Direction for the questions: (1- 5:)  In a housing society, the newspaper boy keeps data of readers and notes down the sales figures of different newspapers and the gender of newspaper readers. The data is kept on a copy but unfortunately lost certain portions of the dairy. He has the following incomplete data:

Some more information that he remembered about the readers:
• Each readers only read one paper
• Half the readers either read Gujarat Samachar or Ahmedabad Mirror
• 40% of the total readers are female
• One third of the male readers read Sandesh. Also, there are female readers for Sandesh.

Question 1: What is the percentage of Ahmedabad Mirror readers among the overall readers?
(a) 12.5%
(b) 5%
(c) 0
(d) cannot be determined

Question 2: How many of the readers were both female and read the Ahmedabad Mirror?
(a) 0
(b) 8
(c) 4
(d) cannot be determined

Question 3: How many of the readers are both male and read the Gujarat Samachar?
(a) 8
(b) 5
(c) 11
(d) cannot be determined

Question 4: Among the Sandesh readers, what is the ratio of male to female persons?
(a) 3:2
(b) 1:2
(c) 2:3
(d) cannot be determined

Question 5: What proportion of Ahmedabad Mirror readers to the Gujarat Samachar readers?
(a) 0.33
(b) 0.5
(c) 0.25
(d) cannot be determined

Answers and Explanations

Explanation for Questions 1 to 5:

We know the total number of female readers (16) and that they constitute 40% of the total readers. This means the total number of readers are 40.

Also, half of the readers either read Gujarat Samachar or Ahmedabad Mirror .

Number of people who read The Sandesh = Gujarat Samachar readers + Ahmedabad Mirror readers = 20 each/

Therefore the number of Ahmedabad Mirror readers = 20 -15 = 5

Now we have one more information that 1/3rd of the male readers read Sandesh.

i.e. = 1/3 x 24 = 8

Since a total of 24 males readers are there and 13 out of these belong to Sandesh and Ahmedabad Mirror, the balance have to belong to Gujarat Samachar = 24 – 8 – 5 = 11

Now total number of readers who read Sandesh=20

Therefore, number of female readers of Sandesh=12

This means the remaining four female readers read Gujarat Samachar. Thus, we have the following table for the given information:

Answer 1 : (a)

The required percentage is:5/40 x 100=12.5%

Answer 2 : (a)

We can see from the table above that the answer is 0.

Answer 3 : (c)

We can see from the table above that the answer is 11.

Answer 4 : (c)

We can see from the table above that the answer is 2:3.

Answer 5 : (a)

The required proportion is= 5/15=0.33

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