List of top Quantitative Aptitude Questions

Let a,b,c be non-zero real numbers such that b2<4ac, and f(x)=ax2+bx+c. If the set S consists of all integers m such that f(m)<0, then the set S must necessarily be
The functions f(x) and g(x) are related as f(g(x)) = xg(f(f(x))), where f (x) = \(\frac{x}{x-1}\). What could be the functional form g(x)?
If the digit in the unit’s place of a two-digit number is halved and the digit in the ten’s place is doubled, the number thus obtained is equal to the number obtained by interchanging the digits. Which of the following is definitely true?
Let f(x) = ax² + bx + c, where a, b, and c are real numbers with a ≠ 0. If the graph of f(x) intersects the x-axis at two distinct points with x-coordinates p and q (p < q), then the equation ax² + bx + c + 1 = 0 has:
There are three cans and a bucket. The cans each have a capacity of 5 litres, but are partially filled with water. The bucket also has some water in it. The sum of the water in the bucket and water in the first can is half of the total bucket capacity. When the first and third cans are emptied into the bucket, it contains 6 litres of water. Instead, when the second and the third cans are emptied into the bucket, it contains 7 litres of water. When water in all the cans are poured into the bucket, it is filled to its capacity. The first and second can contain a total of 7 litres. How many litres did the bucket already contain?
What could be the area of a hexagon inscribed in a circle of radius 12 cm?
Sugar worth 15 per kg and 16 per kg is mixed with a third variety of some other cost in the ratio 1 : 1 : 2. If the mixture is of worth 20 per kg, what would be the cost of the third variety of sugar per kg?
In a school, 150 students offered Hindi as an optional subject, 85 French and 90 Sanskrit. Out of these, 73 offered Hindi only, 52 French only, 18 Hindi and French only and 10 French and Sanskrit only. How many students offered Sanskrit only?
There are eight persons – P, Q, R, S, T, U, V and W, standing in a row and four distinct articles A, B, C and D are to be given to four people. No four neighboring persons receive an article. How many ways can this distribution be done?
One vessel contains milk and water in the ratio a: While another vessel contains milk and water in the ratio b: In what ratio must the contents of the first vessel be mixed with the contents of the second so that in the final sample, milk and water may be as 2:1?
Two trains start at the same time from two stations A and B proceeding towards B and A at 36 kmph and 42 kmph respectively. When they meet it was noticed that one train has moved 48 km more than the other. Find the distance between A and
In ΔPQR, \(∠P\), \(∠Q\) and \(∠R\) are in geometric progression in the same order. \(∠Q\) = \(60°\). What is the perimeter of the triangle if the height of the triangle is \(6\) cm
A committee is to be formed from amongst 9 boys and 6 girls. In how many ways can the boys and girls divide themselves into groups of three so that no group has more than 2 girls and no group has all boys?
Two posts are k metres apart and the height of one is double that of the other. If from the middle point of the line joining their feet, an observer finds the angular elevations of their tops to be complementary, then the height (in metres) of the shorter post is
The speed of a train pulling out of a station is given by the equation s = t2 + t, where s is the speed in kilometers per hour and t is the time in seconds from when the train starts moving. The equation holds for all situations were o t 4. In kilometers per hour, what is the difference in the speed of the train four seconds after it starts moving, compared to the speed two seconds after it starts moving?
The dimensions of a triangle are 15 cm, 8 cm and 17 cm. What is the area of a circle having radius (r + 4) cm if 'r' is the inradius of the given triangle?
A boy has some coins with some value on them. He arranges the coins in the form of a star as shown below such that the sums of the numbers in the four circles along any line segment of the star are all equal. What is the sum of the missing numbers?
A boy has some coins with some value on them. He arranges the coins in the form of a star
B can do a work in 48 days. If A starts the work and after 10 days he leaves, then B alone finishes the remaining work in 42 days. In how many days A and B together will finish the work?
A sells an item at a loss of 10%. If he had sold it for ₹ 120 more, he would have gained 5%. What is the cost price of the item?
Two trains of lengths 80m and 120m respectively are travelling in the same direction. If the first train travelling a speed of 80 Kmph crosses the second train in 24 seconds, then the speed of the second train is :
The smallest fraction which should be subtracted from the sum of the following numbers: \[ 4\frac{1}{4}, \, 2\frac{1}{2}, \, \frac{9}{12}, \, 3\frac{1}{3}, \, 2\frac{3}{4} \quad \text{so as to make it a whole number is:} \]
The arithmetic mean of a few numbers is 40. If each number is increased by 7, and then multiplied by 12, then the new mean will be:
Anupam, a trader, sells an item to Suraj at 20% discount, but he charges 10% on the discounted price for packaging and delivery. Suraj sells it for ₹ 1782 more, thereby earning a profit of 25%. At what price had the trader marked the item?
In the following number series, a wrong number is given. Find out the wrong number.
2 , 6 ,13 , 31 , 69 ,147 , 305.
The H.C.F. of \( \frac{2}{3}, \frac{8}{27}, \frac{10}{9}, \frac{62}{21} \) is: