Question
A card is drawn randomly from a collection of total face
cards. What is the probability that the drawn card is a Queen?Solution
Three face cards (Queen, King, and Jack) are in each of the four suits (Heart, Diamond, Spade, and Club). So, total number of face cards = 4 × 3 = 12 There is 4 Queen one in each suit (Heart, Diamond, Spade, and Club). n(E) =4 Required probability, = 4/12 = 1/3
A car travels at a speed of 60 km/h for the first 2 hours, then at 80 km/h for the next 3 hours, and finally at 100 km/h for the last 1 hour. What is th...
Two motorcycles, a Honda and a Hero, set off simultaneously from the same location, aiming for the same endpoint. The Honda travels at a speed of 48 km/...
It takes 12 hours less to travel from point 'C' to point 'D' at a speed of 50 km/h than it takes to travel the same distance at 20 km/h. If 50% of the d...
'A' and 'B' are running on a circular track of length 3600 metres. 'A' is running clockwise at 4 m/s while 'B' is running anti-clockwise at 6 m/s. Find ...
A train is travelling at the rate of 45 km/hr. How many seconds it will take to cover a distance of 5/8 km?
Two ladies simultaneously leave cities A and B connected by a straight road and travel towards each other. The first lady travels 3 km/hr faster...
The distance between two stations is 1520 km. Train A takes 9 hours longer than Train B to cover this distance. If Train B travels 72 km/h faster than T...
A motor-cycle covers 140 km with a speed of 40 km/hr. find the speed of the motor-cycle for the next 140 km journey so that the average speed of the who...
A boat travelled for the first 90 km at a certain speed in 3 hours. After that, the speed of the boat decreased by 2 km/h. If the boat took a total of 5...
The speed of a car is 60% more than the speed of a bus. The train can cover (d-250) km distance in (t-3.5) hours. The car covers (d+140) km distance in ...