Hey Ananya 

Yes, a science student can score a good rank in CLAT. The syllabus of CLAT is just centred to test your general knowledge, aptitude and  language skills. Hence with a good general knowledge, and good practice for rest sections you can score well. Here are some tips.

GK - For static you can refer to the Concised size Pearson or the Arihant’s guide.

For current affairs, first of all develop a habit to read newspapers daily. The Hindu is the newspaper preferred by various CLAT Aspirants.

There is a site called GK today.in which you can go to for current affairs. They have daily quizes based on current affairs which has been proved very usefull for CLAT preparation.

English - For Vocabulary you can refer the Word Power Made Easy. You will come across various words while reading the newspaper too, prepare a list, go through them regularly and try to use them in sentences. You should read the Editorial section of the Hindu for your Reading as well as Vocabulary section of CLAT.

For grammar you can use the Wren & Martin.

Mathematics - For Quantitative aptitude by RS Aggarwal. Other than that previous year question papers and Arihant/ Universal guide migh help too.

Legal Aptitude - Universal’s guide to CLAT and LLB, Pearson CLAT Guide are considered the best.

Logical Reasoning - RS Aggarwal

Make sure that you go through the past year question papers and practice them along with sample papers.

If you are planning to take any coaching in institutes like Career launcher, Bulls eye etc then their reading material covers all aspects. You can refer the books listed above in case you need separate books for any or all the sections.

Best of luck!