Sadly, many establishments do this, especially if your application was for part time work. From personal experience (of applying for multiple jobs per week for the last 6 months, mostly with no reply), I understand that a rejection with no explanation or suggestions to make a future application can be incredibly frustrating. My only advice would have to be, unfortunately, continue to apply for jobs. Even ones you believe you are "overqualified" for. May I ask if the role you applied for was part time, and if you've ever applied for a Tesco role before? The company are renowned for only accepting colleagues after 3+ applications. I hope this helps in some way, and good luck in your job search.