Dear Reader, Below are two practice arrangement questions. These are bit lengthy and would take a bit of time to solve. Good concentration is required throughout.
Question 1
Ramesh Rajamanickam and Sucharitha Mohan wanted to buy certain books for their small library. They arranged these books as a pile one over the other. There are 3 computer science books, 3 reasoning books, 2 maths books, 2 interview books and 2 English books. A Computer science book is either at the top most or bottom most level.
Starting from the top a reasoning book is between a maths book and computer science book (either of the mentioned Maths or Computer Science books may be at top of reasoning book), an English book is between a maths book and computer science book. A reasoning book is third book from the bottom. An interview book is between a maths book that is at the sixth place from the top and a reasoning book . Another interview book is in between two reasoning books. A computer science book is in between a reasoning and English. Which book is at the fourth place from the bottom?
a) Computer Science b) English c) Reasoning d) Interview.
Answer : d) Interview.
Solution :
It is definitely known that reasoning book is third from the bottom. Hence it has to be at 10th place.
Maths book is at the 6th place.
It is given from the top reasoning book is in between computer science and Maths. The top most book can be computer science or maths. But in another place it is given that computer science book is either at the top most or bottom most. One computer science book is said to be in between reasoning and English books. One more is between maths and English. So one has to be at the top. Hence 1st,2ndand 3rd places will be occupied by Computer Science, Reasoning and Maths books respectively. It is given English Book is between Maths and Computer Science book from top. Hence the 4th and 5thplaces have to be occupied by English and Computer Science books respectively.
An interview book is between a maths book that is at the sixth place from the top and a reasoning book and another interview book is in between two reasoning books. This condition is possible if we arrange Interview, Reasoning and another Interview books at 7th,8th and 9th positions.
A computer science book is in between a reasoning and English. This can be arranged by placing a Computer Science book and English book at 11th and 12th places respectively.
When the books are arranged they will appear as under:
Top to bottom:
1) Computer science
2) Reasoning
3) Maths
4) English
5) Computer Science
6) Maths
7) Interview
8) Reasoning
9) Interview
10) Reasoning
11) Computer Science
12) English
Going by this the fourth book from the bottom is an Interview book.
Question 2
Harish Rawat of Haryana a student studying in MK College of Engineering, Rohtak purchased ten book and arranged them one over the other.
There are 3 books of Biology, 3 books of Reasoning, 2 books of Physics and 2 books of Chemistry.
Taking from above, in order, there is a Chemistry book between a Biology and Physics book, a Biology book between a Physics and an Chemistry book, a Reasoning book between an Chemistry and a Physics book, a Physics book between two Reasoning books and two Reasoning books between a Physics and a Biology book. Which subject book is at the fifth position from the bottom ?
a) Chemistry b) Reasoning c) Physics d) Biology
Answer : b) Reasoning.
There are ten books . The important point to note is that the mentioning of 'Taking from above, in order' prior to question statements. This makes your life much easier when it comes to arranging.
Now lets start arranging from top in order based on the statements given.
There is a Chemistry book between Biology and Physics book. This means Biology, Chemistry and Physics books have to occupy 1st, 2nd and 3rd places from top.
Second statement states that there is a Biology book between a Physics and an Chemistry book. This means a Biology book has to occupy 4th place and a chemistry book has to occupy 5th place. (By this Biology book will lie between Physics book at 3rd place and Chemistry book at 5th place)
Then comes the third statement which states that a Reasoning book lies between Chemistry and a Physics book. This implies a Reasoning book has to occupy 6th place and a physics book has to occupy 7th place. (By this Reasoning book at 6th place lies between Chemistry book at 5th place and a Physics book at 7th place)
Fourth statement says a physics book exists between two reasoning books. This means 8th place is to be occupied by a Reasoning book so that the physics book lies between a Reasoning book at 6th and another reasoning book at 8th place.
Last statement says there are two reasoning books in between a Physics and a Biology book. This means 9th place has to be occupied by a Reasoning and 10th place has to be occupied by a Biology book. By this Two reasoning books at 8th and 9th places will lie between a Physics book at 7th place and a Biology book at 10th place.
Going by information provided when books are arranged. They will appear in this order from the top to bottom.
1 Biology
2 Chemistry
3 Physics
4 Biology
5 Chemistry --
6 Reasoning
7 Physics --
8 Reasoning
9 Reasoning
10 Biology
Going from the top Chemistry book is between Biology and Physics—Chemistry will appear in the second place from the top. A biology book is between Physics and chemistry – so Biology will appear in the fourth from top.
Reasoning book is between from Chemistry and Physics and hence reasoning will appear in the sixth place from the top. This is sufficient to answer the question – viz. fifth book from the bottom.Arrangement of other books will appear as given above.