If thrice the daughter's age in years is added to mother's age, the sum is 84. If thrice the mother's age is added to the daughter's age, the sum is 132. Find the age of mother and daughter.
The production of television sets in a factory increases uniformly by a fixed number every year. The factory produced 2262 television sets in the 3rd year and 4902 television sets in the 8th year. Find the production of television sets in the 5th year.
A lamp is 15.4m above the ground. A boy 55cm tall walks away from the base of this post at a speed of 1.7m/s. Find the length of the shadow of the boy after 8seconds.
A wooden toy rocket is in the shape of a cone mounted on a cylinder as shown in the figure.The height of the entire rocket is 35 cm, while the height of the conical part is 25 cm. The base of the conical portion has a diameter of 13 cm,which the base diameter of the cylinderical portion is 10 cm. If the conical portion is painted yellow , choose the area of the rocket painted with yellow colours.
Olivier and Vincent sit on the 6-member board of directors for company X. If the board is to be split up into two 3-person subcommittees, what is the percentage that Vincent and Olivier are included in the same sub-committee?
In this diagram, the triangle represents men, the square represents doctors and the circle represents employed. Find the number of men who are employed but not doctors.