To perform well in the Data Interpretation and Logical Reasoning (DI LR) section of the CAT exam, it is crucial to practice a variety of question types. Line Graph Questions are an important subset of DI LR questions that require aspirants to analyze data represented on a line graph and draw insights from it. To help CAT aspirants prepare for this type of question, we are providing a collection of Line Graph Questions for CAT with detailed solutions in PDF format. In this article, we will provide you with the most important questions to prepare for the CAT exam. By practising these questions, aspirants can enhance their proficiency in solving Line Graph-related problems and increase their chances of securing a higher score in the DI LR section of the CAT exam.

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**Instructions:**

The graph given below shows the quantity of milk and food grains consumed annually along with female and male population (in millions). Use the data to answer the questions that follow.

**Question 1:**

When was the per capita production of milk least?

a) 1990

b) 1992

c) 1994

d) 1996

**Question 2:**

When was the per capita production of foodgrains most?

**a)**Â 1992

**b)**Â 1993

**c)**Â 1994

**d)**Â 1995

**Question 3:
**

In which year was the difference between the percentage increase in the production of food grains and milk maximum?

a) 1993

b) 1994

c) 1995

d) 1996

**QuestionÂ 4:
**

If milk contains 320 calories and foodgrains contain 160 calories, in which year was the per capita consumption of calories highest?

**a)**Â 1993

**b)**Â 1994

**c)**Â 1995

**d)**Â 1996

Question 5:

If one gallon milk contains 120 g of a particular nutrient and one tonne of foodgrains contains 80 g of the same nutrient, in which year was the availability of this nutrient maximum?

**a)**Â 1993

**b)**Â 1994

**c)**Â 1995

**d)**Â 1996

Question 6:

Referring to the previous question, in which year was the per capita consumption of this nutrient highest?

**a)**Â 1993

**b)**Â 1994

**c)**Â 1995

**d)**Â 1996

**Solutions:
**

**1)**Â Answer (a)

The population is increasing steadily, but the milk produced decreased significantly in 1996.

Hence, the only two years we need to check for the least per capita milk production are the first year (1990) and 1996.

Milk produced in 1990 is 5 million gallons.

Total population in 1990 is 34+35 = 69 million.

Hence, per capita production of milk in 1990 is 0.072 gallon per person.

Milk produced in 1996 is 6 million gallons.

Total population in 1996 is 40+42 = 82 million.

Hence, per capita production of milk in 1996 is 0.073 gallon per person.

Hence, the year with the least per capita production of milk is 1990.

**2)**Â Answer (d)

In this question the total population does not change much in the whole span. So the per capita food grain production will be maximum when the total foodgrain production is maximum. It happens in 1995.

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**3)**Â Answer (c)

The difference is maximum when one quantity is maximum and other quantity is minimum. The percentage increase in production of food grains is maximum in 1995 and the percentage production increase in production of milk is negative for 1995.

**4)Â **Answer (c)

The consumption of milk is comparatively lesser than that of food grains and also the consumption of milk does not change by much during the given period.

Hence, the change in food grains is the key to estimate the calorie count.

We can see the spike in consumption of food grains in 1995. Hence, percapita consumption is highest in 1995.

**5)**Â Answer (c)

The maximum availability of the nutrient will be either in 1994 or 1995. because the cumulative production of milk and food grains is maximum in these years.

Availability in 1994 = (120*8) + (25*80) = 2960

Availability in 1995 = (6*120) + (31*80) = 3200

Hence the availability is maximum in 1995.

**6)**Â Answer (c)

Ratio of nutrient in milk(1 gallon) and foodgrains(1 tonne) is 3:2

There is a huge spike in the consumption of food grains in 1995.

Total nutrients consumed in 1995 = 30*80 + 7*120 = 3240 million gms.

This is more than any other year.

=> 1995 is the answer