List of top Data Interpretation & Logical Reasoning (DILR) Questions asked in CAT

In recent report, the gross enrollment ratios at the primary level, that is the number of children enrolled in class I – V, as a proportion of all children aged 6-10 years, were shown to be very high for most states, in many cases>100%. These figures are not worth anything, since they are based on official enrolment rates compiled from school records. They might as well stand for gross exaggeration ratios.
Which of the following support the exaggeration above?
Although in the limited sense of freedom regarding appointments and internal working, the independence of the Central Bank is unequivocally ensured, the same cannot be said of its right to pursue monetary policy without co-ordination with the central government. The role of the Central Bank has turned out to be subordinate and advisory in nature. Which one of the following best supports the conclusion drawn in the passage?
About 96% of Scandinavian moths have ears tuned to the ultrasonic pulses that bats, their predators, emit. But the remaining 4% do not have ears and are deaf. However, they have a larger wingspan than the hearing moths, and also have higher wing-loadings—the ratio between a wing's area and its weight—meaning higher maneuverability. Which one of the following can be best inferred from the above passage?
Szymanski suggests that the problem of racism in football may be present even today. He begins by verifying an earlier hypothesis that clubs' wage bills explain 90% of their performance. Thus, if players' salaries were to be only based on their abilities, clubs that spend more should finish higher. If there is pay discrimination against some group of players—fewer teams bidding for black players thus lowering the salaries for blacks with the same ability as whites—that neat relation may no longer hold. He concludes that certain clubs seem to have achieved much less than what they could have, by not recruiting black players. Which one of the following findings would best support Szymanski's conclusion?
Is $z$ the smallest of $x, y, z$?
Statement A
A. $x$ is greater than at least one of $y$ \& $z$.
Statement B
B. $y$ is greater than at least one of $x$ \& $z$.
Ghosh flies to South Africa from Mumbai non-stop. His flight leaves Mumbai at 5 am on 10\textsuperscript{th} December 2000 as per Indian Standard Time. What is the local time in South Africa when Mr. Ghosh reaches there?
Statement A
A. The average speed of the plane during the flight is 700 km/h.
Statement B
B. The flight distance is 10,500 km.
Two lines are given by the equations $ax + by = c$ and $dx + ey = f$. Do they intersect?
Statement A
A. $a, b, c, d, e, f$ are distinct \& real.
Statement B
B. $c \neq 0$ \& $f \neq 0$.
Harshad bought shares of a certain company on one day and sold them the next day. He paid a brokerage of $1%$. What was Harshad’s profit per rupee?
Statement A
A. His selling price was $1.05$ times his purchase price.
Statement B
B. The number of shares he purchased was $100$.
$a \oplus b = 1$ if $a,b>0$ or $a,b<0$; \quad $a \oplus b = -1$ otherwise.
What is $(2 \oplus 0) \oplus (-5 \oplus -6)$?
Statement A
A. $a \oplus b = 0$ if $a=0$
Statement B
B. $a \oplus b = b \oplus a$
$x$ is a real number. Is $|x|<3$?
Statement A
A. $x(x+3)<0$
Statement B
B. $x(x-3)>0$
What are the ages of X and Y?
Statement A
A. The difference in their ages is $6$.
Statement B
B. The product of their ages is divisible by $6$.
Two concentric circles have the same centre O. A chord on the outer circle AE intersects the inner circle in points B and D. C is a point on the segment BD. What is the ratio of AC to CE?
Statement A
A. Ratio of lengths of BC to CD is 1.
Statement B
B. A third circle intersects the inner circle at B and D. C is on the line joining the centres of the third and inner circle.
How many people watch program P?
Statement A
A. The number watching Q is $1000$; the number watching both P and Q is $100$.
Statement B
B. The number of people watching either P or Q or both is $1500$.
In a triangle PQR, $\angle PRQ = 90^\circ$. What is $PR + RQ$?
Statement A
A. The diameter of the incircle is $10$.

Statement B
B. The diameter of the circumcircle is $18$.

The following pie chart shows the trade of India during 1997 to 1998 and first 8 months of 1998-99. Total trade is defined as the sum of exports and imports from a particular region. Trade deficit is defined as excess of imports over exports. Trade deficit may be negative. The regions are

Assume that the average monthly exports from India and Imports to India during the remaining 4 months of 98-99 would be same as for the first 8 months of the year

These questions are based on the Price Fluctuations of 4 commodities– arhar, pepper, sugar and gold during February– July 1999 as described below:

The following graph shows the sales of the company IVP limited for the years 1994 to 1999. The sales of the company have risen from Rs. 100=00 crores in 1994 to Rs. 680=00 crores in 1999. The Net profit of the company has also gone up from Rs. 2.20 crores in 1994 to Rs. 12=00 crores in the year 1999. Net profit is calculated as surplus sales over the total cost for the company.

These questions are based on the table below presenting data on percentage population covered by drinking water and sanitation facilities in selected Asian countries.

Population Covered by Drinking Water and Sanitation Facilities

Percentage Coverage

CountryDrinking WaterSanitation Facilities
UrbanRuralTotalUrbanRuralTotal
India857981701429
Bangladesh999697794448
China97566774724
Pakistan827974772247
Philippines928086886677
Indonesia795462734051
Sri Lanka885257686263
Nepal886063581218

Definition: Country A is said to dominate B (or A > B) if A has higher percentage in total of the coverage for both drinking water and sanitation facilities, and B is said to be dominated by A (or B < A). A country is said to be on the coverage frontier if no other country dominates it. Similarly, a country is not on the coverage frontier if it is dominated by at least one other country.

These questions are based on the table below presenting data on percentage population covered by drinking water and sanitation facilities in selected Asian countries.

Population Covered by Drinking Water and Sanitation Facilities

Percentage Coverage

CountryDrinking WaterSanitation Facilities
UrbanRuralTotalUrbanRuralTotal
India857981701429
Bangladesh999697794448
China97566774724
Pakistan827974772247
Philippines928086886677
Indonesia795462734051
Sri Lanka885257686263
Nepal886063581218

Definition: Country A is said to dominate B (or A > B) if A has higher percentage in total of the coverage for both drinking water and sanitation facilities, and B is said to be dominated by A (or B < A). A country is said to be on the coverage frontier if no other country dominates it. Similarly, a country is not on the coverage frontier if it is dominated by at least one other country. The gap between the population coverages of sanitation facilities and drinking water facilities is a measure of disparity in coverage.

How many among the four students A, B, C and D have passed the exam?
Statement A
A. The following is a true statement: A & B passed the exam.
Statement B
B. The following is a false statement: At least one among C & D has passed the exam.
What is the distance x between two cities A & B in integral number of kms?
Statement A
A. x satisfies the equation \( \log_2 x = \sqrt{x} \).
Statement B
B. \( x \leq 10 \) kms.
A small storage tank is spherical in shape. What is the storage volume of the tank?
Statement A
A. The wall thickness of the tank is 1 cm.
Statement B
B. When the empty spherical tank is immersed in a large tank filled with water, 20 liters of water overflow from the large tank.
The average weight of students in a class is 50 kg. What is the number of students in the class?
Statement A
A. The heaviest and the lightest members of the class weigh 60 kg and 40 kg respectively.
Statement B
B. Exclusion of the heaviest and the lightest members from the class does not change the average weight of the students.
Mr. Mendel grew one hundred flowering plants from black seeds and white seeds, each seed giving rise to one plant. A plant gives flowers of only one colour. From a black seed comes a plant giving red or blue flowers. From a white seed comes a plant giving red or white flowers. How many black seeds were used by Mr. Mendel?
Statement A
A. The number of plants with white flowers was 10.
Statement B
B. The number of plants with red flowers was 70.