Seeta and Geeta go for a swim after a gap of every 2 days and every 3 ...
Solution:
To find out the next time they go for a swim together, we need to find the LCM (Least Common Multiple) of 2 and 3.
Step 1: Write the multiples of 2 and 3 till we get a common multiple.
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60...
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60...
Step 2: We can see that the first common multiple of 2 and 3 is 6. So, the LCM of 2 and 3 is 6.
Step 3: We know that Seeta goes for a swim after every 2 days and Geeta goes for a swim after every 3 days. They went for a swim together on 1st January. So, the next time they will go for a swim together will be after 6 days.
Step 4: Therefore, they will go for a swim together next on 7th January.
Hence, the correct answer is option A.
Seeta and Geeta go for a swim after a gap of every 2 days and every 3 ...
I think answer is 13th of January option D.
Explanation.
They go next time after a "gap" of days, so those days are to be omitted. This can be a bit confusing as number system is used by some students.
This problem require just a simple trick. Write on which days they both would go respectively.
Seeta(2 Day gap) : 1st || 4th || 7th || 10th || 13th
Geeta(3 Day gap) : 1st || 5th || 9th || 13th
Count and eliminate the days, because there is a gap written in the question. Meaning whole 2/3 days are to be skipped.