## Linear Arrangement

#### Linear Arrangement

Direction: Study the following information carefully and answer the questions given below:
(i) A, B, C, D, E, F, G and H are eight students, each having a different height.
(ii) D is shorter than A but taller than G
(iii) E is taller than H but shorter than C
(iv) B is shorter than D but taller than F
(v) C is shorter than G
(vi) G is not as tall as F

1. Which of the following is definitely false?

1. A > D > G
C > E > H
D > B > F
G > C
F > G
Combining these , we get A > D > B > F > G > C > E > H

##### Correct Option: E

A > D > G
C > E > H
D > B > F
G > C
F > G
Combining these , we get A > D > B > F > G > C > E > H

1. If another student J, who is taller than E but shorter than G, is added to the group, which of the following will be definitely true?

1. A > D > G
C > E > H
D > B > F
G > C
F > G
Combining these , we get A > D > B > F > G > C > E > H
is the correct answer; A > D > B > F > G > C, J > E > H

##### Correct Option: B

A > D > G
C > E > H
D > B > F
G > C
F > G
Combining these , we get A > D > B > F > G > C > E > H
is the correct answer; A > D > B > F > G > C, J > E > H

1. Which of the following will definitely be the third from top when the eight student are arranged in descending order of height?

1. A > D > G
C > E > H
D > B > F
G > C
F > G
Combining these , we get A > D > B > F > G > C > E > H

##### Correct Option: A

A > D > G
C > E > H
D > B > F
G > C
F > G
Combining these , we get A > D > B > F > G > C > E > H

1. How many of them are definitely shorter than F?

1. A > D > G
C > E > H
D > B > F
G > C
F > G
Combining these , we get A > D > B > F > G > C > E > H
is the correct answer; G, C, E and H

##### Correct Option: B

A > D > G
C > E > H
D > B > F
G > C
F > G
Combining these , we get A > D > B > F > G > C > E > H
is the correct answer; G, C, E and H

1. Which of the following is redundant to answer all the above questions?

1. A > D > G
C > E > H
D > B > F
G > C
F > G
Combining these , we get A > D > B > F > G > C > E > H