LRDI Test - 05
Q 1. On a planet called Paturn a day has only 6 hours. The number of minutes in each of the 6 hours are distinct integers from 1 to
6, in no particular order (e.g. the 2nd hour can have 4 minutes while the 6th hour can have just 1 minute). There is no other difference
in the time systems of Earth and Paturn. Some of the valid times shown by a watch on Paturn are:
00:00
01:04
02:03
03:01
04:02
05:03
What is the number of minutes in the 5th hour of the day?
a) 2
b) 3
c) 4
d) Cannot be determined
Directions for questions 2 and 3: Answer the questions on the basis of the information given below.
Some athletes participate in the Kommon Bealth Games 2010 in which there are only four events - 100 m, 200 m, 400 m and 800 m
race. The graph given below shows the number of men/women who participate in an event and the number of athletes who participate
only in that event.
Q 2. What can be the minimum number of men who participate in the Kommon Bealth Games 2010?
a) 70
b) 90
c) 80
d) None of these
Q 3. What can be the maximum number of women who participate in exactly three events of Kommon Bealth Games 2010?
a) 45
b) 47
c) 48
d) 40
Directions for questions 4 to 6: Answer the following questions on the basis of the information given below.
A retailer has some chocolates in five different boxes T1, T2, T3, T4 and T5. Table 1 provides the data about the number of chocolates
(N), the average weight per chocolate in grams (AWG) and the average selling price per chocolate in Rs (SPR) for each of the five
boxes. Table 2 shows the relationship between AWG and the customer satisfaction index (CSI).
Q 4. All the chocolates of box T2 are to be mixed with all the chocolates of exactly one of the other four boxes. Which box should be
chosen to maximise the CSI of the mixture?
a) T5
b) T3
c) T1
d) T2
Q 5. If the retailer wants to keep the CSI of the mixture at least 70 and the SPR between 13 and 15, which of the following
combinations should he make?
a) T1, T2 and T3
b) T2, T3 and T4
c) T3, T4 and T5
d) T1, T4 and T5
Q 6. If 4 chocolates of box T1 are mixed with 3 chocolates of box T2, then what is the CSI of the mixture?
a) 90
b) 80
c) 70
d) Cannot be determined
Directions for questions 7 to 9: Answer the following questions on the basis of the information given below.
A car starts moving along a straight line in the North direction at t = 0 seconds. The speed–time graph for the car is given below for
the first 15 seconds in which it covers a total distance of 320 metres. The bar chart given below shows the distance covered by the car
in the next 15 seconds. The speed–time curve for the car is a straight line in the time intervals 0–5 seconds, 5–10 seconds, 10–15
seconds, 15–20 seconds, 20–25 seconds and 25–30 seconds.
Q 7. What is the speed (in m/s) of the car at t = 15 seconds?
a) 12
b) 16
c) 20
d) 30
Directions for questions 7 to 9: Answer the following questions on the basis of the information given below.
A car starts moving along a straight line in the North direction at t = 0 seconds. The speed–time graph for the car is given below for
the first 15 seconds in which it covers a total distance of 320 metres. The bar chart given below shows the distance covered by the car
in the next 15 seconds. The speed–time curve for the car is a straight line in the time intervals 0–5 seconds, 5–10 seconds, 10–15
seconds, 15–20 seconds, 20–25 seconds and 25–30 seconds.
Q 8. What is the speed (in m/s) of the car at t = 30 seconds?
a) 16
b) 12
c) 8
d) 4
Q 9. What is the average speed (in m/s) of the car between t = 8 seconds and t = 24 seconds?
a) 20.7
b) 17.7
c) 31.2
d) 22.2
Directions for questions 10 to 12: Answer the following questions on the basis of the information given below.
The table given below shows the production figures (in thousand tonnes) of the various types of crops produced in a country called
Khetistan for three years. It also shows the percentage contribution of Charyana, one of the states of Khetistan, to the total production
of Khetistan for each year.
Q 10. In which year was the percentage contribution of Charyana to the total production of Khetistan (all the crops) maximum during
the period 1991-1993?
a) 1991
b) 1992
c) 1993
d) Cannot be determined
Directions for questions 10 to 12: Answer the following questions on the basis of the information given below.
The table given below shows the production figures (in thousand tonnes) of the various types of crops produced in a country called
Khetistan for three years. It also shows the percentage contribution of Charyana, one of the states of Khetistan, to the total production
of Khetistan for each year.
Q 11. Which crop showed a decline in production for two consecutive years in Charyana during the period 1991-1993?
a) Bajra
b) Maize
c) Rice
d) None of these
Q 12. Which crop showed a decline in production for at least one year in Charyana despite showing an increase in production for
two consecutive years in Khetistan during the period 1991-1993?
a) Wheat
b) Rice
c) Bajra
d) Maize
Directions for questions 13 to 16: Answer the following questions on the basis of the information given below.
The performance of six students of a class in five subjects is evaluated on a 9-point grading system. Each student is awarded a grade
and grade points in each of the five subjects based on the marks obtained by him in that subject (See Table - 1). Table - 2 shows the
marks obtained by each student in the five subjects. A student’s GPA (Grade Point Average) is the average of the grade points awarded
to him in the five subjects.
Additional Information:
• The sum of the GPAs of Saral and Puneet is equal to the sum of the GPAs of Himanshu and Sanjay.
• The GPAs of Abhishek and Vijay are equal.
• Saral, Himanshu, Puneet and Sanjay get distinct GPAs.
• Though the total marks (the sum of the marks obtained in the five subjects) of Himanshu are not the highest, his GPA is the highest
among the six students.
• The sum of the marks obtained by the six students in Science is more than the sum of the marks obtained by the six students in
exactly three of the other four subjects.
Q 13. Which grade is awarded to Saral in Science?
a) A1
b) A2
c) B1
d) B2
Directions for questions 13 to 16: Answer the following questions on the basis of the information given below.
The performance of six students of a class in five subjects is evaluated on a 9-point grading system. Each student is awarded a grade
a
Q 14. Who gets the second highest GPA among the six students?
a) Saral
b) Puneet
c) Vijay
d) Sanjay
Directions for questions 13 to 16: Answer the following questions on the basis of the information given below.
The performance of six students of a class in five subjects is evaluated on a 9-point grading system. Each student is awarded a grade
and grade points in each of the five subjects based on the marks obtained by him in that subject (See Table - 1). Table - 2 shows the
marks obtained by each student in the five subjects. A student’s GPA (Grade Point Average) is the average of the grade points awarded
to him in the five subjects.
Additional Information:
• The sum of the GPAs of Saral and Puneet is equal to the sum of the GPAs of Himanshu and Sanjay.
• The GPAs of Abhishek and Vijay are equal.
• Saral, Himanshu, Puneet and Sanjay get distinct GPAs.
• Though the total marks (the sum of the marks obtained in the five subjects) of Himanshu are not the highest, his GPA is the highest
among the six students.
• The sum of the marks obtained by the six students in Science is more than the sum of the marks obtained by the six students in
exactly three of the other four subjects.
Q 15. What is the sum of the marks obtained by Saral in the five subjects?
a) 422
b) 432
c) 426
d) Cannot be determined
Directions for questions 13 to 16: Answer the following questions on the basis of the information given below.
The performance of six students of a class in five subjects is evaluated on a 9-point grading system. Each student is awarded a grade
and grade points in each of the five subjects based on the marks obtained by him in that subject (See Table - 1). Table - 2 shows the
marks obtained by each student in the five subjects. A student’s GPA (Grade Point Average) is the average of the grade points awarded
to him in the five subjects.
Additional Information:
• The sum of the GPAs of Saral and Puneet is equal to the sum of the GPAs of Himanshu and Sanjay.
• The GPAs of Abhishek and Vijay are equal.
• Saral, Himanshu, Puneet and Sanjay get distinct GPAs.
• Though the total marks (the sum of the marks obtained in the five subjects) of Himanshu are not the highest, his GPA is the highest
among the six students.
• The sum of the marks obtained by the six students in Science is more than the sum of the marks obtained by the six students in
exactly three of the other four subjects.
Q 16. How many values are possible for X?
a) 1
b) 10
c) 8
d) None of these
Q 17. Five articles A1, A2, A3, A4 and A5 are to be distributed among five people P1, P2, P3, P4 and P5 such that each person
receives exactly one article. Further information is given below:
• P1 cannot receive A1, A2 or A3.
• P2 can only receive A2 or A3.
• A4 can only be received by P3 or P4.
• A1 can only be received by P4 or P5.
In how many of the following cases can the distribution of articles be uniquely determined?
Case I. P3 receives A3.
Case II. P4 receives A4.
Case III. P5 receives A2.
a) 0
b) 1
c) 2
d) 3
Q 18. The question given below is followed by two statements, A and B. Mark the answer using the following instructions:
Mark (a) if the question can be answered by using one of the statements alone, but cannot be answered by using the other statement
alone.
Mark (b) if the question can be answered by using either statement alone.
Mark (c) if the question cannot be answered even by using both the statements together.
Mark (d) if the question can be answered by using both the statements together, but cannot be answered by using either statement
alone.
Q. Eight friends A, B, C, D, E, F, G and H sit at a circular table following the conditions given below.
• F sits between B and H.
• C sits opposite either B or F.
• D sits opposite either F or H.
• E sits opposite one of A, F or G.
Which two people sit beside A?
A. G sits opposite B.
B. E sits beside B.
a)
b)
c)
d)
Q 19. Five seats, numbered 1 to 5, lie in a row in the same order. They are occupied by five people Xavi, Iniesta, Villa, Torres and
Casillas in the order of increasing seat numbers. Each person changes his seat after some time and writes down the value of the
absolute difference between the numbers of the two seats occupied by him. If the sum of these five values is found to be the
minimum possible, then which of the following statements regarding their new seating arrangement is definitely not true?
a) Iniesta sits beside Casillas.
b) Exactly two people sit between Villa and Torres.
c) Xavi sits beside Torres.
d) Exactly two people sit betweem Xavi and Iniesta.
Q 20. The question given below is followed by two statements, A and B. Mark the answer using the following instructions:
Mark (a) if the question can be answered by using either statement alone.
Mark (b) if the question can be answered by using one of the statements alone, but cannot be answered by using the other statement
alone.
Mark (c) if the question cannot be answered even by using both the statements together.
Mark (d) if the question can be answered by using both the statements together, but cannot be answered by using either statement
alone.
Q. Six tennis players Abhas, Golu, Nagendra, Puneet, Saral and Vikas are ranked 1 to 6 in the same order. Each player plays exactly
one match against one of the other five players. Neither Saral nor Nagendra plays against Puneet. All the three matches are won by
the better ranked player. At least one among Abhas, Golu and Nagendra does not win his match. Who plays against whom?
A. Golu does not win his match. Saral does not play against Vikas.
B. Golu and Saral don't play against each other. Only one of them wins his match.
a)
b)
c)
d)
Directions for questions 21 to 24: Answer the following questions on the basis of the information given below.
Seven players A, B, C, D, E, F and G participate in a Chess tournament in which each player plays exactly once against each of the other
six players. The tournament starts on Monday, finishes on Wednesday and an equal number of matches is played on all the three days.
Some of the observations made on each day are given below:
Monday
• F loses to C, D, E and G.
• Only one player, who is not C, wins more than one match on Monday.
Tuesday
• B wins against C, D and E.
• E loses to A and C.
• G wins exactly two matches on Tuesday.
Wednesday
• G loses to B but wins against A and C.
• D wins against C and E.
• F loses to A and B.
NOTE: None of the matches ends in a draw and all the players win a distinct number of matches in the tournament.
Q 21. Who wins the highest number of matches in the tournament?
a) C
b) A
c) D
d) B
Directions for questions 21 to 24: Answer the following questions on the basis of the information given below.
Seven players A, B, C, D, E, F and G participate in a Chess tournament in which each player plays exactly once against each of the other
six players. The tournament starts on Monday, finishes on Wednesday and an equal number of matches is played on all the three days.
Some of the observations made on each day are given below:
Monday
• F loses to C, D, E and G.
• Only one player, who is not C, wins more than one match on Monday.
Tuesday
• B wins against C, D and E.
• E loses to A and C.
• G wins exactly two matches on Tuesday.
Wednesday
• G loses to B but wins against A and C.
• D wins against C and E.
• F loses to A and B.
NOTE: None of the matches ends in a draw and all the players win a distinct number of matches in the tournament.
Q 22. Who wins more than one match on Monday?
a) D
b) B
c) A
d) Cannot be determined
Q 23. Popat, an avid Chess buff, watched all the matches of the tournament except the ones that took place on Monday. How many
times did he see either B or D winning a match?
a) 10
b) 9
c) 8
d) 7
Q 24. On how many days during the tournament does at least one player win more than two matches?
a) 0
b) 1
c) 2
d) Cannot be determined
Directions for questions 25 to 27: Answer the following questions on the basis of the information given below.
Joker Smith assigns numbers 2, 3, 4, 5 and 6 to five boys A, B, C, D and E (not necessarily in the same order). B is assigned the
number 2. Then Smith calls 7 distinct numbers (Call-1 to Call-7) one at a time. The sum of these 7 numbers is 100 and each of them is
greater than 2. The sum of the numbers called in Call-1 and Call-2 is 30. He does not call the numbers 6 and 7. Exactly one of the
called numbers is less than 10. On each Call, only the boys whose assigned number is a factor of the called number raise their hands.
The table given below shows the process (‘Yes’ means that the boy raises his hand and ‘No’ means that he does not raise his hand).
Q 25. What is the number called in Call-3?
a) 25
b) 5
c) 35
d) None of these
Directions for questions 25 to 27: Answer the following questions on the basis of the information given below.
Joker Smith assigns numbers 2, 3, 4, 5 and 6 to five boys A, B, C, D and E (not necessarily in the same order). B is assigned the
number 2. Then Smith calls 7 distinct numbers (Call-1 to Call-7) one at a time. The sum of these 7 numbers is 100 and each of them is
greater than 2. The sum of the numbers called in Call-1 and Call-2 is 30. He does not call the numbers 6 and 7. Exactly one of the
called numbers is less than 10. On each Call, only the boys whose assigned number is a factor of the called number raise their hands.
The table given below shows the process (‘Yes’ means that the boy raises his hand and ‘No’ means that he does not raise his hand).
Q 26. What is the number called in Call-4?
a) 13
b) 11
c) 23
d) 17
Q 27. If Smith continues calling and calls the number 45 in Call-8, then who all would raise their hands?
a) Only A
b) A and D
c) B and D
d) Cannot be determined
Q 28. Seven people A, B, C, D, E, F and G form three teams. Each person is a member of exactly one of the three teams and there are
at least two members in each team.
Additional Information:
(1) No two people among E, F and G are in the same team.
(2) A and G are in the same team.
(3) B and C are in the same team.
How many people are there about whom it can be concluded that they are in a team having exactly 2 members?
a) 2
b) 3
c) 4
d) None of these
Q 29. The question given below is followed by two statements, A and B. Mark the answer using the following instructions:
Mark (a) if the question can be answered by using Statement A alone, but cannot be answered by using Statement B alone.
Mark (b) if the question can be answered by using Statement B alone, but cannot be answered by using Statement A alone.
Mark (c) if the question cannot be answered even by using both the statements together.
Mark (d) if the question can be answered by using either statement alone.
Q. Uncle Gomes distributes 40 candies among five children in such a way that each child gets at least one candy and no two children
get the same number of candies. What is the number of candies received by the child who gets the maximum number of candies
among the five children?
A. Each child gets more than 4 candies.
B. The sum of the number of candies received by the child who gets the maximum and the child who gets the minimum number of
candies among the five children is 29.
a)
b)
c)
d)
Q 30. Three people among A, B, C, D, E and F are to be selected to form a committee. Each selected person should share at least
one 'liking' with at least one of the other two selected people. Each selected person should also hate at least one 'liking' of at least
one of the other two people selected.
• A likes reading and travelling, and hates surfing and singing.
• B likes surfing and driving, and hates fishing.
• C likes dancing and travelling, and hates reading and fishing.
• D likes fishing and surfing, and hates driving.
• E likes singing and travelling, and hates dancing
• F likes reading and fishing, and hates surfing.
Which three can be selected together to form the committee?
a) A, D and F
b) A, C and E
c) B, D and F
d) Both (b) and (c)
Q 31. The question given below is followed by two statements, A and B. Mark the answer using the following instructions:
Mark (a) if the question can be answered by using one of the statements alone, but cannot be answered by using the other statement
alone.
Mark (b) if the question can be answered by using either statement alone.
Mark (c) if the question can be answered by using both the statements together, but cannot be answered by using either statement
alone.
Mark (d) if the question cannot be answered even by using both the statements together.
Q. Some students are standing in a row facing the West direction. Fourteen students are standing to the left of Mukesh and twenty
two students are standing to the right of Rakesh. How many students are there in all?
A. Exactly 5 students are standing between Mukesh and Rakesh.
B. The total number of students is a prime number less than 37.
a)
b)
c)
d)
Q 32. Seven friends Salim, Govind, Sajid, Hasan, Sunil, Sanjay and Reeta are to be divided into two teams such that the difference
between the number of people in the two teams is the least possible. Reeta and Sajid cannot be placed in the same team. Sunil can
be placed in the same team with neither Salim nor Sanjay. Hasan and Govind must be placed in the same team.
How many of the following statements cannot be true?
(1) Hasan and Sunil are placed in the same team.
(2) Reeta and Hasan are placed in the same team.
(3) Hasan and Salim are placed in the same team.
a) 0
b) 1
c) 2
d) 3
