Answer the following question based on the information given below.Eig...
In questions with so much data, you can focus on one parameter at a time rather than find all the data together.
First identify the country that each representative comes from.
A is from India, B is from West Indies, G is from New Zealand and H is from South Africa.
Now, the people left are C, D, E and F while the countries left are Australia, Pakistan, Sri Lanka and England.
Since C is not from Pakistan, Sri Lanka or England, C is from Australia.
Since D is not England or Sri Lanka, D is from Pakistan.
Since F is not from Sri Lanka, E is from Sri Lanka and F is from England.
Thus, the country of each representative is:
A - India, B - West Indies, C - Australia, D - Pakistan, E - Sri Lanka, F - England, G - New Zealand, H - South Africa
Now, identify each country’s rank.
South Africa = 1
India + Australia = Sri Lanka
India + New Zealand = West Indies
Pakistan + New Zealand = West Indies + Sri Lanka Sri Lanka = 2 x England
India, New Zealand, West Indies, England = 2, 3, 5, 7 (in no specific order).
Australia = perfect square
Thus Australia’s rank can be 1 or 4. Since South Africa is ranked 1, Australia is ranked 4.
Since the available ranks are from 1 to 8, England has to be ranked 2 or 3 (to satisfy Sri Lanka = 2 x England).
If England is ranked 2, Sri Lanka is ranked 4 (which is not possible as Australia is ranked 4).
Hence, England is ranked 3 and Sri Lanka is ranked 6.
India + 4 = 6
India = 2
Now, since India + New Zealand = West Indies and all three countries have prime-numbered ranks, the equation is only satisfied for 2 + 5 = 7
Hence, New Zealand = 5 and West Indies = 7 Hence, Pakistan can take the only available rank i.e. 8 Thus, the ranks are:
South Africa - 1, India - 2, England - 3, Australia - 4, New Zealand - 5, Sri Lanka - 6, West Indies - 7, Pakistan - 8
Now, consider the number of centuries.
India = 100 and New Zealand = 32 (which is the least value)
Since the Australian’s number of centuries is a perfect square as well as a perfect cube, the Australian has scored 1 or 64 centuries.
Since 32 is the least number of centuries, the Australian has scored 64 centuries.
The number of centuries scored by the Pakistani, Englishman, South African, Sri Lankan, and Australian are consecutive numbers in decreasing order i.e. 68, 67, 66, 65 and 64.
However, the number of centuries scored by the West Indian cannot be found.
Thus, the number of centuries is:
India - 100, Pakistan - 68, England - 67, South Africa - 66, Sri Lanka - 65, Australia - 64, New Zealand - 32, West Indies - ?
Finally, consider the room numbers.
The rooms are arranged as:
401 402 403 404 408 407 406 405
This is to ensure that 403 and 406 are opposite each other and consecutively numbered rooms are adjacent to each other.
South Africa = 407
The Indian and Pakistani are in room numbers 401 and 408 (in no specific order), but the Indian is not next to the South African.
Hence, the Indian and Pakistani are in rooms 401 and 408 respectively.
The Australian is in the room opposite 404 i.e. he is in room 405.
Since the West Indian and New Zealander stay opposite each other, they are in rooms 403 and 406 (in no specific order).
Hence, the Sri Lankan and the Englishman are in rooms 402 and 404 (in no specific order).
Thus, the room numbers are:
401 - India, 402 - England/Sri Lanka, 403 - West Indies/New
Zealand, 404 - England/Sri Lanka, 405 - Australia, 406 - West Indies/New Zealand, 407 - South Africa, 408 - Pakistan
This provides all the required information.
Thus, the test ranks can be found for all eight countries.
Hence, option 4.