Arithmetic PYQ — Page 2

From a container full of orange juice, 7.5 liters was drawn out and replaced by soda water. This process is repeated 5 more time. The ratio of quantity of orange juice and soda water left in the container is 4:5. How much liter of orange juice did the container originally had? [(Use:0.44) 1/6 = 0.802]

A runs 9 times slower than B. If B gives A a start of 80 meters, how far must be the wining post on the tracks so that A and B reach there at the same time?

A swimmer whose speed in swimming pool is 5 km/h, swims between two points in a river and returns back to starting point. He took 20 minutes more to cover the distance upstream than to cover downstream. If the speed of stream is 2 km/h, then the distance between two points is

The water and milk in two vessels are in the ratio:1:1 and 3:8 respectively. In what ratio, the mixtures in the vessels be mixed to obtain a new mixture containing water and milk in the ratio 4:7?

If $525 \equiv (10 + K)( {mod } 7)$ where $K \in \mathbb{N}$, then the least value of $K$ is:

Two pipes can fill a tank in 6 minutes and 12 minutes respectively, and a third pipe can empty the tank at the rate of 18 liters per minute. If all the pipes working together can fill the empty tank in 5 minutes, the capacity of the tank is:

Match List-I with List-II | List-I | List-II | |---|---| | (A) Unit's digit of $2^{11}$ | (I) 2 | | (B) Unit's digits of $11^{132}$ | (II) 1 | | (C) Remainder when $71 \times 73 \times 75$ is divided by 23 | (III) 4 | | (D) Remainder when $7^{30}$ is divided by 5 | (IV) 8 | Choose the correct answer from the options given below:

A man rows a boat such that it covers a distance upstream in twice the time taken by him to cover the same distance downstream. If the speed of stream is 5 km/h, the speed of boat in still water is:

In what ratio water must be added to dilute honey costing Rs.240 per litre so that resulting syrup would be Rs.180 per litre

Pipe A and B can fill a tank in 15 hours and 20 hours respectively. Pipe C can empty the tank in 25 hours. Pipes A, B and C works together but pipe C is closed after 10 hours , then time taken by pipe A and B to fill the remaining tank is:

In a 500 metres race, the ratio of speeds of two participants Meena and Kamal is 4:5 respectively. If Meena has a start of 200 metres, find the distance by which Meena wins.

It is currently 9:40 AM. What will be the time in next 610 hours?

Ravi's speed of rowing in still water is 6 km/hr. He rows between two points in a river and return to the same starting point. He took 30 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:

Two pipes A and B can fill a tank in 5 hours and 6 hours respectively. Pipe C can empty it in 12 hours. If all three pipes are opened together, then the time taken to fill the tank is:

500 g of jaggery syrup has 30% jaggery in it. The quantity of jaggery that should be added to make it 50% of syrup is:

The speed of water current is half the speed of a motor boat. The motor boat travels 15 km downstream in 1 hour. Then the time taken to return to the starting point is:

Two pipes A and B can fill a tank respectively in 30 min and 45 min. Both A and B are opened together for some time and then pipe B is turned off. If the tank is filled in 20 min, then find after how many minutes the pipe B is turned off?

The digit in the unit's place of $6^{500}$ is:

In a 200 m race, Rohan completes the race in 8 seconds and Vivan completes the race in 10 seconds. By how much distance Rohan beats Vivan?

In what ratio must rice at ₹ 60 per kg is mixed with rice at ₹ 90 per kg so that the mixture be worth ₹ 80 per kg?

400 g of apple vinegar has 40% apple juice in it. The amount of apple juice, which should be added to make it 60% in apple vinegar, is:

In a kilometer race P runs at 10 m/sec, Q runs at 5 m/sec then which of the following statement(s) is/ are correct ? (A) P wins the race in 100 sec (B) Q wins the race in 100 sec (C) P defeats Q by 500 m (D) Q defeats P by 500 m Choose the correct answer from the options given below:

The unit's digit of $2^{2025}$ is

Three pipes A, B & C fill a tank in 3 hours working simultaneously. The pipe C is twice as faster as B and B is twice as fast as A. The time taken by pipe A alone to fill the tank is: