If 9 θ 11 α 2 = 40 and 13 θ 12 α 3 = 75, then 40 θ 41 α 5 = ?

Direction:  Study the following information carefully and answer the questions given below:
Seven friends Sushil, Gaurav, Mahesh, Chandan, Rajiv, Anil and Lalit have different hobbies, viz. Travelling, Reading, Dancing, Painting, Cooking, Singing and Riding , but not necessarily in the same order. Each of them belongs to a different city, viz. Delhi , Mumbai, Agra, Banglore, Hyderabad, Lucknow and Kanpur, but not necessarily in the same order. Sushil belongs to Hyderabad. Chandan likes Riding . The person who likes Cooking is from Mumbai. The person who like Dancing is from Lucknow. Anil does not belong to Lucknow, Mumbai, Delhi or Banglore. Anil does not like Singing, Reading or Painting. Gaurav does not belong to Agra, Mumbai, Delhi or Banglore. Gaurav does not like Painting, Travelling, Reading or Singing. Mahesh does not like Cooking and he is not from Banglore or Delhi. Neither Chandan nor Lalit belongs to Delhi. Sushil does not like Reading. The person from Agra likes singing.

Who among the following likes Singing? 

Directions: In each of these questions, three words are related in some way. The relationship among the words in the question can best be represented by one of the five diagrams (a), (b), (c), (d) and (e) given below. Mark your answer accordingly.

Cabinet, Home Minister, Minister  

Mrs. and Mr. Gopal have 3 daughters. Each daughter also has a brother. So how many members are there in this family?

What will be the next number in the given series ?
3, 28, 4, 65, 5, 126, 6, ______? 

If 8 α 48, 12 α 120 and 15 α 195, then what is the value of ‘A’ in 19 α A?

Complete the following alphabet series.
ABC, PQR, DEF, STU, ?