Point A (2, 1) divides segment BC in the ratio 2 : 3. Co-ordinates of B are (1, -3 ) and C are (4 , y). What is the value of y ? 

If the fractions $$ {9\over11}$$, $$ {7\over9}$$, $$ {5\over6}$$ and $$ {11\over13}$$ are arranged in ascending order, which one will be the fourth?

A businessman bought an article and sold it at a loss of 5%. If he had bought it for 10% less and sold it for Rs. 33 more, he would have had a profit of 30%. The cost price of the article is 

A rectangular piece of paper of dimensions 22 cm by 12 cm is rolled along its length to form a cylinder. The volume (in cm³) of the cylinder so formed is 

D, E, F are the mid - points of the sides BC, CA and AB respectively of a ΔABC. Then the ratio of the areas of DEF and ΔABC is D, E, F.

The ratio of curved surface area and volume of a cylinder is 1 : 7. The ratio of total surface area and volume is 187 : 770. What is the respective ratio of its base radius and height?

Two numbers are respectively 20% and 50% of a third number. What percent is the first number of the second?

A person rows a distance of $$ {3{3\over4}{ \ km}}$$ upstream in $$ {1{1\over 2}{\ hours}}$$ and a distance of 13 km downstream in 2 hours. How much time ( in hours) will the person take to row a distance of 90 km in still water?