1)

A, B, C, D and E are five towns out of which two aro hill stations and the rest are in plains. TWo towns, which are in plain, are harbours. Four towns out of five are capitals and two are industrial towns. The population of two towns is less than 5 lacs. It is 20 lacs of one town and more than 50 lacs of two towns.Two towns are on the same latitudes and other two are on the same longitudes. Latitudes and longitudes of both harbours are different and out of these one is an industrial town. The population of both industrial towns is more than 50 lacs.The longitudes of one hill station and one of the industrial towns are same. The latitudes and longitudes of the other hill station and other harbour are different. One industrial town is neither a hill station nor a harbour. None of the hill stations is an industrial town. The hill station, of which longitudes are sarne as that of a harbour, is a capital. B is a hill station while the longitudes of A and E are the same. E is a harbour. The latitudes of D and C are same and the population of D is 20 lacs. Both the harbours are capitals and one of them is an industrial town.

Which one of the following towns iI a hill s.tation as well as a capital?


A) B

B) C

C) E

D) D

E) A

Answer:

Option E

Explanation:

 We analyse the given information as follows:

Two are hill stations. Three are plains of which two are harbours. Four towns are capitals. Two towns are industrial. TWo towns have a population less than 5 lacs.One town has a population 20 lacs. Two towns have a population of more than 50 lacs. Two towns are on same latitudes.

B is a hill station. E is a harbour. Clearly, A which has the same longitude as E, cannot be a harbour and clearly, D having a population 20 lacs cannot be an industrial town. So, it is a harbour. Thus, E and D are harbours.

Clearly, one harbour is an industrial town but D is not. So, E is an industrial town with population more than 50 lacs. Clearly, the longitudes of a hill station and industrial town are same. So, A having same longitude as E, is hill station. Latitudes of D and C are same and D is a harbour. So, C cannot be a hill station. So, B is the other hill station. Thus, three plains are C, D, E. One industrial town is neither a hill station nor a harbour. So, C is an industrial town with a population more than 50 lacs. Clearly, both harbours are capitals. So, E and D are capitals.The hill station A, having same longitude as a harbour, is also a capital. The population of D is 20 lacs. So, population of A and B is less than 5 lacs. Clearly, only one hill station is capital. So, C is the other capital.

The capitals are A, C, D and E. The hill stations are A and B. So, A is a hill station as well as a capital.