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There are two different Geography books, five different Natural Sciences books, three different History books and four different Mathematics books on a shelf. In how many different ways can they be arranged if all the books of the same subjects stand together?

Correct Answer: 829440
There are four groups of books which can be arranged in 4! different ways. Among those books, two are Geography books, five are Natural Sciences books, three are History books and four are Mathematics books. Therefore, there are 4! × 2! × 5! × 3! × 4! = 829440 ways to arrange the books.

Read the following passage and select the most appropriate answer : Nine books are to be arranged form the left to right on a shelf . Of these , four books are leather -bounds , three are cloth -bounds and remaining books are paperbacks. The leather bound books must be together . The paperback books must also be together. The clothbound books need not to be together . The cloth-bound books must be next to each other , if a paperback book is in which of the following position ?

A store has five shelves and average weekly sale is Tk. 30000. Shelf 1 accounted for 1/4 of the store's average weekly sales and shelves 2 and 3 each accounted for 2/3 as much as shelf 1. The shelf 4 alone accounted for as much as shelf 1, then which of the following could have been the average weekly sales of shelf 5 for the store?

There are 48 books on 3 shelves. If 3 books from third shelf are shifted to the second there will be same number of books on first and third shelves and double the number of books on shelf . How many books were there on three shelves originally?

Priya got 9 marks more in History than what she got in Geography. Her history marks are 56% of the sum of her History and Geography marks. What areher Geography marks?

City High School must put together a debating team consisting of four debaters.There are candidates of equal ability : X,Y and Z who are all seniors; and A,B,C and D who are all juniors..The school requires that there should be two seniors and two juniors in the team.It is also necessary that all of the debaters be able to work with one another. *Debaters Y and A cannot work together. *Debaters Z and C cannot work together. *Debaters A and B cannot work together. which of the following statements must be false? 1.Debaters Y and C are never selected together. 2.Debaters Z and D are never selected together. 3.Debaters Z and D are never selected together.

Ten books are arranged in a row following a certain sequence. Among them 3 are History , 3 are Economics, 2 are Maths and 2 are English. From the left, there is an English book between a History and Maths book, a history book between a Maths and an English book, an Economics book between an English and a Maths Book. a Maths book between two Economics books and two Economics two Economics book between a Maths and a History book. Book of which subject is at the sixth position from the left?

In the following passage some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives. Books are our ______ friends. They are our guides. We can learn everything from them. The books contain all the great ______ of the world's leaders and we can learn them by reading the books. The books help us find ______ to our questions. The books never fail us. We should read as ______ books as we can. But all books are not good. So we should ______ only good books. ______ books as we can.

Suppose you want to arrange your English, Hindi, Mathematics, History,Geography and Science books on a shelf. In how many ways can you do it?

In the following passage some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives. Books are our ______ friends. They are our guides. We can learn everything from them. The books contain all the great ______ of the world's leaders and we can learn them by reading the books. The books help us find ______ to our questions. The books never fail us. We should read as ______ books as we can. But all books are not good. So we should ______ only good books. So we should ______ only good books and read them.

In the below dataset which represents subjects liked by students from class 6, determine the frequency of English subject. English, Hindi, Hindi, Marathi, Science, English, Science, English, Mathematics, English, English, History, History, Geography, Mathematics