Data Interpretation - Solved Questions and Answers
Data interpretation questions are a key component of the Quantitative Aptitude section, requiring the ability to analyze and interpret various forms of data such as tables, graphs, and charts. These questions often focus on concepts like percentages, ratios, and proportions, which can pose a challenge. This article will explore commonly asked questions and provide practice problems to help you improve your data interpretation skills.
Data Interpretation questions and answers are provided below for you to learn and practice.
Question 1: The following table contains the data on train arrival and train departure from a station. Study the table and answer the questions that follow :
a) Find the number of trains that arrived late
b) Find the number of trains that departed late
c) Find the percentage of late-arriving trains
Solution:
a) Number of trains arriving late = 114 + 31 + 5 = 150
b) Number of trains departing late = 82 + 5 + 3 = 90
c) Percentage of late arriving trains = (150 / 1400) x 100 = 10.71 %
Question 2: The table below shows the number of books sold by a bookstore over five months.
a) What is the average number of books sold per month over the five-month period?
b) By what percentage did book sales increase from January to May?
c) If the trend continues, how many books are expected to be sold in June?
Solution:
a) Average = (120 + 150 + 180 + 210 + 240) / 5 = 180 books
b) Percentage Increase = [(240 - 120) / 120] × 100 = 100%
c) Expected June Sales = Since sales increase by 30 each month, June = 240 + 30 = 270 books
Question 3: Study the following bar graph and answer the questions that follow: Total monthly income = Rs. 50,000.
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 the amount on food is spent as amount on education?
Solution :
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 %
Question 4: Study the pie chart below and answer the questions that follow :
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?
Solution :
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
Question 5: The pie chart below shows the monthly expenditure breakdown (in percentage) of a family with a total income of Rs. 75,000.
a) What amount is spent on Rent?
b) How much more is spent on Food and Rent together compared to Transportation and Education combined?
c) What percentage of the total income is saved?
d) If the Entertainment budget is reduced by half and added to Savings, what will be the new Savings amount?
Solution:
a) Rent = 30% of Rs. 75,000
= 0.30×75,0000.30×75,000 = Rs. 22,500b) Food + Rent = 25% + 30% = 55%
=0.55×75,000=Rs.41,250=0.55×75,000=Rs.41,250
Transportation + Education = 15% + 10% = 25%
=0.25×75,000=Rs.18,750=0.25×75,000=Rs.18,750
Difference = Rs. 41,250 – 18,750 = Rs. 22,500c) Savings = 12% (already given as a percentage of income).
d) Original Entertainment = 8% of 75,000 = Rs. 6,000
Reduced by half = Rs. 3,000
New Savings = Original Savings (12%) + Rs. 3,000
=(0.12×75,000)+3,000=9,000+3,000=Rs.12,000=(0.12×75,000)+3,000=9,000+3,000=Rs.12,000
Question 6: A company conducted a survey of 500 customers to determine their satisfaction with the company's products. The results showed that 80% of customers were satisfied with the products. Of the satisfied customers, 60% were repeat customers. How many customers were repeat customers and satisfied with the products?
Solution :
To determine the number of repeat customers who were satisfied with the products, we need to first calculate the total number of satisfied customers.
The survey showed that 80% of 500 customers were satisfied with the products, so the number of satisfied customers is: 80% of 500 = 0.8 * 500 = 400.
Now we can find the number of repeat customers who were satisfied with the products by multiplying the total number of satisfied customers by the percentage of satisfied customers who were repeat customers: 60% of 400 = 0.6 * 400 = 240.
Therefore, there were 240 repeat customers who were satisfied with the products.
Question 7: Study the following line graph and answer the questions based on it.
Number of Vehicles Manufactured by Two Companies over the Years (Number in Thousands)
a) What is the average number of vehicles manufactured by Company X over the given period?
b) In which of the following years, the difference between the productions of Companies X and Y was the maximum among the given years?
c) The production of Company Y in 2014 was approximately what percent of the production of Company X in the same year?
Solution :
a) Average number of vehicles manufactured by Company X
(119000 + 99000 + 141000 + 78000 + 120000 + 159000)/6 = 119333.
b) The difference between the productions of Companies X and Y in various years are:
- For 2011 (139000 - 119000) = 20000.
- For 2012 (120000 - 99000) = 21000.
- For 2013 (141000 - 100000) = 41000.
- For 2014 (128000 - 78000) = 50000.
- For 2015 (120000 - 107000) = 13000.
- For 2016 (159000 - 148000) = 11000.
Clearly, maximum difference is 50,000 in 2014.
c) percentage = (78000/128000) × 100 ≈ 60.94%
So, the production of Company Y in 2014 was approximately 60.94% of the production of Company X in the same year.
