CAT Model Paper 4 Questions and Answers with Explanation Part 1

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Comet TV is a leading entertainment channel in India famous for its soap operas and reality shows. The following pie-chart is a split-up of the viewers across five zones of India - North, Central, South, West and East in the month of January 2013. Total number of viewers in January 2013 is .

Q 1 to 4 Pie-Chart of Viewership

Q 1 to 4 Pie-Chart of Viewership

Q: 1. If in the month of January 2013, of the viewers in the North zone, 40% of the viewers in the Central zone, of the viewers in the South zone, 40% of the viewers in the East zone and of the viewers in the West zone are female, find the ratio of number of female viewers to that of the number of male viewers in that month?

(A)

(B)

(C)

(D)

Ans: A

The number of viewers of Comet TV for each zone in the month of January 2013 is listed below.

Q_1_The Number of Viewers of Comet TV for Each Zone in the Month of January 2013
Q_1_The number of Viewers of Comet TV for each Zone in the Month of January 2013

Zone

No. of Viewers

North

South

Central

East

West

The following table lists the number of male and female viewers based on the data given in the question

Q_1_1_Table Lists the Number of Male and Female Viewers
Q_1_1_Table Lists the Number of Male and Female Viewers

Zone

No. of Viewers

Female Viewers

Male Viewers

North

South

Central

East

West

Total

20400000

27600000

Hence, the ratio is 17:23.

Q: 2. In February 2013, Comet TV introduced a new reality show called Melodia due to which its total number of viewers increased by over January 2013. In February 2013, what is the maximum possible value of the viewers in the Central zone as a percentage of total viewers if it is known that none of the Comet TV viewers of January 2013 shifted to another zone in February 2013 or stopped watching Comet TV in February 2013?

(A)

(B)

(C)

(D)

Ans: B

Solution:

Number of viewers of Comet TV in February

(A net increase of

To maximize the number of viewers in Central zone, we assume that all the new viewers of Comet TV belong to the central zone.

Total number of Comet TV viewers of Central zone in February

Central zone viewers as a percentage of total number of viewers

Hence, the required percentage is 36%.

Q: 3. In January 2013, of the viewers in the North zone belong to Delhi, and of viewers in Delhi are females. In the same month, of viewers in the South zone belong to Tamilnadu and 40% of viewers in Tamilnadu are males. By what percent is the number of male viewers in Delhi more/less than that of female viewers in Tamilnadu?

(A)

(B)

(C)

(D)

Ans: C

SOLUTION

Number of viewers from Delhi

Number of male viewers from Delhi

Number of viewers from Tamilnadu

Number of female viewers from Tamilnadu

Male viewers from Delhi are lesser in number when compared to the female viewers from Tamilnadu.

Required percentage

Hence, the required percentage is 6.25.

Q: 4. The viewers of January 2013 continued to watch the channel in February 2013. Meanwhile, Comet TV failed to add new viewers in February 2013. of the South Zone viewers of January 2013 shifted to East zone and of East Zone viewers of January 2013 shifted to West zone at the start of February 2013. Nobody else shifted to other zones at the start of February 2013. What is the difference between the number of East zone viewers and South zone viewers in February 2013?

(A)

(B)

(C)

(D)

Ans: D

SOLUTION

Number of South zone viewers in Jan 2013

of South zone viewer’s shift to East zone in Feb 2013.

Number of South zone viewers in Feb 2013

of South zone viewers shift to East zone in Feb 2013 and 3.75% of East zone viewers shift to West zone in Feb 2013.

Number of East zone viewers in Feb 2013

Difference between the number of South zone and east zone viewers in Feb

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