Is Data Change Over a Period an important topic in XAT?

Yes, Data Change Over a Period is an important topic in the XAT DI section. It tests a candidate's ability to analyse how data values change over time, identify trends, calculate growth rates, and compare values across different periods.

What types of Data Change Over a Period questions appear in XAT?

XAT Data Change Over a Period questions typically involve time-series data presented in tables or line graphs. Questions may ask candidates to calculate year-on-year growth, compound growth rates, percentage change, or identify the period of maximum or minimum change.

How can I prepare for Data Change Over a Period questions in XAT?

Candidates should practise calculating percentage change, absolute change, CAGR (Compound Annual Growth Rate), and identifying trends from time-series data. Learning approximation techniques for multi-year growth calculations will improve speed significantly.

Are Data Change Over a Period questions difficult in XAT?

These questions are of moderate difficulty in XAT. Multi-step growth rate calculations or questions requiring comparisons across multiple time periods can be more demanding in terms of both time and calculation accuracy.

How do Cracku's XAT Data Change Over a Period questions help in preparation?

Cracku's XAT Data Change Over a Period questions provide comprehensive practice with time-series data of varying complexity. The detailed solutions demonstrate efficient methods for calculating growth rates and identifying trends, helping candidates answer these questions quickly and accurately.

XAT Data change over a period Questions

Instructions

Read the information given below and answer the 3 associated questions.
During 2015-2019, the revenues of four companies P-S were as follows:

Question 1

Which of the given companies has seen the highest year-on-year growth (in percentage) in any single year during this five-year period?

There was a tie among multiple companies

Question 2

It was discovered later that one of the companies misreported its revenue of one of the years. If the misreported revenue is replaced by the correct revenue, the revenues of that company over the five-year period will be in an arithmetic progression. The company that misreported its revenue was

R or S

S only

P or R

P or S

P only

Question 3

During the period from 2014 to 2015, the revenue increased by 25% for three of the companies and by 50% for the remaining company. The total increase in revenue, for all four companies put together, was Rs. 125 lakhs.
Which of the following CANNOT be true?

From 2014 to 2015, the increases in revenues of at least two companies were the same

The revenue of Q in 2014 was the same as the revenue of R in 2014

The company that experienced the 50% increase in revenue also experienced the maximum increase in revenue in absolute terms

The 2014 revenues of P and R cannot be determined uniquely

From 2014 to 2015, the revenues of P and R increased by different amounts

Instructions

Answer the questions on the basis of information given below.

Twitter allows its users to post/share and read short messages known as tweets. Tweets can be of three types – Positive Tweets (in support), Negative Tweets (against) and Neutral Tweets. The following table presents the Number of Votes and Tweets received by certain political parties.

* Any party which has secured less than 2% of the total votes falls under ‘Other Parties’ category. For example, Party E secured less than 2% of total votes, in the year 2000.

Note: If the vote share (%age of total votes) of a party changes from 15% to 40%, gain in vote share would be 25% (= 40%, – 15%).

Question 1

Which of the following options correctly arranges the political parties in descending order of gain in vote share from the year 2005 to the year 2010?

EBDCA

EBCDA

EBCAD

BCEDA

BCEAD

Question 2

Which of the following parties received maximum number of “neutral tweets” in the year 2010?

Party B

Party C

Party D

Party E

One of the parties categorised under ‘Other Parties’

Question 3

Between 2000 and 2010, in terms of gain in vote share which of the following cannot
be a possible value (approximated to one decimal place) for any party?

2.0%

2.5%

3.5%

4.5%

7.5%

Question 4

In 2010, which of the following options has maximum difference between the vote share and tweet share?

Party B

Party C

Party D

Party E

Other Parties

Instructions

Answer the questions based on the given data on the tourism sector in India.

Question 1

In which of the following years the percentage increase in the number of Indians going abroad was greater than the percentage increase in the number of domestic tourists?

2004 and 2005

2005 and 2006

2005 and 2007

2006 and 2008

2004, 2005 and 2006

Question 2

In which of the following years was the rupee cheapest with respect to the dollar?

2001

2002

2007

2010

2011

Question 3

Let ‘R’ be the ratio of Foreign Exchange Earnings from Tourism in India (in US $ million) to Foreign Tourist Arrivals in India (in million). Assume that R increases linearly over the years. If we draw a pie chart of R for all the years, the angle subtended by the biggest sector in the pie chart would be approximately:

Instructions

Question 1

What is the ratio of the current account balance in 2010 to the current account balance in 2005?

0.35

4.56

5.01

2.57

5.30

Question 2

Read the statements given below:
l.Exports were more than imports in 2006
2.Imports were more than exports in 2009
3.Exports increased at faster rate than imports during the period 2005 to 2010
Which of the above statements is necessarily true?

1 and 2

1, 2 and 3

3 only

2 only

1 only

Question 3

What was the approximate number of unemployed persons in 2006?

100 million

102 million

98 million

105 million

104 million

Instructions

based on the information given below.

The retail prices of flowers, consumer expenditure on flowers and sales of flowers for the calendar year 2009, in Phoolgaon, a small town with a population of 70000, is summarized in table 3:

Question 1

Compared to January, the sales of roses in July

decreased by 39.15%

decreased by 28.13%

increased by 4.53%

increased by 4.33%

did not change

Question 2

Compared to January, the price of carnations in December

increased by 26.57%

increased by 28.12%

increased by 36.19%

increased by 38.16%

did not change

Solution

Total population = 70000

Average consumer expenditure on Roses and carnations = 47.4

Total expenditure on both carnations and roses = 47.4*70000

= 3318000

Given total expenditure on roses = 1136916

So the total expenditure on carnations = 3318000 - 1136916

= 2181084

Sales of carnations in January = 13848 dozens

Price of carnation per dozen in January =2181084/13848

= 157.5

Similarly In December

Average consumer expenditure on Roses and carnations = 56.4

Total expenditure on both carnations and roses = 56.4*70000

= 3948000

Given total expenditure on roses = 977688

So the total expenditure on carnations = 3948000 - 977688

= 2970312

Sales of carnations = 18859 dozens

Price of carnation per dozen in January =2970312/18859

= 157.5

Therefore the price did not change

Hence E is the correct answer

Question 3

Compared to January, the total expenditure on carnations in March

increased by 6.27%

decreased by 6.64%

increased by 6.69%

decreased by 7.11%

did not change

Solution

Total population = 70000

Average consumer expenditure on Roses and carnations = 47.4

Total expenditure on both carnations and roses = 47.4*70000

= 3318000

Given total expenditure on roses = 1136916

So the total expenditure on carnations = 3318000 - 1136916

= 2181084

Similarly in the month of March

Average consumer expenditure on Roses and carnations = 49.5

Total expenditure on both carnations and roses = 49.5 *70000

= 3465000

Given total expenditure on roses = 1137915

So the total expenditure on carnations = 3465000 - 1137915

= 2327085

Percentage increase in Expenditure = (2327085-2181084)/2181084

=6.69%

Hence C is the correct answer

Instructions

Answer thequestions based on the data given in table 2

Cost and price data for Portland cement manufactured by Paharpur Cement and Bahsin Cement, for four consecutive quarters, are given in table 2:

Sales Revenue = Price × Sales Quantity
Profit = Sales Revenue – Cost
Profit Rate = Profit / Sales Quantity

Question 4

Profit rate of Paharpur Cement is more than the profit rate of Bahsin Cement in:

Oct - Dec 2008 and Jan - Mar 2009

Jan - Mar 2009 and Apr - Jun 2009

Oct - Dec 2008 only

Jan - Mar 2009 only

Apr - Jun 2009 only

Question 5

If between Jan - Mar 2009 and Apr - Jun 2009 sales of Paharpur Cement increased from 543278 to 698236 and that of Bahsin Cement decreased from 526532 to 499874, then which of the following is true?

Between Jan - Mar 2009 and Apr - Jun 2009, profit and profit rate of Paharpur Cement increased, whereas profit and profit rate of Bahsin Cement decreased.

Between Jan - Mar 2009 and Apr - Jun 2009, profit rate of Paharpur Cement increased but its profit decreased, whereas both profit and profit rate of Bahsin Cement increased.

Between Jan - Mar 2009 and Apr - Jun 2009, both profit and profit rate of Paharpur Cement decreased, whereas profit rate of Bahsin Cement decreased but its profit increased,

Between Jan - Mar 2009 and Apr - Jun 2009, profit of Paharpur Cement increased but its profit rate decreased, whereas profit rate of Bahsin Cement increased but its profit decreased.

Between Jan - Mar 2009 and Apr - Jun 2009, profit rate of Paharpur Cement decreased but its profit increased, whereas both profit and profit rate of Bahsin Cement increased.

Solution

For Jan- Mar 2009 Paharpur cement

Sales Quantity = 543278

Cost as percentage of revenue = 87.56 %

Profit as a percentage of revenue = 100-87.56

= 12.44 %

Profit = (12.44/100)* 543278 *304

= 20545470

Profit rate = 37.82

For Jan- Mar 2009 Bahsin Cement

Sales Quantity = 526532

Cost as percentage of revenue = 91.34 %

Profit as a percentage of revenue = 100-91.34

= 8.66 %

Profit = (8.66/100)* 526532*440

= 20062975.3

Profit rate = 30.5

For Apr- Jun 2009 Paharpur cement

Sales Quantity = 698236

Cost as percentage of revenue = 91.03%

Profit as a percentage of revenue = 100-91.03

= 8.97 %

Profit = (8.97/100)* 698236*340

= 21294801.53

Profit rate = 30.5

For Apr- Jun 2009 Bahsin Cement

Sales Quantity = 499874

Cost as percentage of revenue = 89.96%

Profit as a percentage of revenue = 100-89.96

= 10.04 %

Profit = (10.04/100)* 499874*430

= 21580560.33

Profit rate = 43.17

Hence E is the correct answer

Question 6

If between Apr - Jun 2009 and Jul - Sept 2009 sales of Paharpur Cement increased by 2.25%, its profit increased by

2.08%

2.25%

2.96%

3.28%

3.42%

XAT data change over a period questions focus on analyzing trends and variations in data across different time frames. These questions often involve tables, graphs, or charts depicting data points over months, quarters, or years, requiring candidates to identify patterns, calculate growth or decline rates, and draw logical conclusions. To check similar important topics, checking with the XAT syllabus will help you understand better and plan your preparation accordingly.

Along with this, we recommend you to solve questions from XAT previous papers. This will help you in knowing the question types and various type of questions being asked in the actual exam. We've compiled all the questions with detailed solutions from previous exams to help you with your preparation. You could download them as PDF and solve them as per your convenience.

XAT Data change over a period Questions

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XAT Data change over a period Questions

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