CUET UG Mathematics — Arithmetic previous year questions with solutions.
The ratio of the speeds of a motor boat and that of the current of water is 26:4. The boat goes certain distance against the current in 6 hrs. The time taken by the boat to come back is____
From a container full of milk, 10 liters (l) was drawn and replaced by water. This process is repeated one more time. The ratio of quantity of milk and water left in the container is 4:5. Then the capacity of the container is:
'A' can run 1km in 5 minutes 20 seconds and 'B' can run the same distance in 6 minutes. How many meters start can 'A' give 'B' in a kilometer race so that they finish the race together?
A man rows 15 km upstream in 5 hours and 25 km downstream in 5 hours each time, then the speed of the stream is
The remainder, when $5^{60}$ is divided by 7, is
In a game of 100 points, A can give 20 points to B and 28 points to C. How many points can B give C?
The value of $3^{18}(mod \space 4)$ is equal to
A swimmer whose speed in still water is 6 km/hr, swims between two points in a river and returns to the starting point. He took 20 minutes more to cover the distance upstream than downstream. If the speed of the stream is 3 km/hr, then the distance between the two points is:
In what ratio, water must be added to dilute honey costing ₹ 320 per liter so that the resulted syrup would be worth ₹ 280 per liter?
Three pipes A, B and C are installed to fill a tank. Pipes A and B opened together can fill the tank in the same time in which C can alone fill the tank. If pipe B can fill the tank 15 minutes faster than pipe A and 5 minutes slower than pipe C then the time required by pipe A to fill the tank alone is
The cost of type 1 rice is Rs. 20 per kg and type 2 rice is Rs. 30 per kg. If both Type 1 and Type 2 are mixed in the ratio 2:3, then the price per kg of the mixed variety is
In a kilometer race, A beats B by 50 meters or by 5 seconds, then the time taken by A to complete the race is
The least non-negative remainder, when $5^{61}$ is divided by 7, is
A man rows downstream 30 km and upstream 20 km. If he takes 5 hours to cover each distance, then the speed of stream is
Pipe A and B can fill a tank in 20 hours and 25 hours respectively, and pipe C can empty the full tank in 40 hours.If all the pipes are opened together, then how much time will be needed to make the tank full?
In what ratio should a shopkeeper mix two types of rice, one costing ₹20 per kg and another costing ₹40 per kg to get a rice variety costing ₹ 28 per kg?
A runs 3 times as fast as B. If A gives B a start of 30 meters, how far must the goal on the race course be so that A and B reach it at the same time?
The unit's digit of $12^{12}$ is equal to:
Two pipes A and B can fill a tank in 20 minutes and 30 minutes respectively. Both pipes A and B are opened together for some time and then pipe B is turned off. If the tank is filled in 15 minutes, then time for which the pipe B works is:
The non-negative remainder when $7^{30}$ is divided by 5 is
The speed of a motorboat in still water and that of the current of water is in a ratio of 27:5. The boat goes along the current from point A to point B in 3 hours 40 minutes. How much time will it take to come back from B to A?
A shopkeeper has 300 Kg millet, a part of which he sells at 10 % profit. The remaining quantity of millet was of poor quality, and he sold it at 5 % loss. In the whole transaction, he made a profit of 7 %. The quantity of the millet sold at 5 % loss is:
Two pipes can fill a cistern in 8 and 12 hours respectively. The pipes are opened simultaneously, and it takes 12 minutes more to fill the cistern due to leakage. If the cistern is full, what will be the time taken by the leakage to empty it?
The least non-negative remainder when $3^{128}$ is divided by 7 is: