CAT Model Paper 6 Questions and Answers with Explanation Part 10

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Questions 47 to 49: Answer these questions after going through the information given below:

There was a draught in the kingdom and the benevolent King wanted to distribute all the food grain between 100 pupils in his kingdom. He decided to use a unique formula to distribute the food grain:

He said that the first person should take one hundredth of the entire stock minus 99 kg. The second person should take one ninety-ninth part of the remaining stock minus 98 kg. Next person should take one ninety-eighth part of the remaining stock minus 97 kg. This way the last person would get the entire food grain remaining at that time.

Q: 47. What should be the minimum quantity of food grains in the store so that every person receives at least 1 kg of food grains?

(A)

(B)

(C)

(D)

Ans: B

Solution:

If the King had of food-grain in store, then the distribution will be as follows:

Person 1:

Person 2:

Person 3:

Person 50:

Person 51:

Person 52:

Person 100:

As clear from the formula, minimum food grain will be received by the first person. For him to receive at least one.

Option (B)

Q: 48. If the King had kg of food grains in the store, then after which person would the remaining food grain be less than half of the original stock?

(A)

(B)

(C)

(D)

Ans: C

Solution:

The correct choice is (C). If the King had ‘x’ of food-grain in store, then the distribution will be as follows:

Person 1:

Person 2:

Person 3:

Person 50:

Person 51:

Person 52:

Person 100:

Clearly as the food grain received by every person is more than the person before, the answer should lie in the second half. For fifty people total food grain received

For sixty people total food grain received

Sixty first person will receive:

Sixty second person will receive:

So, the value becomes less than after when food grain is given to the 62nd person.

Hence option C

Q: 49. Which person will get the maximum amount of food-grain?

(A)

(B) & person

(C) Person

(D) They all will get equal amounts

Ans: C

Solution:

If the King had of food-grain in store, then the distribution will be as follows:

Person 1:

Person 2:

Person 3:

Person 50:

Person 51:

Person 52:

Person 100:

Clearly from the formula, last person will always get the maximum amount of food grain.

Q: 50. From the sentences given below identify the sentence that uses the word HOME incorrectly.

(A) My brother works for an organisation that provides home care for the elderly.

(B) She is at home in film parties. She has been covering them for a decade.

(C) The Republicans won’t be home and dry until the last votes have been counted.

(D) I joined the computer course to home my skills.

Ans: D

Solution:

I joined the computer course to home my skills.

The correct usage is home my skills, that is, to develop.

‘She is at home’ means she is comfortable in film parties

‘Republicans won’t be home and dry’ means the republicans won’t be sure of success until...

Q: 51. Select the option that best summarizes the paragraph given below.

It is not easy to say with certainty whether old firms are really old, continuous businesses or, rather, latter-day firms that were once trade associations, state organisations or, say, religious communities that turned commercial at some stage in their lives. Is, for example, Château de Goulaine really a 1,000-year-old business or a fine old castle that has only fairly recently taken to selling wine and displaying butterflies? The Shore Porters’ Society, now a transport firm, whose lorries can be seen all over Europe, was founded in 1498, but for much of its history it was a semi-public body controlled by the town of Aberdeen, only gaining full independence in 1850. How long has it been a genuine business?

(A) The question about the age of the firm is not easy to resolve. Some such as Château de Goulaine were not even a business a thousand years ago

(B) The question about the age of the firm is not easy to resolve. Some companies were earlier trade associations, state organisations or religious communities

(C) Examples like Château de Goulaine and the Shore Porters Society show how perilous it can be to determine the age of a firm

(D) The age of a firm can never be established since there is no way the transformation of an organisation into a business can be determined with certainty

Ans: B

Solution:

The question about the age of the firm is not easy to resolve. Some companies were earlier trade associations, state organisations or religious communities.

The problem with ‘The question about the age of the firm is not easy to resolve. Some such as Château de Goulaine……’ is that it is too specific. Also nowhere in the passage is it claimed that there is a possibility that Château de Goulaine was a business 1000 years ago.

‘Examples like Château de Goulaine…..’ is incomplete. Those examples illustrate something, namely, how the nature of an organisation makes it difficult to determine the age of its business.

‘The age of a firm….’ is extreme since it says “never”

‘The question about the age of the firm is not easy to resolve. Some companies were earlier trade……’ is the best answer since is relates the difficulty with the nature of the firm.

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