## Data interpretation and logical reasoning

Q.1
Based on the data given below (Table 1.11) answer the questions following that.​ Find the number of crops for which India’s productivity is more than the world’s average productivity.
The productivity of certain crops in India is greater than the world’s average productivity. For each of these crops, what is the percentage difference between the world’s productivity and India’s productivity?
The difference between the productivity of cabbage in India and in tbe world is:
For which crop is the CP/PI ratio the maximum?
For which crop is the CP/PI ratio the minimum?
For which crop is the CP/WP ratio the maximum?
For which crop is the CP/WP ratio the minimum?
The productivity of beans in India is what percentage of the world’s average productivity of beans?
The productivity of tomatoes in India is what percentage of tbe world’s average productivity of tomatoes?
The productivity of okra in India is what percentage of the world’s average productivity of okra?
If beans production had occurred at it’s capacity for production for the entire world, then what would have been the estimated increment in the production in terms of:
absolute value increase ?
percentage increase ?
Represent the data above in the form of a set of:
bar charts.
pie charts.
line graph.

Ans .

1. Six
2. Eggplant 2.74%
Cauliflower 7.89%
Chilli 6.12%
Onion 2.85%
Pea 19.84%
3. 59.4 g/ha
4. Chilli (green)
5. Cucumber
6. Chilli (green)
7. Cucumber
8. 31.96%
9. 62.16%
10. 59.20%
11. (a) Cannot be determined (b) 16.22%

Explanation :
1. Visual questions.
2. The required calculation would be = Differenceofproductivity[India−World]World′saverageproductivity
3.World′saverageproductivityofcabbage−India′sproductivityofcabbageIndia′sproductivityofcabbage
4-7. Use principals of maximisation and minimisation of ratio.
11.(a).The absolute value increase cannot be determined since we do not have any data about the amount of land under usage for the production of beans.
11.(b).The required value will be given by: 80−68.8368.83×100 = 80−68.8368.83×100

Q.2
Based on Figure 1.10 which gives the data of milk production in India from 198{}-81to 2001-412, answer the questions In which year was the percentage increment in milk production the minimum?
For Question 7, find the percentage increment
Find the percentage growth in the milk production in India during the entire period.
Find the compounded annual percentage growth rate in the milk production in India during the entire period.
How much milk was produced in India during the entire period?
Represent the data above in the form of a set of:
bar charts.
pie charts.
table.

Ans .

1. 1998-99
2. 8.61%
3. 1998-99
4. 6.1 million litres
5. 1987-88
6. 1.30%
7. 1987-88
8. 1.30%
9. 180.37%
10. 5.03% approx
11. 1247.3 million litres

Explanation :
1. The maximum increment between two consecutive years will be given by the steepest slope. (clearly seen in 1998-99)
2. The percentage increment = 76.9−70.870.8×100 = 6.170.8×100.
3. A close inspection will make you compare between 1981-82 and 98-99. The ratios are 2.731.6 for 1981-82 and 6.170.8 for 98-99. You will need to calculate in the 0.1% range (for the percentage equivalents of these ratios).
4 – 8. The pattern of questioning is repetitive.
9. 88.6-31.6131.6 x 100 .
11. You will be required to calculate an approximate percentage value which will yield 88.6 from 31.6 in 21 years. Such calculations will not be required to be done in an examination context, so you need not worry about this question. Even if such a calculation is seemingly posed in the paper, there will definitely be a logical process to get to the correct answer.

Q.3

Study the following table [Table 1.14) and answer the questions given below that For which year is the demand for spring steel, as a percentage of tbe total alloy and stainless steel the maximum?
For which year is the ratio of alloy constructional steel to the total alloy and stainless steel the maximum?
For which year is the ratio of the carbon construetional steel to the total alloy and stainless steel the minimum?
For which year is the demand for free cutting, ball bearing and others as a percentage of the total alloy and stainless steel the minimum?
Find the total demand of the alloy constructional steel for the entire period.
Find the total demand of the spring steel for the entire period.
Find the total demand of the stainless steel for the entire period.
Total demand in Question nO.5 is what percentage of the Total Alloy and stainless steel for the entire period’?
Total demand in Question no.7 is what percentage of the total alloy and stainless steel for !he entire period?
Represent the data above in the form of a set of:
bar charts.
pie charts.
line graphs.

Ans .

1
. 1997
2. 1997
3. 2002
4. 2002
5. 4048
6. 1888
7. 5968
8. 1297
9. 21.87%
10. 32.25%

Explanation :
All the questions are regular calculation-based questions

Q.4

Study the following table (Table 1.15) and answer the questions given below that Find the percentage growth in the production of twowheelers from 1994 to 1995.
Find the percentage growth in the production of twowheelers from 1996 10 1997.
Find the percentage growth in the production of twowheelers from 1995 to 1996.
Find the percentage growth in the sales of two-whee Iers from 1996 to 1997.
Find the percentage growth in the sales of two-whee Iers from 1994 to 1995.
Find the percentage growth in the sales of two-whee Iers from 1995 to 1996.
Find the total production of two-wheelers during the entire period given in the table.
Find the total sales of two-wheelers during the entire period given in the table.
Find the ratio of the production to the sales of twowheelers in 1994.
Find the ratio of the sales to the production of twowheelers in, 1997.
Draw a pie chart for the production of two-wheelers from 1994 to 1997,
Draw a pie chart for the sales of two-wheelers from 1994 to 1997.

Ans .

1. 25%
2. 12.16%
3. 20.98%’
4. 11.48%
5. 25.27%
6. 20.32%
7. 9586659
8. 9594613
9. 0.995
10. 0.994

Explanation :
All the questions are regular calculation-based questions. The student is advised to go through the calculations for practice.

Q.5

Study the following figure (Figure 1.11) and answer the questions given below that. Total expenditure 庐 Rs 7200 crores (Year 2006-07)

What is the expenditure on power and energy?
What percentage of the expenditure on other sectors is the expenditure on transport?
What is the value of the maximum difference between the expenditure of any two of the sectors?
Find the average expenditure per sector of the four biggest sectors.
If all the sectors are divided into two groups A and B containing five sectors each, then what can be the maximum difference in the expenditures of group A and group B?
If the objective is to find a triplet in which the sum of expenditures of two sectors equals the expenditure of the third sector, how many such triplets can be found?
What is the ratio of the sum of expenditures on natural resources and energy efficiency to the expenditure on financial institutions?
How many sectors show an expenditure of more than Rs 1,010 crore?
Find the ratio of the sum of expenditures of the two biggest sectors to the sum of expenditures of the two smallest sectors.
if we have to convert the above pie chart into a bar graph with sectors and their expenditures on the x- axis and the y-axis respectively, what will the chart look like?
If the expenditure in 2007-08 rises by 10 per cent over 2006-07 keeping the percentage distribution of expenditure of all the sectors same, what will be the expenditure on property, tourism and shipping in 2007-8?
By what percentage should the total expenditure be raised in 2007-08 over 2006-07 so that the expenditure on agribusiness in 2006-07 becomes equal to the expenditure on energy efficiency in 2007-8 keeping all the other factors the same?