India, Hyderabad: B1/B2 Visa rejected

I had my visa interview a few days back and it did not go well at all. I read through the reddit posts and made to prepare my answers so that I can clearly indicate my travel purpose (business meetings).

My profile:

Mid 20s, female, single, in a tech job, in a US based major corporation, previous travel history to UK, had company letter.

Interview:

VO: Can you state your name?

Me: *states my name, designation and company name*

VO: What is the purpose of your travel?

Me: I need to attend some important business meetings and workshops, and also..

VO interrupts: Where will you be traveling to?

Me: New York

VO: How many days will you stay there?

Me: One week

VO: and why are you needed there?

Me: *explains that there are some important discussions regarding expanding our team in India and also to present some of our work*

VO: which department is this?

Me: tells the department

VO: that's not the HR department then?

Me: no, but we still need to be part of discussions about expansion..

VO interrupts again: who will sponsor the trip?

Me: it's company sponsored, here's a letter from my company *tries to hand her but she says no thanks*

VO: and your trip to UK was for?

Me: to visit the country

VO: i'm refusing your visa today, this paper explains it *hands the blue paper*

The worst part, the reason is stated as 214b, whereas there was no where indicated in my answer that I was planning to overstay.

What went wrong here? I want to reapply but what are my chances and how should I proceed to ensure I'm not met with the same fate again?