CAT · Logical Reasoning and Data Interpretation(LRDI)
CAT 2024 LRDI (Slot 2)
2024
·
22 questions
·
First 10 Solutions Free
Questions 1–10 have full step-by-step solutions visible.
Sign in to unlock all 22 →
Q1
mcq
Set:
The above is a schematic diagram of walkways (indicated by all the
straight-lines) and lakes (3 of them, each in the shape of rectangles – shaded in the
diagram) of a gated area. Different points on the walkway are indicated by letters (A
through P) with distances being OP = 150 m, ON = MN = 300 m, ML = 400 m, EL = 200 m, DE =
400 m.
The following additional information about the facilities in the area is
known.
1. The only entry/exit point is at C.
2. There are many residences within
the gated area; all of them are located on the path AH and ML with four of them being at A,
H, M, and L.
3. The post office is located at P and the bank is located at B.
One resident whose house is located at L, needs to visit the post office as well as the
bank. What is the minimum distance (in m) he has to walk starting from his residence and
returning to his residence after visiting both the post office and the bank?
a.
3200
Correct Answer
b.
2700
c.
3000
d.
3400
No explanation saved for this question yet.
Q2
mcq
Set:
The above is a schematic diagram of walkways (indicated by all the
straight-lines) and lakes (3 of them, each in the shape of rectangles – shaded in the
diagram) of a gated area. Different points on the walkway are indicated by letters (A
through P) with distances being OP = 150 m, ON = MN = 300 m, ML = 400 m, EL = 200 m, DE =
400 m.
The following additional information about the facilities in the area is
known.
1. The only entry/exit point is at C.
2. There are many residences within
the gated area; all of them are located on the path AH and ML with four of them being at A,
H, M, and L.
3. The post office is located at P and the bank is located at B.
One person enters the gated area and decides to walk as much as possible before leaving
the area without walking along any path more than once and always walking next to one of
the lakes. Note that he may cross a point multiple times. How much distance (in m) will
he walk within the gated area?
a.
3800
Correct Answer
b.
2800
c.
3000
d.
3200
No explanation saved for this question yet.
Q3
nat
Set:
The above is a schematic diagram of walkways (indicated by all the
straight-lines) and lakes (3 of them, each in the shape of rectangles – shaded in the
diagram) of a gated area. Different points on the walkway are indicated by letters (A
through P) with distances being OP = 150 m, ON = MN = 300 m, ML = 400 m, EL = 200 m, DE =
400 m.
The following additional information about the facilities in the area is
known.
1. The only entry/exit point is at C.
2. There are many residences within
the gated area; all of them are located on the path AH and ML with four of them being at A,
H, M, and L.
3. The post office is located at P and the bank is located at B.
One resident takes a walk within the gated area starting from A and returning to A
without going through any point (other than A) more than once. What is the maximum
distance (in m) she can walk in this way?
✓ Accepted Answer:
5100
No explanation saved for this question yet.
Q4
nat
Set:
The above is a schematic diagram of walkways (indicated by all the
straight-lines) and lakes (3 of them, each in the shape of rectangles – shaded in the
diagram) of a gated area. Different points on the walkway are indicated by letters (A
through P) with distances being OP = 150 m, ON = MN = 300 m, ML = 400 m, EL = 200 m, DE =
400 m.
The following additional information about the facilities in the area is
known.
1. The only entry/exit point is at C.
2. There are many residences within
the gated area; all of them are located on the path AH and ML with four of them being at A,
H, M, and L.
3. The post office is located at P and the bank is located at B.
Visitors coming for morning walks are allowed to enter as long as they do not pass by any
of the residences and do not cross any point (except C) more than once. What is the
maximum distance (in m) that such a visitor can walk within the gated area?
✓ Accepted Answer:
3500
No explanation saved for this question yet.
Q5
mcq
Set:
Eight gymnastics players numbered 1 through 8 underwent a training camp where
they were coached by three coaches - Xena, Yuki, and Zara. Each coach trained at least two
players. Yuki trained only even numbered players, while Zara trained only odd numbered
players. After the camp, the coaches evaluated the players and gave integer ratings to the
respective players trained by them on a scale of 1 to 7, with 1 being the lowest rating and
7 the highest.
The following additional information is known.
1. Xena
trained more players than Yuki.
2. Player-1 and Player-4 were trained by the same
coach, while the coaches who trained Player-2, Player-3 and Player-5 were all
different.
3. Player-5 and Player-7 were trained by the same coach and got the same
rating. All other players got a unique rating.
4. The average of the ratings of all the
players was 4.
5. Player-2 got the highest rating.
6. The average of the ratings
of the players trained by Yuki was twice that of the players trained by Xena and two more
than that of the players trained by Zara.
7. Player-4's rating was double of
Player-8's and less than Player-5's.
What best can be concluded about the number of players coached by Zara?
a.
Exactly 3
b.
Either 2 or 3 or 4
c.
Exactly 2
Correct Answer
d.
Either 2 or 3
No explanation saved for this question yet.
Q6
nat
Set:
Eight gymnastics players numbered 1 through 8 underwent a training camp where
they were coached by three coaches - Xena, Yuki, and Zara. Each coach trained at least two
players. Yuki trained only even numbered players, while Zara trained only odd numbered
players. After the camp, the coaches evaluated the players and gave integer ratings to the
respective players trained by them on a scale of 1 to 7, with 1 being the lowest rating and
7 the highest.
The following additional information is known.
1. Xena
trained more players than Yuki.
2. Player-1 and Player-4 were trained by the same
coach, while the coaches who trained Player-2, Player-3 and Player-5 were all
different.
3. Player-5 and Player-7 were trained by the same coach and got the same
rating. All other players got a unique rating.
4. The average of the ratings of all the
players was 4.
5. Player-2 got the highest rating.
6. The average of the ratings
of the players trained by Yuki was twice that of the players trained by Xena and two more
than that of the players trained by Zara.
7. Player-4's rating was double of
Player-8's and less than Player-5's.
What was the rating of Player-7?
✓ Accepted Answer:
4
No explanation saved for this question yet.
Q7
nat
Set:
Eight gymnastics players numbered 1 through 8 underwent a training camp where
they were coached by three coaches - Xena, Yuki, and Zara. Each coach trained at least two
players. Yuki trained only even numbered players, while Zara trained only odd numbered
players. After the camp, the coaches evaluated the players and gave integer ratings to the
respective players trained by them on a scale of 1 to 7, with 1 being the lowest rating and
7 the highest.
The following additional information is known.
1. Xena
trained more players than Yuki.
2. Player-1 and Player-4 were trained by the same
coach, while the coaches who trained Player-2, Player-3 and Player-5 were all
different.
3. Player-5 and Player-7 were trained by the same coach and got the same
rating. All other players got a unique rating.
4. The average of the ratings of all the
players was 4.
5. Player-2 got the highest rating.
6. The average of the ratings
of the players trained by Yuki was twice that of the players trained by Xena and two more
than that of the players trained by Zara.
7. Player-4's rating was double of
Player-8's and less than Player-5's.
What was the rating of Player-6?
✓ Accepted Answer:
5
No explanation saved for this question yet.
Q8
nat
Set:
Eight gymnastics players numbered 1 through 8 underwent a training camp where
they were coached by three coaches - Xena, Yuki, and Zara. Each coach trained at least two
players. Yuki trained only even numbered players, while Zara trained only odd numbered
players. After the camp, the coaches evaluated the players and gave integer ratings to the
respective players trained by them on a scale of 1 to 7, with 1 being the lowest rating and
7 the highest.
The following additional information is known.
1. Xena
trained more players than Yuki.
2. Player-1 and Player-4 were trained by the same
coach, while the coaches who trained Player-2, Player-3 and Player-5 were all
different.
3. Player-5 and Player-7 were trained by the same coach and got the same
rating. All other players got a unique rating.
4. The average of the ratings of all the
players was 4.
5. Player-2 got the highest rating.
6. The average of the ratings
of the players trained by Yuki was twice that of the players trained by Xena and two more
than that of the players trained by Zara.
7. Player-4's rating was double of
Player-8's and less than Player-5's.
For how many players the ratings can be determined with certainty?
✓ Accepted Answer:
6
No explanation saved for this question yet.
Q9
mcq
Set:
Eight gymnastics players numbered 1 through 8 underwent a training camp where
they were coached by three coaches - Xena, Yuki, and Zara. Each coach trained at least two
players. Yuki trained only even numbered players, while Zara trained only odd numbered
players. After the camp, the coaches evaluated the players and gave integer ratings to the
respective players trained by them on a scale of 1 to 7, with 1 being the lowest rating and
7 the highest.
The following additional information is known.
1. Xena
trained more players than Yuki.
2. Player-1 and Player-4 were trained by the same
coach, while the coaches who trained Player-2, Player-3 and Player-5 were all
different.
3. Player-5 and Player-7 were trained by the same coach and got the same
rating. All other players got a unique rating.
4. The average of the ratings of all the
players was 4.
5. Player-2 got the highest rating.
6. The average of the ratings
of the players trained by Yuki was twice that of the players trained by Xena and two more
than that of the players trained by Zara.
7. Player-4's rating was double of
Player-8's and less than Player-5's.
Who all were the players trained by Xena?
a.
Player-1, Player-3, Player-4, Player-6
b.
Player-1, Player-4, Player-6, Player-8
c.
Player-1, Player-3, Player-4, Player-8
Correct Answer
d.
Player-1, Player-3, Player-4
No explanation saved for this question yet.
Q10
nat
Set:
The numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 are placed in ten slots of the
following grid based on the conditions below.
1. Numbers in any row appear in an increasing order from left
to right.
2. Numbers in any column appear in a decreasing order from top to
bottom.
3. 1 is placed either in the same row or in the same column as 10.
4.
Neither 2 nor 3 is placed in the same row or in the same column as 10.
5. Neither 7
nor 8 is placed in the same row or in the same column as 9.
6. 4 and 6 are placed in
the same row.
What is the row number which has the least sum of numbers placed in that row?
✓ Accepted Answer:
4
No explanation saved for this question yet.
🎉 10 Free Sample Solutions Completed
Unlock All 22 Questions & Solutions
Sign up free in seconds to unlock step-by-step AI answers for the remaining 12 questions.
Q11
mcq
Set:
The numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 are placed in ten slots of the
following grid based on the conditions below.
1. Numbers in any row appear in an increasing order from left
to right.
2. Numbers in any column appear in a decreasing order from top to
bottom.
3. 1 is placed either in the same row or in the same column as 10.
4.
Neither 2 nor 3 is placed in the same row or in the same column as 10.
5. Neither 7
nor 8 is placed in the same row or in the same column as 9.
6. 4 and 6 are placed in
the same row.
Which of the following statements MUST be true?
I. 10 is placed in a slot
in Row 1.
II. 1 is placed in a slot in Row 4.
a.
Both I and II
b.
Only I
c.
Only II
d.
Neither I nor II
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Q12
mcq
Set:
The numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 are placed in ten slots of the
following grid based on the conditions below.
1. Numbers in any row appear in an increasing order from left
to right.
2. Numbers in any column appear in a decreasing order from top to
bottom.
3. 1 is placed either in the same row or in the same column as 10.
4.
Neither 2 nor 3 is placed in the same row or in the same column as 10.
5. Neither 7
nor 8 is placed in the same row or in the same column as 9.
6. 4 and 6 are placed in
the same row.
Which of the following statements MUST be true?
I. 2 is placed in a slot
in Column 2.
II. 3 is placed in a slot in Column 3.
a.
Both I and II
b.
Neither I nor II
c.
Only II
d.
Only I
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Q13
nat
Set:
The numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 are placed in ten slots of the
following grid based on the conditions below.
1. Numbers in any row appear in an increasing order from left
to right.
2. Numbers in any column appear in a decreasing order from top to
bottom.
3. 1 is placed either in the same row or in the same column as 10.
4.
Neither 2 nor 3 is placed in the same row or in the same column as 10.
5. Neither 7
nor 8 is placed in the same row or in the same column as 9.
6. 4 and 6 are placed in
the same row.
For how many slots in the grid, placement of numbers CANNOT be determined with certainty?
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Q14
nat
Set:
The numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 are placed in ten slots of the
following grid based on the conditions below.
1. Numbers in any row appear in an increasing order from left
to right.
2. Numbers in any column appear in a decreasing order from top to
bottom.
3. 1 is placed either in the same row or in the same column as 10.
4.
Neither 2 nor 3 is placed in the same row or in the same column as 10.
5. Neither 7
nor 8 is placed in the same row or in the same column as 9.
6. 4 and 6 are placed in
the same row.
What is the sum of the numbers placed in Column 4?
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Q15
nat
Set:
An online e-commerce firm receives daily integer product ratings from 1 through
5 given by buyers. The daily average is the average of the ratings given on that day. The
cumulative average is the average of all ratings given on or before that day.
The
rating system began on Day 1, and the cumulative averages were 3 and 3.1 at the end of Day 1
and Day 2, respectively. The distribution of ratings on Day 2 is given in the figure
below.
The following information is known about ratings on Day
3.
1. 100 buyers gave product ratings on Day 3.
2. The modes of the product
ratings were 4 and 5.
3. The numbers of buyers giving each product rating are non-zero
multiples of 10.
4. The same number of buyers gave product ratings of 1 and 2, and that
number is half the number of buyers who gave a rating of 3.
How many buyers gave ratings on Day 1?
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Q16
mcq
Set:
An online e-commerce firm receives daily integer product ratings from 1 through
5 given by buyers. The daily average is the average of the ratings given on that day. The
cumulative average is the average of all ratings given on or before that day.
The
rating system began on Day 1, and the cumulative averages were 3 and 3.1 at the end of Day 1
and Day 2, respectively. The distribution of ratings on Day 2 is given in the figure
below.
The following information is known about ratings on Day
3.
1. 100 buyers gave product ratings on Day 3.
2. The modes of the product
ratings were 4 and 5.
3. The numbers of buyers giving each product rating are non-zero
multiples of 10.
4. The same number of buyers gave product ratings of 1 and 2, and that
number is half the number of buyers who gave a rating of 3.
What is the daily average rating of Day 3?
a.
3.5
b.
3.2
c.
3.0
d.
3.6
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Q17
nat
Set:
An online e-commerce firm receives daily integer product ratings from 1 through
5 given by buyers. The daily average is the average of the ratings given on that day. The
cumulative average is the average of all ratings given on or before that day.
The
rating system began on Day 1, and the cumulative averages were 3 and 3.1 at the end of Day 1
and Day 2, respectively. The distribution of ratings on Day 2 is given in the figure
below.
The following information is known about ratings on Day
3.
1. 100 buyers gave product ratings on Day 3.
2. The modes of the product
ratings were 4 and 5.
3. The numbers of buyers giving each product rating are non-zero
multiples of 10.
4. The same number of buyers gave product ratings of 1 and 2, and that
number is half the number of buyers who gave a rating of 3.
What is the median of all ratings given on Day 3?
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Q18
mcq
Set:
An online e-commerce firm receives daily integer product ratings from 1 through
5 given by buyers. The daily average is the average of the ratings given on that day. The
cumulative average is the average of all ratings given on or before that day.
The
rating system began on Day 1, and the cumulative averages were 3 and 3.1 at the end of Day 1
and Day 2, respectively. The distribution of ratings on Day 2 is given in the figure
below.
The following information is known about ratings on Day
3.
1. 100 buyers gave product ratings on Day 3.
2. The modes of the product
ratings were 4 and 5.
3. The numbers of buyers giving each product rating are non-zero
multiples of 10.
4. The same number of buyers gave product ratings of 1 and 2, and that
number is half the number of buyers who gave a rating of 3.
Which of the following is true about the cumulative average ratings of Day 2 and Day 3?
a.
The cumulative average of Day 3 increased by less than 5% from Day 2.
b.
The cumulative average of Day 3 increased by more than 8% from Day 2.
c.
The cumulative average of Day 3 increased by a percentage between 5% and 8%
from Day 2.
d.
The cumulative average of Day 3 decreased from Day 2.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Q19
mcq
Set:
The two plots below give the following information about six firms A, B, C, D,
E, and F for 2019 and 2023.
PAT: The firm's profits after taxes in Rs.
crores,
ES: The firm's employee strength, that is the number of employees in the
firm, and
PRD: The percentage of the firm's PAT that they spend on Research and
Development (R&D).
In the plots, the horizontal and vertical coordinates of point
representing each firm gives their ES and PAT values respectively. The PRD values of each
firm are proportional to the areas around the points representing each firm. The areas are
comparable between the two plots, i.e., equal areas in the two plots represent the same PRD
values for the two years.
Assume that the annual rate of growth in PAT over the previous year (ARG) remained
constant over the years for each of the six firms. Which among the firms A, B, C, and E
had the highest ARG?
a.
Firm C
b.
Firm B
c.
Firm A
d.
Firm E
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Q20
mcq
Set:
The two plots below give the following information about six firms A, B, C, D,
E, and F for 2019 and 2023.
PAT: The firm's profits after taxes in Rs.
crores,
ES: The firm's employee strength, that is the number of employees in the
firm, and
PRD: The percentage of the firm's PAT that they spend on Research and
Development (R&D).
In the plots, the horizontal and vertical coordinates of point
representing each firm gives their ES and PAT values respectively. The PRD values of each
firm are proportional to the areas around the points representing each firm. The areas are
comparable between the two plots, i.e., equal areas in the two plots represent the same PRD
values for the two years.
The ratio of the amount of money spent by Firm C on R&D in 2019 to that in 2023
is closest to
a.
5 : 9
b.
9 : 5
c.
9 : 4
d.
5 : 6
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Q21
mcq
Set:
The two plots below give the following information about six firms A, B, C, D,
E, and F for 2019 and 2023.
PAT: The firm's profits after taxes in Rs.
crores,
ES: The firm's employee strength, that is the number of employees in the
firm, and
PRD: The percentage of the firm's PAT that they spend on Research and
Development (R&D).
In the plots, the horizontal and vertical coordinates of point
representing each firm gives their ES and PAT values respectively. The PRD values of each
firm are proportional to the areas around the points representing each firm. The areas are
comparable between the two plots, i.e., equal areas in the two plots represent the same PRD
values for the two years.
Which among the firms A, C, E, and F had the maximum PAT per employee in 2023?
a.
Firm C
b.
Firm A
c.
Firm E
d.
Firm F
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Q22
mcq
Set:
The two plots below give the following information about six firms A, B, C, D,
E, and F for 2019 and 2023.
PAT: The firm's profits after taxes in Rs.
crores,
ES: The firm's employee strength, that is the number of employees in the
firm, and
PRD: The percentage of the firm's PAT that they spend on Research and
Development (R&D).
In the plots, the horizontal and vertical coordinates of point
representing each firm gives their ES and PAT values respectively. The PRD values of each
firm are proportional to the areas around the points representing each firm. The areas are
comparable between the two plots, i.e., equal areas in the two plots represent the same PRD
values for the two years.
Which among the firms C, D, E, and F had the least amount of R&D spending per employee in
2023?
a.
Firm D
b.
Firm E
c.
Firm C
d.
Firm F
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.