Study the table and answer the question. Number of new patients admitted and number of patients discharged in four hospitals A, B, C and D in different months of certain year are given in the table.HospitalsAugust New Admi.DischargeSeptember New Admi.DischargeOctober New Admi.DischargeNovember New Admi.DischargeA8056647887695874B8974886262777972C7558597885888373D7687867282687982During August to October, which hospital has seen the maximum increase in the number of patients ?

The maximum increase was in hospital A.The change in the number of patients each month is new admissions minus discharges. Adding August, September and October:A: \((80 - 56) + (64 - 78) + (87 - 69) = 24 - 14 + 18 = 28\)B: \(15 + 26 - 15 = 26\)C: \(17 - 19 - 3 = -5\)D: \(-11 + 14 + 14 = 17\)Hospital A's net increase of 28 is the largest. B is close at 26, C actually fell, and D rose by 17. November is outside the period asked about.

Data Interpretation Questions and Answers

Q: The following chart gives the percentage of the different subject teachers in a particular school. Total number of teachers is 1600.SubjectTeachers (%)Physics12%History14%Hindi15%English21%Mathematics22%Chemistry16%What is the number of male teachers of mathematics if the ratio of mathematics teachers of male to female is 3 : 1 ?

The number is 264.Mathematics teachers are 22% of all teachers.\[ 22\% \text{ of } 1600 = \frac{22}{100} \times 1600 = 352 \]The male to female ratio is 3 : 1, so males are three of every four mathematics teachers.\[ \frac{3}{4} \times 352 = 264 \]There are 264 male mathematics teachers. The option 352 is all the mathematics teachers, 88 is the female share (one quarter of 352) and 176 is half of them.

Q: Marks obtained by Sunita in her pre-board examination are as follows :SubjectMarksEnglish72Hindi84Mathematics96Science80Social Science68If a pie chart is constructed for the above data, then what will be the angle of the sector representing marks obtained by Sunita in Mathematics ?

The angle for Mathematics is 86.4°.The total of all marks is 72 + 84 + 96 + 80 + 68 = 400. A sector's angle is its share of 360°:\[ \theta = \frac{96}{400} \times 360^\circ = 86{\cdot}4^\circ \]75.6° is the angle for Hindi (84 marks), 72° would be 80 marks out of 400, which is Science, and 64.8° is the angle for English (72 marks).

Q: In class III, 150 children were asked to name their one favourite fruit and results for 5 favourite fruits were written in the form of the following table :Name of the FruitNumber of ChildrenApple28Guava26Mangoes44Banana14Grapes28Choose the correct option :

The correct statement is Ten children do not like any fruit given in the table.Add the children in the table:\[ 28 + 26 + 44 + 14 + 28 = 140 \]150 children were asked, so 150 − 140 = 10 children named some other fruit.The other statements fail on the numbers. Apple (28) and Guava (26) are not equal. Grapes minus Banana is 28 − 14 = 14, not 16. Mangoes and Banana together make 44 + 14 = 58, while twice Guava is 2 × 26 = 52, so that is not 'two times' either.

Q: The time spent by a student during a day in different activities is represented by sectors of central angles in a pie chart as given below :School-90°Homework-60°Play-60°Sleep-120°Others-30°What is the difference between the time spent by the student in the activities 'sleep' and 'school'?

The difference is 2 hours.A pie chart for one day represents 24 hours by 360°, so each degree is 24/360 = 1/15 hour. Sleep has 120° and school 90°:\[ \begin{aligned} &(120^{\circ} - 90^{\circ}) \times \frac{24}{360} \\ &= 30 \times \frac{1}{15} = 2 \end{aligned} \]Sleep is 8 hours and school 6 hours. Four hours is the time for play or homework (60°), not the difference asked for; 3 hours would need a gap of 45°, and 1½ hours a gap of 22.5°.

Q: If Red part in the following pie chart is 40, what is White part?PartShare of the pieYellow\( \frac{1}{4} \)Blue\( \frac{1}{8} \)White\( \frac{1}{8} \)Red\( \frac{1}{2} \)

The White part is 10.Red is \( \frac{1}{2} \) of the chart and equals 40, so the whole chart is 80. White is \( \frac{1}{8} \) of the chart:\[ \text{White} = \frac{1}{8} \times 80 = 10 \]As a check, Yellow is 20 and Blue is 10, and \( 40 + 20 + 10 + 10 = 80 \). 20 is the Yellow part, 5 would follow from taking 40 as the whole, and 12 has no basis.

Q: A geometric representation, showing the relationship between a whole and its part, is

It is a pie chart.A pie chart is a circle divided into sectors, each sector's angle proportional to the part it represents (part/whole × 360°). It therefore shows at a glance how a whole is split into its parts, for example how a family's income is spent.A bar graph and a pictograph compare separate quantities side by side, and a histogram shows the frequencies of a grouped continuous variable. None of them is designed to show parts of one whole.

Q: In a class, teacher prepared following table showing colours of eyes of 40 students :Blue eyeBrown eyeBlack eyeBoys5411Girls7310Teacher told four students to write one statement each about this table on black-board. They wrote :(a) Number of boys and girls are equal.(b) Mostly students have black eye.(c) Total number of students having blue eyes is odd.(d) Total number of students having brown eyes is odd.Choose the correct option :

The correct option is (a), (b) and (d) are true but (c) is false.From the table:Boys: 5 + 4 + 11 = 20; girls: 7 + 3 + 10 = 20. So (a) is true.Black eyes: 11 + 10 = 21 of 40, more than half. So (b) is true.Blue eyes: 5 + 7 = 12, an even number. So (c) is false.Brown eyes: 4 + 3 = 7, an odd number. So (d) is true.Option 1 wrongly rejects (d), option 3 wrongly rejects (a) and accepts (c), and option 4 accepts (c) and rejects (d).

Q: A pie chart is constructed for the following data :MonthJanuaryFebruaryMarchAprilMayJuneNumber of computers sold500700840750890820What will be the difference between the central angles of the sectors representing the number of computers sold in March and January ?

The difference is 27.2°.In a pie chart each value's central angle is its share of 360°. The total number of computers sold is\[ 500 + 700 + 840 + 750 + 890 + 820 = 4500 \]March exceeds January by 840 − 500 = 340 computers, so\[ \begin{aligned} \text{difference} &= \frac{340}{4500} \times 360^\circ \\ &= 27.2^\circ \end{aligned} \]Each computer is worth 0.08°. 28.8° would need a difference of 360 computers and 28° one of 350, so a slip in the subtraction or the total gives those options.

Q: The following table shows marks obtained out of 100 by Maria and Shehnaz in five subjects :MariaShehnazEnglish7481Maths8878Social Science6577Hindi7372Science9082Based on the table above identify the correct statement from among the following :

The correct statement is that the aggregate marks of Maria and Shehnaz are equal.\[ \begin{aligned} \text{Maria} &= 74 + 88 + 65 + 73 + 90 = 390 \\ \text{Shehnaz} &= 81 + 78 + 77 + 72 + 82 = 390 \end{aligned} \]The other statements do not match the table. Maria scores more than Shehnaz in Maths, Science and Hindi, three subjects, so 'only two subjects' is wrong. She scores less in Social Science, which is not a language, so 'all subjects except the languages' is wrong, and she scores more in Hindi, which is one. In Maths and Science together Maria has 88 + 90 = 178 against Shehnaz's 78 + 82 = 160, so Shehnaz's aggregate there is not more.

Important Instructions

The following chart gives the percentage of the different subject teachers in a particular school. Total number of teachers is 1600.

Subject	Teachers (%)
Physics	12%
History	14%
Hindi	15%
English	21%
Mathematics	22%
Chemistry	16%

What is the number of male teachers of mathematics if the ratio of mathematics teachers of male to female is 3 : 1 ?

A.352
B.264
C.88
D.176

Exam Year(s)

CBSE Assistant Secretary - 2024,

Answer: B

The number is 264.

Mathematics teachers are 22% of all teachers.

\[ 22\% \text{ of } 1600 = \frac{22}{100} \times 1600 = 352 \]

The male to female ratio is 3 : 1, so males are three of every four mathematics teachers.

\[ \frac{3}{4} \times 352 = 264 \]

There are 264 male mathematics teachers. The option 352 is all the mathematics teachers, 88 is the female share (one quarter of 352) and 176 is half of them.

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Study the table and answer the question. Number of new patients admitted and number of patients discharged in four hospitals A, B, C and D in different months of certain year are given in the table.

Hospitals	August New Admi.	Discharge	September New Admi.	Discharge	October New Admi.	Discharge	November New Admi.	Discharge
A	80	56	64	78	87	69	58	74
B	89	74	88	62	62	77	79	72
C	75	58	59	78	85	88	83	73
D	76	87	86	72	82	68	79	82

During August to October, which hospital has seen the maximum increase in the number of patients ?

Exam Year(s)

CBSE Assistant Secretary - 2024,

Answer: C

The maximum increase was in hospital A.

The change in the number of patients each month is new admissions minus discharges. Adding August, September and October:

A: \((80 - 56) + (64 - 78) + (87 - 69) = 24 - 14 + 18 = 28\)
B: \(15 + 26 - 15 = 26\)
C: \(17 - 19 - 3 = -5\)
D: \(-11 + 14 + 14 = 17\)

Hospital A's net increase of 28 is the largest. B is close at 26, C actually fell, and D rose by 17. November is outside the period asked about.

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Marks obtained by Sunita in her pre-board examination are as follows :

Subject	Marks
English	72
Hindi	84
Mathematics	96
Science	80
Social Science	68

If a pie chart is constructed for the above data, then what will be the angle of the sector representing marks obtained by Sunita in Mathematics ?

A.75·6°
B.72°
C.86·4°
D.64·8°

Exam Year(s)

CTET - 2023,

Answer: C

The angle for Mathematics is 86.4°.

The total of all marks is 72 + 84 + 96 + 80 + 68 = 400. A sector's angle is its share of 360°:

\[ \theta = \frac{96}{400} \times 360^\circ = 86{\cdot}4^\circ \]

75.6° is the angle for Hindi (84 marks), 72° would be 80 marks out of 400, which is Science, and 64.8° is the angle for English (72 marks).

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In class III, 150 children were asked to name their one favourite fruit and results for 5 favourite fruits were written in the form of the following table :

Name of the Fruit	Number of Children
Apple	28
Guava	26
Mangoes	44
Banana	14
Grapes	28

Choose the correct option :

A.Equal number of children have Apple and Guava as their favourite fruit.
B.The difference between the number of childrens who like grapes and those who like bananas is 16.
C.The number of children who like Mangoes and Banana is two times the number of children who like Guava.
D.Ten children do not like any fruit given in the table.

Exam Year(s)

CTET - 2024,

Answer: D

The correct statement is Ten children do not like any fruit given in the table.

Add the children in the table:

\[ 28 + 26 + 44 + 14 + 28 = 140 \]

150 children were asked, so 150 − 140 = 10 children named some other fruit.

The other statements fail on the numbers. Apple (28) and Guava (26) are not equal. Grapes minus Banana is 28 − 14 = 14, not 16. Mangoes and Banana together make 44 + 14 = 58, while twice Guava is 2 × 26 = 52, so that is not 'two times' either.

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The time spent by a student during a day in different activities is represented by sectors of central angles in a pie chart as given below :

School-90°
Homework-60°
Play-60°
Sleep-120°
Others-30°

What is the difference between the time spent by the student in the activities 'sleep' and 'school'?

A.\(1\frac{1}{2}\) hours
B.2 hours
C.3 hours
D.4 hours

Exam Year(s)

CTET - 2024,

Answer: B

The difference is 2 hours.

A pie chart for one day represents 24 hours by 360°, so each degree is 24/360 = 1/15 hour. Sleep has 120° and school 90°:

\[ \begin{aligned} &(120^{\circ} - 90^{\circ}) \times \frac{24}{360} \\ &= 30 \times \frac{1}{15} = 2 \end{aligned} \]

Sleep is 8 hours and school 6 hours. Four hours is the time for play or homework (60°), not the difference asked for; 3 hours would need a gap of 45°, and 1½ hours a gap of 22.5°.

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If Red part in the following pie chart is 40, what is White part?

Part	Share of the pie
Yellow	\( \frac{1}{4} \)
Blue	\( \frac{1}{8} \)
White	\( \frac{1}{8} \)
Red	\( \frac{1}{2} \)

A.5
B.10
C.12
D.20

Exam Year(s)

CTET - 2018,

Answer: B

The White part is 10.

Red is \( \frac{1}{2} \) of the chart and equals 40, so the whole chart is 80. White is \( \frac{1}{8} \) of the chart:

\[ \text{White} = \frac{1}{8} \times 80 = 10 \]

As a check, Yellow is 20 and Blue is 10, and \( 40 + 20 + 10 + 10 = 80 \). 20 is the Yellow part, 5 would follow from taking 40 as the whole, and 12 has no basis.

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A geometric representation, showing the relationship between a whole and its part, is

A.histogram
B.pie chart
C.bar graph
D.pictograph

Exam Year(s)

CTET - 2018,

Answer: B

It is a pie chart.

A pie chart is a circle divided into sectors, each sector's angle proportional to the part it represents (part/whole × 360°). It therefore shows at a glance how a whole is split into its parts, for example how a family's income is spent.

A bar graph and a pictograph compare separate quantities side by side, and a histogram shows the frequencies of a grouped continuous variable. None of them is designed to show parts of one whole.

Discuss in Forum

In a class, teacher prepared following table showing colours of eyes of 40 students :

	Blue eye	Brown eye	Black eye
Boys	5	4	11
Girls	7	3	10

Teacher told four students to write one statement each about this table on black-board. They wrote :

(a) Number of boys and girls are equal.
(b) Mostly students have black eye.
(c) Total number of students having blue eyes is odd.
(d) Total number of students having brown eyes is odd.

Choose the correct option :

A.(a), (b) are true but (c), (d) are false.
B.(a), (b) and (d) are true but (c) is false.
C.(b) and (c) are true but (a) and (d) are false.
D.(a), (b), (c) are true but (d) is false .

Exam Year(s)

CTET - 2026,

Answer: B

The correct option is (a), (b) and (d) are true but (c) is false.

From the table:

Boys: 5 + 4 + 11 = 20; girls: 7 + 3 + 10 = 20. So (a) is true.
Black eyes: 11 + 10 = 21 of 40, more than half. So (b) is true.
Blue eyes: 5 + 7 = 12, an even number. So (c) is false.
Brown eyes: 4 + 3 = 7, an odd number. So (d) is true.

Option 1 wrongly rejects (d), option 3 wrongly rejects (a) and accepts (c), and option 4 accepts (c) and rejects (d).

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A pie chart is constructed for the following data :

Month	January	February	March	April	May	June
Number of computers sold	500	700	840	750	890	820

What will be the difference between the central angles of the sectors representing the number of computers sold in March and January ?

A.28.8°
B.29°
C.27.2°
D.28°

Exam Year(s)

CTET - 2026,

Answer: C

The difference is 27.2°.

In a pie chart each value's central angle is its share of 360°. The total number of computers sold is

\[ 500 + 700 + 840 + 750 + 890 + 820 = 4500 \]

March exceeds January by 840 − 500 = 340 computers, so

\[ \begin{aligned} \text{difference} &= \frac{340}{4500} \times 360^\circ \\ &= 27.2^\circ \end{aligned} \]

Each computer is worth 0.08°. 28.8° would need a difference of 360 computers and 28° one of 350, so a slip in the subtraction or the total gives those options.

Discuss in Forum

10.

The following table shows marks obtained out of 100 by Maria and Shehnaz in five subjects :

	Maria	Shehnaz
English	74	81
Maths	88	78
Social Science	65	77
Hindi	73	72
Science	90	82

Based on the table above identify the correct statement from among the following :

A.Maria has scored more marks than Shehnaz in all the subjects except the languages.
B.Maria has scored more marks than Shehnaz in only two subjects.
C.Shehnaz's aggregate marks in Maths and Science are more than Maria's aggregate marks in these subjects.
D.The aggregate marks of Maria and Shehnaz are equal.

Exam Year(s)

CTET - 2021,

Answer: D

The correct statement is that the aggregate marks of Maria and Shehnaz are equal.

\[ \begin{aligned} \text{Maria} &= 74 + 88 + 65 + 73 + 90 = 390 \\ \text{Shehnaz} &= 81 + 78 + 77 + 72 + 82 = 390 \end{aligned} \]

The other statements do not match the table. Maria scores more than Shehnaz in Maths, Science and Hindi, three subjects, so 'only two subjects' is wrong. She scores less in Social Science, which is not a language, so 'all subjects except the languages' is wrong, and she scores more in Hindi, which is one. In Maths and Science together Maria has 88 + 90 = 178 against Shehnaz's 78 + 82 = 160, so Shehnaz's aggregate there is not more.

Discuss in Forum

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Tags: Data Interpretation Questions and Answers || DI MCQ Questions || Data Analysis Quantitative Aptitude || Data Interpretation GK Questions || DI on Quantitative Aptitude

Hospitals	August New Admi.	Discharge	September New Admi.	Discharge	October New Admi.	Discharge	November New Admi.	Discharge
A	80	56	64	78	87	69	58	74
B	89	74	88	62	62	77	79	72
C	75	58	59	78	85	88	83	73
D	76	87	86	72	82	68	79	82

Hospitals	August New Admi.	Discharge	September New Admi.	Discharge	October New Admi.	Discharge	November New Admi.	Discharge
A	80	56	64	78	87	69	58	74
B	89	74	88	62	62	77	79	72
C	75	58	59	78	85	88	83	73
D	76	87	86	72	82	68	79	82

Data Interpretation Questions and Answers

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Tags: Data Interpretation Questions and Answers || DI MCQ Questions || Data Analysis Quantitative Aptitude || Data Interpretation GK Questions || DI on Quantitative Aptitude

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Hospitals	August New Admi.	Discharge	September New Admi.	Discharge	October New Admi.	Discharge	November New Admi.	Discharge
A	80	56	64	78	87	69	58	74
B	89	74	88	62	62	77	79	72
C	75	58	59	78	85	88	83	73
D	76	87	86	72	82	68	79	82