wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Manshi goes to dance class once in every 6 days, karate class once in every 12 days and art class once in every 18 days.

If she last attended all the three classes on 1st of April, when will she next attend them together?

A
10th May
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
8th May
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
6th May
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
7th May
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 7th May
To find when Manshi will next attend the the classes together, we need to find the least common multiple (LCM) of 6, 12 and 18.

Multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ...
Multiples of 12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, ...
Multiples of 18 = 18, 36, 54, 72, 90, ...

36 is the least common multiple of 6, 12 and 18.

Hence, if she attended all three classes on 1st of April, then she will next attend them after 36 days.

i.e., 36 days after 1st of April = 7th of May

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Shahajiraje and Jijabai
HISTORY
Watch in App
Join BYJU'S Learning Program
CrossIcon