CAT DILR Questions | CAT Analytical Reasoning questions
Comprehension
Directions for Questions : Study the information below and answer questions based on it.
In a locality, there are five small towns, A, B, C, D and E. The distances of these towns from each other are as follows:
AB = 2 km AC = 2km AD > 2km AE > 3km BC = 2km BD = 4 km BE = 3km CD = 2km CE= 3km DE > 3km
CAT/1996
Question . 304
If a ration shop is to be set up within 2 km of each city, how many ration shops will be required?
Explanatory Answer
Method of solving this CAT DILR Question from Analytical Reasoning question
(a) We do not know the exact distances in case of AD, AE and DE. Since these three cities form a triangle, AC + CD > AD hence, AD < 4. Now let us find about A-C-E. AC + CE > AE . Hence, AE < 5. Now considering C - D -E, we have CD + CE > DE. Hence, DE < 5. Thus, the minimum distance between any two cities is 2 km and the maximum distance does not exceed 5 kms. If we want a ration shop within 2km of each city, we will require one shop as long as the distance between any two cities does not exceed 4 km. The only cities which can be more than 4 km from each other are AE and DE. Since city E is common to both. Hence, one shop will be able to cater to these three. Hence, total number of shops required = 2.