List of top Quantitative Aptitude Questions

A shopkeeper sells a product at a 20% profit. If he buys it at 20% less cost and sells it for Rs. 10 less, he earns a 25% profit. What is the original cost price?

In a triangle ABC, the lengths of the sides AB and AC are 17.5 cm and 9 cm respectively. Let D be a point on AB such that AD = 7 cm. What is the length of CD?

A cube of side 4 cm is painted on all its faces. If it is sliced into 1 cm cubes, how many 1 cm cubes will have exactly one face painted?

The average price of 10 books is Rs. 12 while the average price of 8 of these books is Rs. 11.75. Of the remaining two books, if the price of one book is 60% more than the price of the other, what is the price of each of these two books?

The HCF of two numbers is 12, and their LCM is 144. If one number is 36, what is the other number?

What is the remainder when \(3^{100}\) is divided by 7?

If \( m \) and \( n \) are positive integers, is \( \sqrt{m} \times \sqrt{n} \) an integer?
(1) \( \sqrt{m} \) is an integer.
(2) \( \sqrt{n} \) is an integer.

If \( \frac{x + y}{z}>0 \), is \( x<0 \)?
(1) \( x = y + 2 \)
(2) \( z<0 \)

If 5,000 invested for one year at p percent simple annual interest yields $500, what amount must be invested at k percent simple annual interest for one year to yield the same number of dollars?
(1) k = 0.8p
(2) k = 8

In the \( xy \)-plane, if line \( k \) has negative slope and passes through the point \((-5, r)\), is the \( x \)-intercept of line \( k \) positive?
(1) The slope of line \( k \) is \( -5 \).
(2) \( r>0 \)

Is \( x>y \)? (1) \( x = y + 2 \) (2) \( \frac{x}{2} = y - 1 \)

What is the value of \( w + q \)?
(1) \( 3w = 3q - 3 \)
(2) \( 5w + 5q = 5 \)

Is \( \frac{5x^2 + 2}{25}<1 \)?
(1) \( 5x^2<1 \)
(2) \( x<0 \)

Is the standard deviation of the set of measurements \( x_1, x_2, x_3, x_4, \dots, x_{20} \) less than 3?
(1) The variance for the set of measurements is 4.
(2) For each measurement, the difference between the mean and that measurement is 2.

If \( k \) is an integer and \( 2<k<7 \), for how many different values of \( k \) is there a triangle with sides of lengths 2, 7, and \( k \)?

If \( n = \sqrt{\frac{16}{81}} \), what is the value of \( \sqrt{n} \)?

If \( \sqrt{3 - 2x} = \sqrt{2x + 1} \), then \( 4x^2 = \)?

The sequence \( a_1, a_2, a_3, \dots \) is such that \[ a_n = \frac{a_{n-1} + a_{n+1}}{2} \text{ for all } n \geq 3, \text{ if } a_4 = 4 \text{ and } a_5 = 20, \text{ what is the value of } a_2? \]

Last month a certain music club offered a discount to preferred customers. After the first compact disc purchased, preferred customers paid 3.99 for each additional compact disc purchased. If a preferred customer purchased a total of 6 compact discs and paid $15.95 for the first compact disc, then the dollar amount that the customer paid for the 6 compact discs is equivalent to which of the following?

If \( p \) is the perimeter of rectangle \( Q \), what is the value of \( p \)?
(1) Each diagonal of rectangle \( Q \) has length 10.
(2) The area of rectangle \( Q \) is 48.

In City X last April, was the average (arithmetic mean) daily high temperature greater than the median daily high temperature?
(1) In City X last April, the sum of the 30 daily high temperatures was 2,160°.
(2) In City X last April, 60 percent of the daily high temperatures were less than the average daily high temperature.

Of the 66 people in a certain auditorium, at most 6 people have their birthdays in any given month. Does at least one person in the auditorium have a birthday in January?
(1) More of the people in the auditorium have their birthday in February than in March.
(2) Five of the people in the auditorium have their birthday in March.

In a certain classroom, there are 80 books, of which 24 are fiction and 23 are written in Spanish. How many of the fiction books are written in Spanish?
(1) Of the fiction books, there are 6 more that are not written in Spanish than are written in Spanish.
(2) Of the books written in Spanish, there are 5 more nonfiction books than fiction books.