List of top Quantitative Aptitude Questions

A vessel contains 24 litres of milk and water in the ratio 5:3. How much water should be added so that the ratio becomes 1:1?

A number divided by 180 gives a remainder of 98. What will be the remainder if the same number is divided by 15?

How many numbers between 400 and 800 are divisible by 13?

A machine can produce 200 units per hour, while another machine can produce 300 units per hour. How many units will be produced if they operate together for 3 hours?

If Alice is currently 30 years old and twice the age her son Ben will be in 5 years, in 10 years, how many times will Alice’s age be compared to Ben's?

If x and y are real numbers such that x² + (x-2y-1)² = 4y(x+y), here the value x-2y is?

The price of a precious stone is directly proportional to the square of its weight. Sita has a precious stone weighing 18 units. If she breaks it into four pieces with each piece having distinct integer weight, then the difference between the highest and lowest possible values of the total price of the four pieces will be 288000. Then, the price of the original precious stone is

For any natural numbers \(m\), \(n\), and \(k\), such that \(k\) divides both \(m + 2n\) and \(3m + 4n\), \(k\) must be a common divisor of

The sum of all possible values of \(x\) satisfying the equation \(2^{4x^2} - 2^{2x^2+x+16} + 2^{2x+30} = 0\), is

A lab experiment measures the number of organisms at 8 am every day. Starting with 2 organisms on the first day, the number of organisms on any day is equal to 3 more than twice the number on the previous day. If the number of organisms on the nth day exceeds one million, then the lowest possible value of n is

Anil mixes cocoa with sugar in the ratio 3: 2 to prepare mixture A , and coffee with sugar in the ratio 7: 3 to prepare mixture B . He combines mixtures A and B in the ratio 2: 3 to make a new mixture C . If he mixes C with an equal amount of milk to make a drink, then the percentage of sugar in this drink will be

The number of positive integers less than 50, having exactly two distinct factors other than 1 and itself, is

Let both the series \(a_1,a_2,a_3,....\) and \(b_1,b_2,b_3,....\) be in arithmetic progression such that the common differences of both the series are prime numbers. If \(a_5=b_9,a_{19}=b_{19}\) and \(b_2=0\) , then \(a_{11}\) equals

Arvind travels from town A to town B, and Surbhi from town B to town A, both starting at the same time along the same route. After meeting each other, Arvind takes 6 hours to reach town B while Surbhi takes 24 hours to reach town A. If Arvind travelled at a speed of 54 km/h, then the distance, in km, between town A and town B is [This question was asked as TITA]

The sum of the first two natural numbers, each having 15 factors (including 1 and the number itself), is

Let \(a_n=46+8n\) and \(b_n=98+4n\) be two sequences for natural numbers \(n ≤ 100\) . Then, the sum of all terms common to both the sequences is

In a rectangle ABCD, AB = 9 cm and BC = 6 cm. P and Q are two points on BC such that the areas of the figures ABP, APQ, and AQCD are in geometric progression. If the area of the figure AQCD is four times the area of triangle ABP, then BP : PQ : QC is

Anil invests Rs. 22000 for 6 years in a certain scheme with 4% interest per annum, compounded half-yearly. Sunil invests in the same scheme for 5 years, and then reinvests the entire amount received at the end of 5 years for one year at 10% simple interest. If the amounts received by both at the end of 6 years are same, then the initial investment made by Sunil, in rupees, is

Any non-zero real numbers \(x, y\) such that \(y ≠ 3\) and \(\frac{x}{y}<\frac{x+3}{y-3}\), will satisfy the condition

The number of coins collected per week by two coin-collectors A and B are in the ratio 3 : 4. If the total number of coins collected by A in 5 weeks is a multiple of 7, and the total number of coins collected by B in 3 weeks is a multiple of 24, then the minimum possible number of coins collected by A in one week is

Let \(a, b, m\) and \(n\) be natural numbers such that \(a >1\) and \(b >1\) . If \(a^m+b^n = 144^{145}\) , then the largest possible value of \(n − m\) is

Minu purchases a pair of sunglasses at Rs.1000 and sells to Kanu at 20% profit. Then, Kanu sells it back to Minu at 20% loss. Finally, Minu sells the same pair of sunglasses to Tanu. If the total profit made by Minu from all her transactions is Rs.500, then the percentage of profit made by Minu when she sold the pair of sunglasses to Tanu is

If the median of \( \frac{x}{5}, x, \frac{x}{4}, \frac{x}{2} \) and \( \frac{x}{3} \) (where \(x > 0\)) is 8, then the value of \(x\) will be

Three bells ring once every \(12\) minutes, \(20\) minutes and \(36\) minutes respectively. If all of them ring together at \(6{:}30\) a.m., at what time will they next ring together on the same morning?

A printing press is assigned the task of printing a certain number of books. The press has three machines: A, B, and C, each working at a different speed. If all three machines work together, they complete the task in 4 hours. If machine C is not used, the task is completed in 6 hours. If only machines A and B are used, the task is completed in 9 hours. How many hours would it take for machine C alone to complete the entire task?