List of top Questions asked in XAT

Chatterjee, the MLA of Trikathapur, owes his election success to his close friend and businessman Ghosh. The victory had appeared unlikely for Chatterjee after the arrival of Bhowmick, a budding politician with hordes of money. However, his clean image along with Ghosh’s money ensured Chatterjee’s resounding victory

Nicky, Manoj and Benita are graduates from a top ranked B-school. They joined ABC corporation a year ago. ABC is known for its performance oriented culture. This is the rest time the organization recruited from a top ranked B-school. They are part of a +ve member team with two others from lower ranked B-schools. Nicky, Manoj and Benita draw 40 percent higher salaries than other team members. This team reports to Amelia Ganeshmurthi, a senior Executive.

Recently a private food testing agency reported the presence of a harmful chemical in Crunchy Chips, a product of a fast moving consumer goods giant. The report sparked a nationwide Outcry.

Purushottam Bhatnagar own and operates a sweetshop Puru and Sons. He is about 60 years old is eager to hand over the business to his sons Ratan and Pramod. He however, fears that his sons, fresh from college may not understand the tricks of the trade.

Six people working at the Bengaluru office of Simsys are planning to buy ats at a real estate project at White eld. Their preferences are listed below:

Preferences of Persons

Person	Designation	First Preference	Second Preference	Third Preference
Bhatia	Vice President	Ground floor flat	Price $ < $ Rs 50 lacs	Shopping mall within 5 km
Patel	Client Relationship Manager	Distance to office $ < 10 $ km	Recreation Club	-
Khan	Project Manager	Recreation Club	Place for morning walk	Car parking
Singh	Senior Software Engineer	Shopping mall within 15 km	Price $ < $ Rs 30 lacs	Place for morning walk
Yadav	Assistant Software Engineer	Price $ < $ Rs 50 lacs	Distance to office $ < 10 $ km	-
Lingdo	Assistant Software Engineer	Recreation club	-	-

Real Estate Projects

Project	Price	Distance to office	Morning Walk	Recreation Club	Distance to Mall	Car Parking	Ground Floor Flat
M	Rs 60–80 lacs	$< 5$ km	✓	✓	Inside	✓	✓
N	Rs 45–50 lacs	$< 10$ km	-	-	$> 25$ km	✓	✓
O	Rs 20–25 lacs	$> 20$ km	✓	-	$< 2$ km	-	-
P	Rs 65–80 lacs	$> 15$ km	-	✓	Inside	✓	-
Q	Rs 35–45 lacs	$< 2$ km	✓	-	$< 5$ km	-	-
R	Rs 25–40 lacs	$< 10$ km	✓	-	$> 10$ km	-	-
S	Rs 20–30 lacs	$< 5$ km	-	✓	$> 20$ km	✓	✓

Geetha Gawde can cultivate up to 6 crops a year. Crop A and B are ready for harvest in 2 months; crop C and D in 3 months, and crop E and F in 4 months. Crop A can be cultivated from January to June; crop B can be cultivated from April to September; crop C can be cultivated from May to December; crops D as well as E can be cultivated from August to December, and crop F from November to May. If Geetha plans a change of crop the soil should be left fallow for one month; however, if the same crop is sown no fallow time is needed. Sowing takes place only at the beginning of a month. Geetha can only harvest a maximum of 1000 units of any crop at any point in time. The production cost per unit (incurred at the time of sowing) and price per unit of crop are as follows:

Crop Production Data

Crop	Production cost per unit crop (in USD)	Price per unit crop (in USD)
A	$20$	$60$
B	$5$	$55$
C	$25$	$70$
D	$15$	$75$
E	$5$	$65$
F	$35$	$75$

Consider the set of numbers $\{1,\,3,\,3^{2},\,3^{3},\,\ldots,\,3^{100}\}$. The ratio of the last number and the sum of the remaining numbers is closest to:

Company ABC starts an educational program in collaboration with Institute XYZ. As per the agreement, ABC and XYZ will share profit in $60:40$ ratio. The initial investment of rupee 100{,}000 on infrastructure is borne entirely by ABC whereas the running cost of \rupee 400 per student is borne by XYZ. If each student pays rupee 2000 for the program, find the minimum number of students required to make the program profitable, assuming ABC wants to recover its investment in the very first year and the program has no seat limits.

The difference between the area of the circumcircle and the area of the incircle of an equilateral triangle is $2156\ \text{cm}^2$. What is the area of the equilateral triangle?

For two positive integers $a$ and $b$, if $(a+b)^{(a+b)}$ is divisible by $500$, then the least possible value of $a\times b$ is:

$ABCD$ is a quadrilateral such that $AD=9\ \text{cm}$, $BC=13\ \text{cm}$ and $\angle DAB=\angle BCD=90^\circ$. $P$ and $Q$ are two points on $AB$ and $CD$ respectively, such that $DQ:BP=1:2$ and $DQ$ is an integer. How many values can $DQ$ take, for which the maximum possible area of the quadrilateral $PBQD$ is $150\ \text{cm}^2$?

Study the data given in the table below and answer the question that follow:

Region vs Shop Type

Region \\ Shop Type	North	East	West	South	All India
Grocers	$34.7$	$32$	$32.2$	$30.2$	$32.4$
Pan Bidi	$7.1$	$21.2$	$13.1$	$19.1$	$14.6$
Food Shops	$11.8$	$7.9$	$14.8$	$12$	$11.6$
General Stores	$12.4$	$9.1$	$12$	$6.6$	$10.1$
Electrical Hardware	$8.3$	$5.6$	$7.7$	$5.7$	$6.7$
Chemists	$6$	$5.8$	$5$	$5.7$	$5.7$
Cosmetic Stores	$3.8$	$3.6$	$3.3$	$3.9$	$3.7$
Others	$15.8$	$14.8$	$12$	$16.8$	$15.2$
Total	$100$	$100$	$100$	$100$	$100$

All gures are in percentage Based on survey of ‘shop types’ Kamath categorized Indian states into four geographical regions as shown in the table above. His boss felt that the categorization was inadequate since important labels were missing. Kamath argued that no further labels are required to interpret the data.

This graph depicts the last eight years’ annual salaries (in Rs. lacs.) offered to student during campus placement. Every year 100 students go through placement process. However, at least one of them fails to get placed. The salaries of all unplaced students are marked zero and represented in the graph

The bold line in the graph presents Mean salaries at various years

The islands that are under dispute of ownership between Japan and China are:

The Inuit Paradox:

Takata Corporation was in the news recently because it:

Pilatus PC-7 is a(n):

Which of the following commodity is not rightly matched with its country, if ‘right match’ is considered as one of the top five producers of that commodity?

Which of the following countries has the lowest External Debt?

Which of the following city is not related to the automobile industry?

Which of the following is the closest country to Antarctica?

The “New Horizon” was in news in 2015. It refers to:

Perumal Murugan is a(n):

In percentage terms, which Indian state has the highest forest cover?

Meghnad Saha was a famous:

Crop	Production cost per unit crop (in USD)	Price per unit crop (in USD)
A	\(20\)	\(60\)
B	\(5\)	\(55\)
C	\(25\)	\(70\)
D	\(15\)	\(75\)
E	\(5\)	\(65\)
F	\(35\)	\(75\)

Region \\ Shop Type	North	East	West	South	All India
Grocers	\(34.7\)	\(32\)	\(32.2\)	\(30.2\)	\(32.4\)
Pan Bidi	\(7.1\)	\(21.2\)	\(13.1\)	\(19.1\)	\(14.6\)
Food Shops	\(11.8\)	\(7.9\)	\(14.8\)	\(12\)	\(11.6\)
General Stores	\(12.4\)	\(9.1\)	\(12\)	\(6.6\)	\(10.1\)
Electrical Hardware	\(8.3\)	\(5.6\)	\(7.7\)	\(5.7\)	\(6.7\)
Chemists	\(6\)	\(5.8\)	\(5\)	\(5.7\)	\(5.7\)
Cosmetic Stores	\(3.8\)	\(3.6\)	\(3.3\)	\(3.9\)	\(3.7\)
Others	\(15.8\)	\(14.8\)	\(12\)	\(16.8\)	\(15.2\)
Total	\(100\)	\(100\)	\(100\)	\(100\)	\(100\)

Project	Price	Distance to office	Morning Walk	Recreation Club	Distance to Mall	Car Parking	Ground Floor Flat
M	Rs 60–80 lacs	\(< 5\) km	✓	✓	Inside	✓	✓
N	Rs 45–50 lacs	\(< 10\) km	-	-	\(> 25\) km	✓	✓
O	Rs 20–25 lacs	\(> 20\) km	✓	-	\(< 2\) km	-	-
P	Rs 65–80 lacs	\(> 15\) km	-	✓	Inside	✓	-
Q	Rs 35–45 lacs	\(< 2\) km	✓	-	\(< 5\) km	-	-
R	Rs 25–40 lacs	\(< 10\) km	✓	-	\(> 10\) km	-	-
S	Rs 20–30 lacs	\(< 5\) km	-	✓	\(> 20\) km	✓	✓