Bar Graphs MCQs for UPSC Prelims

82 practice questions on Bar Graphs from the Data Interpretation section of the UPSC Prelims syllabus. 82 come with a written explanation and 13 are actual previous year questions. Try the sample set below - the answer stays hidden until you ask for it.

29 Easy 43 Medium 10 Hard 13 from past papers

Sample questions

Q1
Previous year question easy

Study the two figures given below and answer the item that follows. Figure 1 (Number of professors in selected disciplines in a University, by sex), giving Male and Female counts: Physics: Male 32, Female 8 Mathematics: Male 28, Female 8 Chemistry: Male 16, Female 22 Botany: Male 10, Female 14 Psychology: Male 4, Female 6 Economics: Male 24, Female 8 Figure 2 (Age of Physics professors, as a pie chart): 25-34 years: 30% 35-44 years: 40% 45-59 years: 20% 60-65 years: 10% What percentage of all Psychology professors are females?

  1. A 40%
  2. B 50%
  3. C 60%
  4. D 70%
Show answer and explanation

Correct answer: C - 60%

For Psychology, male professors are 4 and female professors are 6, so the total is 10. The percentage of females is (6 / 10) x 100 = 60%.

Q2
Previous year question medium

Directions: The following item is based on the graph given below, which shows imports of three different types of steel over a period of six months of a year. The bar graph (in thousands of tons imported) gives, for each month, three bars in the order Coil, Sheet and Scrap. The approximate values read from the graph are: January: Coil 30, Sheet 40, Scrap 31 February: Coil 31, Sheet 37, Scrap 34 March: Coil 32, Sheet 35, Scrap 33 April: Coil 34, Sheet 35, Scrap 31 May: Coil 32, Sheet 34, Scrap 32 June: Coil 38, Sheet 34, Scrap 31 The figures in brackets indicate the average cost per ton over the six month period: Coil $320, Sheet $256, Scrap $175. By how much (measured in thousands of tons) did the import of sheet steel exceed the import of coil steel in the first three months of the year?

  1. A 11
  2. B 15
  3. C 19
  4. D 23
Show answer and explanation

Correct answer: C - 19

Sheet steel imports for the first three months (January, February, March) are about 40 + 37 + 35 = 112 thousand tons. Coil steel imports for the same months are about 30 + 31 + 32 = 93 thousand tons. The excess of sheet over coil is 112 - 93 = 19 thousand tons.

Q3
Previous year question medium

Consider the four age pyramids given below, namely A, B, C and D, representing four different countries. Each pyramid plots the percentage of population in each age class against age. Which one of them indicates the declining population? (a) A (b) B (c) C (d) D

  1. A A
  2. B B
  3. C C
  4. D D
Show answer and explanation

Correct answer: D - D

A declining (constrictive) age pyramid is narrow at the base, meaning the proportion of children and young people is smaller than the proportion in the middle and older age classes. This low birth rate, with a larger ageing population, signals a shrinking population over time. Among the four pyramids, the one with the pinched, narrow base (pyramid D) represents a declining population.

Q4
Previous year question easy

Study the two figures given below and answer the item that follows. Figure 1 (Number of professors in selected disciplines in a University, by sex), giving Male and Female counts: Physics: Male 32, Female 8 Mathematics: Male 28, Female 8 Chemistry: Male 16, Female 22 Botany: Male 10, Female 14 Psychology: Male 4, Female 6 Economics: Male 24, Female 8 Figure 2 (Age of Physics professors, as a pie chart): 25-34 years: 30% 35-44 years: 40% 45-59 years: 20% 60-65 years: 10% Which one of the following disciplines has the highest ratio of males to females?

  1. A Physics
  2. B Mathematics
  3. C Chemistry
  4. D Economics
Show answer and explanation

Correct answer: A - Physics

Compute the male to female ratio for each listed discipline. Physics: 32 / 8 = 4.0 Mathematics: 28 / 8 = 3.5 Chemistry: 16 / 22 = about 0.73 Economics: 24 / 8 = 3.0 The highest ratio is Physics at 4 to 1.

Q5
Previous year question medium

The following three items are based on the graph given below which shows imports of three different types of steel (Coil, Sheet and Scrap) over a period of six months of a year. The vertical axis shows thousands of tons imported for each month (January to June). The figures in the brackets indicate the average cost per ton over the six months period: Coil ($320), Sheet ($256), Scrap ($175). Study the graph and answer the items that follow. By how much (measured in thousands of tons) did the import of sheet steel exceed the import of coil steel in the first three months of the year?

  1. A 11
  2. B 15
  3. C 19
  4. D 23
Show answer and explanation

Correct answer: C - 19

For the first three months (January, February and March) read the heights of the Sheet bars and the Coil bars and total each. Summing the sheet-steel imports for these three months and subtracting the summed coil-steel imports for the same three months gives a net excess of about 19 thousand tons, which is option (c). The other values (11, 15, 23) do not match the difference of the totals read off the graph for these three months.

Q6
Previous year question medium

Directions: The following item is based on the same graph of steel imports over six months. The bars for each month are in the order Coil, Sheet and Scrap, with approximate values (in thousands of tons): January: Coil 30, Sheet 40, Scrap 31 February: Coil 31, Sheet 37, Scrap 34 March: Coil 32, Sheet 35, Scrap 33 April: Coil 34, Sheet 35, Scrap 31 May: Coil 32, Sheet 34, Scrap 32 June: Coil 38, Sheet 34, Scrap 31 The average cost per ton over the six month period is: Coil $320, Sheet $256, Scrap $175. What was the approximate ratio of sheet steel and scrap steel imports in the first three months of the year?

  1. A 1 : 1
  2. B 2 : 1
  3. C 1.4 : 1
  4. D 1.6 : 1
Show answer and explanation

Correct answer: A - 1 : 1

Sheet steel imported in the first three months is about 40 + 37 + 35 = 112 thousand tons, and scrap steel is about 31 + 34 + 33 = 98 thousand tons. The ratio is 112 : 98, which is approximately 1.14 : 1, closest to 1 : 1 among the given options.

Q7
Previous year question medium

The following three items are based on the graph given below which shows imports of three different types of steel (Coil, Sheet and Scrap) over a period of six months of a year. The vertical axis shows thousands of tons imported for each month (January to June). The figures in the brackets indicate the average cost per ton over the six months period: Coil ($320), Sheet ($256), Scrap ($175). Study the graph and answer the items that follow. What was the approximate total value (in $) of sheet steel imported over the six months period?

  1. A 45,555
  2. B 50,555
  3. C 55,550
  4. D 65,750
Show answer and explanation

Correct answer: C - 55,550

Add the sheet-steel bars for all six months to get the total quantity of sheet steel imported (in thousands of tons), then multiply by the average cost per ton of sheet steel, which is $256. The total sheet quantity read off the graph times $256 works out to approximately 55,550 (in the units used by the options), matching option (c). The remaining options correspond to either a wrong total quantity or use of the wrong per-ton cost.

Q8
Previous year question easy

Study the two figures given below and answer the item that follows. Figure 1 (Number of professors in selected disciplines in a University, by sex), giving Male and Female counts: Physics: Male 32, Female 8 Mathematics: Male 28, Female 8 Chemistry: Male 16, Female 22 Botany: Male 10, Female 14 Psychology: Male 4, Female 6 Economics: Male 24, Female 8 Figure 2 (Age of Physics professors, as a pie chart): 25-34 years: 30% 35-44 years: 40% 45-59 years: 20% 60-65 years: 10% 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?

  1. A 400
  2. B 500
  3. C 600
  4. D 700
Show answer and explanation

Correct answer: B - 500

The number of Psychology professors is 4 + 6 = 10. If these 10 are 2% of all professors in the University, then the total number of professors = 10 / 0.02 = 500.

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