Quantitative Aptitude for Beginners : Spoon-Feeding Guide

In this lecture we will understand the terms Ratio and Proportions.

Question: Divide $100 between two brothers John and Mat in the ratio 3:1.

Question: If 4/5th of A is equal to 1/5th of B, find the ratio between A and B. After finding out the ratio, comment whether A is greater or lesser than B.

Question: Find the ratio among three numbers a , b and c (a:b:c) if a:b = 4:7 and b:c=5:9.

Question: The ratio of three numbers is 1:2:3. Their product is 2058. Find the smallest & the largest number?

Question: Five years ago salaries of Mat and John was in the ratio 3 : 2. If the salary of both has been increased by Rs. 7560 over the years, the current salary ratio is 9 : 7. What is John’s current salary?

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?

In this lecture we will develop an in depth understanding of Profit & Loss concept and also the formulae to calculate them.

Question: A vendor purchased a Television set at $342 and sold the same at $228. Please comment whether it is a loss or profit to the vendor and also find the percentage of profit/loss.

Question: A Tradesman incurs 10% loss by selling a billing machine for €2,160. At what price should the machine be sold to earn 10% profit?

Question: The selling price of 15 articles is equal to the cost price of 18 articles. Find the gain or loss percent?

Question: A tradesman bought a table and chair for Rs.6000 (INR Indian Currency). He sold the chair at 20% gain and the table at 10% loss thereby gaining 2% on the whole transaction. Find the cost of the chair.

In this lecture we will understand the concept of Simple Interest and we will deduce the formula.

Question: Find the simple interest on $ 100 at 10% interest rate per annum for 9 months?

Question: A sum of $1600 amounts to $1840 in 3 years at simple interest. If the interest rate is increased by 5%, it would amount to how much?

Question: A sum of money lent out at simple interest amounts to €1440 after 2 years and to €1800 after a further period of 3 years. The sum is?

In this lecture we will understand the concept of Compound Interest and we will deduce the formula.

Question: What will be the compound interest on a principal of Rs. 50,000 after 3 years at the rate of 10% p.a. compounded yearly?

Question: Compute the difference between the compound interests on Rs. 10000 for 1 year at 4% per annum compounded yearly and half-yearly?

Question: Find the compound interest on $ 32000 at 20% per annum for 9 months. The interest is compounded quarterly? Also find the total amount.