Permutation and Combination

Passage

A cricket team of 11 players is to be performed from a group of 15 players- A.B,C,D,E,F,G,H,I,J,K,L,M,N,O. Among the players A,D,K,L,M,N and O are batsman ;B,C,E,F,G and H are bowlers; I and J are wicketkeepers. It is also known that. I. The team must have at least 5 batsmen and exactly 1 wicketkeeper. II. H can be selected only if B is selected. III. F can be selected only if both G and N are selected. IV. If I is selected, then F is also selected. V. K and M cannot be selected together for the team. The same is true for B and G.

Passage

A supermarket has to place 12 items (coded A to L) in shelves numbered 1 to 16. Five of these items are types of biscuits, three are types of candies and the rest are types of savouries. Only one item can be kept in a shelf. Items are to be placed such that all items of same type are clustered together with no empty shelf between items of the same type and at least one empty shelf between two different types of items. At most two empty shelves can have consecutive numbers. The following additional facts are known. 1. A and B are to be placed in consecutively numbered shelves in increasing order. 2. I and J are to be placed in consecutively numbered shelves both higher numbered than the shelves in which A and B are kept. 3. D, E and F are savouries and are to be placed in consecutively numbered shelves in increasing order after all the biscuits and candies. 4. K is to be placed in shelf number 16. 5. L and J are items of the same type, while H is an item of a different type. 6. C is a candy and is to be placed in a shelf preceded by two empty shelve s. 7. L is to be placed in a shelf preceded by exactly one empty shelf.

Passage

Directions for Questions 44 to 47 : Read the given information and the answer the questions that follow. 4 boys: Amir, Biswa, Chintan & Dushyant and 4 girls: Ananya, Bina, Chetana & Divya sit around a circular table facing the centre of the table, such that no 2 girls sit adjacent to each other. Amir sits adjacent to Bina but not to Chetana. Biswa sits adjacent to Chetana but not to Divya. Chintan sits adjacent to Divya but not to Ananya. Dushyant sits adjacent to Ananya but not to Bina.

Passage

Directions: Read the following information carefully to answer the question that follows: MARKS OBTAINED BY A CLASS OF 46 STUDENTS IN A TEST OUT OF 100 Number of Children Marks 4 <10 12 <20 21 <30 28 <40 36 <50 42 <60 46 <70 (Assume each student got integral marks)

Passage

DIRECTIONS: Study the information given below and answer the adjacent questions. A team, consisting of five members, needs to be selected from ten participants to represent their school in the inter-school quiz competition. Among those ten participants, there are four boys – Sayak, Vinay, Rahul and Sanjoy, and at least two of them must be selected. The name of the girls is Poushali, Ankita, Varsha, Winnie, Moumita and Zara. Further it is known that, (I) If Sayak is selected, then neither Moumita nor Zara can be selected. (II) If Vinay is selected, then Poushali must be selected, but Winnie should not be selected. (III) If Rahul is selected, then neither Ankita nor Varsha can be selected.

Passage

DIRECTIONS: Study the information given below and answer the adjacent questions. A team, consisting of five members, needs to be selected from ten participants to represent their school in the inter-school quiz competition. Among those ten participants, there are four boys – Sayak, Vinay, Rahul and Sanjoy, and at least two of them must be selected. The name of the girls is Poushali, Ankita, Varsha, Winnie, Moumita and Zara. Further it is known that, (I) If Sayak is selected, then neither Moumita nor Zara can be selected. (II) If Vinay is selected, then Poushali must be selected, but Winnie should not be selected. (III) If Rahul is selected, then neither Ankita nor Varsha can be selected.