Six roads lead to a country. They may be indicated by letters $X, Y, Z$ and digits $1, 2, 3$. When there is a storm,$Y$ is blocked. When there are floods,$X, 1,$ and $2$ are affected. When road $1$ is blocked,$Z$ is also blocked. At a time when there are floods and a storm also blows,which road$(s)$ can be used?

$(i)$ 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 $VI$. One who is good at all the subjects studies in class $V$. Which two boys are good at Mathematics?

Six students $A, B, C, D, E$ and $F$ are sitting in the field. $A$ and $B$ are from Nehru House while the rest belong to Gandhi House. $D$ and $F$ are tall while the others are short. $A, C$ and $D$ are wearing glasses while the others are not. Which tall student of Gandhi House is not wearing glasses?

$A, B, C, D,$ and $E$ are five persons standing in a bus queue. $A$ is a teacher standing to the right of $D$,who is an advocate. $B$ is a scientist and is standing to the left of $E$,who is an electrician. There are two persons between $B$ and $A$. $C$,who is a banker,stands to the right of $A$. Who is in the middle?

In an examination question paper,there are $5$ items each under list $A$ and list $B.$ The examinees are requested to match each item under list $A$ with its corresponding item under list $B.$ Further it was given that
$(i)$ No examinee has given the correct answer.
$(ii)$ Answers of no two examinees were identical. Find the number of examinees attended the test paper.