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?

In the Olympic Games,the flags of six nations were flown on the masts in the following way:
The flag of America was to the left of the Indian tricolour and to the right of the flag of France. The flag of Australia was on the right of the Indian flag but was to the left of the flag of Japan,which was to the left of the flag of China.
Find the two flags which are in the centre.

$1.$ There is a group of six persons $A, B, C, D, E$ and $F$ from a family. They are Professor,Manager,Lawyer,Jeweller,Doctor,and Engineer.
$2.$ The Doctor is the grandfather of $F$,who is a Professor.
$3.$ The Manager $D$ is married to $A$.
$4.$ $C$,the Jeweller,is married to the Lawyer.
$5.$ $B$ is the mother of $F$ and $E$.
$6.$ There are two married couples in the family.
How is $A$ related to $E$?

There are six persons $A, B, C, D, E$ and $F$ in a school. Each of the teachers teaches two subjects,one compulsory subject and the other optional subject. $D$'s optional subject was History while three others have it as a compulsory subject. $E$ and $F$ have Physics as one of their subjects. $F$'s compulsory subject is Mathematics,which is an optional subject for both $C$ and $E$. History and English are $A$'s subjects,but in terms of compulsory and optional subjects,they are the reverse of $D$'s. Chemistry is an optional subject of only one of them. The only female teacher in the school has English as her compulsory subject. What is $C$'s compulsory subject?

$(i)$ 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?

In a group of six women,there are four dancers,four vocal musicians,one actress and three violinists. Girija and Vanaja are among the violinists while Jalaja and Shailja do not know how to play on the violin. Shailja and Tanuja are among the dancers. Jalaja,Vanaja,Shailja and Tanuja are all vocal musicians and two of them are also violinists. If Pooja is an actress,who among the following is both a dancer and a violinist?