Question
Download Solution PDFComprehension
Directions: Study the following information carefully and answer the questions followed by it.
Eight persons, A, B, C, D, E, F, G and H buy some stuff on different occasions.
Four persons buy between E and F. A buys on the fifth number. B buys just after D. Neither E nor F buys first or at the last. The number of persons who buy between A and D is equal to the number of persons who buy between A and F. G buys after H but not on the 6th number. C does not buy at the first number.
Had they bought in reverse alphabetical order, how many of them would have bought at the same rank?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Eight persons, A, B, C, D, E, F, G and H buy some stuff on different occasions.
1) A buys on the fifth number.
2) Four persons buy between E and F.
3) Neither E nor F buys first or at the last.
|
S.No. |
Case 1 |
Case 2 |
|
1 |
|
|
|
2 |
E |
F |
|
3 |
|
|
|
4 |
|
|
|
5 |
A |
A |
|
6 |
|
|
|
7 |
F |
E |
|
8 |
|
|
4) B buys just after D.
|
S.No. |
Case 1 |
Case 2 |
|
1 |
|
|
|
2 |
E |
F |
|
3 |
D |
D |
|
4 |
B |
B |
|
5 |
A |
A |
|
6 |
|
|
|
7 |
F |
E |
|
8 |
|
|
5) The number of persons who buy between A and D is equal to the number of persons who buy between A and F.
Here, case 2 will be cancelled.
|
S.No. |
Person |
|
1 |
|
|
2 |
E |
|
3 |
D |
|
4 |
B |
|
5 |
A |
|
6 |
|
|
7 |
F |
|
8 |
|
6) G buys after H but not on the 6th number.
7) C does not buy at the first number.
|
S.No. |
Person |
|
1 |
H |
|
2 |
E |
|
3 |
D |
|
4 |
B |
|
5 |
A |
|
6 |
C |
|
7 |
F |
|
8 |
G |
So, the above shown arrangement is the final order of persons buying stuff.
|
S.No. |
Person |
Reverse Alphabetical order |
|
1 |
H |
H |
|
2 |
E |
G |
|
3 |
D |
F |
|
4 |
B |
E |
|
5 |
A |
D |
|
6 |
C |
C |
|
7 |
F |
B |
|
8 |
G |
A |
Hence, had they bought their stuff in reverse alphabetical order, 2 of them would have bought at the same rank as they have bought in actual case.
Last updated on Jun 14, 2025
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