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Anbukarasi

· started a discussion

· 1 Months ago

how do you find the clue like pankaj and ujawala not be in 1st rank in english.

Question:

DIRECTIONS: These questions are based on the following information.


Six people – Madhu, Vanaja, Mohan, Usha, Pankaj and Ujjwala – attended a written test of three papers viz., Maths, Science and English conducted by a consultancy for “The Hindu” and “Hindustan Pvt Ltd”. The ranks are given according to their performance. (The best performance is tributed with the 1st rank and the worst performance with the last rank).


The persons who got any of the first three ranks either in Maths or Science are selected for “Hindustan Pvt Ltd” and those who got any of the first three ranks in English are selected for “The Hindu”.


1. The rank of a person in any two papers is not the same and no two persons got the same rank in any paper.

2. The best performer in any paper is not the worst performer in other paper and in any paper more than two persons didn’t perform better than Vanaja.

3. Mohan and Usha got the second and the fourth rank respectively in Science. Mohan got first rank in Maths and Madhu’s ranks in Maths and Science are same as that of Usha in Science and Maths respectively.

4. Pankaj and Ujjwala are the only persons who are not selected in the “Hindustan Pvt Ltd”.

Who got the fifth rank in English?


Options:
A) Madhu
B) Ujjwala
C) Vanaja
D) Mohan 
E) Usha
Solution:

Ans: (d) From (2), in any paper Vanaja got any of the first three ranks.

From (3) Madhu got 4th rank in maths

From (4) Madhu is selected for Hindustan Pvt Ltd

Thus in science he got either 1st or 3rd ranks but from (3) Mohan got 1st rank in Maths

Thus, Madhu got 3rd rank in science and from (3) Usha got 3 rank in maths.

Thus, from(2), Vanaja got 2nd, 1st and 3rd ranks in Maths, Science and English respectively.

From (4), Pankaj and Ujjwala got either 5th or 6th ranks in maths and science respectively.

Subject\(\rightarrow\)

Name\(\downarrow\)

Maths

Science

English

Vanaja

2

1

3

Mohan

1

2

PA

Madhu

4

3

PA

Usha

3

4

PA

Pankaj

5/6

6/5

PA

Ujjwala

6/5

5/6

PA

From (1) the rank of Pankaj and Ujwala in English cannot be either 1, 3, 5 or 6 thus it can be either 2  or 4

Similarly, in English Mohan got 5th rank because more than 2 persons didn't perform better than Vanaja. Madhu and Usha got either 1st or 6th ranks.


 Subject\(\rightarrow\)

Name\(\downarrow\)

Maths

Science

English

Vanaja

2

1

3

Mohan

1

2

5

Madhu

4

3

6/1

Usha

3

4

1/6

Pankaj

5/6

6/5

2/4

Ujjwala

6/5

5/6

4/2


Mohan got fifth rank in English.

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