As part of the partial work from home process, Amita went to office every 2nd day, Amrita went to office every 3rd day, and Tosita went to office every 6th day, respectively. All three went to office on 31 October 2021. On how many days did all three attend office on the same date during the remaining two months of the year?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 10.
LCM of 2, 3, and 6 = 6 days
From 1 Nov to 31 Dec = 61 days
Now, multiples of 6 in 61 days:
61 ÷ 6 = 10 full times (i.e., days: 6, 12, 18, ..., 60)
So, all three meet 10 times in Nov–Dec.
= 10 days