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Questions
42,963
Question Cluster Subtype Difficulty Status

A pipe can fill a cistern in 8 hours. It is filled in 9 hours due to a leakage in the bottom of the cistern. Once when the cistern is full, in how much time it will be emptied by the leak?

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Pipes and Cisterns Problems intermediate live

The average score of Shreyas in 15 innings was 70. In the 16th innings he had scored 6 runs. Find the new average score after the 16th inning.

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Cricket-Based Average Calculations intermediate live

If Pipes A and B can fill a tank in 15 min and 20 mins respectively and pipe C empties the tank in 12 mins. what will be the time taken by A, B and C together to fill the tank completely?

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Pipes and Cisterns Problems intermediate live

200 ml honey is added in some quantity of milk. If another mixture of equal volume having ratio of honey and milk 4 : 11 is mixed in the first mixture then ratio of honey and milk in the final mixture becomes 1 : 4. What is the quantity of milk in first mixture?

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Mixtures and Alligations intermediate live

3 person A, B and C start a business together they invest their capital in the ratio 5 : 6 : 4. The profit at the end of the year is Rs 96000. If B left the work after 6 months then find the profit ratio of A and B.

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Partnership Profit Sharing Problems intermediate live

A person can row with the stream at 8 Km per hour and against the stream at 6 Km an hour. The speed of the current is:

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Boat and Stream Speed Problems intermediate live

Pipe A can fill a cistern in 10 hours while pipe B alone can fill the empty cistern in 20 hoursand pipr C can empty the cistern in 30 hours. If all the three pipes are opened together, how much time it will take to completely fill the cistern?

pipeline-298302
Pipes and Cisterns Problems intermediate live

A cistern has two taps which fill it in 8 minutes and 12 minutes respectively. There is also a waste pipe in the cistern. When all three pipes are opened simultaneously, the cistern is filled in 16 minutes. How long will the waste pipe take to empty the full cistern?

pipeline-298512
Pipes and Cisterns Problems intermediate live

There are 100 boxes in a room, all are filled with mangoes and each has 25 kg weight. If 3 boxes are replaced by 2 empty boxes then what is the average weight of the whole boxes? (The weight of empty boxes is negligible)

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Average Weight and Height Calculations intermediate live

Four persons A, B, C, and D can complete a work in 15 days, 12 days, 10 days, and 20 days respectively. All four contributed to the work but only one of them worked on a day. In how much less time would they finish the work if they work on a rotation basis?

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Time and Work Problems intermediate live

The speed of the two trains is in the ratio 9:10. When they are moving in opposite directions along the parallel tracks. If one train with greater speed takes 7 seconds and the other takes 4 seconds to cross a person then find the time taken by the train to cross each other completely.

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Train Problems - Time Speed Distance intermediate live

P, Q and R can do a job alone in 16 days, 24 days and 32 days respectively. If they started together then in how many days the work be completed?

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Time and Work Problems intermediate live

There is a group of six people namely X, Y, Z, P, Q and R and they all decided to start a news ad agency with some initial investment by each of them. The total sum of money with X and Y is two-third of the money with Z which is Rs. 36000. The total sum of money with P and Q is 150% of the total money with R which is Rs. 35000. Also, the money for investment with P is Rs. 12500 less than that with Q. Find the average of money with X, Y, Z, Q and R.

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Partnership Profit Sharing Problems intermediate live

A can complete 3/4 part of a work in 9 days and B can complete 2/3 part of the same work in 10 days. find how many days they can complete the whole work together.

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Time and Work Problems intermediate live

The average weight of a bus having a total of 45 people was 56 kg. At one stop, 3 people boarded the bus and the average weight of the bus increased to 57.5 kg, what is the average weight of 3 people who boarded the bus later?

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Average Weight and Height Calculations intermediate live

If the average of five consecutive even numbers is 20, then find the highest number.

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Prime Numbers and Number Properties intermediate live

Two pipes X and Y can fill an empty cistern at a rate of 50 m³/min and 60 m³/min respectively. Both pipes work for 6 min. together and then pipe X is get closed. In how much time the remaining part of cistern will be filled by pipe Y if capacity of cistern is 1260 m³?

 

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Pipes and Cisterns Problems intermediate live

A man covered a certain distance by his bicycle at a rate of 8 km/hr and walked back at the rate of 6 km/hr. The whole journey took 7 hours. Find the distance he travelled. 

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Speed, Distance and Time Calculations intermediate live

In a tank there is one inlet pipe and two leaks one at the bottom of the tank and other is at one – third of the height of the tank from the bottom. Inlet can fill the tank in 5 minutes while the leak at the bottom can empty the tank in 30 minutes. If the efficiencies of both leaks is same, then what is the time taken to fill the tank completely when both the leaks are also working?

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Pipes and Cisterns Problems intermediate live

The ratio of efficiencies of 2 inlet pipes P and Q is 11 : 8. Pipe P with an outlet pipe R can fill the tank in 16 hours while Pipe Q with outlet pipe R can fill the tank in 35.2 hours. Find the time in which P and Q together can fill the tank.

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Pipes and Cisterns Problems intermediate live

Ratio of the speeds of Ajay and Ramesh is 2 : 5. If Ajay covers 240 km in 8hrs then in how much time Ramesh will cover 780 km of distance?

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Speed, Distance and Time Calculations intermediate live

The number of passengers traveling in another bus E is equal to the average number of passengers traveling in bus A and C. If the ratio of male passengers to female passengers in bus E is 9 : 8, then find the number of male passengers in bus E.

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Data Interpretation from Charts and Graphs intermediate live

3 pipes P, Q and R together fill a tank in 10 hours. If the ratio of efficiencies of P and Q is 5 : 7 and P and Q together take 35/3 hours to fill the tank then find the time in which R will fill the tank alone.

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Pipes and Cisterns Problems intermediate live

If 12 men or 24 women or 48 children can do a piece of work in 11 months, then 7 men, 7 women and 6 children together can do half of the work in :

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Work Efficiency and Time Calculation intermediate live

10 men can complete a piece of work in 24 days, and 6 women can complete the same piece of work in 40 days. 5 men and 18 women work together for 10 days to complete double the earlier work, if only women were to complete the remaining work in 5 days, then total how many women would be required?

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Work Efficiency and Time Calculation intermediate live

From a container of alcohol, a student took out 20 litres of alcohol and replaced with same amount of water. On repetition of this process thrice, the ratio of alcohol to water became 729 : 271. Find out the initial amount of alcohol present in the container ?

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Mixtures and Alligations intermediate live

If 6 men and 3 women can complete a work in 15 days, and 9 men can do it in 11 days, in how many days 5 men and 5 women to complete the same work.

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Work Efficiency and Time Calculation intermediate live

Three friends Rahul, Vishal and Abhishek start a business with an investment of 9550, 8550 and 7500 respectively. If the profit is 40960 at the end of the year, then find the average profit of Rahul and Vishal.

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Partnership Profit Sharing Problems intermediate live

6 men and 9 women can finish the work in 8 days and 8 men and 20 women can finish the same work in 4 days. In how many days a woman can finish the work?

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Work Efficiency and Time Calculation intermediate live

In a 100 L mixture, ratio of Petrol to Diesel is 2: 3. 10 L of this mixture is taken out and replaced with same quantity of Petrol and this process is repeated one more time, now difference between quantity of Diesel and Petrol is what percent of the initial difference of quantity of Diesel and Petrol?

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Mixtures and Alligations percentage intermediate live

In what ratio must 5% concentrated acid be mixed with 40% concentrated acid to get 25% concentrated acid?

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Mixtures and Alligations intermediate live

Pipes P can fill the tank in 40 hours and pipe Q can empty the tank 120 hours. If pipe Q is situated in the middle of the tank. Find the total time taken to fill the tank.

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Pipes and Cisterns Problems intermediate live

The ratio of milk and water in a mixture is 5 : 4. If we add 4 litres of water, the ratio of milk and water  becomes 9 : 8. What is the quantity of the final mixture?

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Mixtures and Alligations intermediate live

63. Present age of A is 3 years less than present age of B.

Ratio of B’s age 5 year ago and A’s age 4 year hence is

3 : 4 then find present age (in years) of A.

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Age Problems with Ratios intermediate live

In a mixture of milk and water, the water concentration is 25%. A milkman sells 20 litres of the mixture and adds 15 litres of milk as well as 15 litres of water. Now the concentration of milk is 150% greater than that of water. What was the quantity of milk in the original mixture?

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Mixtures and Alligations intermediate live

P and Q starts a business with Rs. 15000 and Rs. 24000 respectively. After 4 months R also joins the business with Rs. 18000. At the end of the year, the earned profit has been shared after donating 15% of total profit to charity. If Q got Rs. 1800 then find the total profit.

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Partnership Profit Sharing Problems intermediate live

The ratio of milk and water in a vessel is 5 : 8. If 6 liter of milk added in it ratio of milk to water becomes 7 : 8. Find the initial quantity of mixture in the vessel.

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Mixtures and Alligations intermediate live

Three pipes can fill a tank in 3 hours, 4 hours, and 6 hours. However, there is a leak in the tank at a height of 1/3 of the tank from the bottom which can drain the rest of the tank in 9 hours. What will be the time taken to fill the tank?

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Pipes and Cisterns Problems intermediate live

The average of 5 consecutive numbers is 9. Find the product of the first number and the last number.

pipeline-57218
Prime Numbers and Number Properties intermediate live

Three partners Sonu, Monu, and Bonu start a business with an investment of Rs.65000, Rs.70000, and Rs.75000 respectively. After 6 months Monu and Sonu both withdrew 25% of their share and Bonu added 20% of his share. If the total profit is 64200 at the end of the year then find the profit difference of the Monu and Sonu.

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Partnership Profit Sharing Problems intermediate live

Ram and Ritik invested money in the ratio of 5 : 7. If the profit earned by Ritik at the end of the year is Rs 2107 then, find the profit earned by Ram (in Rs).

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Partnership Profit Sharing Problems intermediate live

There is a group of 10 members. The average weight of the group is increased by 4 kg when 2 people, who weigh 55 kg together, are replaced by 3 people. Find the average weight of these 3 people.

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Average Weight and Height Calculations intermediate live

P, Q, and R paid a bill in a hotel of Rs. 2000 and the ratio of their bill is 5 : 4 : 11. Then find the amount paid by R.

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Ratio and Proportion Distribution Problems intermediate live

10 Kg of superior quality milk is mixed with 30 Kg inferior quality of milk. The price of superior quality and inferior quality of milk is  Rs. 24 per Kg and Rs. 20 per Kg respectively. Find out the average price per Kg (in Rs.) of the mixture ?

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Alligation and Mixture Problems intermediate live

20 men and 12 women can complete a work in (50/7) days. The ratio of the time taken by one man and one woman alone to complete the work is 2:3. Find the time taken by 15 men and 15 women to complete the work.

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Work Efficiency and Time Calculation intermediate live

Two men and 3 women can complete a work in 5 days whereas 3 men and 3 women can do the same work in 4 days. In how many days can 1 man and 1 woman complete the same work?

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Work Efficiency and Time Calculation intermediate live

A person rows a boat upstream to a certain point A and then returns downstream to the starting point in 4 hours. The speed of the boat in still water is 20 km/h, and the speed of the stream is 5 km/h. Find the distance from the starting point to point A.

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Boat and Stream Speed Problems intermediate live

Glass A contains wine and vodka in the ratio of 3 : 5 and glass B contains wine and vodka in the ratio 5 : 3. In what ratio mixtures from glasses A and B should be mixed so that final mixture formed will have 55% wine?

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Mixtures and Alligations intermediate live

The average of a bowler is defined as how much runs on average a bowler gives before taking a wicket. Ashwin took 49 wickets against Australia at an average of 34 runs while he took 84 wickets against Sri Lanka at an average of 22 runs. What is the combined average of Ashwin against these two teams?

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Cricket-Based Average Calculations intermediate live

A bus completes a journey in 12 hours, the first half at 30km/hr and the second half at 15 km/hr. Find the distance.

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Speed, Distance and Time Calculations intermediate live
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