List of top Quantitative Aptitude Questions

What is the sum of integers from \(113\) to \(113113\) that are divisible by \(7\)?
Rohan and Rahul are 144 km apart at A and B. Rohan travels at 8 km/hr. Rahul travels 4 km in the first hour, 5 km in the second, 6 km in the third, and so on. Find the point where they meet.
If a,b are non-zero roots of x²+ax+b=0, then the least value of x²+ax+b is
In a survey of 700 students in a college, 180 were listed as drinking Limca, 275 as drinking Miranda, and 95 were listed as drinking both. How many students were drinking neither Limca nor Miranda?
In how many ways can the letters of the word POTICA be arranged such that the vowels occupy odd positions?
A student goes to school at the speed of \( 2 \frac{1}{2} \) km/hr and reaches 6 minutes late. If he travels at the speed of 3 km/hr, he is 10 minutes early, then the distance to school from his home is:
Two trains of lengths 150 metres and 180 metres respectively, are running in opposite directions on parallel tracks. If their speeds are 30 km/hr and 24 km/hr respectively, then the time taken by them to cross each other is:
A boat goes 16 km upstream and 24 km downstream in 6 hours. It can go 12 km upstream and 36 km downstream in the same time. The speed of the boat in still water is:
In a list \( A = p, 24, 24, 24, 28, 20, 16 \), is “p” positive?
(1) The mean of list A is lesser than the mode of list A.
(2) The range of list A is lesser than the mode of list A.
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?