# CAT Model Paper 7 Questions and Answers with Explanation Part 2

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Q: 9. Consider the graph of . How many points with integer coordinates lie on the boundary of the area enclosed by the graph?

(A)

(B)

(C)

(D)

Ans: B

Solution:

By putting values of as zero, we can get the points where the graph touches the axis respectively. Now considering the boundary of the 1st quadrant of this graph, the boundary is represented by , where x & y has to be positive integer.

Apart from the points on the axes there are 3 positive integral pair of values that satisfy the equations. Thus considering all quadrant & the points on the axes , total no of integral points will be

**Start Passage**

__Answer the questions on the basis of the table given below.__

The table provides the readership details and rank of 10 newspapers in the years 2003 and 2005. The rank of each newspaper is determined by its readership only.

Publication | 2003 | 2005 | ||

Rank | Readership | Rank | Readership | |

Jagran | 14982 | |||

Bhaskar | 1 | 17379 | ||

Now | 9458 | 3 | ||

Hind | 7 | 10557 | ||

Ujala | 10469 | |||

Daily | 10094 | 6 | 9445 | |

Loktantra | 8 | 8820 | ||

Patrika | 10 | 7353 | ||

Tomes | 9 | 7419 | 9 | 8092 |

Manoram | 7985 |

Some points may be noted about the tabulated data: (All the changes in 2005 are with respect to the values in 2003.)

The readership of Hind increased by.

The readership of Patrika increased by about.

In , Manoram had more readers than Hind.

The readership of Loktantra has increased by .

In , the readership of Ujala was less than Manoram by .

Jagran saw an increase in readership by.

The readership of Now increased by.

The magazines are ranked according to their readership.

Q: 10. In , the values of readership of Jagran and Bhaskar were such that one of them was about of the other. How much was the higher value?

(A)

(B)

(C)

(D)

Ans:

Solution:

Without filling the data we find that none of the newspapers Hind, Ujala, Loktantra, Manoram can be more than Jagram in 2003 and Jagram will be ranked 2.

Therefore readership of Bhaskar will be

Q: 11. What could have been the maximum possible percentage increase possible for Bhaskar from (approximately)?

(A)

(B)

(C)

(D) Cannot be determined

Ans: A

Solution:

Without filling the data we find that none of the newspapers Hind, Ujala, Loktantra, Manoram can be more than Jagram in 2003 and Jagram will be ranked 2.

Therefore readership of Bhaskarn in has to be minimum. Figure for 2005 is

Q: 12. How many magazines have shown a growth of greater than from to 2005?

(A)

(B)

(C)

(D) Cannot be determined

Ans: B

Solution:

If we fill up the blank places of the table with the given data then we will get the following table:

Publication | 2003 | 2005 | ||

Rank | Readership | Rank | Readership | |

Jagran | 2 | 14982 | 1 | 21274 |

Bhaskar | 1 | 2 | 17379 | |

Now | 4 | 9458 | 3 | 11440 |

Hind | 7 | 7899 | 4 | 10557 |

Ujala | 6 | 8640 | 5 | 10469 |

Daily | 3 | 10094 | 6 | 9445 |

Loktantra | 8 | 7867 | 7 | 8820 |

Patrika | 10 | 7353 | 8 | 8677 |

Tomes | 9 | 7419 | 9 | 8092 |

Manoram | 5 | 8798 | 10 | 7985 |

We can easily verify this by comparing increase in readership to value. Only 4 Magazines Jagran, Now, Hind and Ujala show a growth greater than

**End Passage**

13. For an integral value of ‘b’, which of the following is a possible value of ‘a’?

(A)

(B)

(C)

(D) All of the above

Ans:

Solution:

Assuming , the expression can be written as, .

Thus.

Thus either . Thus

Q: 14.

(A)

(B)

(C)

(D) None of these

Ans: D

Solution:

Sin

Sin