Quantitative aptitude

Question Three pipes A, B and C can fill a cistern in 8 minutes,12 minutes and 16 minutes respectively. What is the time taken by three pipes to fill the cistern when they are opened together? Type multiple_choice Option 3.7 minutes correct Option 4 minutes incorrect Option 4.5 minutes incorrect Option 5 minutes incorrect Solution […]

Question A pipe can fill a tank in 6 hours and another pipe can empty the tank in 12 hours. If both the pipes are opened at the same time, the tank can be filled in Type multiple_choice Option 10 hours incorrect Option 12 hours correct Option 14 hours incorrect Option 16 hours incorrect Solution

Question The top of a 30 m high wall makes an angle of elevation of 60° with the top of a tower and makes an angle of depression of 45° with the bottom of the tower. Find the distance between tower and wall? Type multiple_choice Option 27 m incorrect Option 28 m incorrect Option 29

Question The angle of elevation of the top of an unfinished building at point P which is 120 m away from its base is 30°. If the angle of elevation of the finished building at the same point would be 60°, find the height of the remaining part of the building. Type multiple_choice Option 70

Question A storm breaks a tree. The broken part of tree bends so that the top of the tree touches the ground and makes an angle of 60° with the horizontal plane. If the distance between the base of the tree and the point where top of tree touches the ground is 10 m, find

Question A man sees the top of a tower from a point P. It makes an angle of elevation of 30° with the man’s eyes. If the height of the tower is 100 m, find the distance between man and tower? Type multiple_choice Option 57.8 m incorrect Option 110 m incorrect Option 173 m correct

Question The angle of elevation of the sun when the length of the shadow of a pole is equal to the height of the pole is? Type multiple_choice Option 45° correct Option 30° incorrect Option 60° incorrect Option 90° incorrect Solution Let ∠BAC = θ Let height of pole is h and length of the

Question The tops of two poles are connected by a wire. The heights of the poles are 10 m and 14 m respectively. If the wire makes a 30° angle with the horizontal, find the length of the wire? Type multiple_choice Option 7 m incorrect Option 7.5m incorrect Option 8m correct Option 8.5m incorrect Solution

Question The angle of elevation of the top of a tower at a point X is 30°. On walking 30 m towards the tower if the angle of elevation becomes 60° at point Y, find the height of the tower? Type multiple_choice Option 26 m correct Option 28 m incorrect Option 29 m incorrect Option

Question A man 1.5 meter tall is 30√3 meter away from a building. When he sees the top of building the angle of elevation is 30°. Find the height of the building? Type multiple_choice Option 31.5m correct Option 30 m incorrect Option 53.4m incorrect Option 48 m incorrect Solution: Let AD be the man and