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Questions
42,963
Question Cluster Subtype Difficulty Status

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

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

Two pipes can fill a tank in 3 hours and 4 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 6 hours. What will be the time taken to fill the tank?

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Pipes and Cisterns Problems intermediate live

Two partners A and B start a business by investing Rs. 75,000 and Rs 60,000 respectively. What will the ratio of their profits at the end of the year?

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Partnership Profit Sharing Problems intermediate live

P and Q are two towns. Noel covers the distance from P to Q on cycle at 22 km/hr. However, he covers the distance from Q to P on foot at 8 km/hr. His average speed during the whole journey is ___ km/h.

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Speed, Distance and Time Calculations intermediate live

A child covers a certain distance with his mother by bus with a speed of 30 km/hr in 40 mins. If he wants to cover the same distance in 20 mins, what should be his speed?

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Speed, Distance and Time Calculations intermediate live

A person got his leg injured so his speed became 1/3 of his usual speed and he became late 10 mins late. Find the usual time taken taken by him to cover that distance.

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Speed, Distance and Time Calculations intermediate live

Ram and Sourav have started working on a project together. Ram can alone complete the work in 15 days while Sourav can complete the work alone in 20 days. After 4 days of work, Sourav took a break of 3 days while Ram continued to work. In how many days, the project will be completed? (approx.)

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Time and Work Problems intermediate live

The speed of a boat in still water is 300% more than the speed of the current. The boat takes a total time of 8 hours to cover a distance of 45 km upstream and 45 km downstream. Find the speed of the current.

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Boat and Stream Speed Problems intermediate live

Speed of a boat in still water is 8 km/h. It takes 5 hours to go upstream and 3 hours downstream distance between two points. What is the speed of stream?

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Boat and Stream Speed Problems intermediate live

A train of length 180 meter cross a platform in 15 seconds with a speed of 60 km/h. A man cross the same platform in 4 minute find the speed of man?

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Train Problems - Time Speed Distance intermediate live

In a 64 L mixture of milk and water the ratio of water to milk is 3 : 5. If x litre water is mixed in this mixture, the ratio of water to milk becomes 5 : 8. Find the value of x.

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Mixtures and Alligations intermediate live

To make a 100 litre solution of acid 40% from 50%. How much water must added ?

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Mixtures and Alligations intermediate live

5 men can do a work in 16 days and 8 women can do the same work in 15 days. In how many days 2 man and 3 women can do the work together ?

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Work Efficiency and Time Calculation intermediate live

Rohan is going rafting in the river the ratio between the speed of a boat in still water to the speed of the stream is 7 : 3. If 525 km is traveled downstream in 5 hours then, find the difference between the speed of a boat in still water and the speed of the stream.

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Boat and Stream Speed Problems intermediate live

A 120 meters long train cross a pole in 4.8 sec, then find in what time train will cross a platform, whose length is three times of the length of the train?

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Train Problems - Time Speed Distance intermediate live

Abhi, Rahul & Rola enter into a business. Abhi received 3 8 th of total profit & remaining profit is divided equally between Rahul and Rola. If Abhi’s income increases byRs 420 then total profitincreased from 8% to 16%. Then find capital invested by Rola?

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Partnership Profit Sharing Problems intermediate live

Two pipes A and B can fill the tank in 24 minutes and 32 minutes respectively. Both pipes are opened together simultaneously. After how much time B should be closed so that A can alone fill the remaining tank in 17 minutes?

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Pipes and Cisterns 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

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

P and Q invested Rs. 40000 and Rs. 55000 respectively and started a business. R joined them after 4 months and invested Rs. 60000. The profit at the end of the year was Rs. 180000. Since Q was an active partner, he receives a salary of Rs. 1500 per month out of the profit. Find the amount received by R out of the profit.

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Partnership Profit Sharing Problems intermediate live

Speed of a boat in upstream is 60% less than speed of boat in still water. If the boat can travel 48 km in downstream and 12 km in upstream together in 4 hours then find the speed of stream.

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Boat and Stream Speed Problems intermediate live

The speed of the two trains is in the ratio 6:7. When they are moving in opposite directions along the parallel tracks. If each takes 6 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

A container contains a mixture of two liquids, milk and water in the ratio 3 : 1. When 9 liters of the mixture is replaced by 9 liters of water, the ratio becomes 3 : 4. Find the initial quantity of milk.

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Mixtures and Alligations intermediate live

16 workers working 6 hours a day can build a wall of length 150 meters, breadth 20 m, and height 12 m in 25 days. In how many days 12 workers, working 8 hours a day can build a wall of length 800 m, breadth 15 m, and height 6 m?

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Work and Time Problems intermediate live

Two pipes can fill a tank in 10 hours and 16 hours respectively. A third pipe can empty the tank in 32 hours. If all the three pipes are opened simultaneously then in how much time the tank will be full? (in hours)

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Pipes and Cisterns Problems intermediate live

Average of an arithmetic series of 13 numbers is 19. Find the last number of the series if the first number is 7.

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Prime Numbers and Number Properties intermediate live

A milkman takes out some quantity of milk from a mixture that contains 40% milk (rest is water) and replaced what he had stolen with a mixture having 20% milk only. The mixture then contained only 35% milk. How much percentage of the mixture did he take out initially?

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Mixtures and Alligations percentage intermediate live

A car can cover a distance in 9 hour at the speed of 70 km/hr at what percent should the speed of car increase so distance can covered in 6 hr.

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Speed, Distance and Time Calculations percentage intermediate live

A and B decide to start a business in equal partnership and invested total of Rs. 50000. They hire C on a salary basis and paid him Rs. 20000 every month. A monthly investment of Rs.10000 is required to keep the business running and an earning of Rs. 40000 is made every month. After how much time will A and B have recovered the amount they initially invested?

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Partnership Profit Sharing Problems intermediate live

A is 40% more efficient than B and both can complete a work in 20 days. A and B start work and do it for eight days. If the remaining work is completed by C in 24 days, then find in how many days C will complete the work alone.

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Time and Work 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

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

In what ratio should a milkman mix water and milk such that he earns a profit of 25% by selling the milk at the cost price? (Water is free)

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Mixtures and Alligations profit_loss intermediate live

P and Q started a business with an initial capital in the ratio of 15 : 16, and after two months, R joined them with 50% more initial capital than Q. Only P and Q get Rs. 3250 and Rs. 2900 respectively, out of profit. Salary for managing the business. If the profit share of P including salary, at the end of one year is Rs 23500, then what is the total profit earned by all of them from the business?

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Partnership Profit Sharing Problems intermediate live

Amina mixed 12 kg of good quality rice and 7 kg of poor-quality rice. She sold the mixture at 30% more cost price of good quality rice. If Amina makes a profit of 50% in this transaction, then find the ratio of price per kg of good quality rice to poor quality rice.

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Alligation and Mixture Problems intermediate live

2 partners Uttam and Yuvraj invested Rs. 72000 and Rs. 80000 respectively in a business. They took the salary of Rs. 12000 and Rs. 10000 per month respectively out of the profit. If the profit at the end of the year was Rs. 340000 then how much was received by Yuvraj after deducting the salaries?

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Partnership Profit Sharing Problems intermediate live

A and B invested a total of Rs. 20,000 and started a business. If ‘B’ gets a total profit of Rs. 4500 and the ratio between the profit share of B and total profit is 9 : 16, then find the amount invested by A if both A and B invested for the same time period.

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Partnership Profit Sharing Problems intermediate live

If the time taken by a boat to travel 180 km upstream and 80 km downstream is 5 hours, then find the time taken by the boat to cover 126 km upstream and 56 km downstream.

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Boat and Stream Speed Problems intermediate live

Akhil begins his journey from Gurgaon to Shimla and at the same time Bobby starts from Shimla to Gurgaon. After passing each other they complete their journeys in 4 and 25 hours respectively. What was the speed of Bobby if Akhil's speed was 20 km/hr? 

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Relative Speed and Meeting Time Problems intermediate live

Sum of prices of 3 liters petrol and 4 liters diesel was Rs. 500 in May. Next month, price of petrol increases by Rs. 10/liter and the price of diesel decreases by Rs. 5/liter then sum of prices of 4 liters petrol and 3 liters diesel is Rs. 540. What was the per liter price of petrol in May?

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Percentage Change and Successive Percentage Calculations intermediate live

Rakesh visit a bank in his town, the bank is giving the interest at the rate of 20%. Rakesh decided to deposit Rs.3125 in the bank and after n years he get the amount of Rs.7776. Find the value of n(in years).

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Simple and Compound Interest Calculations intermediate live

The total surface area of a cube is equal to the total surface area of a cuboid. The ratio of the sides of the cuboid is 4 : 5 : 6 and its volume is 3240 cm3 then what is the approximate length of the side of cube?

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Cuboid and Cube Volume Surface Area intermediate live

Find the number of ways of putting five distinct rings on four fingers of the left hand. (Ignore the difference of size of rings and the fingers)

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Probability and Permutations intermediate live

A sum of money amounts to Rs. 2420 and Rs. 2928.2 respectively after adding compound interest for the 2nd and 4th year. Find the amount after completion of 1st year.

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Simple and Compound Interest Calculations compound_interest intermediate live

In how many different ways can 2 pens and 3 pencils be selected from 4 pens and 10 pencils?

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Probability and Permutations intermediate live

Chris invested Rs. 60,000 at the rate of 5% per annum for 2 years on simple interest. He invested the obtained interest for 3 years compounded annually at the same rate. Find the total interest obtained in 5 years (in Rs.). (approx.)

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Simple and Compound Interest Calculations simple_interest intermediate live

In a container, the ratio of milk and water is 5 : 4. In another container, the ratio of milk and water is 7 : 4. In what ratio the mixture from both the containers be taken so that the ratio of milk and water in the final mixture be 56 : 43 ?

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Mixtures and Alligations intermediate live

The area of the circle of diameter 28 cm is numerically equal to the perimeter of the rectangle in magnitude whose length is 8 cm more than its breadth. Find the area of the rectangle.

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Mensuration of Quadrilaterals and Circles intermediate live

Ranjeet invested some money at simple interest of 23% for a certain duration. After the time duration, the final amount Ranjeet received was twice the amount he invested. For what duration of time did Ranjeet invest his money?

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Simple and Compound Interest Calculations simple_interest intermediate live
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