# CAT Model Paper 7 Questions and Answers with Explanation Part 3

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Q: 15. Find the sum of the series

(A)

(B)

(C)

(D) None of the above

Ans: B

Solution:

Let us take a general form and then try to simplify it

So,

And so on till the last term

Q: 16. Given , which of the following may be a true about permissible value of K?

I.

II.

III.

IV. .

(A) Only I & IV

(B) Only III & IV

(C) Only I & III

(D) All four values are permissible

Ans: C

Solution:

3

Q: 17. Shiv has 61 chocolates with him and he wants to distribute them among Amar, Akbar and Anthony. What is the probability that Amar gets more than Akbar and Akbar gets more than Anthony?

(A)

(B)

(C)

(D) None of the above

Ans: A

Solution:

Let Antony

Let Akbar

Let Amar

Total

If gives 30 solutions

If gives solutions

If solutions

…

If gives 3 solutions

Totally solutions

If solutions

If solutions

If solutions

…

If solutions

Totally solutions

Totally solutions

__Answer the questions on the basis of the information given below__.

The following bar chart represents the average percentage expenditure on food and drinks out of the total weekly income per person for 10 given countries. The table gives information related to the weekly spending on food in these countries (in $) .

Country | Average weekly spend food per head (in $) |

Cameroon | 9 |

Belarus | 26 |

Egypt | 19 |

Kenya | 5 |

USA | 43 |

Britain | 43 |

South Korea | 30 |

France | 63 |

Russia | 38 |

India | 5 |

Q: 18. India՚s average weekly income per head is approximately what percentage of Britain?

(A)

(B)

(C)

(D)

Ans: A

Solution:

For India, average expenditure on food of weekly income, which is . Hence, weekly income of India is .

For Britain, average expenditure on of weekly income, which is . Hence, weekly income of Britain is

Hence, the required percentage is approximately .

Q: 19. If all the ten countries are ranked according to the average weekly income per head in descending order, then what will be the rank of USA?

(A)

(B)

(C)

(D) None of these

Ans: A

Solution:

We notice that USA spends the least % of income for food, and the dollars spent on food is the 2^{nd} highest. This means that the weekly income of USA will be on the higher side as compared to other countries. Hence, the only thing we need to is to compare it with France. By doing that we observe that the income of USA is the highest.

Q: 20. What is the ratio of average weekly expenditure per head on drinks for India and South Korea?

(A)

(B)

(C)

(D) Cannot be determined

Ans: C

Solution:

For India, we have already found that the weekly income is . Of that, is spent on drinks.

For South Korea, of income is spent on food, which is . Hence, total income is . Out of that, is spent on drinks = i.e.. . Hence, the required ratio is .

Q: 21. If we arrange all words in dictionary order, which are obtained by rearranging the letters of the word “success” , then what will be the rank of the word “success” ?

(A)

(B)

(C)

(D)

Ans: D

Solution:

Total number of words

Arrange c, e, s, u in alphabetical order.

With word starting with

With word starting with

Success is the first word if words start with

Q: 22. . Find the value of

(A)

(B)

(C)

(D)

Ans: B

Solution:

Similarly