List of top General Aptitude Questions asked in CAT

There is a leak in the bottom of the tank. This leak can empty a full tank in 8 hours. When the tank is full, a tap is opened into the tank which admits 6 litres per hour and the tank is now emptied in 12 hours. What is the capacity of the tank?
\(\log_{6}\left(216\sqrt{6}\right)\) is
A and B walk from X to Y, a distance of 27 km at 5 kmph and 7 kmph respectively. B reaches Y and immediately turns back meeting A at Z. What is the distance from X to Z?
A man buys spirit at Rs. 60 per litre, adds water to it and then sells it at Rs. 75 per litre. What is the ratio of spirit to water if his profit in the deal is 37.5%?
Along a road lie an odd number of stones placed at intervals of 10 m. These stones have to be assembled around the middle stone. A person can carry only one stone at a time. A man carried out the job starting with the stone in the middle, carrying stones in succession, thereby covering a distance of 4.8 km. Then the number of stones is
Fourth term of an arithmetic progression is 8. What is the sum of the first 7 terms of the arithmetic progression?
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?
\( \text{Given that } a > b \text{ then the relation } Ma[md(a), mn(a,b)] = mn[a, md(Ma(a,b))] \text{ does not hold if} \)
\( \text{Value of } Ma\left[ md(a), mn(md(b), a), mn(ab, md(ac)) \right] \text{ where } a = -2,\ b = -3,\ c = 4 \text{ is} \)
\( \text{If } a + b + c = 0, \text{ where } a \neq b \neq c, \text{ then } \dfrac{a^2}{2a^2 + bc} + \dfrac{b^2}{2b^2 + ac} + \dfrac{c^2}{2c^2 + ab} \text{ is equal to} \)
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 days work. What must the daily wages of a child be, if the wages are proportional to the amount of work done?
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

The questions are based on the table and information given below.

Bankatlal works x hours a day and rests y hours a day. This pattern continues for 1 week, with an exactly opposite pattern the next week, and so on for four weeks. Every fifth week he has a different pattern. When he works longer than he rests, his wage per hour is twice what he earns per hour when he rests longer than he works. The following are his daily working hours for the weeks numbered 1 to 13:

1st week5th week9th week13th week
Rest (hrs/day)2340
Work (hrs/day)5768

A week consists of six days and a month consists of 4 weeks (the pattern within each 4-week month alternates work/rest hours between the odd and even weeks as shown, opposite in week 2/4 vs week 1/3 of that month).

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The primitive tribes-folk of the island of Lexicophobos have recently developed a language for themselves, which has a very limited vocabulary. In fact, the words can be classified into only three types: the Bingoes, the Cingoes and the Dingoes. The Bingoes type of words are: Grumbs, Harrumphs, Ihavitoo. The Cingoes type of words are: Ihavitoo, Jingongo, Koolodo. The Dingoes type of words are: Lovitoo, Metoo, Nana. They have also devised some rules of grammar: Every sentence must have only five words. Every sentence must have two Bingoes, one Cingo and two Dingoes. If Grumbs is used in a sentence, Ihavitoo must also be used, and vice versa. Koolodo can be used in a sentence only if Lovitoo is used.

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A, B, C, D, E, F and G are brothers. Two brothers had an argument and A said to B, 'You are as old as C was when I was twice as old as D, and will be as old as E was when he was as old as C is now'. B said to A, 'You may be older than F but G is as old as I was when you were as old as G is, and D will be as old as F was when F will be as old as G is'. (Working this out gives the age order: E > C > B = A > G > F > D, where A and B are of a similar age group.)

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Five of India's leading models are posing for a photograph promoting world peace and understanding. Rakesh Shreshtha, the photographer, is having a tough time getting them to stand in a straight line, because Aishwarya refuses to stand next to Sushmita, since Sushmita had said something about her in a leading gossip magazine. Rachel and Anu want to stand together because they are good friends. Manpreet, on the other hand, cannot get along well with Rachel, because there is some talk about Rachel scheming to get a contract already awarded to Manpreet. Anu believes her friendly astrologer, who has asked her to stand at the extreme right for all group photographs. Finally, Rakesh managed to pacify the girls and got a beautiful picture of the five girls standing in a straight line.

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A leading socialite decided to organize a dinner and invited a few of her friends. Only the host and the hostess were sitting at the opposite ends of a rectangular table, with three persons along each side. The pre-requisite for the seating arrangement was that each person must be seated such that at least on one side he/she has a person of the opposite sex. Maqbool is opposite Shobha, who is not the hostess. Ratan has a woman on his right and is sitting opposite a woman. Monisha is sitting to the hostess's right, next to Dhirubhai. One person is seated between Madhuri and Urmila, who is not the hostess. The men were Maqbool, Ratan, Dhirubhai and Jackie, while the women were Madhuri, Urmila, Shobha and Monisha.

If \(f(x) = 2x + 3\) and \(g(x) = \frac{x - 3}{2}\).

Data is provided followed by two statements - I and II - both resulting in a value, say I and II. As your answer,
Mark (a) if I > II.
Mark (b) if I < II.
Mark (c) if I = II.
Mark (d) if nothing can be said.

If Aishwarya stands to the extreme left, which is the girl who stands second from left?
Which choice of words in a sentence is not possible, if no rules of grammar are to be violated?
If Grumbs and Harrumphs are the Bingoes in a sentence, and no rule of grammar is violated, which of the following is / are true?
I. Ihavitoo is the Cingo.
II. Lovitoo is the Dingo.
III. Either Lovitoo or Metoo must be one of — or both — the Dingoes.
Which of the following is a possible sentence if no grammar rule is violated?
If in a sentence Grumbs is the Bingo and no rule of grammar is violated, which of the following cannot be true?
Who is the eldest brother?