What should I do? Should I take a drop and prepare for the JEE Advanced again or just take KJ Somaiya (local college)?

Taking one year drop and preparing for the JEE Advanced again will be beneficial. Here I am sharing one of my cousin’s experiences which may help in deciding.

• One of my cousins was in the same situation somewhat similar to yours. He took JEE for the first time in 2014 and the results were not as expected. 
• He didn’t score well in his JEE Main and score a rank below 14k. He had no decent options as he did not take any other exam. 
• He was disappointed with the whole situation. It did take him a couple of days to be getting back to normal. But he was not going to settle for less.
• He decided to take a chance again and work hard for what he deserves and took another attempt at preparation.
• For the initial few months, he did not feel like studying but as time passed he developed an interest and started working hard. Some difficulties came but as for that time he dealt with them. 
• He took the exams again and the results were JEE Main: 230 and finally JEE Advance: 8.9k. This time he had many options.

The gist of all of this is that if you or anyone, who sincerely believes that he/she is capable of something more, something greater and they are not what the results are reflecting then there is no point in settling with what you are getting. Don’t listen to someone who says college does not matter. College matters, not the name but the environment, the professors, the culture, and in many other ways.

The experience I shared may not the best example for this case, but many had worse results in the first attempt but did better after taking a year’s drop.