List of top General Aptitude Questions asked in Common Admission Test

If the harmonic mean between two positive numbers is to their geometric mean as $12 : 13$, then the numbers could be in the ratio:

If one root of $x^{2} - 7 + 12 = 0$ is $4$, while the equation $x^{2} - 7x + q = 0$ has equal roots, then the value of $q$ is:

Value of $Ma \left[ md(a), \ mn(md(b), a), \ mn(ab, md(ac)) \right]$ where $a = -2$, $b = -3$, $c = 4$ is:

Given that $a>b$ then the relation $Ma[md(a), \ mn(a, b)] = mn[a, \ md(Ma(a, b))]$ does not hold if:

A water tank has three taps A, B, and C. A fills four buckets in 24 minutes, B fills 8 buckets in 1 hour, and C fills 2 buckets in 20 minutes. If all the taps are opened together a full tank is emptied in 2 hours. If a bucket can hold 5 litres of water, what is the capacity of the tank?

Shyam went from Delhi to Shimla via Chandigarh by car. The distance from Delhi to Chandigarh is $\frac{3}{4}$ times the distance from Chandigarh to Shimla. The average speed from Delhi to Chandigarh was half as much again as that from Chandigarh to Shimla. If the average speed for the entire journey was 49 kmph, what was the average speed from Chandigarh to Shimla?

If $a + b + c = 0$, where $a \neq b \neq c$, then \[ \frac{a}{2a^2 + bc} + \frac{b}{2b^2 + ac} + \frac{c}{2c^2 + ab} \] is equal to:

A right circular cone, a right circular cylinder and a hemisphere, all have the same radius, and the heights of the cone and cylinder are equal to their diameters. Then their volumes are proportional, respectively, to:

Two towns A and B are 100 km apart. A school is to be built for 100 students of town B and 30 students of Town A. Expenditure on transport is Rs. 1.20 per km per student. If the total expenditure on transport by all 130 students is to be as small as possible, then the school should be built at:

One man can do as much work in one day as a woman can do in 2 days. A child does one-third the work in a day as a woman. If an estate-owner hires 39 pairs of hands — men, women, and children — in the ratio 6 : 5 : 2 and pays them in all Rs. 1113 at the end of the day's work, what must the daily wages of a child be, if the wages are proportional to the amount of work done?

A right circular cone of height $h$ is cut by a plane parallel to the base and at a distance $h/3$ from the base. Then the volumes of the resulting cone and the frustum are in the ratio:

A, B and C individually can finish a work in 6, 8 and 15 hours respectively. They started the work together and after completing the work got Rs. 94.60 in all. When they divide the money among themselves, A, B and C will respectively get (in Rs.):

Two trains are traveling in opposite directions at uniform speeds of 60 km/h and 50 km/h respectively. They take 5 seconds to cross each other. If the two trains had traveled in the same direction, then a passenger sitting in the faster moving train would have overtaken the other train in 18 seconds. What are the lengths of the trains (in metres)?

A square is drawn by joining the midpoints of the sides of a given square. A third square is drawn inside the second square in the same way and this process is continued indefinitely. If a side of the first square is 8 cm, the sum of the areas of all the squares thus formed (in sq.cm) is:

The set of natural numbers is partitioned into subsets $S_1 = \{1\}$, $S_2 = \{2, 3\}$, $S_3 = \{4, 5, 6\}$, $S_4 = \{7, 8, 9, 10\}$ and so on. The sum of the elements of subset $S_{50}$ is:

A car after traveling 18 km from a point A developed some problem in the engine and speed became $\frac{4}{5}$ of its original speed. As a result, the car reached point B 45 minutes late. If the engine had developed the same problem after traveling 30 km from A, then it would have reached B only 36 minutes late. The original speed of the car (in km/h) and the distance between points A and B (in km) is:

The roots of the equation $a x^2 + 3x + 6 = 0$ will be reciprocal to each other if the value of $a$ is:

The value of $\frac{(1 - d^3)}{(1 - d)}$ is:

If $n$ is any positive integer, then $n^3 - n$ is divisible:

116 people participated in a singles tennis tournament of knockout format. The players are paired up in the first round, winners of the first round are paired in the second round, and so on till the final is played between two players. If after any round, the number of players is odd, one player is given a bye (he skips that round and plays the next round with the winners). Find the total number of matches played in the tournament.

Consider the following steps:
1. Put $x = 1$, $y = 2$
2. Replace $x$ by $xy$
3. Replace $y$ by $y + 1$
4. If $y = 5$ then go to step 6 otherwise go to step 5
5. Go to step 2
6. Stop
Then the final value of $x$ equals:

In a stockpile of products produced by three machines M1, M2 and M3, 40% and 30% were manufactured by M1 and M2 respectively. 3% of the products of M1 are defective, 1% of products of M2 defective, while 95% of the products of M3 are not defective. What is the percentage of defective products in the stockpile?

Consider a function $f(k)$ defined for positive integers $k = 1, 2, $; the function satisfies the condition
$f(1) + f(2) + + f(k) = p( p^{k-1} )$ Where $p$ is a fraction i.e. $0<p<1$. Then $f(k)$ is given by:

From any two numbers $x$ and $y$, we define $x * y = x + 0.5y - xy$. Suppose that both $x$ and $y$ are greater than 0.5. Then $x * x>y$ if:

There were $x$ pigeons and $y$ mynahs in a cage. One fine morning $p$ of them escaped to freedom. If the bird keeper, knowing only that $p = 7$, was able to figure out without looking into the cage that at least one pigeon had escaped, then which of the following does not represent a possible $(x, y)$ pair?