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Home > Practice > Data Interpretation > Bar Graphs > Miscellaneous

31. Study the following graph carefully and answer the questions given below:
Total Number of Students Appeared and Qualified from Various Schools at a Scholarship Exam.

What is the difference between the average number of students appeared in the scholarship exam from all the given schools and the average number of students qualified from all the school together?

A. 950

B. 1100

C. 990

D. 1020

Discuss

Solution:

Average number of students appeared from all the schools
=

\frac{1}{5}

(3000 + 2250 + 3250 + 2500 + 3000)
=

\frac{14000}{5}

= 2800
Average number of students qualified from all the schools
=

\frac{1}{5}

(1750 + 1250 + 2250 + 2000 + 2000)
=

\frac{9250}{5}

= 1850
∴ Required difference
= 2800 - 1850
= 950

32. Study the following graph carefully and answer the questions given below:
Total Number of Students Appeared and Qualified from Various Schools at a Scholarship Exam.

What is the ratio of the number of students qualified in the scholarship examination from School A and the number of students qualified in the examination from School B?

A. 8 : 3

B. 5 : 7

C. 7 : 3

D. 7 : 5

Discuss

Solution:

(Number of students qualified from A) : (Number of students qualified from B)

\begin{aligned} = \frac{1750}{1250} \\ = \frac{7}{5} \\ = 7 : 5 \end{aligned}

33. Study the following graph carefully and answer the questions given below:
Total Number of Students Appeared and Qualified from Various Schools at a Scholarship Exam.

The average number of students qualified in the examination from Schools C and D is what percent of the average number of students appeared for the examination from the same school? ( round off to 2 digits after decimal).

A. 58.62%

B. 73.91%

C. 62.58%

D. 58.96%

Discuss

Solution:

Average number of students qualified from C and D

\begin{aligned} = \frac{1}{2} (2250 + 2000) \\ = \frac{4250}{2} \\ = 2125 \end{aligned}

Average number of students appeared from C and D

\begin{aligned} = \frac{1}{2} (3250 + 2500) \\ = \frac{5750}{2} \\ = 2875 \\ ∴ Required % \\ = (\frac{2125}{2875} \times 100) % \\ = (\frac{85}{115} \times 100) % \\ = \frac{1700}{23} % \\ = 73.91 % \end{aligned}

34. Study the following graph carefully and answer the questions given below:
Total Number of Students Appeared and Qualified from Various Schools at a Scholarship Exam.

The number of students appeared for the scholarship exam from School D is approximately what percent of the total number of students appeared for the exam from all the school together?

A. 12%

B. 24%

C. 29%

D. 18%

Discuss

Solution:

Required %

= (\frac{2500}{3000 + 2250 + 3250 + 2500 + 3000} \times 100) %

\begin{aligned} = (\frac{2500}{14000} \times 100) % \\ = \frac{125}{7} % \\ \approx 18 % \end{aligned}

35. Study the following bar-graph carefully and answer the questions given below:

In how many years was the export above average for the given period?

A. 2 years

B. 4 years

C. 5 years

D. 3 years

Discuss

Solution:

Average export during the given period = Rs. 8.73 crores.
If was above average in 2004, 2005, 2006 and 2007.
i.e. in 4 years

36. Study the following bar-graph carefully and answer the questions given below:

What was the percentage increase in export from 2006 to 2007 ?

A. $16 \frac{2}{3}$ %

B. 19%

C. 20%

D. $33 \frac{1}{3}$

Discuss

Solution:

Percentage increase in export from 2006 to 2007.

\begin{aligned} = (\frac{11.4 - 9.5}{9.5} \times 100) % \\ = (\frac{1.9}{9.5} \times 100) % \\ = (\frac{19}{95} \times 100) % \\ = 20 % \end{aligned}

37. Study the following bar-graph carefully and answer the questions given below:

The average export of pearls for the given period (in Rs. crores) was ?

A. 8.7 crores

B. 8.73 crores

C. 9.73 crores

D. 8.85 crores

Discuss

Solution:

Average export of pearls over the period

= {\frac{1}{7} (5.2 + 6.5 + 7.8 + 9.9 + 10.8 + 9.5 + 11.4)} crores

\begin{aligned} = \frac{61.1}{7} crores \\ = 8.728 crores \\ = Rs. 8.73 crores \end{aligned}

38. Study the following bar-graph carefully and answer the questions given below:

In which of the following pairs of years was the average export of pearls around Rs. 9 crores?

A. 2002 and 2003

B. 2003 and 2004

C. 2004 and 2005

D. 2005 and 2006

Discuss

Solution:

\begin{aligned} Average export in 2003 and 2004 \\ = \frac{7.8 + 9.9}{2} crores \\ = \frac{17.7}{2} crores \\ = Rs. 8.85 crores \\ \approx Rs. 9 crores \end{aligned}

39. Study the following bar-graph carefully and answer the questions given below:

In which year was there maximum percentage increase in export of pearls to that in the previous year?

A. 2002

B. 2007

C. 2005

D. 2004

Discuss

Solution:

\begin{aligned} Increase % in various years \\ 2002 \to {\frac{(6.5 - 5.2)}{5.2} \times 100} % \\ = (\frac{1.3}{5.2} \times 100) % \\ = (\frac{13}{52} \times 100) % \\ = 25 % \\ 2003 \to {\frac{(7.8 - 6.5)}{6.5} \times 100} % \\ = (\frac{1.3}{6.5} \times 100) % \\ = (\frac{13}{65} \times 100) % \\ = 20 % \\ 2004 \to {\frac{(9.9 - 7.8)}{7.8} \times 100} % \\ = (\frac{2.1}{7.8} \times 100) % \\ = (\frac{21}{78} \times 100) % \\ = 26.9 % \\ 2005 \to {\frac{(10.8 - 9.9)}{9.9} \times 100} % \\ = (\frac{0.9}{9.9} \times 100) % \\ = (\frac{9}{99} \times 100) % \\ = \frac{100}{11} % \\ = 9.090 % \\ 2007 \to {\frac{(11.4 - 9.5)}{9.5} \times 100} % \\ = (\frac{1.9}{9.5} \times 100) % \\ = (\frac{19}{95} \times 100) % \\ = 20 % \end{aligned}

Clearly, the maximum increase was in 2004

40. Study the following bar graph and the table carefully and answer the questions given below:
Time Taken (in hours) by 6 Vehicles on Two Different Days

Distance Covered (in km) by 6 Vehicles on Each Day

Vehicles Day 1 Day 2

A 832 864

B 516 774

C 693 810

D 552 765

E 935 546

F 703 636

Which of the following vehicles travelled at the same speed on both the days?

A. A

B. C

C. F

D. B

Discuss

Solution:

\begin{aligned} Speeds of vehicles on Day 1: \\ A → \frac{832}{16} km/hr = 52 km/hr \\ B → \frac{516}{12} km/hr = 43 km/hr \\ C → \frac{693}{11} km/hr = 63 km/hr \\ D → \frac{552}{12} km/hr = 46 km/hr \\ E → \frac{935}{17} km/hr = 55 km/hr \\ F → \frac{703}{19} km/hr = 37 km/hr \\ Speed of vehicles on Day 2: \\ A → \frac{864}{16} km/hr = 54 km/hr \\ B → \frac{774}{18} km/hr = 43 km/hr \\ C → \frac{810}{18} km/hr = 45 km/hr \\ D → \frac{765}{15} km/hr = 51 km/hr \\ E → \frac{546}{14} km/hr = 39 km/hr \\ F → \frac{636}{12} km/hr = 53 km/hr \end{aligned}

Clearly B travelled at the same speed on both the days.

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Hashtable

Vehicles	Day 1	Day 2
A	832	864
B	516	774
C	693	810
D	552	765
E	935	546
F	703	636