1) Consider the following figure and answer the item that follows:

What is the minimum number of different colours required to paint the figure given above such that no two adjacent regions have the same colour ?

2) There are four routes to travel from city A to city B and six routes from city B to city C. How many routes are possible to travel from the city A to city C ?

3) In a queue, Mr. X is fourteenth from the front and Mr.

Y is seventeenth from the end, while Mr. Z is exactly in between Mr. X and Mr. Y. If Mr. X is ahead of Mr. Y and there are 48 persons in the queue, how many persons are there between Mr. X and Mr. Z ?

4) A cuboid has six sides of different colours. The red side is opposite to black. The blue side is adjacent to white. The brown side is adjacent to blue. The red side is face down. Which one of the following would be the opposite to brown?

5) In a meeting, the map of a village was placed in such a manner that south-east becomes north, north-east becomes west and so on. What will south become?

6) P, Q, R and S are four men. P is the oldest but not the poorest. R is the richest but not the oldest. Q is older than S but not than P or R. P is richer than Q but not than S. The four men can be ordered (descending) in respect of age and richness, respectively , as

7) Six persons M, N, O, P, Q and R are sitting in two rows, three in each. Q is not at the end of any row. P is second to the left of R. O is the neighbour of Q and is sitting diagonally opposite to P. N is the neighbour of R. On the basis of above information, who is facing N?

8) Six books A, B, C, D, E and F are placed side by side. B, C and E have blue cover and the other books have red cover. Only D and F are new books and the rest are old. A, C and D are law reports and others are Gazetteers. Which book is a new law report with a red colour?

9) A person travels 12 km due North, then 15 km due East, after that 15 km due West and then 18 km due South. How far is he from the starting point?

10) There are three cans A, B and C. The capacities of A, B and C are 6 litres, 10 litres and 16 litres respectively .

The can C contains 16 litres of milk. The milk has to be divided in them using these three cans only . Consider the following statements:

1. It is possible to have 6 litres of milk each in can A and can B.

2. It is possible to have 8 litres of milk each in can B and can C.

Which of the statements given above is/are correct?