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Amru

· started a discussion

· 1 Months ago

How to assume C got fifth rank in age ? I am not understanding

Question:

DIRECTIONS : These questions are based on the following information.


Five persons — A, B, C, D and E were ranked in each of the categories age, weight and height, in descending order, such that the tallest, the heaviest and the eldest person got first rank in the respective category, and the shortest, the lightest and the youngest got the fifth rank in the respective category. No two persons are of same weight, height or age. No person got same rank in any Iwo categories; Further we know the following information.


i. Neither A nor E got the first rank in any category.

ii. E did not got the third rank in any category.

iii. The person who got the fifth rank in height got the third rank in age.

iv. A is older than C but younger than B.

v. Neither B nor D got the fifths rank in any category.

vi. The person who got the first rank in weight got the third rank in height.

vii. B is shorter than C but taller than A and D.

viii. B is lighter than C but heavier than A.

Who is the lightest person?
Options:
A) A
B) E
C) B
D) C
E) None of these
Solution:

Ans: (b) 

E is the second eldest person.

Let us represent the persons with the First letter of their names.

From (i), B, C and D got the first ranks.

From (v), A, C and E got the fifth ranks.

From (vii) and (viii), C did not get the fifth rank in height and weight.

∴C got the fifth rank in Age.

And also we get that B did not get the first rank in height and weight.

∴B got the first rank in Age.

From (vii), that D did not get the first rank in height.

∴D got the first rank in weight.

∴C got the first rank in height.

Now from (vi), as D got the first rank in weight, he got the third rank in height.

From (iv) and (ii) A got the fifth rank in hight and the third rank in age. E got the fifth rank in weight.

As D got the third rank in height, from (vii) we get that B got the second rank and E got the fourth rank in height.

From (viii), we get that C got the second rank, B got the third rank and A got the fourth rank in weight. Now E and D got the second and the fourth ranks in age respectively.


Rank

Height

Weight

Age

1

C

D

B

2

B

C

E

3

D

B

A

4

E

A

D

5

A

E

C

Knowledge Expert

· commented

· 1 Months ago

its not C or D anyone can be.....

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