Quantitative Aptitude PYQs

What should come in place of the question mark (?) in the following mathematical statement?

?³ ÷ 16 = 108

What will be the ratio of the interests earned by identical sum of money invested at the same rate of simple interest for 6 years and for 15 years respectively?

The selling price and the cost price of an article are ₹6,000 and ₹5,000, respectively. What is the profit percentage?

The following pie chart shows the percentage-wise distribution of the nominal sales figures of laptops of five different companies during a given period.

If the total sales of all the companies taken together is ₹55,00,000, then find the difference between the sales of HP and Apple.

A man rows from J to K (upstream) and back from K to J (downstream) in a total time of 15 hours. The distance between J and K is 300 km. The time taken by the man to row 9 km downstream is identical to the time taken by him to row 3 km upstream. What is the approximate speed of the boat in still water?

A sum invested at a certain rate of interest per annum, compounded annually, amounts to ₹3,600 in 2 years and to ₹6,480 in 4 years. What is the sum invested?

In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 2 ∶ 3 ∶ 5 respectively. If the value of all the coins is ₹5.25, then how many 5 p coins are there in the bag?

If a person travels a certain distance at a speed of 10 km/h, and returns through the same route at a speed of 20 km/h, then what will be the average speed during the whole journey?

A supermarket has sales of ₹1,48,500, ₹2,00,000, ₹1,64,000, ₹1,88,600 and ₹2,40,400 in 5 consecutive months.

How much sales should the supermarket have in the 6^th month so that the average sales for these 6 months become ₹1,88,300?

There is a profit of 10% when an item is sold at \(\frac{5}{6}\) of its actual selling price. What will be the profit percentage on the cost price when the item is sold at its actual selling price?

The average mark obtained in a test by three students is X. If the marks of a new student is also considered, then the average marks increases by 2. What is the marks secured by the new student in the test?  

In a partnership business. A and B invested in the ration of 5 ∶ 6. At the end of 8 months A withdrew his capital. If they shared the eventual profit in the ratio of 5 ∶ 9, then what is the number of months for which B invested his capital?

During a journey a person travels half of the distance at a speed of 18 km/h and the remaining half of the journey at a speed of 22 km/h. What is his average speed for the entire journey? 

D₁ and D₂ can do a piece of work together in 16 days. D₂ and D₃ can do the same work together in 24 days, while D₃ and D₁ can do it together in 48 days. In how many days can all three, working together, do \(5\over6\)  of the work?

E% of 12.5% of 480 = 72. What is the value of E?

In a job, Z₁, Z₂ and Z₃ work for 8, 10 and 15 days,  respectively. The ratio of daily wages of Z₁,  Z₂ and Z₃ is 3 ∶ 4 ∶ 4, respectively. If they receive ₹4,960 as total wages for the work done, then combined share of Z₂ and Z₃ in the total wages received?

The area of the base of a solid cone is 616 cm². If the height of the cone is 15 cm, then what is the volume of this cone?

What is the value of A, if A = [50 - 4 × 5 + {6 ÷ 3 - 1}]?

Study the given table and answer the question that follows.

The table below shows the percentage distribution of students from five different colleges in various disciplines.

Students from the discipline of mathematics in colleges P and R taken together is what percentage of the total number of students in colleges P and R taken together? [Give your answer correct to one decimal place]

A boat can travel 5 km upstream in 15 minutes. If ratio of the speed of the boat in still water to the speed of the stream is 6 ∶ 1, then how much time will the boat take to cover 19.6 km downstream?