List of top Questions asked in CAT

A 20 litre vessel is filled with alcohol. Some of the alcohol is poured out into another vessel of equal capacity, which is then completely filled by adding water. The mixture thus obtained is then poured into the first vessel to capacity. Then \(6\frac{2}{3}\) litres is poured from the first vessel into the second. Both vessels now contain an equal amount of alcohol. How much alcohol was originally poured from the first vessel into the second?

In a 400 metre race around a circular stadium having a circumference of 1000 metres, the fastest runner and the slowest runner reach the same point at the end of the 5th minute for the first time after the start of the race. If the fastest runner runs at twice the speed of the slowest runner, what is the time taken by the fastest runner to finish the race?

Which sentence(s) can serve as the concluding statement(s) for the given paragraph?
A. Large reductions in the ozone layer, which sits about 15–30 km above the Earth, take place each winter over the polar regions, especially the Antarctic, as low temperatures allow the formation of stratospheric clouds that assist chemical reactions breaking down ozone.
B. Industrial chemicals containing chlorine and bromine have been blamed for thinning the layer because they attack the ozone molecules, making them break apart.
C. Many offending chemicals have now been banned.
D. It will still take several decades before these substances have disappeared from the atmosphere.

Identify the pair or sequence of sentences that are chronologically and logically connected to form a coherent narrative:
A. Last Sunday, Archana had nothing to do.
B. After waking up, she lay on the bed thinking of what to do.
C. At 11 o’clock she took shower and got ready.
D. She spent most of the day shopping.

Select the one which would best fill the blanks: Football evokes a ______ response in India compared to cricket, the almost ______ the nation.

Choose the correct option that best represents the meaning of the word "HOST" in each given sentence:

Choose the correct option that best represents the meaning of the word "SORT" in each given sentence:

Over the last 20 years the rate of increase in total production in Workland has been second to none in the world. However, the growth is more modest when calculated per capita of total population. Over the last ten years progress has been much slower. If the information above is accurate, which of the following must be true?

There is no clear line between health and illness; it is easy to forget what it feels like to be really well and to get gradually used to often being a headache, feeling irritable, or tired. There is an unrecognized proportion of the population that has been tipped over the brink into ill health by ubiquitous contaminants. Which of the following statements best describes the purpose of the above?

Between 1979 and 1983, the number of unincorporated business self-employed women increased five times faster than the number of self-employed men and more than three times faster than women wage-and-salary workers. Part-time self-employment among women increased more than full-time self-employment. Each of the following, if true, could help to account for this trend except:

Regrettably [A] / Regretfully [B] I have to decline your invitation. I am drawn to the poetic, sensual [A] / sensuous [B] quality of her paintings. He was besides [A] / beside [B] himself with rage when I told him what I had done. After brushing against a stationary [A] / stationery [B] truck my car turned turtle. As the water began to rise over [A] / above [B] the danger mark, the signs of an imminent flood were clear.

The further [A] / farther [B] he pushed himself, the more disillusioned he grew. For the crowds it was more of a historical [A] / historic [B] event; for their leader, it was just another day. The old man has a healthy distrust [A] / mistrust [B] for all new technology. This film is based on a real [A] / true [B] story. One suspects that the compliment [A] / complement [B] was backhanded.

If \( \log (0.57) = -0.244 \), then the value of\(\log 57 + \log (0.57) + \log \sqrt{0.57}\) is:

\(M\) is the centre of the circle. \(l(QS) = 10\sqrt{2}\), \(\ell(PR) = \ell(RS)\) and \(PR \perp QS\). Find the area of the shaded region. (\(\pi = 3\))}

A ship 55 km from the shore springs a leak which admits 2 tonnes of water in 6 min; 80 tonnes would sink her, but the pumps can throw out 12 tonnes an hour. Find the average rate of sailing so that she may just reach the shore as she begins to sink.

A fish tank contains a number of fish, including 5 Fantails. If two fish are selected from the tank at random, what is the probability that both will be Fantails?
(1) The probability that the first fish chosen will be a Fantail is \(\frac 12\) .
(2) The probability that the second fish chosen will be a Fantail is \(\frac 49\) .

If \(n\) is an integer, is \(n\) even?
(1) 2n is an even integer.
(2) n − 1 is an odd integer.

What is the value of \(x\)?
(1) \(x^2 − 5x + 4 = 0\)
(2) \(x\) is not prime.

A certain stadium is currently full to \(\frac{13}{16}\) of its maximum seating capacity. What is the maximum seating capacity of the stadium?
(1) If 1,250 people were to enter the stadium, it would be full to \(\frac {15}{16}\) of its maximum seating capacity.
(2) If 2,500 people were to leave the stadium, it would be full to \(\frac {10}{16}\) of its maximum seating capacity.

If both \(ABDC\) and \(CPDFE\) are parallelograms, what is \(q + r\)?
(1) r = 70◦
(2) p = 110◦

In a certain zoo, there are 42 animals in one sector, 34 in the second sector and 20 in the third sector. Out of this, 24 graze in sector one and also in sector two. 10 graze in sector two and sector three, 12 graze in sector one and sector three. These figures also include four animals grazing in all the three sectors are now transported to another zoo. Find the total number of animals.

If \( f\left(x + \frac{y}{8}, y - \frac{x}{8}\right) = xy \), then \( f(m,n) + f(n,m) = 0 \) is true:

By how much percentage has the net profit dropped in 1996?

If Tamil Nadu registers an annual increase of 22% in rice production, what was the rice production in Tamil Nadu in 1998?

What is the ratio of total wheat production in the five states to total sugar production?