**a)A, B and C are three numbers. Let @ (A, B) = Average of A and B, /(A, B) = Product of A and B, and *(A, B) = The result of dividing A by B.**

** 1) The sum of A and B is given by **

- a) /(@(A, B), 2)
- b) *(@(A, B), 2)
- c) @(/A, B), 2)
- d) @(*(A, B), 2)
- e) None of these

** 2) Average of A, B and C is given by**

a)@(/(@(/(B,A),2),C),3)

b)*(@(/(@(B,A),3),C),2)

c)/(*(*(@(B,A),2),C),3)

d)/(*(@(/(@(B,A),2),C),3),2)

e) None of these

**b)There are six persons, P, Q, R, S, T and U, of different heights. Who is the 3rd tallest person? l. S is taller than Q, who is only taller than U. R is taller than T. ll. T is taller than S. R is not the tallest person.**

**c)Six people namely, P, Q, R, S, T and U live in a building of 6 floors. The ground floor is numbered 1st and the topmost floor is numbered 6th Who lives on the top floor?**

- There are two floors between the floors of T and U but neither of them lives on the top floor. The floor of S is immediately above Q’s floor.
- The floor of T is above P’s floor.
- The floor of P is not adjacent to U’s floor. R’s floor is not the top floor.

**d) B*C means B is the son of C.**

**B^C means B is the daughter of C.**

** B % C means B is the wife of C.**

**B $ C means B is the brother of C.**

**B @ C means B is the husband of C.**

** If Q is the mother in law of S, then which of the following expression is definitely true?**

- S * U ^ Q @ R
- Q % R * S ^ U
- U * S % R * P @ Q
- S ^ R % P $ Q
- None of these

**e)Seven persons P, Q, R, S, T, U and V are sitting in a row facing north. Each of them has a different age (in years) among 28, 32, 35, 41, 50, 55 and 75. The following information is known about them,**

**– The one, who is 32 years old, sits third to the right of T.**

** – Q sits adjacent to T, who does not sit adjacent to R.**

**– The average of ages of P and V is the age of T. U sits second to the left of T.**

**– S sits adjacent to the one, who is 32 years old but not P.**

**– R and V are adjacent to each other.**

**– The eldest and the youngest persons are sitting adjacent to each other. Neither P nor S is the eldest or youngest.**

** – The one, who is 75 years old, is not sitting at any end.**