List of top Quantitative Aptitude Questions

The sum of the squares of three consecutive integers is 194. Find the integers.
A rectangle has a perimeter of 50 cm and an area of 150 cm². Find its length.
A number is increased by 25 and then decreased by 25. What is the net percentage change?
The ratio of ages of A and B is 3:5, and their sum is 64. What will be their age ratio after 5 years?
A bag has 5 red and 7 blue balls. Two balls are drawn without replacement. What is the probability both are red?
Find the number of ways to arrange 6 distinct books on a shelf if 2 specific books must be adjacent.
In a seating arrangement, 5 people (A, B, C, D, E) sit in a row. A and B must sit together, and C cannot sit at the ends. How many arrangements are possible?
A train travels 360 km at a uniform speed. If the speed increases by 6 km/h, it takes 1 hour less. Find the original speed.
The HCF of two numbers is 12, and their LCM is 144. If one number is 48, find the other.
A shopkeeper sells two items at Rs. 1000 each. On one, he gains 25, and on the other, he loses 20. What is his overall profit or loss percentage?
A and B run a 1200m race. A gives B a 120m head start. A runs at 5 m/s, and B at 4 m/s. Who wins, and by how much time?
The sum of the first $n$ terms of an arithmetic progression is $2n^2 + n$. Find the 10th term.
If $x^2 - 7x + 12 = 0$, what is the value of $x^3 - 4x^2 + 3x$?
An aquarium of size 100 cm × 80 cm × 60 cm is tilted along the 80 cm edge. Water spills until the water line reaches 1/3 of the base width. Find the height of water reduced when box is restored.
If the angle bisector of \( \angle P \) meets \( QR \) at point \( M \), find the length of \( PM \).
TV company makes 2 models A and B. - A takes 4 hrs to make, B takes 2 hrs
- Max 1000 hrs available
- Profit per unit: A → ₹1200, B → ₹800
- Want to maximize profit under constraints
Let P, Q, S, R, T, U and V represent the seven distinct digits from 0 to 6, not necessarily in that order. If PQ and RS are both two-digit numbers adding up to the three-digit number TUV, find the value of V.
There are five cards in a row with numbers from 1 to 100. Each adjacent pair must not differ by a multiple of 4. The remainder when each number is divided by 4 is written on a sixth card, in that order. How many different sequences can be written on the sixth card?
When compared to the total memory space occupied by the information stored in any single category of storage media, what is the highest percentage share of memory space occupied by the information stored in any single media within that category (approximately)?
If information increases 20% per year, and memory space increases 10% per year from 2000 onwards (where 80% of total memory is already used), and usage grows at 45% more than current rate, when will there be shortage of memory?
If the equations below hold true for triangles ABC and DEF: \[ a(a + b + c) = d^2, b(a + b + c) = e^2, c(a + b + c) = f^2 \] Then which of the following is always true of triangle DEF?
A number when divided by 4, 5 and 6 leaves remainders 2, 3 and 4 respectively. What is the smallest such number?

Each of nine persons, P, Q, R, S, T, U, V, W and X, lives in a different flat in an apartment building, which has six floors (excluding the ground floor, which is used only for parking) and three flats on each floor. The three flats on each floor are in a row and no two adjacent flats on a floor are occupied. At least one person lives on each floor.

Further the following information is known:
P and Q live on the same floor.
R and S live on different floors.
T lives in the middle flat on the fourth floor.
U lives on the sixth floor and V lives on the first floor.
W lives on the floor which is immediately above the floor on which X lives.

The following is the table of points drawn at the end of all the matches in a six-nation Hockey tournament, in which each country played with every other country exactly once. The table gives the positions of the countries in terms of their respective total points scored (i.e., in the decreasing order of their total points). Each win was worth three points, each draw one point, and there were no points for a loss. Some information in the table has been intentionally left out. The results of none of the individual matches are known, except that Pakistan beat India and no two teams finished with the same number of points.

\[ \begin{array}{|c|l|c|c|c|c|c|c|} \hline \textbf{Position} & \textbf{Country} & \textbf{Won} & \textbf{Drawn} & \textbf{Lost} & \textbf{Goals For} & \textbf{Goals Against} & \textbf{Total Points} \\ \hline 1 & \text{Australia} & & & & 17 & 5 & 15 \\ 2 & \text{Netherlands} & & & & 9 & 6 & 10 \\ 3 & \text{Pakistan} & & & & & 2 & 8 \\ 4 & \text{India} & & & & 2 & 5 & \\ 5 & \text{South Korea} & & & & 7 & 11 & 2 \\ 6 & \text{Spain} & & & & 8 & 16 & \\ \hline \end{array} \]
Functions \( g \) and \( h \) are defined on \( n \) constants, \( a_0, a_1, a_2, a_3, \ldots, a_{n-1} \), as follows:

\[ g(a_p, a_q) = \begin{cases} a_{|p - q|}, & \text{if } |p - q| \leq (n - 4) \\ a_{n - |p - q|}, & \text{if } |p - q| > (n - 4) \end{cases} \]
\[ h(a_p, a_q) = a_k, \quad \text{where } k \text{ is the remainder when } (p + q) \text{ is divided by } n. \]