List of top Questions asked in XAT

If all letters of the word "CHCJL" be arranged in an English dictionary, what will be the 50th 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.
- Each unit of 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 per day and each polisher for 10 hours per 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 150 cm × 120 cm × 100 cm has 1281600 cm\(^3\) 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 size 20 cm × 6 cm × 4 cm, can be put in the tank without spilling over the water?

A contractor employed a certain number of workers to complete a project in 100 days. However, after 25 days, he found that only one-third of the work had been completed. How many additional workers must he employ so that the project can be completed on time?

The chance of India winning a cricket match against Australia is \( \tfrac{1}{6} \). What is the minimum number of matches India should play against Australia so that there is a fair chance of winning at least one match?

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 run has probability of 0.112 of damage, what is the probability that the packet will not be damaged at normal speed?

The operation $(x)$ is defined by: (i) $(1)=2$
(ii) $(x+y)=(x)\cdot(y)$
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 same speed as the previous day then Amarendra will reach the station:

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?

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 pole 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 $5x-6y=1$.

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 $\angle YOD = 30^\circ$. 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 4 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?

Some environmentalists, tired of waiting for ‘green economics’ to catch up with 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, groups have used metal spikes hidden in trees to prevent chainsaws from operating safely, pushing up the cost of harvesting 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 firefighters; 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?

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 Lymphangioleiomyomatosis (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?

What was Sheela’s word?

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

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

Weekly forecast (Pisces): “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 a scientific temperament, this forecast for Pisces

“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?

In the song sung on Independence Day, Ram’s voice was _________. The option that best fills the blank 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 the blank would be: