Seeta and Geeta go for a swim after a gap of every 2 days and every 3 days respectively. If on 1st January both of them went for a swim together, when will they go together next?
13th January
The correct answer is
13 th January
Understanding the Swimming Schedule Problem
This question asks us to find the next date Seeta and Geeta will go for a swim together, given their individual swimming frequencies and the last date they swam together.
They last swam together on 1st January.
To find when they will go together next, we need to find the next day number that appears in both of their sequences of swim days, starting from Day 1.
Finding the Next Common Swim Day using LCM
Since Seeta swims every 3 days and Geeta swims every 4 days, they will swim together again after a number of days that is a multiple of both 3 and 4. The soonest they will swim together again after Day 1 is determined by the Least Common Multiple (LCM) of their frequencies, which are 3 and 4.
Calculating the LCM
- Multiples of 3: 3, 6, 9, 12, 15, ...
- Multiples of 4: 4, 8, 12, 16, 20, ...
The smallest common multiple of 3 and 4 is 12.
So, the LCM of 3 and 4 is 12.
LCM(3,4)=12
Determining the Next Date
They swam together on Day 1 (1st January). The next time they will swim together is 12 days after Day 1.
Next common swim day = Day 1 + LCM(3, 4) days
Next common swim day = Day 1 + 12 days = Day 13
If Day 1 is 1st January, then Day 13 is 13th January.
Important Questions from Mixed Data Interpretation
Consider the following data:
What is the value of x in the above table?
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