CUET Mathematics Applied Mathematics > Arithmetic PYQs

A vessel contains 56 litres of mixture of milk and water in the ratio 5:2. How much water should be mixed with it so that the milk to water ratio becomes 4:5

If a person goes 20 kilometre downstream in 5 hours and returns against the stream in 15 hours, then the speed of the stream in kilometre per hour is :

The cost of type A cement is Rs 100 per kg and that of type B cement is Rs 120 per kg. If both are mixed in the ratio of 2:3, the price of the cement mixer per kg will be

Two inlet pipes can fill a tank in 20 minutes and 24 minutes respectively . An outlet pipe can empty 30 liters of water per minute. If all three pipes working together can fill the tank in 15 minutes. The capacity of the tank is :

Jeep A and Jeep b are competing in a motor race. After starting together, Jeep B covers the target of 30 kilometer in 30 minutes 4 seconds. Jeep A covers the target in 30 minutes one second. By what distance will Jeep A beat Jeep B ?

A motor boat can row at the speed of 12 kilometres per hour in Still water . if the river is flowing at 4 kilometer per hour and it takes 12 hours for a round trip , then the distance between the two places is

A dishonest delivery man purchases 20 liters of pure milk and dilutes it by adding 4 liters of water. If he sells the diluted milk at Rs.50/L, then what is the cost price of pure milk?

Pipe A can independently empty a half-filled tank in 3 hours whereas pipe B can alone fill the same tank in 4 hours, when the tank is completely empty. In how much time will the empty tank be completely filled, if both the pipes are opened together?

A runs 5 times faster than B. If A gives B a start of 100 m, how far must the goal be so that A and B reach there at the same time.

In a game of carrom of 100 points, A can give B 20 points and C 40 points, then points B can give C is:

A swimmer's speed in swimming pool is 6 km/hr. He swims between two points in a river and returns back to the starting point. He took 24 minutes more to cover the distance upstream than downstream. If the speed of the stream is 4 km/hr, then the distance between two points is:

Three partners Ramesh, Suresh and Mahesh shared the profit in a business in the ratio 5:4:7 respectively, they invested the money for 10 months, 8 months and 6 months respectively then ratio of their investment is :

A retailer has 250 kg of rice a part of which he sells at 10% profit. The remaining quantity of rice is of low quality and he sold it at 5% loss. Overall he made a profit of 7%. The quantity of rice sold at 5% loss is :

Ram and Ankur make a partnership. Ram invests Rs. 35,000 for 6 months and Ankur invests some money for 7 months. Ankur claims $\frac{4}{7}$ of total profit. Then the money invested by Ankur is :

Pipes A and B can fill a tank in 20 hours and 30 hours respectively and pipe C can empty the full tank in 40 hours. If all the pipes are opened together, how much time will be needed to make the tank full ?

Five litres of water is added to a certain quantity of pure milk costing Rs. 60 per litre. If by selling the mixture at the same price as before, a profit of 20% is made, then the amount of pure milk in the mixture is :

If $x\%$ of $y + y\%$ of $30 = 61\%$ of $xy$, then $x =$

The investment ratio of P, Q and R if their profit ratio is 3 : 5 : 7 respectively and their investment time period ratio is 4 : 5 : 6 respectively is :

The quantity of water that must be added to 36 litres of pure milk at $1\frac{1}{2}$ litres for Rs. 75 so as to have mixture worth Rs. 40 a litre is :

Rahul can run 34.4 m in the given time as Amit runs 50 m. By how much distance Rahul is away from Amit at the winning point, in a two km race ?

Pipes A and B can fill a tank in 5 hours and 6 hours respectively. Another Pipe can empty the full tank in 30 hours. If all three pipes are opened together, then the tank will be filled in :

A container contains 50 litres of milk. From this container 10 litres of milk was taken out and replaced by water. This process is repeated two more times. How much milk is now left in the container ?

A motor boat goes 20 km downstream and comes back to the starting point in 6 hours. If the speed of the boat in still water is 12 km/h, then the speed of the stream is :

The set of all positive integers less than 50 forming the equivalence class of 8 for modulo 11 is :

A, B and C entered in a partnership business. They invested their capitals in the ratio of $\frac{4}{3} : \frac{5}{2} : \frac{6}{5}$. After 5 months, B invested 40% more than what he had invested earlier. If the total profit at the end of one year was Rs 50,550, then how much profit did A earn?

A shopkeeper has 10 litres of pure honey. He sells honey at the cost price of Rs. 300 per litre. After mixing some quantity of water in pure honey he sells the syrup of pure honey and water at Rs. 250 per litre. The quantity of water mixed in pure honey is

A boat takes 6 hr 25 minutes to row upstream a certain distance with a speed which is 14.4 times that of the river current. The time taken by the boat to row down the same distance with same speed is:

In a 1000 m race P beats Q by 100 m and in the same race Q beats R by 200 m. By what distance does P beat R?