## 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. G is shorter than F
2. C is shorter than F
3. F is taller than c
4. B is taller than E
5. All are 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

##### 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. C and J are of the same height
2. J is shorter than D
3. J is shorter than H
4. J is taller than A
5. None of these

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. B
2. F
3. G
4. B or G
5. Cannot be detemined

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. Three
2. Four
3. Five
5. None of these

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. (ii) only
2. (ii) and (iii) only
3. (iii) and (iv) only
4. (ii) and (v) only
5. All are necessary to answer 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

##### 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