Here’s the answer:

1. To find the number of students who like to study English, we need to multiply the total number of students by the fraction 1/6:

Number of students who like to study English = (1/6) * 48 = 8 students.

2. To find the number of students who like to study Malayalam, we need to multiply the total number of students by the fraction 3/6:

Number of students who like to study Malayalam = (3/6) * 48 = 24 students.

3. To find the number of students who like to study Hindi, we need to subtract the sum of students who like English and Malayalam from the total number of students:

Number of students who like to study Hindi = 48 – (8 + 24) = 48 – 32 = 16 students.

Therefore, the answers to the questions are:

1. There are 8 students who like to study English.

2. There are 24 students who like to study Malayalam.

3. There are 16 students who like to study Hindi.