Six students—J, K, L, M, N, and O—are seated in two different palaces. J and K are from Vibha Palace, while the others belong to Matra Chhaya Palace. M and N are tall, while the rest are short. J, L, and M are wearing caps, while the others are not. Which short student from Matra Chhaya Palace is not wearing a cap?

Rahul, Amit, Prakash, and Gaurav are sons of Ram, Sunil, Pratap, and Sameer, not necessarily in that order. Each father has only one son, and the names of any father and son pair do not start with the same alphabet. Prakash and Gaurav are not the sons of Sunil or Sameer. Sameer is not the father of Rahul. Who is Pratap's son?

Four travelers Raj, Sam, Tim, and Vicky each drive a different colored car (Red, Blue, Green, or Yellow) to a different destination (Agra, Delhi, Jaipur, or Mumbai). 1. The person with the Red car is going to Mumbai. 2. Raj does not have the Yellow car and is not going to Delhi. 3. Vicky has the Blue car and is going to Agra. 4. Sam has the Green car. 5. Tim is not going to Delhi. Who is going to Delhi?