Can someone with a 2-year gap after graduation and 1 year of work experience still get calls from top B-schools like IIM A, B, and C?

Definitely! Calls from IIMs are not dependent on the gap year but a lot of other factors. However, justifying gap year during interviews is crucial. If you have a genuine reason, then you can always justify it during interviews. 

Will reading Durjoy Dutta books help crack CAT VARC??

never heard of her. But if reviews are good, definitely have a go.

Bhaiya 

Do EWS candidates with average profiles (like 70/70/70) have a realistic chance at new IIMs if they score 90+ in CAT?

Don't aim for 90. That should be your worst case scenario. Always aim for the best. You'll land up somewhere good. Any doubts regarding preparation strategy, you can shoot it here. 

Ca  you describe in detail what your first month of CAT preparation looked like? How did you assess your starting point, choose your resources, and decide your initial strategy?

First have a wide view of course in VARC, DILR, QA.
Then skim through CAT papers of last year. Try attempting those questions without time limit and gauge how you feel. Its ok if you can't solve. But just see if those concepts, questions look familiar. That will give confidence that how much effort is needed to be put in and in what direction.

For resources, I studied Arun sharma book for QA and DILR. For VARC i took an online course. 

For studying you can choose self study or coaching as per you convinience. But have mock test series of atleast 2 coachings. 

Initial strategy was simple, went with my gut feeling. Later improvised on it seeing mock results. Same you follow too.
Mostly try to explore different strategies and have a best one ready by mid october. Will work fine !!

Trust me, CAT is about hard work and consistency. Work hard and attempt smart. That is CAT all about !!

Will reading Durjoy Dutta books help crack CAT VARC??

Heyyyy Shikhar!! Please give us a roadmap for VARC preparation. QA and DILR has a defined syllabus, and we can do the preparation based on it. VARC... is such a nightmare. Does Aeon essays help??

For VARC,  i never specifically studied aeon essays as such. Even when i tried, i got bored because they are around 3000 words (as against 1000 in CAT) and didn't felt much helpful.
I rather would recommend taking a VARC specific course. In it attend lectures, do exercises and sectionals and analyse thoroughly. That would be much more beneficial in my opinion
Also, dont just mark the correct answer in VARC but also when analysing have a justification of why other options were wrong. Then verify your logic with answer key. That will help giving you confidence that your logic application is correct.

I am planning to start my preparation.  Is this the right time to start prep? I feel like I am already late.

Also my profile is not that good so please suggest me what all the things I can do to improve my profile.

 

Whenever you start, it is the best time. Still 6 months to go. 
If you are a serious candidate then dont delay further.
Buy mock test series and course materials and aim to finish the course by September end.
Then in last 2 months focus on practising and improving with mocks, sectionals, question banks. 
That will help scoring high and building exam strategies

Hi Aswin bhaiya! Big fan! Saw you on the youtube live the other day. Very well spoken 🙌

Thanks Aswin !!

Bhaiya 

Do EWS candidates with average profiles (like 70/70/70) have a realistic chance at new IIMs if they score 90+ in CAT?

Focus on scoring high in CAT. Definitely if you are EWS general you will get good calls. I am not so sure about percentage cutoffs for 10th , 12th class if IIMs have.
But for now dont think about calls, just aim to score high in CAT.
All those are things to worry about in december.

Can someone with a 2-year gap after graduation and 1 year of work experience still get calls from top B-schools like IIM A, B, and C?

Definitely !!. For now focus on scoring high percentile. Above 99.75% will guarantee you all calls if you are GEM
Later, for interview have a good justification for gap year. 
My senior had a 2 years gap. Preparing for UPSC. Later she converted IIM A, B.
So not an issue