List of top General Aptitude Questions

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:

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, 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.):

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

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

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

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?

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:

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:

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.

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?

The remainder when $26^{60}$ is divided by 5 equals:

Mr. X enters a positive integer Y in an electronic calculator and then goes on pressing the square repeatedly. Then:

What is the sum of the following series:
$\frac{1}{1 \times 2} + \frac{1}{2 \times 3} + \frac{1}{3 \times 4} + + \frac{1}{100 \times 101}$

The value of $(1 - x) + \frac{1}{1 + x} + \frac{2}{1 + x^2} + \frac{4}{1 - x^6}$

Let $a, b$ be any positive integers and $x = 0$ or $1$, then:

There are six boxes numbered 1, 2, 3, 4, 5, 6. Each box is to be filled up either with a white ball or a black ball in such a manner that at least one box contains a black ball and all the boxes containing black balls are consecutively numbered. The total number of ways in which this can be done equals:

I should not have .............. to talk in such a .............. strain especially when I had not studied the man to whom I was talking.

High prices are often the .............. of .............. of goods.

The victim’s involuntary responses to stimulus proved that he was still living. These responses are known as ..............

The .............., those cellular bodies which contain the .............. particles, the genes, provide us with basic facts of genetic transmission.