List of top Questions asked in CAT

In a four-digit number, the sum of the first 2 digits is equal to that of the last 2 digits. The sum of the first and last digits is equal to the third digit. Finally, the sum of the second and fourth digits is twice the sum of the other 2 digits. What is the third digit of the number?

In the above diagram, ABCD is a rectangle with $AE = EF = FB$. What is the ratio of the areas of $\triangle CEF$ and that of the rectangle?

A certain city has a circular wall around it, and this wall has four gates pointing north, south, east, and west. A house stands outside the city, 3 km north of the north gate, and it can just be seen from a point 9 km east of the south gate. What is the diameter of the wall that surrounds the city?
Of 128 boxes of oranges, each box contains at least 120 and at most 144 oranges. The number of boxes containing the same number of oranges is at least:
If $x>5$ and $y<-1$, then which of the following statements is true?
A square, whose side is 2 m, has its corners cut away so as to form an octagon with all sides equal. Then the length of each side of the octagon, in metres, is:
A student took five papers in an examination, where the full marks were the same for each paper. His marks in these papers were in the proportion of 6 : 7 : 8 : 9 : 10. In all papers together, the candidate obtained 60% of the total marks. Then the number of papers in which he got more than 50% marks is:
Let $x$, $y$, and $z$ be distinct integers. $x$ and $y$ are odd and positive, and $z$ is even and positive. Which one of the following statements cannot be true?

Part of this sentence given below has been underlined. You have to select the option that best replaces the underlined part.

Many people mistake familiarity for a vulgar style, and suppose that to write without affectation is to write at random speed.

Part of this sentence given below has been underlined. You have to select the option that best replaces the underlined part.

The management can still hire freely but cannot scold freely.
 

Part of this sentence given below has been underlined. You have to select the option that best replaces the underlined part.

British Airspace has been focusing on building European links.

Part of this sentence given below has been underlined. You have to select the option that best replaces the underlined part.

The 8th-century revival of Byzantine learning is an inexplicable phenomenon, and its economic and military precursors have yet to be discovered.

Part of this sentence given below has been underlined. You have to select the option that best replaces the underlined part.

The appetite of banks for funds was lost under the onslaught of the slowdown, corporates refused to borrow even as bank deposits flourished.
 

Everyone will admit that swindling one's fellow beings is a necessary practice; upon it is based the really sound commercial success formula ________ .

Science is a sort of news agency comparable _______ to other news agencies.

Most political leaders acquire their position by causing a large number of people to believe that these leaders are ______ by altruistic desires.

As a step towards protesting against the spiralling prices, the farmers have decided to stage a picket in an effort to _____ .

Simple arithmetic tells us that there is more ______ than ______ .

To a greater or lesser degree all the civilized countries of the world are made up of a small class of rulers ______ of a large class of subjects ______ .

Learning is more efficient when it is _______ . It is less efficient when it is _______ .

When children become more experienced with words as visual symbols, they find that they can gain meaning without making _____ sounds.

Social studies, science matters of health and safety, the very atmosphere of the classroom — these areas are few of the _____ for the ______ of proper emotional reactions.

Football evokes a ___ response in India compared to cricket, that almost _____ the nation.

There are four envelopes — E1, E2, E3 and E4 — in which one was supposed to put letters L1, L2, L3 and L4 meant for persons C1, C2, C3 and C4 respectively, but by mistake the letters got jumbled up and went in wrong envelopes. Now if C2 is allowed to open an envelope at random, then how will he identify the envelope containing the letter for him?

I. L2 has been put in E1.

II. The letter belonging to C3 has gone in the correct envelope.

A circle circumscribes a square. What is the area of the square?
[I.] Radius of the circle is given.
[II.] Length of the tangent from a point 5 cm away from the centre of the circle is given.