There are six cities $A, B, C, D, E$ and $F$. $A$ is not a hill station. $B$ and $E$ are not historical places. $D$ is not an industrial city. $A$ and $D$ are not historical cities. $A$ and $B$ are not alike. Which two cities are historical places?

$(i)$ $P, Q, R, S, T$ and $U$ are six students pursuing their Master's degree in six different subjects $-$ English,History,Philosophy,Physics,Statistics and Mathematics.
$(ii)$ Two of them stay in a hostel,two stay as a paying guest $(PG)$ and the remaining two stay at their home.
$(iii)$ $R$ does not stay as a $PG$ and studies Philosophy.
$(iv)$ The students studying Statistics and History do not stay as a $PG$.
$(v)$ $T$ studies Mathematics and $S$ studies Physics.
$(vi)$ $U$ and $S$ stay in a hostel. $T$ stays as a $PG$ and $Q$ stays at home.
Which subject does $Q$ study?

Eight books are kept one over the other. Counting from the top,the second,fifth and sixth books are on Plays. Two books on Plays are between two books on Composition. One book of Plays is between two books on Poetry while the book at the top of the book of Literature is a book of Composition. Which book is fourth from the top?

Five friends $A, B, C, D$ and $E$ are sitting on a bench.
$1.$ $A$ is sitting next to $B$.
$2.$ $C$ is sitting next to $D$.
$3.$ $D$ is not sitting with $E$.
$4.$ $E$ is on the left end of the bench.
$5.$ $C$ is on the second position from the right.
$6.$ $A$ is on the right side of $B$ and to the right side of $E$.
$7.$ $A$ and $C$ are sitting together.
Who is sitting in the centre?

$(i)$ Jayant,Kamal,Namita,Asha and Tanmay are five members of a family.
$(ii)$ They have their birth dates from January to May,each member in one of these months.
$(iii)$ Each one likes one particular item for his/her birthday out of Bengali Sweets,Chocolates,Pastries,Ice Cream and Dry Fruits.
$(iv)$ The one who likes Pastries is born in the month which is exactly middle in the months given.
$(v)$ Asha does not like Ice cream but brings Chocolates for Jayant in February.
$(vi)$ Tanmay who is fond of Bengali sweets is born in the next month immediately after Namita.
$(vii)$ Namita does not like Dry fruits or Ice cream.
Which combination of month and item is true for Jayant?

Rohit,Kunal,Ashish,and John are students of a school. Three of them stay far from the school and one near it. Two study in class $IV$,one in class $V$,and one in class $VI$. They study Hindi,Mathematics,Social Science,and Science. One is good at all the four subjects,while another is weak in all of these. Rohit stays far from the school and is good at Mathematics only,while Kunal is weak in Mathematics only and stays close to the school. Neither of these two nor Ashish studies in class $VI$. The one who is good at all the subjects studies in class $V$. Which two boys are good at Hindi?