Data Interpretation (UPSC)

Total Questions: 57

31. If the Psychology professors in the University constitute 2% of all the professors in the University, then what is the number of professors in the University? [2013-1]

Study the two figures given below and answer the questions that follow:

Fig 1: Number of Professors in selected disciplines in a University by sex :

Fig 1: Age of Physics Professors

(a) 400
(b) 500
(c) 600
(d) 700

Correct Answer: (b) 500

Solution:Let the number of professors in the university = x According to question

2% of x = 10 ⇒ x = 10 × 100/2 = 500

32. In which year is the average profit of A and B same ? [2014-I]

The following graph shows the average profit of two fruit-sellers A and B in thousands (3) per year from the year 1995 to 2000. Consider the graph and answer the 4 (four) items that follow:

(a) 1995
(b) 1996
(c) 1997
(d) 1998

Correct Answer: (b) 1996

Solution:From the given options, in 1996, the graphs of A & B intersect, which shows, same average profit.

Ans - 1996

33. What is the difference between the average profit of B and A in the year 1998? [2014-I]

The following graph shows the average profit of two fruit-sellers A and B in thousands (3) per year from the year 1995 to 2000. Consider the graph and answer the 4 (four) items that follow:

(a)-₹100
(b) -₹1,000
(c)+₹600
(d)-₹300

Correct Answer: (c)+₹600

Solution:From the graph, we observe that the difference between points A & B is more than half of 1000, but less than 1000.

500 <|Difference between A and B |<1000. From the option, + 600 satisfies this condition.

34. How much more average profit did A make in the year 2000 than in the year 1999? [2014-I]

The following graph shows the average profit of two fruit-sellers A and B in thousands (3) per year from the year 1995 to 2000. Consider the graph and answer the 4 (four) items that follow:

(a) ₹ 200
(b) ₹ 1,000
(c) ₹1,500
(d) ₹2,000

Correct Answer: (d) ₹2,000

Solution:In 2000, Profit of A = 6000

In 1999, profit of A = 4000

Difference = ₹2000

35. What is the trend of the average profit of B from the year 1997 to the year 2000? [2014-I]

Consider the following matrix:

The following graph shows the average profit of two fruit-sellers A and B in thousands (3) per year from the year 1995 to 2000. Consider the graph and answer the 4 (four) items that follow:

(a) Non-increasing
(b) Non-decreasing
(c) Steady
(d) Fluctuating

Correct Answer: (b) Non-decreasing

Solution:Non-decreasing

36. The following table shows the marks obtained by two students in different subjects: [2014-1]

	Student A	Maximum Marks	Student B	Maximum Marks
English	60	100	80	150
Psychology	70	100	70	100
History	50	100	60	100
Sanskrit	30	50	15	25

The difference in the mean aggregate percentage marks of the students is :

(a) 2.5%
(b) 13.75%
(c) 1.25%
(d) Zero

Correct Answer: (d) Zero

Solution:For A Agg marks = 60 + 70 + 50 + 30 = 210

Agg max marks = 100 + 100 + 100 + 50 = 350

% Agg marks of A = 210/350 * 100 = 60%

Agg marks 80 + 70 + 60 + 15 = 225

Agg max marks = 150 + 100 + 100 + 25 = 375

% Agg marks of B = 225/375 * 100 = 60%

Difference in agg percentage = 0

Difference in agg percentage is same as difference in mean agg percentage.

37. The following table gives population and total income of a city for four years: [2014-1]

Year	1992	1993	1994	1995
Population in lakhs	20	21	22	23
Income in crores (₹)	1010	1111	1225	1345

Which one of the following statements is correct in respect of the above data?

(a) Population increased by 5% or more every year.
(b) Income increased by 10% or more every year.
(c) Per capita income was always above ₹ 5,000.
(d) Per capita income was highest in 1994.

Correct Answer: (c) Per capita income was always above ₹ 5,000.

Solution:Rule out options:-

Option (a): - We clearly see that from 1993 to 94, increase in

pop is less than 5% * (1/21 * 100 < 5)

Option (b): from year 1994 to 1995

Increase in income = (1345-1225)/1225 × 100

= 120/49 * 4 = 480/49 < 10

Not true (c) : per capita income (p.c.i.)

Total Income in an year/Total population in that year.

In 1992 p.c.i= I01000 20 = 5050 > 5000

In 1993 p.c. i = 111100/21 > 5000

In 1994 p.c. i = 122500/22 > 5000

ln 1995 p.c. i = 134500/23 > 5000

Option (c) is correct.

38. An automobiles owner reduced his monthly petrol consumption when the prices went up. The price-consumption relationship is as follows: [2015-1]

Price (in Per litre)	40	50	60	75
Monthly consumption (in litres)	60	48	40	30

If the price goes up to 80 per litre, his expected consumption (in litres) will be :

(a) 30
(b) 28
(c) 26
(d) 24

Correct Answer: (a) 30

Solution:The product of price (in /litre) and the monthly consumption (in litres) in constraint is equal to 2400.

Expected consumption when the price goes up to 80 per litre = 2400/8 = 30 litres

39. The graph below depicts the earnings of A and B over the period 2000 to 2010: [2015-1]

From the graph, which one of the following can be concluded?

(a) On the average A earned more than B during this period.
(b) On the average B earned more than A during this period.
(c) The earnings of A and B were equal during this period.
(d) The earnings of A were less as compared to B during this period.

Correct Answer: (a) On the average A earned more than B during this period.

Solution:From given years 2000 to 2007

Earnings of A > Earnings of B

So,

Average of A > Average of B

Hence, It can be conducted that the average A earned more than B during this period.

40. Year-wise variation of the price of a certain commodity is shown in the following graph: [2015-1]

The price of the commodity in the year 1990 :

(a) must have been₹ 10/-
(b) must have been₹ 12/-
(c) must have been any where between 10/-and₹20/-
(d) is higher than that in the year 1991

Correct Answer: (c) must have been any where between 10/-and₹20/-

Solution:From the graph commodity price are between 10 and 20.

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Data Interpretation (UPSC)

31. If the Psychology professors in the University constitute 2% of all the professors in the University, then what is the number of professors in the University? [2013-1]

32. In which year is the average profit of A and B same ? [2014-I]

33. What is the difference between the average profit of B and A in the year 1998? [2014-I]

34. How much more average profit did A make in the year 2000 than in the year 1999? [2014-I]

35. What is the trend of the average profit of B from the year 1997 to the year 2000? [2014-I]

36. The following table shows the marks obtained by two students in different subjects: [2014-1]

37. The following table gives population and total income of a city for four years: [2014-1]

38. An automobiles owner reduced his monthly petrol consumption when the prices went up. The price-consumption relationship is as follows: [2015-1]

39. The graph below depicts the earnings of A and B over the period 2000 to 2010: [2015-1]

40. Year-wise variation of the price of a certain commodity is shown in the following graph: [2015-1]

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