Question
Two pipes A and B fill a square tank in 28 and 36 hours
respectively while a third pipe C can empty it in 63 hours If all three pipes are opened together then what time will they take to fill the tank?Solution
Alternate Method: Let leak = C A B A+B+C Time 28 36 63 Let capacity of total tank = LCM (28,36 & 63) = 7*9*4 L Eff 9 : 7 : 4 So Leak can empty in 1 hr = A+B+C - (A+B) = 4 - (9+7) = 4 - 16 = -12 L Hence leak can empty the tank in = 7*9*4/12 = 21 hours
- 20 defective LED bulbs were mixed with 180 working LED bulbs. One bulb is selected randomly. What is the probability that the selected bulb is defective?
A bag contains (2x + y) red taps, 32 black taps and (3x β y) yellow taps. The probability of picking a red tape at random is 4/13 while the probabilit...
There are (m + 6) red roses, (m + 10) white roses and βmβ pink roses in a bag. If the probability of picking a pink rose is 5/23, then find the valu...
A bag contains 7 (one rupee coins), 4 (two rupee coin) and 5 (ten rupee coin). Find the probability that 3 coins drawn at random are either (two rupee c...
18 rotten bananas are accidentally mixed with 132 good ones. It is not possible to just look at a banana and tell whether or not it is rotten. One banan...
Five squares of a chessboard are chosen at random, the probability that three are of one colour and two of another is
- 6 Boys and 5 Girls sat in a row randomly. What is the probability that no 2 Girls are together?
A bag contains 4 orange balls, 5 black balls, and 6 pink balls. If 3 balls are taken out randomly, what is the probability that all the three balls
- 10 defective calculators got mixed with 90 non-defective calculators. A student takes one calculator randomly. Find the probability that the calculator is ...
40 pens are there in a box where 22 are red pens, βpβ are blue pens and remaining are black pens. If a pen is picked, the probability of getting blu...