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Questions
42,963
Question Cluster Subtype Difficulty Status

A boat can travel upstream at a speed of 17 km/h. If the speed of the river is 3 km/h, find the downstream speed of the boat in the same river.

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Boat and Stream Speed 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

A family consists of grandparents, parents and two grandchildren. The average age of the grandparents is 56 years, that of the parents is 27 years and that of the grandchildren is 7 years. What is the average family?

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Average Age Problems intermediate live

A rugby team captain aged 24 years and a hooker who is 6 years older than him have excluded then the average age of the team is increased by 1. If there are 15 players on the rugby team, find the average age of the whole team.

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Average Age Problems intermediate live

If 6 kg of rice costing Rs. 25/kg and 3 kg of sugar costing Rs. 40/kg are mixed together then, what is the average cost of the mixture per kg?

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Alligation and Mixture 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

Two mixtures P and Q contain Hydrochloric acid and Sulfuric acid in the ratio 8 : 7 and 4 : 3 respectively. These two mixtures P and Q are mixed in the ratio 15 : 7 to form a third mixture R, then what will be the ratio of Hydrochloric acid and Sulfuric acid in the mixture R?

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Mixtures and Alligations intermediate live

In a FIFA world cup, Lionel Messi has scored 8 goals in the 5th match, from this the average of the goals are increased by 1 goal. So, find the average number of goals scored by Lionel Messi after the 5th match.

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Cricket-Based Average Calculations intermediate live

A red pipe can fill a tank in 20 hours while the blue pipe can empty the same tank in 25 hours. The tank was half-filled when the red pipe was opened. Find the number of blue pipes that need to be opened after 1 hour of opening the red pipe if the tank has to be emptied in 1 more hour.

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Pipes and Cisterns Problems intermediate live

16 men working 8 hours a day take 10 days to cut a tree whereas 32 children working 10 hours a day take 16 days to cut the same tree. Find the time taken by 13 men and 28 children to cut the same tree.

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Work Efficiency and Time Calculation intermediate live

Prakhar and Bhuvan started a business by investing Rs. 24000 and Rs. 30000 respectively. Bhuvan withdrew half the invested money after 1 year while Prakhar added Rs. 6000 more after 1.5 years. If there is a loss of Rs. 11200 in two years, then how much loss will be suffered by Prakhar?

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Partnership Profit Sharing Problems intermediate live

The average height of the first six students is 170 cm, and the average height of the last eight students is 175 cm. The average height of the total 16 students is 180 cm. Find the average height of the rest two students.

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Average Weight and Height Calculations intermediate live

A tank has 20 liters of Oil and water mixture in the ratio 5 : 3. After some time, 6 liters of the mixture was taken out and replaced with another oil and water mixture but with a different ratio. It was found that the tank had finally 13 liters of Oil and the rest water in the mixture. What was the ratio of oil and water mixture that was used as replacement?

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Mixtures and Alligations intermediate live

A 570 m long train can cross a pole in 38 sec. In how much time it can cross a 660 m long platform.

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Train Problems - Time Speed Distance intermediate live

A can complete a piece of work 3 times as fast as B. If A and B together can complete the work in x days, how many days would B alone take to complete the work?

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Time and Work Problems intermediate live

The ratio of spirit and water in two vessels is 7 : 3 and 2 : 3 respectively, in what ratio should the spirit and water be mixed so that the ratio of spirit and water in the new mixture becomes 3 : 2.

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Mixtures and Alligations intermediate live

A boat can cover a distance of 3 km against the stream in 36 minutes. Find the time taken by the boat to cover a distance of 49.5 kilometres with the stream given that the speed of boat in still water is 8 km/hr.

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Boat and Stream Speed Problems intermediate live

If two friends Varma and Rajak start a business with a capital of Rs 12000 and Rs 16000. After 5 months one other friend Bhagat joined them with a capital of Rs 18000 for 4 months. If the profit at the end of the year is Rs 102000. Find the sum of the profits of Rajak and Bhagat.

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Partnership Profit Sharing Problems intermediate live

The average age of a class of 30 children increases by 0.5 years when 2 children, each 12.5 years old are replaced with 4 new children whose average age is 16 years. Find the initial average age of the class.

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Average Age Problems intermediate live

A, B, and C started a business and invested Rs 10000, 20000, and 30000 respectively. After 2 years their profit is Rs 18000. Find the profit of B.

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Partnership Profit Sharing Problems intermediate live

2 persons A and B are working together and A is 30% less efficient than B. A started a piece of work and completed 75% of the work in 15 days. Find the time in which B will complete the remaining 25% of the work.

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Time and Work Problems intermediate live

Tanks A and B have two outlet pipes. They can empty the tank in 10 minutes and 15 minutes respectively. When the tank is full, both outlet pipes open simultaneously. After some time, it was found that another outlet pipe C was also open. Due to this, it took 4 minutes more to fill the tank. In how many minutes can pipe C empty the tank?

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Pipes and Cisterns Problems intermediate live

Three friends Satish, Bhavya, and Abhi completed the work in 10 days, 15 days & 12 days respectively. They started to work together but Satish left the work after two days and Abhi left the work 1 day before the completion of the work. In how many days the whole work will be completed?

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Time and Work Problems intermediate live

Two vessels P and Q contain 720 liters of a mixture of oil and ghee in which the ratios of oil and ghee are 5 : 4 and 5 : 3 respectively. Mixtures from both vessels are mixed together and the ratio of oil and ghee in the final mixture in its simplest form is P : Q. What is the value of (P + Q)?

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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

From the 50 litres of milk, 5 litres of milk is taken out and 5 litres of water is added in the remaining milk. If this process is repeated again, then find the amount of milk left.

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Mixtures and Alligations intermediate live

Sunil, Manoj, and Rishi started a business in a partnership with the ratio of investment 3 : 2 : 5 respectively. At the end of the year, they earned a profit of Rs. 65,000 which is 13% of their total investment. How much did Rishi invest?

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Partnership Profit Sharing Problems intermediate live

Three pipes P, Q, and R are connected to tyre to fill it with air. They can fill the tyre in 18 minutes, 12 minutes, and 20 minutes. Also, a pipe S is connected, which can completely empty the tyre in 6 minutes.

I. The Time taken by all four pipes to fill the tyre will be 45 minutes

II. The time taken by pipes P, Q, and S to empty 50% of the tank will be 15 minutes

III. If the efficiency of all the pipes gets half of their original units and the capacity of the tyre is increased by 20% then the time taken by all four pipes to fill the tyre completely. will be 1 hour and 48 minutes.

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Pipes and Cisterns Problems intermediate live

A container is filled with a mixture of milk and water in the ratio 10 : 5. If 20 L of water is added to this mixture, the ratio of milk and water becomes 6 : 9. Find the quantity of water in the new mixture.

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Mixtures and Alligations 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

18 workers can make a wall in 10 days working 6 hours a day how many days would be taken by 20 workers working 9 hours per day?

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Work and Time Problems intermediate live

A and B can complete work in 8 days and 10 days respectively. If A works on the first day alone only after which he leaves and then B starts doing the remaining work with another person C and they both complete the remaining work in 7 days, then find the number of days in which the third person C can complete the work alone.

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Time and Work Problems intermediate live

Two friends A and B start a business with a capital of Rs 56000 and Rs 75000. After 6 months A is replaced by his friend C. C invested a capital of Rs 60000. If the profit is Rs 133000 at the end of the year then, find the profit of B (in Rs).

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Partnership Profit Sharing Problems intermediate live

A train of length 250 m crosses a man running on a platform towards the train at the speed of 18 km/h in 20 seconds. What is the speed of the train?

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Train Problems - Time Speed Distance intermediate live

Three masons were tasked to build a wall together, each of them alone could build a wall in 15 days. There was another person, Manish who didn't want the wall to be built, so he used to destroy a part of the wall every day. He alone can destroy a completely built wall in 7 days. If the wall is being built by 3 masons simultaneously and simultaneously being destroyed by Manish, then in how many days will the wall be completed once?

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Time and Work Problems intermediate live

Pipe P can fill a tank in 25 minutes and pipe Q can fill the tank in 30 minutes how much time it required(in minutes) to fill the tank if both pipes are working together?

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Pipes and Cisterns Problems intermediate live

A tank can be filled by two tap P and Q individually in 12 and 15 hours respectively. In how uch time it can be filled if both tap are opened together.

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Pipes and Cisterns Problems intermediate live

If two vessels A and B contain a mixture of acid and milk in the ratio 4 : 3 and 5 : 2. If both the mixtures are mixed in equal quantity and kept in vessel C, then find the final ratio of acid and milk in vessel C.

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Mixtures and Alligations intermediate live

Train ‘A’ and Train ‘B’ take 24 seconds to cross each other while running in opposite directions. Train ‘A’ is 60 metres longer than train ‘B’. If the speed of train ‘A’ is 6 m/s and that of train ‘B’ is 9 m/s, then find the length of the longer train.

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Train Problems - Time Speed Distance intermediate live

A builder decided to build a house in 50 days. He employed 50 men in the beginning and 50 more after 35 days and completed the work on time. If no additional men would have been employed, then find the delay in work.

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Work and Time Problems intermediate live

15 gm of tea is mixed with 25 gm of coffee to form a mixture. 10 gm of this mixture is taken out and 20 gm of tea and ‘x’ gm of milk powder are added. Now, the ratio of tea to coffee to milk powder in the final mixture becomes 5 : 3 : 4. What is the value of ‘x’?

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Alligation and Mixture Problems intermediate live

30 litres of a mixture contains 40% of alcohol and the rest is water. If 2 litres of water be mixed in it, the percentage of alcohol in the new mixture is:

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Mixtures and Alligations percentage 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

Jordan can finish a piece of work in 12 days while It take only 10 days for Tony to finish the same work. In how many days will they together finish the work?

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Time and Work Problems intermediate live

Three friends Satish, Bhavya and Abhi complete the work in 10 days, 15 days & 12 days respectively. They started to work together but Satish left the work after two days and Abhi left the work 1 day before the completion of the work. In how many days the whole work will be completed?

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Time and Work Problems 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

Ramesh started a business along with Suresh and the ratio of the initial capital of Ramesh and Suresh is 3 : 5. Ramesh and Suresh also get a total of Rs. 5000 and Rs. 2500 respectively as their salary from the total profit at the end of 1 year so that share of both the persons (including salary) are same. What is the total profit from the business at the end of a year?

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Partnership Profit Sharing Problems intermediate live

A and B started a business with initial investments in the ratio 5 : 7. After one year their profits were in the ratio 1 : 2 . If the period for A’s investment was 7 months, B invested the money for how many months:

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Partnership Profit Sharing Problems intermediate live

The average weight of 24 persons in a bus is 62.5 kg. In next stop, 2 persons got down from the bus and average weight reduced by 500 gm. In the next stop, 3 new persons whose average weight is 67 kg boarded the bus. Find the average weight of total persons in the bus now.

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Average Weight and Height Calculations intermediate live

A can complete a piece of work in 15 days. A and B together can complete the same work in 10 days. Find the time in which B alone could complete the work. 

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Time and Work Problems intermediate live
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