CAT QA ARITHMETIC ONE SHOT PRACTICE QUESTIONS

If the ratio of the time taken by a train to cross a pole and a bridge of length 1.6 km is 1:9, find the length of the train.

These questions are based on the data given below. A contractor employed some workers to finish a project in a specified time. A few days before the project was due, he realized that the actual time would overshoot the scheduled time by 25% so he increased the work force by a third and managed to finish the project on time. Had the contractor not employed any additional workers, what percent of the project would have still been

incomplete by the scheduled time?

It takes six days for three women and two men working together to complete a work. Three men would do the same work five days sooner than nine women. How many times does the output of a man exceed that of a woman?

Two swimmers start swimming towards each other in a river, starting from points A and B separated by 100 mts and continue swimming between A and B by reversing their directions when they reach the other end. When they meet for the first time, the ratio of the distances covered by the first swimmer to that covered by the second swimmer is 4:1. The speed of the first and second swimmer in still water is 6 m/s and 4 m/s respectively. At what distance from point A do they meet for the second time?

In a race of 1760 meters, A runs at a speed that is 20% more than the speed of B. After some time B increases his speed such that his speed is now 20% more than the speed of A. Both of them reached the finishing point simultaneously. What distance had A run when B increased his speed?

A train runs from station A to station B every day. On the way are 2 bridges of 1 km each where its speed needs to reduce by 20% to adhere to the speed limit on the bridges. One day the train starts half an hour late so it increases its speed by 10% but speed limit on the bridges is adhered to. The train reaches 10 mins late. If the total distance between A and B is 123 km , what is the speed limit on the bridge?

Two cyclists are running on a circular track of 500 m . They start from the same point A at the same time. If they meet for the first time at a point 200 m from A, which of the following could be a possible ratio of their speeds?

In a 4000 meter race around a circular stadium having a circumference of 1000 meters, the fastest runner and the slowest runner reach the same point at the end of the 5th minute, for the first time after the start of the race. If the fastest runner runs at twice the speed of the slowest runner, what is the time taken by the fastest runner to finish the race.

Pipes A can fill tank in 4 hrs. while B can fill in 5 hours. There's a drain pipe c that can empty it in 3 hours. Initially A is opened and then, drain pipe C is opened at the instant when the Tank is exactly half full. Pipe B is opened at the instant when the Tank is exactly one fourth filled with water. Find the total time taken to fill the complete tank from the initial moment.