Question

In a pile of 10 books, there are 3 of History, 3 of Hindi, 2 of Mathematics and 2 of English.
Taking from above, there is an English book between a History and Mathematics book, a History book between a Mathematics and an English book, a Hindi book between an English and a Mathematics book, a Mathematics book between two Hindi books and two Hindi books between a Mathematics and a History book. Book of which subject is at the sixth position from the top?
(A) English
(B) Hindi
(C) Mathematics
(D) History.

Answer 1

Hint: Arrange the books in the order given using short letters as indication.

Complete step by step answer:
According to the data given,
$1^{st}$ condition: an English book is between a History and Mathematics book.
H, E, M .
$2^{nd}$ condition: History book is between Mathematics and English book. So following the 1^st order the arrangement will be,
H, E, M, H, E
$3^{rd}$ condition: a Hindi book between an English and Mathematics book. Following the 2^nd condition, the further arrangement will be,
H, E, M, H, E, Hi, M.
$4^{th}$ condition: A Mathematics book between two Hindi books. The further arrangement will be,
H, E, M, H, E, Hi, M, Hi.
$5^{th}$ condition: Two Hindi books between a Mathematics and a History book. The final arrangement will be,
H, E, M, H, E, Hi, M, Hi, Hi, H.
So after following the arrangements given, the $6^{th}$ book from the top is Hindi book.

Note: Do not break the sequence given in the question.
Remember that the direction given is from the top, or else you’ll end up with a wrong answer.