List of top Quantitative Aptitude Questions

If a³ + b³ + c³ = 62, abc = -6 and (a + b + c) = 5, then what is the value of ab + bc + ac ?

If a, b and c are integers such that a² + b² + c² = 228, a + b + c = 26 and b = c, then what is the value of a ?

If \((4x^2+\frac{1}{4x^2})=2\), then what is the value of \((8x^3+\frac{1}{8x^3})\) ?
A) +2
B) -2
C) +4
D) -4

If a + b + c = 4, (a + b)² + (b + c)² + (c + a)² = 20. Find the value of (a² + b² + c²).

A rectangular plot of land measures 55 meters by 25 meters. A path of uniform width surrounds the plot. If the area of the path is equal to the area of the plot, what is the width of the path in meters?

In a box there are (x + 5) red balls, ‘x’ blue balls and (x + 1) black balls. If the probability of picking two blue balls at random is 1/35, then find the value of ‘x’.

A mixture contains lemon juice and sugar syrup in equal proportion. If a new mixture is created by adding this mixture and sugar syrup in the ratio 1 : 3, then the ratio of lemon juice and sugar syrup in the new mixture is

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

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:

Old Mr. Baker was known for his impeccable calculations. He had a small bakery, and every day, he meticulously recorded the number of loaves he baked. One week, he found the average number of loaves baked per day was thirteen. Determined to maintain his bakery's reputation for consistency, he decided to include the next day's loaf count in his average. However, he wanted to ensure the average for the six days remained a whole number. What was the smallest number of loaves he could bake on the sixth day to achieve this?

A chart consists of numbers from 1 to 360. What is the sum of all the numbers remained on the chart after removing all the multiples of 2, multiples of 3 and multiples of 5?

If \(\log_{a^{4}}65536=2\), what is the value of 'a'?

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?

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)?

A box contains 4 blue, 2 green and 3 red balls and another box contains 4 red, 3 green, and 5 blue balls. A ball is picked up at random from one of the boxes. What is the probability that the ball is blue?

A blind man lives in an apartment containing 2 rooms. Each day before going to work he enters any one room randomly, picks up a bag and leaves home. One of the rooms contains 3 blue, 4 green and 5 red bags and the other contains 2 blue, 1 green and 3 red bags. What is the probability that he takes a green bag to his workplace?

What is the probability that a two-digit positive integer N has the property that the difference of N and the number obtained by reversing the order of its digits is a perfect cube?

What is the probability that a two-digit positive integer N has the property that the sum of N and the number obtained by reversing the order of its digits is a perfect square?

What is the probability that a five-digit number has at least one zero in it?

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?

A group of 630 children is arranged in rows for a photograph session. Each row contains three children lesser than the row in front of it. Which of the below mentioned number of rows is not possible?

Krishna has certain number of coins numbered with a series of consecutive natural numbers starting with 1. He found that the sum of squares of all the numbers on the coins is 1753 times the sum of numbers on coins. How many coins does he have?

A person brought a load of bags towards a weighing machine and measured the weights of the bags in a particular order. First, he weighed three bags individually, then weighed the bags taking two at a time of different combinations and lastly weighed all the three bags at a time. The recorded weight for the last measure was 203 kg. What is the average of the 7 measurers he has taken?

Given quadratic equation is x² - |x|-30 = 0. Then which of the following statements is/are incorrect?

If p, q, r and s are four positive integers such that pqrs = 1, what is the minimum value of (2 + p)(3 + q)(4 + r)(5 + s)?