Any subject with a science or maths focus is considered a 'quants' subject e.g. Chemistry, Physics, Engineering, Maths. You do not have to study quants at uni to be considered for quants jobs in industry. My friend did a physics degree at Warwick became a trader.
The top consultancy firms (McKinsey, PwC etc) and investment banks (JP Morgan, Citibank etc) recruit from Oxbridge, LSE and Imperial mainly. Yes other unis get a look in but there definately a pecking order. Better for you to go to LSE and study one of their quants degrees - data science, econometrics & mathematical economics, actuarial science etc.