Disclosure: This question has been posted as Question 3 in Cracku Daily test by the name "Time Distance and Work Test 9" on 01/05/2017

For the question and solution, please visit the link given below

https://cracku.in/cq-cat-2017-free-time-distance-work-test-9

Alternate/Additional solution:

In the solution given, it has been assumed that R is still in his 1st round when P finishes 3 laps. However, another case can be put forth wherein R is in his 2nd round and gets to Q's position. This way the ratio comes out to be 4:3. So the question has two valid answers

On second thought, by the use of options 4:3 can be eliminated as being the answer. Just wanted to share the second solution in case some people might have missed it.

@Wasif Jamal The last sentence of your reply "Though the same...." is exactly the point I am trying to make. The question mentions same point and not same distance, also no reference point has been mentioned in the question for the position, hence for this question 2 answers may be considered valid.

Though through use of options 1 of these answers can be eliminated.

It would be great, if any of the moderators would help settle this.   @Srikanth Lingamneni 

@Akash Chaudhari Maybe you are right but when I first read the question I considered it as exactly same position means that Q was in the 1rst lap so R has to be in the 1rst lap to be in the exactly same position. Though the same point will occur in 2nd lap too but the distance would have been diffrent from the start (not the starting point).

@Wasif Jamal  I get what you are trying to convey, but the track being circular, if you consider a random point "A" on the track then anyone doing multiple rounds would pass that point "A" in each of the round he makes.

Another way to imagine the above would be, If you consider the start line, then any person doing laps on circular lap would cross the start line in each lap. And so that person would be 'exactly'  at the start line during each of his laps.

So  'same position' or 'exactly same position' does not matter as they mean the same in the context of this problem

If instead of 'same position' or 'exactly same position' they had mentioned 'R covers same distance as Q' then there would have been only 1 possible solution i.e 1:3

I hope I am clear in explaining this.

The question states "R is exactly at the same position as Q was...". Had it been "R is at the same position as Q was..." the other case would have been considered.