Quantitative Aptitude: Concept Building Course

This lecture will help students in building intuition for understanding and applying the knowledge of percentages.

Question: A pizza cut into 12 equal pieces has to be shared equally among three friends. What percentage of Pizza should each friend get?

In this lecture we will explore the relation among three important topics of Aptitude.

Question: A commodity usually priced at $800 is being offered at 10% discount. How much a customer needs to pay for buying the commodity if there is an additional GST(TAX) of 18% on billed amount after discount?

Question: A movie ticket costs £7 but you purchased five tickets for £28. Assuming no taxes, find out the percentage discount on each ticket?

Question: The price of an article has been reduced by 50%. In order to restore the original price, the new price must be increased by what percentage? (Also included: If 100 is increased by 20% and then 20% is reduced from new number, what will be the final result?)

Question: A man crosses 800m long street in 4 minutes. What is his speed in km per hour?

Question: A car has travelled 100 miles in 10 hours. Find the speed at which the car moved.

Question: You are travelling to a new place taking assistance from Google Maps. The distance shown for the desired location from current location is 12 km. The application suggests that you would reach the destination in 36 Minutes. What speed is being presumed by Google Maps for this travel?

Question: You booked a car with uber to go to school from home. The cab started at 8 AM and reached the school at 8:45 AM. The average speed of cab was 20kmph.

Find the distance between your home and the school.

Question: A man covered a certain distance at some speed. Find the distance travelled given the that: Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more.

Introduction of Time and Work topic

Question: A alone can do a piece of work in 12 minutes and B alone can do that same work in 6 minutes. In how many minutes work will be completed if they work together?

Question: A alone can do a piece of work in 12 minutes. B alone can do that same work in 6 minutes. If they work for a alternately for a minute each time, A beginning, In how many minutes, the work will be completed.

Question: A does 60% of a work in 15 days. He then calls in B and they together finish the remaining work in 6 days. How long B alone would take to do the whole work?

Question: Two pipes A and B can fill a tank in 5 hours and 10 hours respectively. If both pipes are opened together, how much time will be taken to fill the tank?

Question: Pipes A and B can fill a tank in 5 and 10 hours respectively. Pipe C can empty it in 20 hours. If all the three pipes are opened together, then the tank will be filled in how many hours?

Question: Two pipes A and B can fill a tank in 5 hours and 10 hours, respectively. Another pipe C can empty the same tank in 4 hours. First A and B are opened. After 3 hours, C is also opened. In how much time, the tank will be filled.?

Introduction of Boats & Streams topic

Question: A boat can travel at a speed of 15 km/hr in still water. If the speed of the stream is 5 km/hr, find the time taken by the boat to go 80 km downstream.

Question: A boat can travel at a speed of 15 km/hr in still water. If the speed of the stream is 5 km/hr, find the time taken by the boat to go 80 km upstream.

Question: A boat running downstream takes 2 hours to cover a certain distance, while it takes 4 hours 30 minutes to cover the same distance running upstream. What is the ratio between the speed of the boat and speed of the water current respectively?

In this lecture we will understand the concept of Averages and get an overview of the Average formula.

Question: Find the average of 6, 8 and 10.

The average of 13,11,7,9,15,14,19 and X is 12. Find ‘X’.

Question: The average weight of six persons is 75. The average weight of two from them is 75 and average of another two is 55. What is the average of the other two persons?

Question: The average monthly income of A and B is Rs. 11,000.

The average monthly income of B and C is Rs. 12,100.

The average monthly income of C and A is Rs. 10,400.

The monthly income of C is?