Are you preparing for the OSSSC RI, ARI, Amin, SFS, or ICDS Supervisor exams and looking to conquer the arithmetic section? Arithmetic is a crucial part of these exams, testing your ability to solve numerical problems efficiently. To aid your preparation, here are the top 30 multiple-choice questions (MCQs) covering various arithmetic concepts commonly encountered in these exams:
Top 30 Arithmetic MCQS For OSSSC RI, ARI, Amin, SFS, ICDS Supervisor
These multiple-choice questions cover a wide range of arithmetic concepts, including basic operations, percentages, fractions, geometry, and more. Practice solving them to strengthen your arithmetic skills and boost your confidence for the upcoming OSSSC RI, ARI, Amin, SFS, or ICDS Supervisor exams. Good luck!
1. There are two pumps to fill a tank with water. First pump can fill the empty tank in 8 hours, while the second in 10 hours. If both the pumps are opened at the same time and kept open for 4 hours, the part of tank that will be filled up is?
a) 9/10
b) 1/10
c) 2/5
d) 1/5
Answer: a) 9/10
2. A tank can be filled by two pipes in 20 minutes and 30 minutes respectively. When the tank was empty, the two pipes were opened. After some time, the first pipe was stopped and the tank was filled in 18 minutes. After how much time of the start was the first pipe stopped?
a) 5 minutes
b) 8 minutes
c) 10 minutes
d) 12 minutes
Answer: b) 8 minutes
3. Three pipes A, B and C can fill a tank in 6 hours. After working together for 2 hours, C is closed and A and B fill the tank in 8 hours. The time (in hours) in which the tank can be filled by pipe C alone is?
a) 10
b) 12
c) 8
d) 9
Answer: b) 12
4. Two pipes A and B can fill a water tank in 20 and 24 minutes respectively and a third pipe C can empty at the rate of 3 gallons per minute. If A, B and C are opened together to fill the tank in 15 minutes, the capacity (in gallons) of the tank is?
a) 180
b) 150
c) 120
d) 60
Answer: c) 120
5. A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 litres a minute. When the tank is full, the inlet is opened and due to the leak the tank is empty in 8 hours. Find the capacity of the tank?
a) 5760 litres
b) 96 litres
c) 10 litres
d) 24 litres
Answer: a) 5760 litres
6. A tank has two pipes. The first pipe can fill it in 4 hours and the second can empty it in 16 hours. If two pipes be opened together at a time, then the tank will be filled in?
a) 5 and 1/2 hours
b) 10 hours
c) 6 hours
d) 5 and 1/3 hours
Answer: d) 5 and 1/3 hours
7. Two pipes A and B can fill a cistern in 37 and 1/2 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled just in half an hour, if the pipe B is turned off after?
a) 15 minutes
b) 10 minutes
c) 5 minutes
d) 9 minutes
Answer: d) 9 minutes
8. A cistern has two pipes. One can fill it with water in 8 hours and other can empty it in 5 hours. In how many hours will the cistern be emptied if both the pipes are opened together when 3/4 of the cistern is already full of water?
a) 13 and 1/3 hours
b) 10 hours
c) 6 hours
d) 3 and 1/3 hours
Answer: b) 10 hours
9. A tank can be filled by pipe A in 2 hours and pipe B in 6 hours. At 10 A.M. pipe A was opened. At what time will the tank be filled if pipe B is opened at 11 A.M?
a) 12.45 A.M.
b) 5 P.M.
c) 11.45 A.M.
d) 12 P.M.
Answer: c) 11.45 A.M.
10. Three taps A, B, C can fill an overhead tank in 4, 6 and 12 hours respectively. How long would the three taps take to fill the tank if all of them are opened together?
a) 2 hrs.
b) 4 hrs.
c) 3 hrs.
d) 5 hrs.
Answer: a) 2 hrs.
A cistern is provided with two pipes A and B. A can fill it in 20 minutes and B can empty it in 30 minutes. If A and B be kept open alternately for one minute each, how soon will the cistern be filled?
a) 121 minutes
b) 110 minutes
c) 115 minutes
d) 120 minutes
Answer: c) 115 minutes
Two pipes A and B can fill a tank in 36 minutes and 45 minutes respectively. Another pipe C can empty the tank in 30 minutes. First A and B are opened. After 7 minutes, C is also opened. The tank is filled up in?
a) 39 minutes
b) 46 minutes
c) 40 minutes
d) 45 minutes
Answer: b) 46 minutes
Pipe A can fill a tank in 4 hours and pipe B can fill it in 6 hours. If they are opened on alternate hours and if pipe A is opened first, in how many hours, the tank shall be full?
a) 4 and 1/2 hours
b) 3 and 1/2 hours
c) 3 and 1/4 hours
d) 4 and 2/3 hours
Answer: d) 4 and 2/3 hours
A Boy and girl together fill a cistern with water. The boy pours 4 litres of water every 3 minutes and the girl pours 3 litres every 4 minutes. How much time will it take to fill 100 litres of water in the cistern?
a) 36 minutes
b) 42 minutes
c) 48 minutes
d) 44 minutes
Answer: c) 48 minutes
A tap can empty a tank in 30 minutes. A second tap can empty it in 45 minutes. If both the taps operate simultaneously, how much time is needed to empty the tank?
a) 30 minutes
b) 18 minutes
c) 14 minutes
d) 15 minutes
Answer: b) 18 minutes
Pipe A can fill a cistern in 6 hours and pipe B can fill it in 8 hours. Both the pipes are opened simultaneously, but after two hours, pipe A is closed. How many hours will B take to fill the remaining part of the cistern?
a) 2 hours
b) 3 and 1/3 hours
c) 2 and 2/3 hours
d) 4 hours
Answer: b) 3 and 1/3 hours
A tap can fill an empty tank in 12 hours and another tap can empty half the tank in 10 hours. If both the taps are opened simultaneously, how long would it take for the empty tank to be filled to half its capacity?
a) 30 hours
b) 20 hours
c) 15 hours
d) 12 hours
Answer: a) 30 hours
A water tank can be filled by a tap in 30 minutes and another tap can fill it in 60 minutes. If both the taps are kept open for 5 minutes and then the first tap is closed, how long will it take for the tank to be full?
a) 20 minutes
b) 45 minutes
c) 25 minutes
d) 30 minutes
Answer: b) 45 minutes
Three pipes P, Q and R can separately fill a cistern in 4, 8 and 12 hours respectively. Another pipe S can empty the completely filled cistern in 10 hours. Which of the following arrangements will fill the empty cistern in less time than others?
a) Q alone is open
b) P and S are open
c) P, R and S are open
d) P, Q and S are open
Answer: d) P, Q and S are open
A pump can fill a tank with water in 2 hours. Because of a leak in the tank it was taking 2 and 1/3 hours to fill the tank. The leak can drain all the water off the tank in?
a) 8 hours
b) 7 hours
c) 14 hours
d) 4 and 1/3 hours
Answer: c) 14 hours
Three pipes A, B, and C can fill a tank in 6 hours. After working together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is:
a) 10
b) 12
c) 14
d) 16
Answer: c) 14
A tap takes 36 hours extra to fill a tank due to a leakage equivalent to half of its inflow. The inflow can fill the tank in how many hours?
a) 36 hrs
b) 24 hrs
c) 30 hrs
d) 18 hrs
Answer: d) 18 hrs
A pipe of diameter d can drain a certain water tank in 40 minutes. The time taken by a pipe of diameter 2d for doing the same job is:
a) 5 minutes
b) 10 minutes
c) 20 minutes
d) 80 minutes
Answer: b) 10 minutes
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, the slower pipe alone will be able to fill the tank in:
a) 81 minutes
b) 108 minutes
c) 144 minutes
d) 192 minutes
Answer: c) 144 minutes
A pipe can empty a tank in 40 minutes. A second pipe with diameter twice as much as that of the first is also attached with the tank to empty it. The two together can empty the tank in:
a) 8 minutes
b) 13 and 1/3 minutes
c) 30 minutes
d) 38 minutes
Answer: a) 8 minutes
A tap drips at a rate of one drop/ sec. 600 drops make 100ml. The number of liters wasted in 300 days is:
a) 4320000
b) 432000
c) 43200
d) 4320
Answer: d) 4320
Two pipes can fill a tank with water in 15 and 12 hours respectively and a third pipe can empty it in 4 hours. If the pipes be opened in order at 8, 9, and 11 a.m. respectively, the tank will be emptied at:
a) 11 : 40 a.m.
b) 12 : 40 p.m.
c) 1 : 40 p.m.
d) 2 : 40 p.m.
Answer: a) 11 : 40 a.m.
Two pipes can independently fill a bucket in 20 minutes and 25 minutes. Both are opened together for 5 minutes after which the second pipe is turned off. What is the time taken by the first pipe alone to fill the remaining portion of the bucket?
a) 11 minutes
b) 16 minutes
c) 20 minutes
d) 15 minutes
Answer: a) 11 minutes
A pipe can fill a tank in ‘x’ hours and another pipe can empty it in ‘y’ (y > x) hours. If both the pipes are open, in how many hours will the tank be filled?
a) (x – y) hours
b) (y – x) hours
c) xy/x – y hours
d) xy/y – x hours
Answer: d) xy/y – x hours
Two pipes X and Y can fill a cistern in 24 minutes and 32 minutes respectively. If both the pipes are opened together, then after how much time (in minutes) should Y be closed so that the tank is full in 18 minutes?
a) 10
b) 8
c) 6
d) 5
Answer: b) 8
