CAT DI LR section has become increasingly tough beginning from 2015. DILR used to have distinct Data Interpretation sets and Logical reasoning puzzles. It used to be about computation and ability to read charts, graphs and tables for the Data Interpretation and Logical reasoning used to have Family tree, grid puzzles, arrangement, tournaments, cubes as some standard forms of puzzles.Since 2015 this pattern has been broken. With passing years, even the distinction between DI and LR has come down significantly. All you get in that 40 minutes, are 4 high quality puzzles, with more than a few of them being significantly tough. Between CAT 2017 Question paper to CAT 2023 Question paper, you get to solve 102 actual CAT puzzles. This page intends to provide you just that. So, head on and crack those puzzles!
There are only three female students – Amala, Koli and Rini – and only three
male students – Biman, Mathew and Shyamal – in a course. The course has two evaluation
components, a project and a test. The aggregate score in the course is a weighted average of
the two components, with the weights being positive and adding to 1.
The
projects are done in groups of two, with each group consisting of a female and a male
student. Both the group members obtain the same score in the project.
The
following additional facts are known about the scores in the project and the
test.
1. The minimum, maximum and the average of both project and test scores
were identical – 40, 80 and 60, respectively.
2. The test scores of the students were
all multiples of 10; four of them were distinct and the remaining two were equal to the
average test scores.
3. Amala's score in the project was double that of Koli in the
same, but Koli scored 20 more than Amala in the test. Yet Amala had the highest aggregate
score.
4. Shyamal scored the second highest in the test. He scored two more than Koli,
but two less than Amala in the aggregate.
5. Biman scored the second lowest in the test
and the lowest in the aggregate.
6. Mathew scored more than Rini in the project, but
less than her in the test.
What was Rini's score in the project?
What was the weight of the test component?
What was the maximum aggregate score obtained by the students?
What was Mathew's score in the test?
Which of the following pairs of students were part of the same project team?
i)
Amala and Biman
ii) Koli and Mathew
In a coaching class, some students register online, and some others register
offline. No student registers both online and offline; hence the total registration number
is the sum of online and offline registrations. The following facts and table pertain to
these registration numbers for the five months – January to May of 2023. The table shows the
minimum, maximum, median registration numbers of these five months, separately for online,
offline and total number of registrations. The following additional facts are
known.
1. In every month, both online and offline registration numbers were
multiples of 10.
2. In January, the number of offline registrations was twice that of
online registrations.
3. In April, the number of online registrations was twice that of
offline registrations.
4. The number of online registrations in March was the same as
the number of offline registrations in February.
5. The number of online registrations
was the largest in May.
What was the total number of registrations in April?
What was the number of online registrations in January?
Which of the following statements can be true?
I. The number of offline
registrations was the smallest in May.
II. The total number of registrations was
the smallest in February.
What best can be concluded about the number of offline registrations in February?
Which pair of months definitely had the same total number of registrations?
I.
January and April
II. February and May
An air conditioner (AC) company has four dealers – D1, D2, D3 and D4 in a city.
It is evaluating sales performances of these dealers. The company sells two variants of ACs
– Window and Split. Both these variants can be either Inverter type or Non-inverter type. It
is known that of the total number of ACs sold in the city, 25% were of Window variant, while
the rest were of Split variant. Among the Inverter ACs sold, 20% were of Window
variant.
The following information is also known:
1. Every dealer sold at least
two window ACs.
2. D1 sold 13 inverter ACs, while D3 sold 5 Non-inverter ACs.
3. A
total of six Window Non-inverter ACs and 36 Split Inverter ACs were sold in the city.
4. The
number of Split ACs sold by D1 was twice the number of Window ACs sold by it.
5. D3 and D4
sold an equal number of Window ACs and this number was one-third of the number of similar
ACs sold by D2.
6. D2 and D3 were the only ones who sold Window Non-inverter ACs. The number
of these ACs sold by D2 was twice the number of these ACs sold by D3.
7. D3 and D4 sold
an equal number of Split Inverter ACs. This number was half the number of similar ACs sold
by D2.
How many Split Inverter ACs did D2 sell?
What percentage of ACs sold were of Non-inverter type?
What was the total number of ACs sold by D2 and D4?
Which of the following statements is necessarily false?
If D3 and D4 sold an equal number of ACs, then what was the number of Non-inverter ACs sold by D2?
A, B, C, D, E and F are the six police stations in an area, which are connected
by streets as shown below. Four teams – Team 1, Team 2, Team 3 and Team 4 –
patrol
these streets continuously between 09:00 hrs. and 12:00 hrs. each day.
The teams need 30
minutes to cross a street connecting one police station to another. All four teams start
from Station A at 09:00 hrs. and must return to Station A by 12:00 hrs. They can also pass
via Station A at any point on their journeys.
The following facts are
known:
1. None of the streets has more than one team traveling along it in any
direction at any point in time.
2. Teams 2 and 3 are the only ones in stations E and D
respectively at 10:00 hrs.
3. Teams 1 and 3 are the only ones in station E at 10:30
hrs.
4. Teams 1 and 4 are the only ones in stations B and E respectively at 11:30
hrs.
5. Team 1 and Team 4 are the only teams that patrol the street connecting stations
A and E.
6. Team 4 never passes through Stations B, D or F.
Which one among the following stations is visited the largest number of times?
How many times do the teams pass through Station B in a day?
Which team patrols the street connecting Stations D and E at 10:15 hrs?
How many times does Team 4 pass through Station E in a day?
How many teams pass through Station C in a day?
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