The UK remains top of an international league table ranking the best universities under 50 years old.
There are 14 British institutions in the Times Higher Education's top 100, the joint highest number alongside Australian universities.
However, only one British institution, Lancaster University, made it into the top 10, climbing from 14th last year to 10th.
The Prime Minster's spokesmen made clear that the PM wants a ban on gender-segregated audiences on campus even where men and women voluntarily separate themselves, but stressed that his comments did not relate to places of worship.
Guest speakers should not be allowed to address gender segregated audiences in universities, David Cameron has said.
The Prime Minister is urging Universities UK urgently to review guidance which endorsed the voluntary separation of men and women in audiences for debates and lectures involving Muslim speakers on campus.
Mr Cameron's comments come after Education Secretary Michael Gove denounced the guidance as "pandering to extremism" and called for it to be withdrawn.
The Prime Minister believes that universities should not beallowed to segregate audiences by gender at the request of guest speakers, Downing Street has said.
Almost 400 students have had their places at the University of Ulster withdrawn after emails of acceptance were accidentally sent to too many applicants.
The student were told they had unconditional offers for the School of Engineering when in fact there were not enough places for them.