Bar Chart
Name: _____________________
Date: _____________________
Instructions: Answer all questions. Write your answers clearly in the space provided.
Directions (1 - 4): Study the graph and answer the questions: The bar chart give
The percent increase in population from 1991 to 2001 is:
In which census year, the per cent increase in population is highest as compared to that in the previous census year?
In which census year, the per cent increase in population is least as compared to that in the previous census year?
Per year increase in population from the year 1951 to 2001 is
Directions (1 - 5): study the following pie chart and bar diagram and answer the following questions. Percentage-wise Distribution of students in 6 Different Schools. Total number of students = 6000. Number of Boys in Each School Out of 6000 Student
What is the ratio of the number of boys in school C, the number of girls in school B and the total number of students in school E?
The number of girls school A is approximately what percentage of the total number of students in school B?
What is the sum of the number of girls in school C, the number of girls in school E and the number of boys in school D together?
What is the difference between the total number of students in school F and the number of boys in school E?
In which of the following schools is the total number of students equal to the number of girls in school E?
Direction (1 - 5): 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?
What was the speed of vehicles C on Day 2 in terms of metres per second ?
What is the ratio of the speeds of vehicle D and vehicle E on Day 2?
What was the difference between the speed of vehicles A on Day 1 and the speed of vehicles C on the same day ?
The distance travelled by vehicle F on Day 2 was approximately what percent of the distance travelled by it on Day 1?
Directions (1 - 5): 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?
What was the percentage increase in export from 2006 to 2007 ?
The average export of pearls for the given period (in Rs. crores) was ?
In which of the following pairs of years was the average export of pearls around Rs. 9 crores?
In which year was there maximum percentage increase in export of pearls to that in the previous year?
Directions (1 - 4) The following bar chart gives the growth percentage in the number of households in middle, upper-middle and high-income categories in the four regions for the period between 1987-88 and 1994-95.
Which region showed the highest growth in number of households in all the income categories for the period ?
What was the total household income in northern region for upper-middle class ?
What is the percentage increase in total number of households for the northern region (upper-middle) over the given period ?
What was the average income of the high-income group in 1987-88?
Directions (1 - 5): 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 appeared to the number of students qualified at the scholarship exam from School C?
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?
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?
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).
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?
Direction (1 - 3) : The following is a multiple bar chart showing men's and women's average daily earnings in certain industries. Study the chart and answer the questions given below.
In which year is the percentage increase in the average daily earnings of men over the preceding year, the maximum ?
The difference between the average daily earnings of men and women over successive years :
In which year is the ratio of men's average daily earnings to women's average daily earnings is the highest ?
Directions (1 - 5): The cumulative bar chart below gives us the production of four Products A, B, C and D for four years. It is known that the total production increases @20% over its value in the previous year. The difference between C's production in 2003 and A's production in 2001 is 2640 units. Production of A, B, C and D.
Which of the following is Not true?
Directions (1 - 5): Study the graph and answer the questions:
What was the increase in registration of vehicles other than Cars from January to April 1991?
What is the difference between the number of cars registered in January and those registered in June?
Which was the following month was the registration of vehicles other than Cars maximum?
What was the number of vehicles other than Cars registered in March, 1991?
What was the percentage increase in registration of Cars from February to March 1991?
Directions (1 - 3) : Purana and Naya two brand of mixer-grinder available in the market. Purana was introduced in 1990 and Naya was introduced in 1997. For both brands, 20% of the mixer-grinder bought in a particular year are disposed off as junk exactly two year later. It is known that 10 Purana mixer-grinder were disposed off in 1997. The following chart show the operation from 1995 to 2000, as at end of the year.
How many Naya mixer-grinder disposed off by end of 2000 ?
How many Naya mixer-grinders were purchased in 1999?
How many Purana mixer-grinder disposed off in 2000?
If the price of B is Rs. 125 per unit, what is the sales revenue in the same year due to sale of B (in Rupees Lakhs)?
Assuming no pile up of inventory at the beginning or the end of the year, what is the ratio of the number of units of C produced in these four years?
If the price of four products is in ratio of 3 : 5 : 7 : 8, what is the ratio of the ratio of the revenue generated by these products in 2002?
If due to extra set up time required, the production in 2001 drops by 12.5% over that in 2000, what should be the growth rate of production in 2002 to maintain the compounded annual growth rate (CAGR) of 20% (Approx)?
Answer Key
& = frac{40.5}{50} ext{ crores} cr
& = frac{40.5 imes10000000}{50} cr
& = 8100000 cr} $$
& ext{Number of students in:} cr
& ext{A → } frac{12}{100} imes6000 = 720 cr
& ext{B → } frac{9}{100} imes6000 = 540 cr
& ext{C → } frac{26}{100} imes6000 = 1560 cr
& ext{D → } frac{18}{100} imes6000 = 1080 cr
& ext{E → } frac{29}{100} imes6000 = 1740 cr
& ext{F → } frac{6}{100} imes6000 = 360 cr} $$ Number of boys in: A → 500 B → 400 C → 900 D → 600 E → 1200 F → 100 Number of girls in: A → 720 - 500 = 220 B → 540 - 400 = 140 C → 1560 - 900 = 660 D → 1080 - 600 = 480 E → 1740 - 1200 = 540 F → 360 - 100 = 260 Required ratio = 900 : 140 : 1740 = 90 : 14 : 174 = 45 : 7 : 87
& ext{Number of students in:} cr
& ext{A → } frac{12}{100} imes6000 = 720 cr
& ext{B → } frac{9}{100} imes6000 = 540 cr
& ext{C → } frac{26}{100} imes6000 = 1560 cr
& ext{D → } frac{18}{100} imes6000 = 1080 cr
& ext{E → } frac{29}{100} imes6000 = 1740 cr
& ext{F → } frac{6}{100} imes6000 = 360 cr} $$ Number of boys in: A → 500 B → 400 C → 900 D → 600 E → 1200 F → 100 Number of girls in: A → 720 - 500 = 220 B → 540 - 400 = 140 C → 1560 - 900 = 660 D → 1080 - 600 = 480 E → 1740 - 1200 = 540 F → 360 - 100 = 260 Let (number of girls in A) be $$x$$% of number of students in B. Then, $$eqalign{
& 220 = frac{x}{100} imes540 cr
& Rightarrow x = frac{220 imes100}{540} cr
& Rightarrow x = frac{1100}{27} cr
& Rightarrow x = 40.7 cr
& Rightarrow x approx 40\% cr} $$
& ext{Number of students in:} cr
& ext{A → } frac{12}{100} imes6000 = 720 cr
& ext{B → } frac{9}{100} imes6000 = 540 cr
& ext{C → } frac{26}{100} imes6000 = 1560 cr
& ext{D → } frac{18}{100} imes6000 = 1080 cr
& ext{E → } frac{29}{100} imes6000 = 1740 cr
& ext{F → } frac{6}{100} imes6000 = 360 cr} $$ Number of boys in: A → 500 B → 400 C → 900 D → 600 E → 1200 F → 100 Number of girls in: A → 720 - 500 = 220 B → 540 - 400 = 140 C → 1560 - 900 = 660 D → 1080 - 600 = 480 E → 1740 - 1200 = 540 F → 360 - 100 = 260 Required sum = 660 + 540 + 600 = 1800
& ext{Number of students in:} cr
& ext{A → } frac{12}{100} imes6000 = 720 cr
& ext{B → } frac{9}{100} imes6000 = 540 cr
& ext{C → } frac{26}{100} imes6000 = 1560 cr
& ext{D → } frac{18}{100} imes6000 = 1080 cr
& ext{E → } frac{29}{100} imes6000 = 1740 cr
& ext{F → } frac{6}{100} imes6000 = 360 cr} $$ Number of boys in: A → 500 B → 400 C → 900 D → 600 E → 1200 F → 100 Number of girls in: A → 720 - 500 = 220 B → 540 - 400 = 140 C → 1560 - 900 = 660 D → 1080 - 600 = 480 E → 1740 - 1200 = 540 F → 360 - 100 = 260 (Number of boys in E) - (Number of students in F) = 1200 - 360 = 840
& ext{Number of students in:} cr
& ext{A → } frac{12}{100} imes6000 = 720 cr
& ext{B → } frac{9}{100} imes6000 = 540 cr
& ext{C → } frac{26}{100} imes6000 = 1560 cr
& ext{D → } frac{18}{100} imes6000 = 1080 cr
& ext{E → } frac{29}{100} imes6000 = 1740 cr
& ext{F → } frac{6}{100} imes6000 = 360 cr} $$ Number of boys in: A → 500 B → 400 C → 900 D → 600 E → 1200 F → 100 Number of girls in: A → 720 - 500 = 220 B → 540 - 400 = 140 C → 1560 - 900 = 660 D → 1080 - 600 = 480 E → 1740 - 1200 = 540 F → 360 - 100 = 260 Number of girls in School E = 540 = Total number of students in B
& ext{Speeds of vehicles on Day 1:} cr
& ext{A → } frac{832}{16} ext{ km/hr}= ext{52 km/hr} cr
& ext{B → } frac{516}{12} ext{ km/hr}= ext{43 km/hr} cr
& ext{C → } frac{693}{11} ext{ km/hr}= ext{63 km/hr} cr
& ext{D → } frac{552}{12} ext{ km/hr}= ext{46 km/hr} cr
& ext{E → } frac{935}{17} ext{ km/hr}= ext{55 km/hr} cr
& ext{F → } frac{703}{19} ext{ km/hr}= ext{37 km/hr} cr
& cr
& ext{Speed of vehicles on Day 2:} cr
& ext{A → } frac{864}{16} ext{ km/hr}= ext{54 km/hr} cr
& ext{B → } frac{774}{18} ext{ km/hr}= ext{43 km/hr} cr
& ext{C → } frac{810}{18} ext{ km/hr}= ext{45 km/hr} cr
& ext{D → } frac{765}{15} ext{ km/hr}= ext{51 km/hr} cr
& ext{E → } frac{546}{14} ext{ km/hr}= ext{39 km/hr} cr
& ext{F → } frac{636}{12} ext{ km/hr}= ext{53 km/hr} cr} $$ Clearly B travelled at the same speed on both the days.
& ext{Speeds of vehicles on Day 1:} cr
& ext{A → } frac{832}{16} ext{ km/hr}= ext{52 km/hr} cr
& ext{B → } frac{516}{12} ext{ km/hr}= ext{43 km/hr} cr
& ext{C → } frac{693}{11} ext{ km/hr}= ext{63 km/hr} cr
& ext{D → } frac{552}{12} ext{ km/hr}= ext{46 km/hr} cr
& ext{E → } frac{935}{17} ext{ km/hr}= ext{55 km/hr} cr
& ext{F → } frac{703}{19} ext{ km/hr}= ext{37 km/hr} cr
& cr
& ext{Speed of vehicles on Day 2:} cr
& ext{A → } frac{864}{16} ext{ km/hr}= ext{54 km/hr} cr
& ext{B → } frac{774}{18} ext{ km/hr}= ext{43 km/hr} cr
& ext{C → } frac{810}{18} ext{ km/hr}= ext{45 km/hr} cr
& ext{D → } frac{765}{15} ext{ km/hr}= ext{51 km/hr} cr
& ext{E → } frac{546}{14} ext{ km/hr}= ext{39 km/hr} cr
& ext{F → } frac{636}{12} ext{ km/hr}= ext{53 km/hr} cr} $$ $$eqalign{
& ext{Speed of C on Day 2} cr
& = 45 ext{ km/hr} cr
& = left(45 imesfrac{5}{18}
ight) ext{m/sec} cr
& = frac{25}{2} ext{ m/s} cr
& = 12.5 ext{ m/s} cr} $$
& ext{Speeds of vehicles on Day 1:} cr
& ext{A → } frac{832}{16} ext{ km/hr}= ext{52 km/hr} cr
& ext{B → } frac{516}{12} ext{ km/hr}= ext{43 km/hr} cr
& ext{C → } frac{693}{11} ext{ km/hr}= ext{63 km/hr} cr
& ext{D → } frac{552}{12} ext{ km/hr}= ext{46 km/hr} cr
& ext{E → } frac{935}{17} ext{ km/hr}= ext{55 km/hr} cr
& ext{F → } frac{703}{19} ext{ km/hr}= ext{37 km/hr} cr
& cr
& ext{Speed of vehicles on Day 2:} cr
& ext{A → } frac{864}{16} ext{ km/hr}= ext{54 km/hr} cr
& ext{B → } frac{774}{18} ext{ km/hr}= ext{43 km/hr} cr
& ext{C → } frac{810}{18} ext{ km/hr}= ext{45 km/hr} cr
& ext{D → } frac{765}{15} ext{ km/hr}= ext{51 km/hr} cr
& ext{E → } frac{546}{14} ext{ km/hr}= ext{39 km/hr} cr
& ext{F → } frac{636}{12} ext{ km/hr}= ext{53 km/hr} cr} $$ $$eqalign{
& ext{Required ratio} cr
& = frac{ ext{Speed of D on Day 2}}{ ext{Speed of E on Day 2}} cr
& = frac{51}{39} cr
& = frac{17}{13} cr
& = 17 : 13 cr} $$
& ext{Speeds of vehicles on Day 1:} cr
& ext{A → } frac{832}{16} ext{ km/hr}= ext{52 km/hr} cr
& ext{B → } frac{516}{12} ext{ km/hr}= ext{43 km/hr} cr
& ext{C → } frac{693}{11} ext{ km/hr}= ext{63 km/hr} cr
& ext{D → } frac{552}{12} ext{ km/hr}= ext{46 km/hr} cr
& ext{E → } frac{935}{17} ext{ km/hr}= ext{55 km/hr} cr
& ext{F → } frac{703}{19} ext{ km/hr}= ext{37 km/hr} cr
& cr
& ext{Speed of vehicles on Day 2:} cr
& ext{A → } frac{864}{16} ext{ km/hr}= ext{54 km/hr} cr
& ext{B → } frac{774}{18} ext{ km/hr}= ext{43 km/hr} cr
& ext{C → } frac{810}{18} ext{ km/hr}= ext{45 km/hr} cr
& ext{D → } frac{765}{15} ext{ km/hr}= ext{51 km/hr} cr
& ext{E → } frac{546}{14} ext{ km/hr}= ext{39 km/hr} cr
& ext{F → } frac{636}{12} ext{ km/hr}= ext{53 km/hr} cr} $$ Difference between the speed of A on Day 1 and speed of C on Day 1 = (63 - 52) km/hr = 11 km/hr
& ext{Speeds of vehicles on Day 1:} cr
& ext{A → } frac{832}{16} ext{ km/hr}= ext{52 km/hr} cr
& ext{B → } frac{516}{12} ext{ km/hr}= ext{43 km/hr} cr
& ext{C → } frac{693}{11} ext{ km/hr}= ext{63 km/hr} cr
& ext{D → } frac{552}{12} ext{ km/hr}= ext{46 km/hr} cr
& ext{E → } frac{935}{17} ext{ km/hr}= ext{55 km/hr} cr
& ext{F → } frac{703}{19} ext{ km/hr}= ext{37 km/hr} cr
& cr
& ext{Speed of vehicles on Day 2:} cr
& ext{A → } frac{864}{16} ext{ km/hr}= ext{54 km/hr} cr
& ext{B → } frac{774}{18} ext{ km/hr}= ext{43 km/hr} cr
& ext{C → } frac{810}{18} ext{ km/hr}= ext{45 km/hr} cr
& ext{D → } frac{765}{15} ext{ km/hr}= ext{51 km/hr} cr
& ext{E → } frac{546}{14} ext{ km/hr}= ext{39 km/hr} cr
& ext{F → } frac{636}{12} ext{ km/hr}= ext{53 km/hr} cr} $$ $$eqalign{
& ext{Required %} cr
& = left(frac{636}{703} imes100
ight)\% cr
& = frac{63600}{703}\% cr
& = 90.46\% cr
& approx 90\% cr} $$
& = left(frac{11.4-9.5}{9.5} imes100
ight)\% cr
& = left(frac{1.9}{9.5} imes100
ight)\% cr
& = left(frac{19}{95} imes100
ight)\% cr
& = 20\% cr} $$
ight)
ight} ext{crores}$$ $$eqalign{
& = frac{61.1}{7} ext{ crores} cr
& = 8.728 ext{ crores} cr
& = ext{Rs. }8.73 ext{ crores} cr} $$
& ext{Average export in 2003 and 2004} cr
& = frac{7.8+9.9}{2} ext{ crores} cr
& = frac{17.7}{2} ext{ crores} cr
& = ext{Rs. }8.85 ext{ crores} cr
& approx ext{Rs. }9 ext{ crores} cr} $$
& ext{Increase % in various years} cr
& 2002 → left{frac{left(6.5-5.2
ight)}{5.2} imes100
ight}\% cr
& ,,,,,,,,,,,,, = left(frac{1.3}{5.2} imes100
ight)\% cr
& ,,,,,,,,,,,,, = left(frac{13}{52} imes100
ight)\% cr
& ,,,,,,,,,,,,, = 25\% cr
cr
& 2003 → left{frac{left(7.8-6.5
ight)}{6.5} imes100
ight}\% cr
& ,,,,,,,,,,,,, = left(frac{1.3}{6.5} imes100
ight)\% cr
& ,,,,,,,,,,,,, = left(frac{13}{65} imes100
ight)\% cr
& ,,,,,,,,,,,,, = 20\% cr
cr
& 2004 → left{frac{left(9.9-7.8
ight)}{7.8} imes100
ight}\% cr
& ,,,,,,,,,,,,, = left(frac{2.1}{7.8} imes100
ight)\% cr
& ,,,,,,,,,,,,, = left(frac{21}{78} imes100
ight)\% cr
& ,,,,,,,,,,,,, = 26.9\% cr
cr
& 2005 → left{frac{left(10.8-9.9
ight)}{9.9} imes100
ight}\% cr
& ,,,,,,,,,,,,, = left(frac{0.9}{9.9} imes100
ight)\% cr
& ,,,,,,,,,,,,, = left(frac{9}{99} imes100
ight)\% cr
& ,,,,,,,,,,,,, = frac{100}{11}\% cr
& ,,,,,,,,,,,,, = 9.090\% cr
cr
& 2007 → left{frac{left(11.4-9.5
ight)}{9.5} imes100
ight}\% cr
& ,,,,,,,,,,,,, = left(frac{1.9}{9.5} imes100
ight)\% cr
& ,,,,,,,,,,,,, = left(frac{19}{95} imes100
ight)\% cr
& ,,,,,,,,,,,,, = 20\% cr
& cr } $$ Clearly, the maximum increase was in 2004
& = frac{3250}{2250} cr
& = frac{13}{9} cr
& = 13:9 cr} $$
& = frac{1750}{1250} cr
& = frac{7}{5} cr
& = 7:5 cr} $$
& = frac{1}{2}left(2250+2000
ight) cr
& = frac{4250}{2} cr
& = 2125 cr} $$ Average number of students appeared from C and D $$eqalign{
& = frac{1}{2}left(3250+2500
ight) cr
& = frac{5750}{2} cr
& = 2875 cr
& herefore ext{ Required %} cr
& = left(frac{2125}{2875} imes100
ight)\% cr
& = left(frac{85}{115} imes100
ight)\% cr
& = frac{1700}{23}\% cr
& = 73.91\% cr} $$
ight)\%$$ $$eqalign{
& = left(frac{2500}{14000} imes100
ight)\% cr
& = frac{125}{7}\% cr
& approx 18\% cr} $$
& ext{% increase in 2004,} cr
& = frac{66.90-59.50}{59.50} imes100 cr
& = 12.44\% cr
& cr
& ext{% increase in 2003,} cr
& = frac{59.50-48.60}{48.60} imes100 cr
& = 22.43\% cr
& cr
& ext{% increase in 2002,} cr
& = frac{48.60-40.90}{40.90} imes100 cr
& = 18.83\% cr
& cr
& ext{% increase in 2001,} cr
& = frac{40.90-35.80}{35.80} imes100 cr
& = 14.25\% cr
& cr} $$ Thus, maximum increase in daily earning of men over preceding year is in 2003
= 35.8 - 18.3 = 17.5
Difference between earning of man and women in 2001,
= 40.90 - 21.10 = 19.8 Difference between earning of man and women in 2002, = 48.60 - 27.0 = 21.6 Difference between earning of man and women in 2003, = 59.50 - 34.20 = 25.3 Difference between earning of man and women in 2004, = 66.90 - 40.60 = 26.3 pattern show, its increasing.
Hence, increased = 15 - 6 = 9 thousand
ight) imes100}{15}$$ = 0%
Then, In 2000, 20% of 50 disposed off = 10. Similarly, number of mixer grinder purchased in 1997 is 25. Number of mixer-grinder disposed in 1999 = 20% of 25 = 5. Total number of mixer-grinder disposed off at end of 2000 = 10 + 5 = 15
Then,
0.2 × 17280 - 0.2 × 12000 = 1056 But this difference is given as 2640. Hence, the value of production will be
25000, 30000, 36000, and 43200 respectively for the 4 years. ∴ Revenue = 125 × 0.4 × 30000 = 1500000
Then,
0.2 × 17280 - 0.2 × 12000 = 1056 But this difference is given as 2640. Hence, the value of production will be
25000, 30000, 36000, and 43200 respectively for the 4 years. Ratio of the number of units C produced in four year, = 0.2 × 25000 : 0.2 × 30000 : 0.2 × 36000 : 0.2 × 43200 = 250 : 300 : 360 : 432 = 175 : 150 : 180 : 216
Then, 0.2 × 17280 - 0.2 × 12000 = 1056 But this difference is given as 2640. Hence, the value of production will be
25000, 30000, 36000, and 43200 respectively for the 4 years. Ratio of revenue generated in 2002, = 2 × 3 : 4 × 5 : 2 × 7 : 2 × 8 = 6 : 20 : 14 : 16 = 3 : 10 : 7 : 8
25000, 30000, 36000, and 43200 respectively for the 4 years. Growth rate of production = $$frac{left(144-87.5
ight) imes100}{87.5}$$ = 65% (approx)