A party was arranged by Rahul and total 25 people joined the party. Out of 25 people, 12 like to take tea, 15 like to take coffee and 7 like to take coffee and tea both.

On the basis of the above information answer the following questions:
(i) How many of them like atleast one of the two drinks?

(ii) How many of them only like tea but not coffee?

(iii) How many of them like only coffee but not tea?

(iv) How many of them like neither tea nor coffee?

(v) If the cost of a Tea per cup in the party was RS. 35 and the cost of a Coffee per cup in the party was RS.75 and it is assumed that each person who like only tea or only coffee have consumed two cups of tea and coffee respectively. Then what was the total cost of Tea and Coffee which was consumed in the party by such persons?

In a library 25 students are reading books. It was found that 15 students are reading Mathematics, 12 reading Physics, and 11 students are reading Chemistry. If 5 students are reading both Mathematics and Chemistry, 9 students reading Physics and Mathematics and 4 students reading Physics and Chemistry and 3 students are reading all three subjects

On the basis of the above information answer the following questions:
(i) The number of students reading only chemistry book ?

(ii) The number of students reading only one subject ?

(iii) The number of students reading atleast one subject ?

(iv)  The number of students reading none of the subject ?

(v)  If the total time taken to read chemistry book is 14 hrs, then how many hours were devoted to read only chemistry book by those students who are reading only chemistry book ?

Five friends Rahul, Chetan, Ravi, Sunil and Pramod were playing in a ground, where they sit in a row in a straight line. On the basis of this answer the following questions:

(i) In how many ways these five students can sit in a row?

(ii) Total number of sitting arrangements if Rahul and Chetan sit together:

(iii) What are the possible arrangements if Ravi and Sunil sits at the extrement positions?

(iv) What are the possible orders if Pramod is sitting in the middle ?

(v) What are the possible arrangements if Pramod, Chetan and Ravi sits together

Two friends Saurabh and Manoj were playing cards. There were 52 cards in a deck. On the basis of this information answer the following questions.
(i) In how many ways Saurabh can select all four cards from same suit ?

(ii) In how many ways Manoj can select four cards from different suit ?

(iii) In how many ways Saurabh can select all face cards ?

(iv) In how many Saurabh select two red and two black cards ?

(v) In how many ways Manoj can select two cards of same colour ?

A manufacturer produces 600 computers in third year and 700 computers in seventh year. Assuming that the production increases uniformly by a constant number every year.

On this information answer the following questions:
(i) Find the number of production of computers which increase in every year?

(ii) Find the production in the first year?

(iii) Find total production in 8 years?

(iv) If a_n is given then what will be the common difference?

(v) Find the difference of computers manufactured in 4th year and 8th year?

A man took a loan from the bank of Rs.32500. Hestarted paying Rs.200 in the first month and then increases the payment by Rs.150 every month.

On the basis of this information answer the following questions: 
(i) What type of series is formed, when he increases his amount by Rs.150 every month.

(ii) How much amount he pay in the sixth month?

(iii) How much loan amount he repays after 10 months?

(iv) What will be the nth term of this series?

(v) After how many months (approx) the loan will be cleared?