List of top Quantitative Aptitude Questions

Consider seven integers; whose range is 80 and median is 240. The median for the three smallest integers is 180. What is the possible range for the largest three integers?
I. 75
II. 24
III. 0
If “p” is completely divided by the number 17, and \( p = x^2 \cdot y \), where x and y are distinct prime numbers, which of these numbers must be divisible by 289?
If “x” is a positive integer, is \( x>3 \)?
(1) \( 10^{51} 55^{7} \) is an integer.
(2) \( 10^{51} 12^{11} \) is an integer.
If “m” is a positive integer, is \( m^2 + 1 \) when divided by 10 leaves remainder ZERO?
(1) \( 101^{16} \times m \), when divided by 2 leaves a remainder 1.
(2) \( 101^{16} \times m \), when divided by 5 leaves a remainder 2.
If “P” is a positive integer, is \( P^4 + 7 \) an odd number?
(1) “P” is the smallest integer such that it is divisible by all the integers from 51 to 55, inclusive.
(2) \( 13^P \) is an odd number.
If \( p^2 \) is an integer and \( \sqrt{p^6 - p^4 - q - 1} = 10 \), what is the value of \( p^2 \)?
(1) \( p^2 = \sqrt{p^2 + 20} \)
(2) \( q = \sqrt{q + 2} \)
If \( x \) is a number such that \( x^2 - 5x + 4<0 \) and \( x^2 - 3x + 2<0 \), which of the following can be the value of \( x \)?
A certain cafeteria sells donuts and pizzas. Is the number of people who bought donuts more than the number of people who bought pizzas?
(1) Of the people who bought donuts, 30 percent of them also bought pizzas.
(2) Of the people who bought pizzas, 40 percent of them also bought donuts.
Lines "l" and "k" are perpendicular to each other. And line "l" passes through points \( (4,1) \) and \( (8,-1) \). What is the equation of the line "k" which passes through the point \( (3,1) \)?
In a certain show, a lottery ticket is numbered consecutively from 100 through 999 (both inclusive). What is the probability that a randomly selected ticket will have a number with a ten’s digit as “3”?

In the diagram above, triangle PQR has a right angle at Q. What is the ratio of the area of triangle PQS to the area of triangle QRS? 
(1) Line segment \( QS \) is perpendicular to \( PR \) and has a length of 12. 
(2) PQR has a perimeter of 60.

In the figure above, PRS is a triangle, what is the measure of the angle PSQ? 
(1) \( QS = QR = 1 \) 
(2) \( PR = 2 \)

By what percent was the price of a certain Tab discounted for a sale?
(1) The price of the tab was sold with a discount of 50.
(2) The price of the tab before it was discounted for the sale was 25 percent greater than the discounted price.
If \( p<x<q \) and \( r<y<s \), is \( x>y \)?
(1) \( p<r \)
(2) \( q<r \)
If \( y - x>x + y \), where \( x \) and \( y \) are integers, which of the following must be true?
In a circus company the price of tickets for adult and children were 50 and 30 respectively. The company has sold a total of 1000 tickets. The average (arithmetic mean) price per ticket sold was 42. How many tickets were sold for children?

In the above figure, if \( y+z = 280 \), what is the degree measure of angle \( x \)? 

If \( A^4 + B^4 = 100 \), then the greatest possible value of A is between

What is the area of the circle shown above with center O? 

(1) W is the mid-point of chord XY. 
(2) The ratio of ZW to OW is 3:5. 
 

If Polygon A has fewer than 10 sides and the sum of the interior angles of polygon A is divisible by 16, how many sides does Polygon A have?

The figure above represents a picture set in a square wooden frame that is \( p \) inches wide on all sides. If the combined area of picture and the frame is equal to \( q \) square inches, then in terms of \( p \) and \( q \), what is the perimeter of the picture? 

Alan purchased pen and pencil at a certain shop, where each pen costs 3 dollars and each pencil cost 2 dollars. What is the total number of pen and pencils Alan purchased?
(1) Alan bought pen and pencils for the total cost of 10 dollars.
(2) Total cost of the pens which Allan bought is less than 10 dollars.
Water is pumped into the completely empty tank at a constant rate through an inlet pipe. At the same time, there is a leak at the bottom of the tank which leaks water at a constant rate. How long it will take the tank get filled completely? (1) Total capacity of water the tank can hold is 120 gallons. (2) Inlet pipe can completely fill the empty tank in 10 hours if there is no leak in the tank, and also the leak at the bottom of the tank can completely empty the filled tank in 15 hours if there is no water pumped into the tank.
The interior of a rectangular box is designed by a certain manufacturer to have a volume of \( m \) cubic feet and ratio of length to width to height of 5:3:2. In term of \( m \), which of the following equals the length of the box in feet?
In a certain linguistics school there are totally 250 students. Of those 250 students, 40 percent study French as a foreign language, 30 percent study German as a foreign language and 50 percent study Spanish as a foreign language. If 10 students study all these three foreign languages and 10 students didn’t choose these three foreign languages, then how many students are studying in exactly two of these foreign languages?