List of top Quantitative Aptitude Questions

What is the value of $k$ for which the following system of equations has no solution: $2x - 8y = 3$ and $kx + 4y = 10$
A function can sometimes reflect on itself, i.e. if $y = f(x)$, then $x = f(y)$. Both of them retain the same structure and form. Which of the following functions has this property?

What is the area under the line GHI -- JKL in the given quadrilateral OPQR, knowing that all the small spaces are squares of the same area?
I. Length ABCDEQ is greater than or equal to 60.
II. Area OPQR is less than or equal to 1512.

What is the radius of the circle?
I. Ratio of its area to circumference is $> 7$.
II. Diameter of the circle is $\leq 32$.
What is the time difference between New York and London?
I. The departure time at New York is exactly 9.00 a.m. local time and the arrival time at London is at 10.00 a.m. local time.
II. The flight time is 5 hours.
Mr. Murthy takes the morning train to his office from station A to station B, and his colleague Mr. Rahman joins him on the way. There are three stations C, D and E on the way not necessarily in that sequence. What is the sequence of stations?
I. Mr. Rahman boards the train at D.
II. Mr. Thomas, who travels between C \& D has two segments of journey in common with Mr. Murthy but none with Mr. Rahman.
Is it more profitable for Company M to produce Q? Statements: I. Product R is sold at a price four times that of Q.
II. One unit of Q requires 2 units of labour, while one unit of R requires 5 units of labour. There is no other constraint on production.
A train started from Station A, developed engine trouble, and reached Station B, 40 minutes late. What is the distance between Stations A and B? Statements: I. The engine trouble developed after travelling 40 km from Station A and the speed reduced to $\dfrac{1}{4}^{\text{th}}$ of the original speed.
II. The engine trouble developed after travelling 40 km from Station A in two hours and the speed reduced to $\dfrac{1}{4}^{\text{th}}$ of the original speed.
What is the value of prime number $x$?
I. $x^2 + x$ is a two-digit number greater than 50.
II. $x^3$ is a three-digit number.
The average of three unequal quotations for a particular share is Rs.110. If all are quoted in integral values of rupee, does the highest quotation exceed Rs.129?
I. The lowest quotation is Rs.100.
II. One of the quotations is Rs.115.
How many people (from the group surveyed) read both Indian Express and Times of India?
I. Out of total of 200 readers, 100 read Indian Express, 120 read Times of India and 50 read Hindu.
II. Out of a total of 200 readers, 100 read Indian Express, 120 read Times of India and 50 read neither.
X says to Y, “I am 3 times as old as you were 3 years ago”. How old is X?
I. Y’s age 17 years from now will be same as X’s present age.
II. X’s age nine years from now is 3 times Y’s present age.

The following questions relate to a game to be played by you and your friend. The game consists of a 4 x 4 board (see below) where each cell contains a positive integer. You and your friend make moves alternately. A move by any of the players consists of splitting the current board configuration into two equal halves and retaining one of them. In your moves you are allowed to split the board only vertically and to decide to retain either the left or the right half. Your friend, in his/her moves, can split the board only horizontally and can retain either the lower or the upper half. After two moves by each player a single cell will remain which can no longer be split and the number in that cell will be treated as the gain (in rupees) of the person who has started the game. A sample game is shown below.

The first table gives the number of saris (of all the eight colours) stocked in six regional showrooms. The second gives the number of saris (of all the eight colours) sold in these six regional showrooms. The third table gives the percentage of saris sold to saris stocked for each colour in each region. The fourth table gives the percentage of saris of a specific colour sold within that region. The fifth table gives the percentage of saris of a specific colour sold across all the regions. Study the tables and for each of the following questions, choose the best alternative.

The table below shows the estimated cost (in Rs. Lakh) of a project of laying a railway line between two places.

Refer to the following Bar-chart and answer the questions that follow

Ghosh Babu has a certain amount of property consisting of cash, gold coins and silver bars. The cost of a gold coin is Rs. 4000 and the cost of a silver bar is Rs. 1000. Ghosh Babu distributed his property among his daughters equally. He gave to his eldest daughter gold coins worth 20% of the total property and Rs. 25000 in cash. The second daughter was given silver bars worth 20% of the remaining property and Rs. 50000 cash. He then gave each of the third and fourth daughters equal number of gold coins and silver bars both together accounting each for 20% of the property remaining after the previous distribution and Rs. 25000 more than what the second daughter had received in cash.

A merchant made a profit of 5 on the sale of a sweater that cost the merchant $15. What is the profit expressed as a percent of the merchant's cost? 
Give your answer to the nearest whole percent. 
 

For the large cars sold at an auction that is summarized in the table above, what was the average sale price per car?

One pen costs 0.25 and one marker costs $0.35. At those prices, what is the total cost of 18 pens and 100 markers? 
 

Quantity A: PS 
Quantity B: SR 

 

Annual Percent Change in Dollar Amount of Sales at Five Retail Stores from 2006 to 2008

In a group of 80 people: 50 like Coffee, 35 like Tea, and 20 like both Coffee and Tea. How many people like only one of the beverages?
A tank can be filled by Pipe A in 4 hours and by Pipe B in 6 hours. If both pipes are opened together, how long will it take to fill the tank?
The following data represent the scores of 7 students in a test: 12, 18, 22, 26, 30, 30, 32. What is the median of the scores?