Question
Angles of a triangle are in the ratio 3 : 4 : 5. Find
the sum of the largest and smallest angle of the triangle.Solution
Let the measure of the angles of the given triangle be '3x°', '4x°', and '5x°', respectively. Sum of angles of a triangle = 3x + 4x + 5x = 180° So, x = (180°/12) = 15° Therefore, the sum of smallest and largest angles of the triangle = 3x + 5x = 8x = 8 × 15° = 120° Hence, option a.
Two pipes M and N can fill a tank in 20 hours and 30 hours respectively. The pipes were opened together, but pipe N stopped working after sometime and t...
Three taps A, B and C can fill a tank in 10, 18 and 6 hours, respectively. If B is open all the time and A and C are open for one hour each alternativel...
Pipe ‘A’ takes 15 minutes to fill a tank. Pipe ‘B’ takes 20 minutes to empty the same tank. If pipe ‘B’ is opened 12...
Pipe X and Y can fill a tank alone in 18 minutes and 24 minutes respectively. If all three pipes X, Y and Z together fill the tank in 8 minutes, find th...
Pipe ‘A’ can fill a tank in 14 hours whereas pipe ‘B’ can empty it in 28 hours. If both pipes are opened together while pipe ‘B’ is closed a...
An inlet pipe can fill a tank in 10 hours, whereas an outlet pipe can empty the same tank in 25 hours. Find the time taken by two such inlet pipes and o...
Pipe A and Pipe B together can fill the tank in 15 hours. The capacity of the pipe A is 20% of the capacity of the pipe B. How much time will pipe B alo...
The efficiencies of two inlet pipes, 'P' and 'Q', are in the ratio of 3:5, respectively. When both pipes are open together, the tank is filled in 16 hou...
In what time would a cistern be filled by three pipes whose diameter are 2cm, 2*2/3cm, 4cm running together, when the largest pipe alone fill the cister...
Pipe A alone fill the tank in x hours and Pipe B alone fill the tank in (x – 8) hours. If the efficiency of pipe B is triple of pipe A and pipe A fill...
