Harit starts from Point Y and drives 47 km towards the east. He then takes a right turn, drives 23 km, turns right and drives 26 km. He then takes a right turn and drives 52 km. He takes a left turn, drives 21 km. He then turns left, drives 11 km to stop at Point Z. How far (shortest distance) and towards which direction should he drive in order to reach Point Y again? (All turns are 90-degree turns only unless specified.)
One-third of a journey is covered at a speed of 31 km/hr, the next one-third of the journey is covered at a speed of 4 km/hr, and the remaining journey is covered at a speed of 34 km/hr. The average speed (in km/hr, rounded off to one decimal place) for the entire journey is:
In ΞABC, DE β₯ AC, where D and E are the points on sides AB and BC, respectively. If BD = 10 cm and AD = 17 cm, then what is the ratio of the area of ΞBDE to the trapezium ADEC?
A sum, when invested at 20% simple interest per annum, amounts to βΉ8,640 after 3 years. What is the simple interest (in βΉ) on the same sum at the same rate in 2 years?
