List of top General Aptitude Questions asked in CAT

Who is the youngest brother?

Alphonso, on his death bed, keeps half his property for his wife and divide the rest equally among his three sons Ben, Carl and Dave. Some years later Ben dies leaving half his property to his widow and half to his brothers Carl and Dave together, shared equally. When Carl makes his will he keeps half his property for his widow and the rest he bequeaths to his younger brother Dave. When Dave dies some years later, he keeps half his property for his widow and the remaining for his mother. The mother now has Rs. 1,575,000.

Referring to the data given in Q.187, Bankatlala’s average monthly salary at the end of the first four months will be:

It takes the pendulum of a clock 7 seconds to strike 4 o’clock. How much time will it take to strike 11 o’clock?

What is the smallest number which when increased by 5 is completely divisible by 8, 11 and 24?

Four friends start from four towns, which are at the four corners of an imaginary rectangle. They meet at a point which falls inside the rectangle, after travelling distances of 40, 50 and 60 metres. The maximum distance that the fourth could have traveled is (approximately)….

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?

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:

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:

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:

Fill in the Blanks: High prices are often the __________ of __________ of goods

Choose from among the given alternatives the one which will be a suitable substitute for the expression in quotes. The victim's "involuntary responses to stimulus" proved that he was still living.

N 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 the subset \(S_{50}\) is

Two trains are traveling in opposite direction at uniform speed 60 and 50 km per hour 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 trains (in metres)?

A car after traveling 18 km from a point A developed some problem in the engine and speed became 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 per hour) and the distance between the points A and B (in km.) is

The roots of the equation \(ax^{2}+3x+6=0\) will be reciprocal to each other if the value of \(a\) is

If n is any positive integer, then \( n^3 - n \) is divisible

Consider a function \( f(k) \) defined for positive integers \( k = 1, 2, .. \); the function satisfies the condition \( f(1) + f(2) + .. = \dfrac{p}{p-1} \). Where \( p \) is 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 \( x * x < y * y \) if

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 in the stockpile?

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.

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

The value of \( \dfrac{1}{1-x} + \dfrac{1}{1+x} + \dfrac{2}{1+x^2} + \dfrac{4}{1+x^4} \)

Mr X enters a positive integer Y(>1) in an electronic calculator and then goes on pressing the square root key repeatedly. Then