**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 1/3^{rd} 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