514 practice questions covering Data Interpretation, organised into 6 topics.
514 questions include a written explanation; 60 are from previous year papers.
Pick a topic below, or try the samples first.
The following pie charts show the break-up of disease categories recorded in the patients from two towns, Town A and Town B. The pie charts plot the disease categories as a percentage of the total number of patients in each town (categories: Diabetes, High BP, Obesity, Heart Disease, Others). Based on these, which of the two towns has a higher number of persons with Diabetes?
(a) Town A
(b) Town B
(c) Same in Town A and Town B
(d) No inference can be drawn
ATown A
BTown B
CSame in Town A and Town B
DNo inference can be drawn
Show answer and explanation
Correct answer: D - No inference can be drawn
The pie charts give only the percentage of patients in each disease category, not the actual number of patients in each town. To compare the absolute number of diabetic persons, we would need the total number of patients in Town A and Town B, which is not provided. A higher percentage in one town can still mean fewer people if its total patient count is smaller. Therefore no inference about the actual number can be drawn.
Q2
Previous year questioneasy
A pie diagram shows the percentage distribution of proteins, water and other dry elements in the human body. Given that proteins correspond to 16% and water corresponds to 70%. If both proteins and the other dry elements correspond to p%, then what is the central angle of the sector representing p on the pie diagram?
A54°
B96°
C108°
D120°
Show answer and explanation
Correct answer: C - 108°
The three components must total 100%. With proteins at 16% and water at 70%, other dry elements account for 100 - 16 - 70 = 14%. Then p = proteins + other dry elements = 16 + 14 = 30%. The central angle for 30% of a pie is 0.30 x 360 = 108 degrees, option (c). Option (a) 54 degrees corresponds to 15%, option (b) 96 degrees to about 26.7%, and option (d) 120 degrees to 33.3% - none matches the 30% sector.
Q3
Previous year questioneasy
The following graph shows the average profit of two fruit-sellers A and B in thousands (Rs.) per year from the year 1995 to 2000.
Approximate values read from the graph (in thousands of rupees):
Year: 1995 1996 1997 1998 1999 2000
A: 3.0 4.0 5.0 3.4 4.0 6.0
B: 4.0 4.0 4.0 4.0 5.0 5.4
What is the trend of the average profit of B from the year 1997 to the year 2000?
ANon-increasing
BNon-decreasing
CSteady
DFluctuating
Show answer and explanation
Correct answer: B - Non-decreasing
B's values from 1997 to 2000 are 4, 4, 5, 5.4. The sequence never falls: it stays the same from 1997 to 1998, then rises in 1999 and again in 2000. A series that never decreases (some steps flat, some rising) is called non-decreasing. It is not steady because it does change, and not fluctuating because it never goes down.
Q4
Previous year questionmedium
In a survey regarding a proposed measure to be introduced, 2878 persons took part of which 1652 were males. 1226 persons voted against the proposal of which 796 were males. 1425 persons voted for the proposal. 196 females were undecided.
How many males were undecided?
A31
B227
C426
D581
Show answer and explanation
Correct answer: A - 31
Total undecided = total participants minus those against minus those for = 2878 - 1226 - 1425 = 227. Of the undecided, 196 are females, so males undecided = 227 - 196 = 31.
Q5
Previous year questionhard
A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option.
Question: Let P, Q, R, S be distinct non-zero digits. If PP x PQ = RRSS, where P <= 3 and Q <= 4, then what is Q equal to?
Statement I: R = 1.
Statement II: S = 2.
Which one of the following is correct in respect of the above Question and the Statements?
AThe Question can be answered by using one of the Statements alone, but cannot be answered using the other statement alone.
BThe Question can be answered by using either Statement alone.
CThe Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.
DThe Question can be answered even without using any of the Statements.
Show answer and explanation
Correct answer: D - The Question can be answered even without using any of the Statements.
Write PP = 11P and RRSS = 1100R + 11S = 11(100R + S). Dividing the equation PP x PQ = RRSS by 11 gives P x (10P + Q) = 100R + S. Since R and S are non-zero digits, 100R + S is at least 101. Test the allowed values of P (P at most 3): P = 1 gives at most 1 x 14 = 14; P = 2 gives at most 2 x 24 = 48; both are too small. P = 3 gives 3 x (30 + Q) = 90 + 3Q, which reaches 101 only if Q is at least 11/3, so Q = 4 (since Q is at most 4). Check: 33 x 34 = 1122, so R = 1 and S = 2, all digits distinct. Q = 4 is forced by the conditions in the question itself, so neither statement is required. The question can be answered even without using any of the statements. The official UPSC key confirms option (d).
Q6
Previous year questioneasy
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?
A40%
B50%
C60%
D70%
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%.
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