RANK and COMPARISION
Directions for questions (1 - 2): -The following table
provides percentage marks in each subject obtained by
five students A, B, C, D, E in CBSE board exam in 2008.
The topper is the student who received maximum
marks in the three subjects combined.
Maths
Physics
Chemistry
A
75%
85%
90%
B
82%
91%
76%
C
85%
84%
80%
D
91%
88%
71%
E
73%
77%
81%
9. What is the maximum possible number of persons who can
have more money than R?
(1) 3 (2) 4
(3) 2
(4) 1
Directions for questions (10 - 12): -These questions are
based on the following information:
Five all rounders – Steve, Smith, Steyn, Sehwag and Sachin
were ranked in three categories – bowling, batting and
fielding. No player got the same rank in any two categories. No
two players got the same rank in any category. Further we
know the following information.
1. Who is the overall topper among the given students?
(1) A
(2) B
(3) D
(4) A and D
(5) Cannot be determined
2. The student, who got lowest marks in the exam among
these five students, is
(1) A
(2) B
(3) C
(4) D
(5) Cannot be determined
Directions for questions (3 - 4): -student A is said to be
have a higher rank (higher rank means numerically
lower number) than student B, if A gets more
percentage marks in at least two subjects than B.
3. Who would be at no 1 position among these five
students?
(1) A
(2) B
(3) C
(4) D
(5) Cannot be determined
4. How many candidates are there who got a lower rank
than C?
(1) 2
(2) 3
(3) 1
(4) 5
(5) 4
5. The top speed of five cars A,B,C,D and E are compared. Each
car has different top speed, C’s top speed is more than that of
at least two other cars and D’s top speed is less than that of at
least three other cars. None among C, D and E has either the
highest or the least top speed. E’s top speed is not more than
C;s. If A’s top speed is more than B’s, then which car has the
third
highest
top
speed
among
them?
(1) C
(2) E
(3) D
(4)A
6. Five persons Manish, Harish, Ramesh, Naresh and Suresh,
who are of different heights are comparing their heights.
Manish is taller than only one person. The number of persons
taller than Suresh is equal to the number of persons shorter
than Naresh. Heights of exactly two persons lie between the
heights of Harish and Suresh. Who is the shortest person?
(1) Naresh (2) Suresh (3) Ramesh (4) Manish
Directions for questions (7 - 9): -These questions are
based on the following information:
Five persons – P,Q,R,S and T have collected some money.
After counting all the money it is found that Q has more
money than S, who has more money than R but less than T,
who has more money than P but less than Q.
7. Who has the highest amount of money?
(1) T
(2) Q
(3) R
8. Who among the following can have the least amount of
money?
(1) Q
(2) S
(3) P (4) None of these
(4) S
(i) The player who got the first rank in batting got the third in
bowling.
(ii) Smith is ranked higher than Steve, but lower than Steyn in
batting.
(iii) Sehwag did not get third rank in any category.
(iv) NeitherSachin nor Smith got the fifth rank in any
category.
(v) The person who got the third rank in fielding got the fifth
rank in bowling.
(vi) Smith is ranked above Steve and Sachin but lower than
Steyn in bowling.
(vii) Neither Sehwag nor Steve got the first rank in any
category.
(viii) Steve was ranked lower than Smith but higher than
Steyn in fielding.
10. Who is ranked immediately above Sehwag in bowling?
11. Who is ranked number one in fielding?
12. Who got two even numbered ranks?
Directions for questions (13 -15): -These questions are
based on the following information:
The age and experience of five persons – Rancho, Raju,
Farhan, Chatur and Veeru – working for an organization are
compared. The following information is known:
(i) The second oldest person has the least experience and the
eldest person is the senior most.
(ii) No two persons are of the same age or have the same
experience.
(iii) The age of Rancho is more than that of Veeru’s and the
experience of Farhan is more than that of Chatur’s.
(iv) The age of each person is more than his experience.
(v) The age and experience of Chatur is more than the age
and experience of Veeru.
(vi) The age of Raju is less than the experience of Veeru.
13. Who is older than exactly two other persons?
14. Who is most experienced?
15. Who is the youngest?
Directions for questions (16 - 19): -Answer the
questions on the basis of the information given below.
A PRO CAT was taken by ten students viz. A, B, C...... and
J. The following table shows how the students were
ranked from 1 to 10 on the basis of their marks, for
each of the three sections of the test paper Quant.
English Usage and Data Interpretation. However, the
rank based on total marks is left unreported. (Rank 1
means more marks)
Rank
1
2
3
4
5
6
7
8
9
10
Quant
J
A
C
B
H
G
D
F
I
E
English
C
J
B
A
H
E
D
I
G
F
DI
A
B
C
J
H
D
G
I
E
F
Total
?
?
?
?
?
?
?
?
?
?
Total marks for any student in the PRO CAT refer to the
sum total of marks obtained in Quant, English Usage
and Data Interpretation by him. Each of the sections
had same weightage in terms of marks.
The difference in marks obtained by any two
consecutively ranked students, in any of the sections, is
at least 2 marks and at most 5 marks.
16. For how many students is it possible to determine
their exact rank on the basis of total marks?
(1) 1
(2) 2
(3) 3
(4) 4
(5) None
Table - I
Age (in years
not more than)
60
55
50
45
40
35
30
25
20
Number of
employees
200
186
152
131
107
79
41
8
2
17. If the difference in marks obtained by F and C in
Quant is 10 marks, what is the difference in marks
obtained by G and H in Quant?
(1) 2
(2) 3
(3) 4
(4) 5
(5)Cannot be determined
18. If the marks obtained by B in Quant, English Usage
and Data Interpretation are 15, 25 and 20 respectively,
what is the difference between the minimum and
maximum total marks that A can obtain?
(1) 12
(2) 9
(3) 6
(4) 11
(5) Cannot be determined
19. Which student is ranked 7th based on the total
marks?
(1) H
(2) G
(3) D
(4) E
(5) Cannot be determined
Directions for questions (20 - 22): -The following table
gives the details of the age, experience and salaries of all
the 200 employees in an organization. Assume an older
person always has more experience and a higher salary
than his younger colleague.
Table - II
Experience
(in years
Number of
not less
employees
than)
5
187
10
151
15
113
20
86
25
52
30
18
35
7
40
1
45
0
For example, the third row of Table-I denotes that 152
people have an age not more than 50 years while the
third row of table-II denotes that 113 people have an
experience of not less than 15 years.
20. The number of people who have an experience of 15
years or more and have a salary of at most Rs. 12000 is
(1) 113
(2) 121
(3) 8
(4) 34
21. The number of employees who have an age of at
most 30 years and a work experience of at least 5 years
but a salary of at most Rs. 10000 is
(1)13
(2) 93
(3) 28
(4) 41
22. How many employees, either have an age of more
than 45 years and an experience of less than 25 years or
have a salary of more than Rs. 8000 and an experience
of less than 15 years?
(1) 50
(2) 51
(3) 52
(4) 53
Directions for questions (23 - 25): -Answer the
questions on the basis of the information given below.
A
B
C
D
E
F
G
H
I
J
K
L
Table - III
Salary (in Rs.)
Not more than
20000
18000
16000
14000
12000
10000
8000
6000
4000
Intelligenc
e index
4
5
1
2
8
9
7
6
12
11
10
3
Wealth
Index
7
6
4
10
11
8
5
12
1
2
9
3
Number of
employees
198
184
163
148
121
93
52
21
5
Happiness
Index
1
3
2
5
7
6
9
11
10
4
12
8
Status
Index
2
12
3
1
9
11
10
8
6
5
7
4
The table above shows the ranks of 12 persons—from
A through L—in four different indices as indicated.
A consolidated rank, ranging from 1 to 12, was
obtained for each of the persons. This was done such
that, among any two persons, a person would have a
numerically lower (i.e., a better) consolidated rank
than the other, if his rank is numerically lower than
that of the other in at least three of the four indices, At
this stage, among any two persons, if one persons has a
numerically lower rank than the other in exactly two of
the indices, then the two persons are’ said to be tied. In
case of a tie between two persons, the sum of the
numerical values of their ranks is considered and the
person for whom the, numerical value of this sum is
lower is ranked numerically lower, when compared to
the, other person. If even at this stage, the sums so
obtained are equal, then the person with a numerically
lower Happiness Index is finally ranked numerically
lower, when compared to the other person.
23. The consolidated rank of which person was 1?
(1) A
(2) C
(3) D
(4) B
(5) None of these
24. G had a consolidated rank of :
(1) 8
(2) 4
(3) 6
(5) None of these
(4) 10
25. H has a consolidated rank which is numerically
higher than that of
(1) 11
(2) 10
(3) 1
(4) 2
(5) None of these
Directions for questions (26 - 29): -These questions are
based on the following information:
An old woman had the following assets:
(a) Rs. 70 lakh in bank deposits
(b) 1 house worth Rs. 50 lakh
(c) 3 flats, each worth Rs. 30 lakh
(d) Certain number of gold coins , each worth Rs. 1 lakh
She wanted to distribute her assets among her three
children; Neeta, Seeta and Geeta. The house, any of the flats
or any of the coins were not to be split. That is, the house
went entirely to one child; a flat went to one child and
similarly, a gold coin went to one child.
Among the three, Neeta received the least amount in bank
deposits, while Geeta received the highest. The value of the
assets was distributed equally among the children, as were
the gold coins.
26. How much did Seeta receive in bank deposits (in lakhs of
rupees)?
(1)30
(2)40
(3)20
(4)10
27. How many flats did Neeta receive?
28. How many gold coins did the old woman have?
(1)72
(2)90
(3)180
(4)216
29. How much did Seeta get in bank deposits (in lakhs of
rupees)?
Directions for questions (30 - 33): -These questions are
based on the following information:
A tea taster was assigned to rate teas from six different
locations - Munnar, Wayanad, Ooty, Darjeeling, Assam and
Himachal. These teas were placed in six cups, numbered 1 to
6, not necessarily in the same order. The tea taster was
asked to rate these teas on the strength of their flavour on a
scale of 1 to 10. He gave a unique integer rating to each tea.
Some other information is given below:
1. Cup 6 contained tea from Himachal.
2. Tea from Ooty got the highest rating, but it was not in Cup
6. Tea in Cup 3 got a higher rating than that in Cup 1.
7. The rating of tea from Wayanad was more than the rating
of tea from Munnar, but less than that from Assam.
30. What was the second highest rating given?
31. What was the number of the cup that contained tea from
Ooty?
32. If the tea from Munnar did not get the minimum rating,
what was the rating of the tea from Wayanad?
(1)3
(2)5
(3)1
(4)6
33. If the cup containg teas from Wayanad and Ooty had
consecutive numbers, which of the following may be true ?
(1)Cup 5 contains tea from Assam
(2)Cup 1 contains tea from Darjeeling
(3)Tea from Wayanad has got a rating of 6
(4)Tea from Darjeeling got the minimum rating
Directions for questions (34 - 37): -These questions are
based on the following information:
Ten players, as listed in the table below, participated in a
rifle shooting competition comprising of 10 rounds. Each
round had 6 participants. Players numbered 1 through 6
participated in Round 1, players 2 through 7 in Round 2,...,
players 5 through 10 in Round 5, players 6 through 10 and 1
in Round 6, players 7 through 10, 1 and 2 in Round 7 and so
on.
The top three performances in each round were awarded 7, 3
and 1 points respectively. There were no ties in any of the 10
rounds. The table below gives the total number of points
obtained by the 10 players after Round 6 and Round 10.
The following information is known about Rounds 1 through
6:
1. Gordon did not score consecutively in any two rounds.
2. Eric and Fatima both scored in a round.
The following information is known about Rounds 7 through
10:
1. Only two players scored in three consecutive rounds. One
of them was Chen. No other player scored in any two
consecutive rounds.
2. Joshin scored in Round 7, while Amita scored in Round 10.
3. No player scored in all the four rounds.
34. What were the scores of Chen, David, and Eric
respectively after Round 3?
(1)3, 0, 3
(2)3, 3, 0
(3)3, 3, 3
(4)3, 6, 3
3.
3. The rating of tea in Cup 3 was double the rating of the tea
in Cup 5.
4. Only two cups got ratings in even numbers.
5. Cup 2 got the minimum rating and this rating was an even
number.
35. Which three players were in the last three positions after
Round 4?
(1) Hansa, Ikea, Joshin
(2) Bala, Chen, Gordon
(3) Bala, Ikea, Joshin
(4) Bala, Hansa, Ikea
36. Which player scored points in maximum number of
rounds?
(1) Joshin
(2) Chen
(3) Ikea
(4) Amita
37. Which players scored points in the last round?
(1) Amita, Bala, Chen
(2) Amita, Chen, David
(3) Amita, Eric, Joshin
(4) Amita, Chen, Eric
Directions for questions (38 - 41): -These questions are
based on the following information:
Twenty four people are part of three committees which are
to look at research, teaching, and administration
respectively. No two committees have any member in
common. No two committees are of the same size. Each
committee has three types of people: bureaucrats,
educationalists, and politicians, with at least one from each
of the three types in each committee. The following facts are
also known about the committees:
1. The numbers of bureaucrats in the research and teaching
committees are equal, while the number of bureaucrats in
the research committee is 75% of the number of bureaucrats
in the administration committee.
2. The number of educationalists in the teaching committee
is less than the number of educationalists in the research
committee. The number of educationalists in the research
committee is the average of the numbers of educationalists
in the other two committees.
3. 60% of the politicians are in the administration committee,
and 20% are in the teaching committee.
38. Based on the given information, which of the following
statements MUST be FALSE?
(1) In the administration committee the number of
bureaucrats is equal to the number of educationalists
(2) The size of the research committee is less than the size of
the teaching committee
(3)The size of the research committee is less than the size of
the administration committee
(4) In the teaching committee the number of educationalists
is equal to the number of politicians
39. What is the number of bureaucrats in the administration
committee?
40. What is the number of educationalists in the research
committee?
41. Which of the following CANNOT be determined uniquely
based on the given information?
(1) The total number of educationalists in the three
committees
(2) The total number of bureaucrats in the three committees
(3)The size of the teaching committee
(4) The size of the research committee
Directions for questions (42- 45): -These questions are
based on the following information:
A company administers a written test comprising of three
sections of 20 marks each – Data Interpretation (DI), Written
English (WE) and General Awareness (GA), for recruitment.
A composite score for a candidate (out of 80) is calculated by
doubling her marks in DI and adding it to the sum of her
marks in the other two sections. Candidates who score less
than 70% marks in two or more sections are disqualified.
From among the rest, the four with the highest composite
scores are recruited. If four or less candidates qualify, all who
qualify are recruited.
Ten candidates appeared for the written test. Their marks in
the test are given in the table:
Candidate
Ajay
Bala
Chetna
Danish
Ester
Falak
Geeta
Harini
Indu
Jatin
DI
8
19
8
12
15
14
5
Mark out of 20
WE
9
4
15
18
7
8
16
GA
16
11
12
16
10
6
14
Some marks in the table are missing, but the following facts
are known:
1. No two candidates had the same composite score.
2. Ajay was the unique highest scorer in WE.
3. Among the four recruited, Geeta had the lowest composite
score.
4. Indu was recruited.
5. Danish, Harini, and Indu had scored the same marks the in
GA.
6. Indu and Jatin both scored 100% in exactly one section
and Jatin’s composite score was 10 more than Indu’s.
42. Which of the following statements MUST be true?
1.Jatin's composite score was more than that of Danish.
2.Indu scored less than Chetna in DI.
3.Jatin scored more than Indu in GA.
(1) Only 2
(2) Both 2 and 3
(3) Only 1
(4) Both 1 and 2
43. Which of the following statements MUST be FALSE?
(1) Bala scored same as Jatin in DI
(2) Bala’s composite score was less than that of Ester
(3) Chetna scored more than Bala in DI
(4) Harini’s composite score was less than that of Falak
44. If all the candidates except Ajay and Danish had different
marks in DI, and Bala's composite score was less than
Chetna's composite score, then what is the maximum marks
that Bala could have scored in DI?
45. If all the candidates scored different marks in WE then
what is the maximum marks that Harini could have scored in
WE?
TOPIC-8(Order And Ranking)