Data Interpretation – 2

Q1.Study the following bar graph and answer the questions that follow: Total monthly income = Rs. 50,000

Di 1

a) What amount is spent on food ?

b) How much more money is spent on clothing and housing together than on transportation?

c) What percent of amount on food is spent as amount on education?

Answer Explanation:

a) Food = 20 % of expenditure => Amount spent on food = 20% of 50,000 = Rs. 10,000

b) Money spent on clothing and housing together = 25 % of Rs. 50,000 = Rs. 12,500 Money spent on transportation = 20 % of Rs. 50,000 = Rs. 10,000 Therefore, more money spent on clothing and housing together than on transportation = Rs. 12,500-10,000 = Rs. 2,500

c) Expenditure on food = 20 % Expenditure on education = 5 % Therefore, percent of amount on food spent as amount on education = (5 / 20) x 100 = 25 %

 

Q2. Study the pie chart below and answer the questions that follow : 

Di 2

The above pie chart shows the sales of four different types of articles in a shop.

a) What is the central angle of type A ?

b) If the total sale is 1200, what is the sale of B ?

c) What is the difference between the central angle of C and D ?

Answer Explanation:

a) Central angle of A = Percentage of A x 360 degrees = (35 / 100) x 360 = 126 degrees

b) Sales of B = 20 % of 1200 = 240

c) Difference between the central angle of C and D = 40 % of 360 – 5 % of 360 = 35 % of 360 = 126 degrees

 

Q3. Find the missing term : 157.5, 45, 15, _, 3, 2, 2

Answer Explanation:

Let the missing number be ‘n’ 157.5 / 45 = 3.5 45 / 15 = 3 15 / n = 2.5 n / 3 = 2 3 / 2 = 1.5 2 / 2 = 1 Therefore, the missing number is 6

 

Q4. Find the next term in the series : 6, 7, 9, 13, _

Answer Explanation:

Let the missing number be ‘n’ 7 – 6 = 1 9 – 7 = 2 13 – 9 = 4 n – 13 = 8 Therefore, next number in the series = n = 21

 

Q5. Find the incorrect element in the series : 1, 3, 10, 36, 152, 760, 4632

Answer Explanation:

1 x 1 + 2 = 3 3 x 2 + 4 = 10 10 x 3 + 6 = 36 36 x 4 + 8 = 152 152 x 5 + 10 = 770 770 x 6 + 12 = 4632 Therefore, the incorrect element in the series is 760.

 

Q6. Who is the tallest among the brothers A, B, C, D ? 

Statement 1 : C is shorter than only B 

Statement 2 : D is taller than only A

I) Statement 1 alone is sufficient 
II) Statement 2 alone is sufficient 
III) Both statement 1 and statement 2 together are sufficient 
IV) Both statement 1 and statement 2 even together are not sufficient

Answer Explanation:

If we consider statement 1 only, we can safely conclude that B is the tallest of all. If we consider statement 2 only, we can safely conclude that A is the shortest of all. Therefore, statement 1 alone is sufficient to answer the question

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