A rat maze consists of a striaght corridor, at the end fo which the rats take either right or left turn. If 10 rats are placed in the maze one at a time and the random variable X denotes the number of right turns taken by the rats, then the probability that at least 9 rats will trun the same way is

Now armed with their wands, the champions enter the maze. The maze is divided into boxes and trees are placed in some of those boxes ( 1 tree per grid), a dementor is waiting for Harry on every tree, the only way Harry can stop dementors from following him if he places one of his patronus stags adjacent to every tree. There is a number mentioned out- side every row and column that indicates the number of patronus stag to be placed on every row and column. The value of every box in the maze is given by the product of the the row and column number( eg, value of top left box is 2 xx 3 = 6 ). Harry manages to strategically place stags all over the maze. What do you think will be the sum of values of all boxes in which stags are placed? After successfully fighting of the dementors in the tri-wizard, Harry finally reaches to the end of the maze and grabs the Tri-Wizard Cup which again turns out to be a port key and it transports Harry to IIT Guwahati where more challenges await.

Study the following information carefully and answer the questions given below: Ten persons are sitting in two parallel rows containing five people in such a way that there is an equal distance between adjacent persons. In Row - 1, Mohan, Naresh, Omesh, Rahul and Prateek are seated (but not necessarily in the same order) and all of them are facing South. In Row -2, Ashish, Bipin, Chinu, Dinu and Jatin are seated (but not necessarily in the same order) and all of them are facing North. One seat is vacant in each row. All of them like a different colour-Red, Purple, Yellow, Orange, Blue, Green, Black, White, Pink and Grey, but not necessarily in the same order. 1). Vacant seat of row-2 faces the one who sits third to the right of Rahul. Chinu neither like Orange nor Yellow. The person who likes Grey is facing South Direction. 2). Naresh likes Pink and faces the one who likes Green. Only three seats are there between Rahul and Naresh. 3).The person who likes Orange is facing North Direction. The person who likes Green and Vacant seat of row-2 are next to each other. The one who likes Black sits second to the right of Mohan. 4). Vacant seat of row-1 is neither an immediate neighbour of Naresh nor Rahul. 5). One of the immediate neighbours of vacant seat of row-1 faces Jatin. The one who likes White sits at one of the extreme ends of the line. 6). Only three seats are there between Jatin and the one who faces Omesh. The one who likes Red sits at one of the extreme ends of the line. 7). There are two seats between one who likes Grey and the one who likes White. Ashish sits second to the left of the seat facing Mohan. 8).The person who likes Blue faces North Direction. Bipin is not an immediate neighbour of Vacant seat of row-2. Naresh does not face Dinu. 9). There are three seats between one who likes Red and the one who likes Orange. 10). The person who likes Yellow faces one of the immediate seats of the one who likes Grey. Which of the following combination is not true?