The 44-year-old was charged with handling Britain's impending exit on Monday after Mr David Davis - his old mentor - quit over Prime Minister Theresa May's proposal to adopt European Union rules on goods after Brexit.
Analysts said the main reason why the Brexit debate has gone round in circles-and why the U.K.'s negotiations with the European Union have been nearly completely stalled for months-is that much of the British political class have never fully understood what the European Union is or how it works.
Conservative chairman Brandon Lewis said: "Maria Caulfield and Ben Bradley have worked hard since the start of the year to promote women and young people on behalf of the Conservative Party".
The PM's official spokesman later said that Cabinet gave its approval to pressing ahead with preparations for a possible "no deal" Brexit as agreed at Chequers last Friday.
In his resignation letter, Bradley inverted May's claim to her MPs on Monday night that failing to fall in behind her plan would risk the Conservatives losing a general election to Labour.
Some Conservative Brexit supporters are still incensed over what they see as her breach of a promise to break cleanly from the EU.
Labour leader Jeremy Corbyn said Mrs May should make way for a Labour administration if her Government can not get its act together quickly.
Politico, amongst other media outlets, have taken to calling Mrs May "the zombie Prime Minister" for her metaphorical refusal to "die" (and be replaced) and the "zombie-like progress towards nowhere in particular" in getting the United Kingdom out of the European Union, with her premiership being propped up by loyalists such as new foreign secretary and former health secretary Jeremy Hunt.
However, some are already calling for May's head. "Time is running short and we are approaching crunch time in negotiations and we continue to have some concerns about the workability of the UK's customs proposals. This has got to be killed and it's got to be killed before recess".
Calling votes of no confidence is the responsibility of the chairman of the 1922 Committee, which includes all backbench Tory MPs.
Eight Cabinet ministers have now departed Mrs May's team over the past year.
"What I want to say to them is Britain is going to be a dependable ally, a country that stands up for the values that matter to the people of this country, and will be a strong confident voice in the world". "They will not prepare for "no deal". Mr Varadkar's attempt of show support for Mrs May follows similar re Brexit negotiator Michel Barnier who appealed for less drama and time to examine the White Paper proposals on their merit.
Bridgen and Dorries are both consistently outspoken, and No 10 will be unsurprised at their stance, but Bradley and Caulfield were not previously regarded as troublemakers.
"What we wanted when we voted Brexit were three things: Control of our own laws back - we haven't got that". She added that she was "sorry, and a little surprised" at his resignation after the discussions in Chequers.