,19, 27 and 31

⇒ 8 - 3 = 5 

⇒ 9 - 4 = 5

⇒ 15 - 10 = 5

⇒ 24 - 19 = 5

⇒ 32 - 27 = 5

⇒ 36 - 31 = 5

⇒ Common difference = 5

⇒ LCM of 8, 9, 15, 24, 32 and 36 = 1440

⇒ Number = LCM - Difference 

⇒ 1440 - 5 = 1435

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

...