Dear Students, SSC has released the notification for CGL 2017. This time again the competition is going to be very stiff. Questions from Quant are asked in Tier-1 and Tier-II as well. Hence, you need to focus on this subject more. The only trick to master Quant is "practice'. So, Practice daily. We are providing topic-wise quant quizzes, solve, learn, succeed
Q1. A and B are two taps which can fill a tank individually in 10 minutes and 20 minutes respectively. However, there is a leakage at the bottom, which can empty a filled tank in 30 minutes. If the tank is empty initially, how much time will both the taps take to fill the tank (leakage is still there)?
(a) 10 min
(b) 60/7 min
(c) 8 min
(d) 9 min
Q2. Pipe A can fill a tank in 3 hours. But there is a leakage also, due to which it takes 3.5 hour for the tank to be filled. How much time will the leakage take in emptying the tank if the tank is filled initially?
(a) 21 hr
(b) 30 hr
(c) 16 hr
(d) 10 hr
Q3. There are three inlet taps whose diameters are 1 cm, 3 cm, and 5 cm respectively. The rate of flow of the water is directly proportional to the square of the diameter. It takes 7 minutes for the smallest pipe to fill an empty tank. Find the time taken to fill an empty tank when all the three taps are opened.
(a) 12 sec
(b) 60 sec
(c) 1.5 min
(d) 2 min
Q4. The efficiency of Ravi and Mayank in doing the same work is 3: 4. If together they can complete a work in 21 days, then in how many days Ravi can complete the work alone?
(a) 49
(b) 30
(c) 24
(d) 40
Q5. A tap can fill an empty tank in 12 hours and a leakage can empty half the tank in 10 hours. If the tap and the leakage are working simultaneously, how long would it take for the empty tank to be filled to half its capacity?
(a) 60 hours
(b) 30 hours
(c) 15 hours
(d) 12 hours
Q6. Pipe A can fill an empty tank in six hours and pipe B can empty the full tank in four more hours. If both the pipes are opened simultaneously, then how long would it take to fill an empty tank?
(a) 15 hours
(b) 24 hours
(c) 18 hours
(d) 30 hours
Q7. Sumit can build a wall measuring 20 ft × 3 ft × 15 ft in 6 days. Dikshit can build a wall measuring 30 ft × 4 ft × 10 ft in 5 days. What is the ratio of the work done by Sumit and Dikshit in one day?
(a) 5 : 8
(b) 6 : 5
(c) 6 : 7
(d) 7 : 5
Q8. Harveen can do a piece of work in 18 days. He worked for 12 days and left. Deepak finished the remaining work in 8 days. In how many days can Deepak alone complete the work?
(a) 21
(b) 22
(c) 23
(d) 24
Q9. A and B can complete a work in 15 days. A is 50% less efficient than B. How long would A take to complete the work alone?
(a) 20 days
(b) 22 days
(c) 24 days
(d) None of these
Q10. If 35 persons can do a piece of work in 6 days, in how many days can 15 persons do it?
(a) 12
(b) 14
(c) 16
(d) 18
Q11. To complete a work, A and B take 30 days, B and C take 24 days, and C and A take 20 days. They all start together and work for 5 days after which B and C leave. How many more days will A take to finish the remaining work?
(a) 11
(b) 28
(c) 33
(d) 18
Q12. Tap a fills a tank in 20 minutes while C empties it at 1/3rd the rate at which A fills it. At 12:00 noon, A and C are simultaneously started and when the tank is 50% full, tap A is turned off. At what time will the tank be empty?
(a) 12:35 pm
(b) 12:45 pm
(c) 12:30 pm
(d) 12:55 pm
Q13. Four plumbers had to repair 364 taps. At the end of 3 days working 7 hours per day they had repaired 168 taps. In order to speed up the work, 3 more plumbers were added who also worked 7 hours daily. If efficiency of each of the plumbers is same, how many additional days would it take to complete the task?
(a) 2 days
(b) 3 days
(c) 4 days
(d) 1.5 days
Q14. Tap A can fill a tank in 16 minutes and tap B can empty it in 8 minutes. If the tank is already 1/2 full and both the taps are opened together, the tank will be either filled or emptied? How long will it take before the tank is either filled or emptied?
(a) Emptied; 16 minutes
(b) Filled; 8 minutes
(c) Emptied; 8 minutes
(d) Filled; 12 minutes
Q15. Three-fourth of a tank is full of water. If 5 litres are added to it, then four-fifth of the tank becomes full. What is the capacity of the tank?
(a) 75 litres
(b) 80 litres
(c) 100 litres
(d) 120 litres
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