XAT 2010 Question Paper

Read the sentences and choose the option that best arranges them in a logical order.
1. He might make the opposite mistake; when I want to assign a name to this group of nuts, he might understand it as a numeral,
2. Now, one can ostensively define a proper name, the name of a colour, the name of a material, a numeral, the name of a point of the compass and so on.
3. The definition of the number two. "That is called 'two' " pointing to two nuts is perfectly exact. But how can two be defined like that?
4. He may suppose this; but perhaps he does not.
5. The person one gives the definition to doesn't know what one wants to call "two"; he will suppose that "two" is the name given to this group of nuts!

The innate factor responsible for the status of human beings in later part of 22nd century is

Choose the option that cannot be inferred from the Idea discussed in the transcript:

Widespread use of lectures in class-rooms in business schools leads to severe negative consequences. The first consequence is theoretically knowledgeable graduates who cannot apply theory to solve real world problems. The more serious consequence is that lectures encourage a feeling of total omniscience among them which persists for quite some time after graduating. This feeling prevents "them from learning from their subordinates and colleagues.

Which of the following can best help to reduce these negative consequences among the students in a business school?

Which of the following, if true, will weaken the argument described in the passage?

Identify the statement(s) that is(are) logically consistent with the content of the paragraph:
I. Silver is an ardent critic of Higgs Boson theory.
II. Everyday life has nothing to do with experimental confirmation of the properties of proton, neutron and electron.
III. Identifying more information about Higgs Boson is a significant contribution to particle physics.
IV. Research on exotic particles in particle physics is an expensive proposition.

Which phrase would be the best title of the passage?

Which is nearest to the central idea in the passage?

Social roles may either conflict or cooperate within any given person, depending upon the circumstances. They conflict when the behaviour patterns demanded by one role cannot be performed while performing the second role. Thus, one cannot easily be a saintly rake or a feminine brute, but given an understanding husband, a woman can be both a loving wife and a loving mother with no conflict between the roles.
Which of the following methods is used by the author to make his or her point?

While no one made any_______________the financial scandal while he was in the room, there was a feeling of awe to the ________ created by the broker that had snared many unsuspecting investors under the ______________that everyone would end up rich and the fact that he had been celebrating his ________of the legal authorities by attending parties. 

The option that best fills the blanks in the above paragraph would be:

Consider the following examples:
i) Red Cross volunteer who donates blood every year to thank an anonymous donor who saved the life of his mother some time back
ii) A voluntary organization which conducts regular blood donation camps to improve its legitimacy.

As per the passage, correct statement(s) related to the above examples would be:
I. The source of motivation for both examples is same
II. Individuals may commit actions for reasons beyond duty
III. Both examples illustrate the concept of moral worth

Which of the following inferences would be against the ideas in the passage?
I. Kantian ethics considers the moral worth of an inclination on the basis of its consequence.
II. Actions motivated by the inclination of an individual lacks moral worth.
III. Elements of moral obligation reduce the moral worth of a duty, which has some worth in itself.

“So you want me to proscribe Ceecee... ”. The most suitable inference about Ceecee can be:

Read the sentences and choose the option that best arranges them in a logical order.
1. Well, it may mean various things; but one very likely thinks first of all that a picture of the object comes before the child’s mind when it hears the word.
2. But what does this mean?
3. I will call it “ostensive teaching of words”. I say that it will form an important part of the training, because it is so with human beings; not because it could not be imagined otherwise.
4. But now, if this does happen - is it the purpose of the word? Yes, it may be the purpose. I can imagine such a use of words (of series of sounds).
5. This ostensive teaching of words can be said to establish an association between the word and the thing.

The boss called to inform that he _________ be coming to office that day. However the employees did not take it easy as they know it was his _________ to give them a surprise by coming in and checking who was at work. Any employee, once caught not working, would then be required to _________ on the reasons for not working and if the boss was not satisfied the employee had to work on Sunday to __________ the wrong.
The option that best fills the blanks in the above paragraph would be:

Which of the following conclusions can be drawn from the passage?
1. Singular, non replicable events can be assigned numerical probability value.
2. Probability calculation requires data of the class of people or of events.
3. The data about a class of events can be used to predict the future of any specific event.

Which of the following statements would the author(s) disagree to the most?
The outcome of a boxing match to be held in Los Angeles between two boxers, Joe and Mark, belonging to two different boxing clubs can be analysed and an outcome can be assigned a numerical value:

Which of the following statements would the author(s) agree to the most?
The outcome of a boxing match to be held in Los Angeles between two boxers, Joe and Mark, belonging to two different boxing clubs can be analysed and an outcome can be assigned a numerical value:

“The sum of behaviour is to retain a man’s dignity without intruding upon the liberty of others”, stated Sir Francis Bacon. If this is the case, then not intruding upon another’s liberty is impossible.
The conclusion strongly implied by the author of the passage is:

Gourmet is to gourmand as

In the song sung on Independence day, Ram’s voice was ___________. The option that best fills in the blank in the above sentence would be:

In the election of 2009, the internet emerged as the new communication ______________ to be used by political parties to inform the voters about their agenda.
The option that best fills in the blank in the above sentence would be:

“Indigestion? Acidity? Unable to sleep?...Don’t spend the time tossing and turning! Take Magix for a sound, restful sleep ... you‘ll soon fall asleep, and wake up refreshed and energized. Remember ... Magix when you are suffering from acidity and need that sleep!”
All of the following are claims of Magix except:

Filmmakers tend to highlight their emotional points with visuals, rather than dialogue. Words tend to be the tools of playwrights. Images are the stuff that films are made of. Nevertheless, many successful films have been made from stage plays and contain little else than one location or one stage set.
The option most opposite to the idea in the paragraph:

Classify following sentences into Fact (F), Judgment (J) and Inference (I) based on the definitions provided below, and choose the most suitable sequence among the given options.

Fact (F): If it is to a known matter of direct observation, or an existing reality or something known to be true.
Judgment (J): If it is an opinion or estimate or anticipation of common sense or intention.
Inference (I): If it is logical conclusion or deduction about something based on the knowledge of facts.
i) Proper allocation of resources is required for the overall development of our economy.
ii) Government has decided to allocate the gas from KG basin to power fertiliser sector.
iii) A court decision against the declared policy guidelines can result in government intervention in the form of an appeal.
iv) Some section of the society may consider this decision as a deliberate attempt to protect some private interest.

The statement “Some words are highly inflammable”.

From the purists’ perspective, the “war” between two sets of people can best be

____________ children in rains run the risk of getting lost.
The option that best fills the blank in the above sentence would be:

The increase in the number of reality shows on television channels bolsters the contention that channels owners are more interested in boosting their revenues by pandering to voyeuristic tendencies of viewers.
The premise behind the above argument is that

An extract from a magazine’s weekly forecast for different sun signs is given below. Analyse the extract and answer the following question.

Pisces (February 19 - March 20)

“...The efforts you make could set the stage for some new opportunities later on. Keep ahead of the opposition by using your imagination and by being original.”

For a person possessing scientific temperament, the forecast for people belonging to the sun sign

Unlike other retail outlets, where items are purchased in any number of units the customer wants, in super - markets items are grouped in bulk packages. This bulk buying offers savings to the customer. The option to buy at wholesale prices by buying in bulk makes super - markets a practical choice for budget - conscious consumers.
Which of the following is an assumption necessary to the author’s argument?

Which of the following are the reasons for Jet Airways not doing well?
1. Rising ATF prices
2. Reduced passenger load
3. Declining service quality
4. Staff travelling to Dubai

The total loss for the airline industry was likely to be Rs. 10,000 crore. Jet Airlines lost Rs. 3,000 crore, Air India lost Rs. “X” crore and “rest of the airlines” lost Rs. “Y” crore. What was the loss for the “rest of the airlines”, in 2008?

Suppose fuel constitutes 30% of the revenues, do you think airlines would be in a better situation by reducing prices?

If Panda is lying, which of the following statements cannot be true?

Dr. Puneet worried about the test results of his patient, Ms. Benita. Ms. Benita was an old rich widow with no dependents. The results indicate that Ms. Benita has the potentially fatal Lymphanigioleiomyomatosis (LAM) disease. LAM is rare and difficult to diagnose. People with LAM often need oxygen and lung transplants as the disease continues its course. According to the test results, Ms. Benita might have got it.

Dr. Puneet explained the situation to Ms. Benita carefully. Without naming the disease, he explained that the disease was progressive and would need treatment using drugs which were still at the experimental stage. Even then, the chance of success was not too bright. If the treatment was unsuccessful, then they would have to get ready for a lung transplant. The lung transplant itself was a risky course of treatment. Even if successful, she would require constant medical support and treatment.

Ms. Benita looked blank. She asks Dr. Puneet for his advice about the course of action. He nods gravely, ”I’m afraid, Ms. Benita, I think there is only one course we can take.”

What should be Dr. Puneet’s advice?

For a very large number n, $P^{n}+ Q^{n}$ is

For a very large number n, nP + nQ is

The face value of bond E must be

Madhubala Devi purchased one or more of the 5 available bonds from her bonus pay and spent the remainder. She made the purchase decision such thather return from the bonds is maximized. Her return
from the bonds is

The price of bond C must be

Which of the following groups of puppies could be in pen 2?

If Earl shares a pen with Fala, then which of the following MUST be true?

If Earl and Fala are in different pens, then which of the following must NOT be true?

If Samuel is telling the truth, which of the following statements is true?

What was Sheela’s word?

What could be Titli’s answer?

What was Titli’s order?

What was Easwar’s number?

What was Bineet’s word?

All of the following statements can be true except:

Which of the following must be true?

Which of the following is a plausible performance sequence?

Which of the following statements must be true?

Which of the following can be true for the operators operating from 20:00 hrs (of January 05, 2009) to 00:00 hrs (of January 06, 2009)?

Which of the following statements must be true for the operator(s) trained in Gutakal College?

Which of the following is not definitely true?

If five operators are working between 16:00 hrs and 20:00 hrs, which of the following must be true?

The maximum that the company can afford to pay its brand ambassador is

Mr. Khan a popular film actor, agrees to sign the contract to become the company’s brand ambassador for Rs. 9 crore. The cost to the company of putting a car on the road also got escalated. The maximum escalation in cost of putting a car on the road, for which the company can afford to sign the contract with Mr.Khan is

Mr. Khan a popular film actor, agrees to sign the contract to become the company’s brand ambassador for Rs. 9 crore. The cost to the company of putting a car on the road also got escalated by Rs. 1000. If the company signs the contract with Mr.Khan, its profit will

Profit rate of Paharpur Cement is more than the profit rate of Bahsin Cement in:

If between Jan - Mar 2009 and Apr - Jun 2009 sales of Paharpur Cement increased from 543278 to 698236 and that of Bahsin Cement decreased from 526532 to 499874, then which of the following is true?

If between Apr - Jun 2009 and Jul - Sept 2009 sales of Paharpur Cement increased by 2.25%, its profit increased by

Compared to January, the total expenditure on carnations in March

Compared to January, the sales of roses in July

Compared to January, the price of carnations in December

In a circular field, AOB and COD are two mutually perpendicular diameters having length of 4 meters. X is the mid - point of OA. Y is the point on the circumference such that ∠YOD = 30°. Which of the following correctly gives the relation among the three alternate paths from X to Y?

If x and y are real numbers, then the minimum value of $x^{2}+ 4xy+ 6y^{2}-4y+ 4$ is

Let X be a four - digit positive integer such that the unit digit of X is prime and 

the product of all digits of X is also prime. How many such integers are possible?

There are two types of employees in Sun Metals, general graduates and engineers. 40% of the employees in Sun Metals are general graduates, and 75% of the engineers earn more than Rs. 5 lakh/year. If 50% of the organisation’s employees earn more than Rs. 5 lakh/year, what proportion of the general graduates employed by the organisation earn Rs. 5 lakh or less?

In an equilateral triangle ABC, whose length of each side is 3 cm, D is the point on BC such that BD = ½ CD. What is the length of AD?

Two poles of height 2 meters and 3 meters are 5 meters apart. The height of the point of intersection of the lines joining the top of each poles to the foot of the opposite pole is,

A manufacturer has 200 litres of acid solution which has 15% acid content. How many litres of acid solution with 30% acid content may be added so that acid content in the resulting mixture will be more than 20% but less than 25%?

Determine the value(s) of “a” for which the point $(a, a^{2})$ lies inside the triangle formed by the lines: 2x+ 3y= 1, x+ 2y=3 and 5x-6y= 1

The supervisor of a packaging unit of a milk plant is being pressurised to finish the job closer to the distribution time, thus giving the production staff more leeway to cater to last minute demand. He has the option of running the unit at normal speed or at 110% of normal - “fast speed”. He estimates that he will be able to run at the higher speed for 60% of the time. The packet is twice as likely to be damaged at the higher speed which would mean temporarily stopping the process. If a packet on a randomly selected packaging runs has probability of 0.112 of damage, what is the probability that the packet will not be damaged at normal speed?

The y - ordinates of $A_8$ is

The number of point(s) satisfying the above mentioned characteristics and not in the first quadrant is/are

The operation (x) is defined by
(i) (1) = 2
(ii)(x  + y) = (x).(y)

for all positive integers x and y.
If $\sum_{x=1}^n(x)$ = 1022 then n =

Amarendra and Dharmendra are brothers. One day they start at the same time from their home for Tatanagar railway station in their respective cars. Amarendra took 25 minutes to reach the station. After reaching the station Amarendra found that Dharmendra is 2500 m away from the station. The distance of Tatanagar Station from their home is 15 km. Next day Dharmendra decided to start 7 minutes early. 

If they drive at the speed same as the previous day then Amarendra will reach the station

Let $S_{1}, S_{2},...$ be the squares such that for each n ≥ 1, the length of the diagonal of $S_{n}$ is equal to the length of the side of $S_{n+1}$. If the length of the side of $S_{3}$ is 4 cm, what is the length of the side of $S_{n}$ ?

In a clock having a circular scale of twelve hours, when time changes from 7:45 A.M. to 7:47 A.M., 

by how many degrees the angle formed by the hour hand and minute hand changes?

In the trapezoid PQRS, PS is parallel to QR. PQ and SR are extended to meet at A. What is the value of $\angle$PAS ?
I. PQ = 3, RS = 4 and $\angle$ QPS = 60°.
II. PS = 10, QR = 5.

A sequence of positive integer is defined as $A_{n+1}=A_{n}^{2}+1$ for each n ≥ 0. What is the value of Greatest Common Divisor of $A_{900}$ and $A_{1000}$ ?
I. $A_{0} = 1$
II. $A_{1} = 2$

a,  b,  c,  d and  e are integers such that 1 ≤ a < b < c < d < e. If a, b, c, d and e are geometric progression and lcm (m , n) is the least common multiple of m and n, then the maximum value of $\frac{1}{lcm(a,b)}+\frac{1}{lcm(b,c)}+\frac{1}{lcm(c,d)}+\frac{1}{lcm(d,e)}$ is

If Books and More have earned 20% profit overall, then in film DVDs they made

If Books and More made 50% loss in film DVDs, then overall they made

ABCD is a parallelogram with $\angle$ ABC = 60°. If the longer diagonal is of length 7 cm and the area of the parallelogram ABCD is $15\frac{\sqrt{3}}{2}$ sq.cm, then the perimeter of the parallelogram (in cm) is

If all letters of the word "CHCJL" be arranged in an English dictionary, what will be the $50^{th}$ word?

A manufacturer produces two types of products - A and B, which are subjected to two types of operations, viz. grinding and polishing. Each unit of product A takes 2 hours of grinding and 3 hours of polishing whereas product B takes 3 hours of grinding and 2 hours of polishing. The manufacturer has 10 grinders and 15 polishers. Each grinder operates for 12 hours/day and each polisher 10 hours/day. The profit margin per unit of A and B are Rs. 5/ - and Rs. 7/ - respectively. If the manufacturer utilises all his resources for producing these two types of items, what is the maximum profit that the manufacturer can earn in a day?

A tank internally measuring 150cm × 120cm × 100cm has $1281600cm^{3}$ water in it. Porous bricks are placed in the water until the tank is full up to its brim. Each brick absorbs one tenth of its volume of water. How many bricks, of 20cm × 6cm × 4cm, can be put in the tank without spilling over the water?

The chance of India winning a cricket match against Australia is 1/6. What is the minimum number of matches India should play against Australia so that there is a fair chance of winning atleast one match?

A chocolate dealer has to send chocolates of three brands to a shopkeeper. All the brands are packed in boxes of same size. The number of boxes to be sent is 96 of brand A, 240 of brand B and 336 of brand C. These boxes are to be packed in cartons of same size containing equal number of boxes. Each carton should contain boxes of same brand of chocolates. What could be the minimum number of cartons that the dealer has to send?

Should Bhola still think of doing business?

Bhola wanted to advise the government about the new tourism policy. Bhola had developed a few alternatives as given below. Choose the best alternative.

Bhola wished he was heading the government. He had listed down five concrete measures he would take if he were to head the government. Choose the best alternative.

Visualising he was heading the state government, Bhola thought of a likely problematic situation. Five years have passed. In these five years, Bhola has initiated a lot of pro-environment steps, including making people aware of the fact that it was this pristine environment which brought in tourists in the first place. Now he faced state elections. The opposition accused him of stopping development and causing unemployment under the guise of environment protection. If Bhola were to consider this accusation as a short-term battle, which option would Guruji suggest to Bhola to score a quick win?

Some environmentalists tired of waiting for ‘green economics’ to catch up with the society at large, have adopted their own strategies for tipping the financial calculation in favour of the land. In the forest surrounding Vancouver, where trees are being felled for paper to print philosophy books (well, maybe one or two, but it’s worth it), groups have used metal spikes hidden in trees to prevent the chainsaws from operating safely, pushing up the price of harvesting the trees. In Phoenix, Arizona, where mountain nature reserves have been encroached on by new houses, hooded vigilantes have burnt down the new residences .The arsonists, according to the local paper, pray before they burn down a house that no one will get hurt, thinking primarily of the fire-fighters - the new houses are burned while still empty. ‘We don’t pray for ourselves not to get caught - that’s God’s will.’ one is quoted as saying.

As per the activists, all aforementioned activities seem clearly very principled. But is it ethical?

If the objective of Ranjan is to
(i) create a good image of himself as a politician and
(ii) create a long lasting positive impact, the best decision he should take is :

Identify the best rationale that may force Ranjan as a politician to take a decision in favour of IRC.

According to DTC, each athlete/sportsperson need to submit a schedule for three months (in advance) that specifies an hour each day when they can be randomly tested for drugs. DTC also assured the confidentiality of the submitted schedule by
(i) limiting the access of player-supplied information to two senior officers,
(ii) these officers will have the internet based access only to the schedule of those sports persons who are randomly selected for testing (and not of everyone) and
(iii) introducing similar security features for DTC database as in case of financial institutions. Top three popular players realize that no reason other than security can help them to get a favourable decision from Ranjan. Hence during discussions they should focus on all options except