What is the Rank and Hobby of Sudip to?

Direction: Study the following information carefully and answer the questions given below.

Eight students Anmol, Barun, Bijoy, Bikrom, Bipin, Shujit, Sujoy and Sudipto appeared for an examination. They were ranked as per their performance in the examination. The highest scorer is ranked 1 and the lowest scorer is ranked 8. Each of these eight persons also had a hobby amongst Acting, Biking, Cricket, Cooking, Dance, Music, Travelling and Vlogging but not necessarily in the same order. No two students get the same rank.

Barun who scored second highest marks have Biking as a hobby. Only two persons scored lower than Sujoy.  As many persons scored lower than Anmol as many scored higher than Sujoy. The person who has Travelling as his hobby scored lower than Sujoy. The person who likes Vlogging as a hobby scored lower than Rank 3 but is ranked at a number which is a prime number.  Shujit who likes Acting as a hobby has scored lower than Anmol. The person who likes Cooking is positioned at an even numbered rank which is neither a perfect cube nor a perfect square. Bikrom who likes Dance as a hobby scored lower than the person who likes Cricket. The person who liked Cricket has not scored the highest marks. Bijoy scored higher than the person Shujit but lower than Bikrom. Bipin scored neither highest marks nor  lower than Sujoy.

Question 1: What is the Rank and Hobby of Sudip to?

A. 2 - Biking

B. 3 - Vlogging

C. 1 - Biking

D. 2 – Music

E. 1 – Music 

Right Answer is: E

SOLUTION

Rank : 1 to 8

Person: Anmol, Barun, Bijoy, Bikrom, Bipin, Shujit, Sujoy and Sudipto

Hobbies: Acting, Biking, Cricket, Cooking, Dance, Music, Travelling and Vlogging

i) Barun who scored second highest marks have Biking as a hobby.

ii) Only two persons scored lower than Sujoy. 

iii) As many persons scored lower than Anmol as many scored higher than Sujoy.

Ranking

Person

Hobbies

1

 

 

2

Barun

Biking

3

Anmol

 

4

 

 

5

 

 

6

Sujoy

 

7

 

 

8

 

 

 

iv) The person who has Travelling as his hobby scored lower than Sujoy.

v) The person who likes Vlogging as a hobby scored lower than Rank 3 but is ranked at a number which is a prime number. 

Ranking

Person

Hobbies

Person

Hobbies

Person

Hobbies

 

Case 1

Case 2.1

Case 2.2         

1

 

 

 

 

 

 

2

Barun

Biking

Barun

Biking

Barun

Biking

3

Anmol

 

Anmol

 

Anmol

 

4

 

 

 

 

 

 

5

 

Vlogging

 

Vlogging

 

 

6

Sujoy

 

Sujoy

 

Sujoy

 

7

 

Travelling

 

 

 

Vlogging

8

 

 

 

Travelling

 

Travelling

 

vi) The person who likes Cooking is positioned at an even numbered rank which is neither a perfect cube nor a perfect square.

Ranking

Person

Hobbies

Person

Hobbies

Person

Hobbies

 

Case 1

Case 2.1

Case 2.2         

1

 

 

 

 

 

 

2

Barun

Biking

Barun

Biking

Barun

Biking

3

Anmol

 

Anmol

 

Anmol

 

4

 

 

 

 

 

 

5

 

Vlogging

 

Vlogging

 

 

6

Sujoy

Cooking

Sujoy

Cooking

Sujoy

Cooking

7

 

Travelling

 

 

 

Vlogging

8

 

 

 

Travelling

 

Travelling

 

vii) Shujit who likes Acting as a hobby has scored lower than Anmol.

viii) Bikrom who likes Dance as a hobby scored lower than the person who likes Cricket.

ix) The person who liked Cricket has not scored the highest marks.

x) Bijoy scored higher than the person Shujit but lower than Bikrom.

Highest > (Cricket) >Bikrom (Dance) > Bijoy > Shujit(Acting)…….(a)

xi)  Bipin scored neither highest marks nor lower than Sujoy.

The above condition eliminates Case 2.1 and arrangement given in (a) eliminates Case 2.2.

Ranking

Person

Hobbies

 

Case 1

1

 

 

2

Barun

Biking

3

Anmol

Cricket

4

Bikrom

Dance

5

Bipin

Vlogging

6

Sujoy

Cooking

7

Bijoy

Travelling

8

Shujit

Acting

 

Filling the gap the final arrangement will be as follows:

Ranking

Person

Hobbies

 

Case 1

1

Sudipto

Music

2

Barun

Biking

3

Anmol

Cricket

4

Bikrom

Dance

5

Bipin

Vlogging

6

Sujoy

Cooking

7

Bijoy

Travelling

8

Shujit

Acting

 

Hence, Sudipto secured first rank and his hobby is Music.