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Previous Year Questions

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Question :

Directions : Nine persons - A, B, C, D, E, F, G, H and I visited different cities in different months of the same year, starting from January to September, but not necessarily in the same order. The cities are Beijing, Cairo, Chicago, London, Manila, Mumbai, Paris, Seoul and Tokyo.

The total number of persons visited before A and after H is an odd number and an even number respectively. Three persons visited between H and C, who visited London. People, who visited London and Beijing, visited before A. D visited Chicago, but neither in the month of 30 days nor in the month of that has an odd number of days. Atleast four persons visited between B and F, who visited before A and H. B visited before H and after D. The person who visited Cairo visited immediately before the person who visited Manila. Neither A nor B visited Cairo and Manila. I visited Seoul, but after G. The person who visited Tokyo visited after G. Paris was visited after A, who visited before August.

Who among the following visited Beijing?

1. The person who visited in January

2. The person who visited immediate before the person who visited Tokyo

3. The person who visited immediate after B

4. The person who visited between A and I

5. Both (b) and (d)

Correct Answer : 1
Solution :

Nine persons - A, B, C, D, E, F, G, H and I visited different cities in different months of the same year, starting from January to September, but not necessarily in the same order.

The cities are Beijing, Cairo, Chicago, London, Manila, Mumbai, Paris, Seoul and Tokyo.

D visited Chicago, but neither in the month of 30 days nor in the month of that has an odd number of days.

A month has 30 days or 31 days. If it is February, then 28 days or 29 days.

So, D visited in February that has 28 days.

MonthsPersons Cities
January
FebruaryDChicago
March
April
May
June
July
August
September

The total number of persons visited after H is an even number.

Three persons visited between H and C, who visited London.

Person who visited London visited before A. Thus, C is not the last person to visit any city.

Case 1 Case 2 Case 3 Case 4
JanuaryCLondonH
FebruaryDChicagoDChicagoDChicagoDChicago
MarchCLondonH
April
MayHCLondon
June
JulyHCLondon
August
September

B visited before H and after D. Thus, case 4 is invalid.

Atleast four persons visited between B and F, who visited before A and H. Thus, case 2 and case 3 are invalid.

The total number of persons visited before A is an odd number. A did not visit in August.

Case 1
JanuaryF
FebruaryDChicago
MarchCLondon
AprilA
May
JuneB
JulyH
August
September

The person who visited Cairo visited immediately before the person who visited Manila.

Neither A nor B visited Cairo and Manila.

Case 1 Case 1a
JanuaryFF
FebruaryDChicagoDChicago
MarchCLondonCLondon
AprilAA
May
JuneBB
JulyHCairoH
AugustManilaCairo
SeptemberManila

I visited Seoul, but after G. Thus, case 1a is invalid.

The person who visited Tokyo visited after G.

Case 1
JanuaryF
FebruaryDChicago
MarchCLondon
AprilA
MayG
JuneBTokyo
JulyHCairo
AugustManila
SeptemberISeoul

People, who visited London and Beijing, visited before A.

Case 1
JanuaryFBeijing
FebruaryDChicago
MarchCLondon
AprilA
MayG
JuneBTokyo
JulyHCairo
AugustManila
SeptemberISeoul

Paris was visited after A.

Therefore, the final arrangement is:

Months Persons Cities
JanuaryFBeijing
FebruaryDChicago
MarchCLondon
AprilAMumbai
MayGParis
JuneBTokyo
JulyHCairo
AugustEManila
SeptemberISeoul

F visited Beijing in January.

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