List of top Quantitative Aptitude Questions

‘A’ can do a piece of work in 20 days and ‘B’ can do it in 15 days. How long will they take to finish together?
Father is 3 yr older than mother, and mother’s age is twice daughter’s age. Daughter is 20 now. Find father’s age when daughter was born.
A man rows 5 km/h in still water. Current speed = 1 km/h. It takes 3 h more upstream than downstream for same distance. Find the distance.
A mixture of 40 L of alcohol and water contains 10% water. How much water should be added to this mixture so that the new mixture contains 20% water?
If 80% of A = 20% of B and B = 5% of A, find value of x.
A person covers a certain distance at 30 km/h and returns at 40 km/h. Average speed = ?
There are 30 boys and 40 girls in a class. Average age of boys = 10 years, average age of girls = 8 years. Find the average age of the whole class.
A person spends \( \frac{1}{3} \) of his income on food, \( \frac{1}{4} \) on house rent, and the remaining Rs. 630 on other items. The house rent is:
The Least Common Multiple (LCM) of 0.12, 9.60, and 0.60 is:
Find the value of \(A\) in: \[ 5 + 12 \times 10 \times \frac{120}{240} = A \times 10 \]
Probability of corpse being the missing man given independent events:
- Gold-plated tooth: 1 in 5000
- Left hand thumb fracture: 1 in 20000
- Right ear pierced: 1 in 100
The next number in the sequence is: 19, 29, 37, 43, …
Rohan and Sohan start from the same point on a circular track in the same direction. Speed of Rohan is nine times Sohan. How many times are they diametrically opposite by the time Sohan completes 3 rounds?
Find the total number of ways in which one can wear three distinct rings on the five fingers of one’s right hand, given that one is allowed to wear more than one ring on a finger.
If $a_1,a_2,\....,a_n$ $(n>3)$ are all unequal positive real numbers and \[ E = \frac{(1+a_1+a_1^2)(1+a_2+a_2^2)\dots(1+a_n+a_n^2)}{a_1 a_2 \dots a_n}, \] then which of the following best describes $E$?
On a certain day, the sum of the date and the square root of the month gives the square of the month. Find the date.
In a timber mill, cylindrical logs arrive as input and are cut into smaller cylindrical pieces of the same radius using manual and mechanized saws. Manual saw: requires 4 workers, takes 2 hours to cut a log into 2 pieces. Mechanized saw: requires 2 workers, takes 1 hour to cut the same log into 2 pieces. Time to cut is proportional to the cross-sectional area. If 12 workers must cut 60 logs into 4 equal pieces each, using 2 mechanized saws and 2 manual saws, find the total time required.
Three persons A, B, and C start running simultaneously on three concentric circular tracks from three collinear points P, Q, and R respectively, which are collinear with the centre and on the same side of the centre. The speeds of A, B, and C are $5\ \text{m/s$, $9\ \text{m/s}$, and $8\ \text{m/s}$ respectively. The lengths of the tracks are:} A: $400\ \text{m}$, B: $600\ \text{m}$, C: $800\ \text{m}$.
A and B run clockwise, and C runs anti-clockwise. Find the first time after they start when A, B, and C are collinear with the centre and on the same side of the centre.
A is a non-empty set having $n$ elements. P and Q are two subsets of A such that $P \subseteq Q$. Find the number of ways of choosing the subsets P and Q.
A can do a work in 18 days more than the time taken by A and B together. B can do the same work in 8 days more than the time taken by A and B together. They agree to work with C and complete the work in 10 days. Total payment = ₹18000. Find C's share.
Lal divides his garden into several identical squares and places posts at all the corners of all the squares. He then plants one tree per square. If a rectangular garden uses 36 posts in all, find the maximum number of trees that he could have planted.
In how many ways can 40 sweets be given to A, B, C, and D such that:
- B gets at least 3 sweets,
- D gets at least 5 sweets,
- A and C may get zero sweets.
Harry Potter bought a triangular piece of land of area $150\ \text{m}^2$. Harry measured two sides of the plot and found the largest side to be $50\ \text{m}$ and another side to be $10\ \text{m}$. Find the exact length of the third side.
A rectangle MNOQ has $NO$ extended to point R. In $\triangle QPR$:
- $QP = \frac{2x}{3}QM$
- $\angle ORP = 45^\circ$
- $QR = 4\sqrt{17}$ cm
S and T are midpoints of sides QR and PR respectively. If $ST = 6$ units, find the area of rectangle MNOQ.
Find the sum of the series: \[ 1 + \frac{2}{11} + \frac{5}{12} + \frac{10}{13} + \frac{17}{14} + \dots \]