IAS 2012 — Maths

Mr. Kumar drives to work at an average speed of 48 km per hour. The time taken to cover the first 60% of the distance is 10 minutes more than the time taken to cover the remaining distance. How far is his office?

Two glasses of equal volume are respectively half and three-fourths filled with milk. They are then filled to the brim by adding water. Their contents are then poured into another vessel. What will be the ratio of milk to water in this vessel?

Consider the following information regarding the performance of a class of 1000 students in four different tests: Test | I | II | III | IV Average marks | 60 | 60 | 70 | 80 Range of marks | 30 to 90 | 45 to 75 | 20 to 100 | 0 to 100 If a student scores 74 marks in each of the four tests, in which one of the following tests is her performance the best comparatively?