Line Graphs Questions - 4

#Directions (Q31 to Q35): Study the following Graph carefully and answer the questions given below.

Which state produced the highest quantity of wheat over the period and in what quantity? (1000 Tons)
• B 550
• F 750
• D 750
• E 875
• F 825
Explanation

F => 300 + 250 + 325 = 875 thousand tons.

Workspace

Which state recorded the highest percentage of increase in production from its previous year ?
• B in 2014
• B in 2015
• F in 2015
• D in 2015
• F in 2014
Explanation

Production in State B in 2014 = 125 thousand tons, in 2015 = 250 thousand tons.

Increase = 250 â€“ 125 = 125 thousand tons.

Increase% = $\displaystyle \frac{125}{125} \times$ 100 = 100%.

Therefore by State B in 2015.

Workspace

Which state has produced exactly average of the production by all the states taken together in the year 2013 ?
• A
• B
• C
• D
• E
Explanation

Average = $\displaystyle \frac{\text{Total production}}{\text{Number of years}} => \frac{1200}{5}$ = 200 thousand tons.

State => C.

Workspace

What percent of production by state A and state B put together is the production of wheat by state C and E put together ?
• 50%
• 170%
• 155%
• 180%
• 130%
Explanation

Production State A + State B = 475 + 525 = 1000 thousand tons.

Production State C + State E = 550 + 750 = 1300 thousand tons.

Percentage = $\displaystyle \frac{1300}{1000} \times$ 100 = 130%.

Workspace

What is the average production in the given years ? (in 1000 tons) (Rounded off to nearest figure)
• 1283
• 1180
• 1800
• 1080
• 1150
Explanation

Total production = 3850 thousand tons.

Average = $\displaystyle \frac{3850}{3}$ = 1283.33 thousand tons OR 1283 thousand tons.

Workspace
#Directions (Q36 to Q40): Study the following Line Graph carefully and answer the questions given below.

In school A, 120 students can speak Hindi. How many students can speak English ?
• 140
• 150
• 190
• 180
• 195
Explanation

Hindi = 40% = 120, English = 65%.

English = $\displaystyle \frac{120}{40} \times$ 65 = 195.

Workspace

In school B 25 students can speak both English and Hindi, then how many students can speak only Hindi ?
• 160
• 175
• 155
• 150
Explanation

Let number of students be 100 or 100%.

Hindi = 35% + English = 70% => 105%.

Both = 105% - 100% = 5%.

Hindi = $\displaystyle \frac{25}{5} \times$ 35 = 175.

Only Hindi = 175 â€“ 25 (Both) = 150.

Workspace

If 150 students can speak both English and Hindi in school C. What is the total strength in the school C ?
• 1550
• 1500
• 1200
• 600
• 450
Explanation

Let total strength in school C be 100.

Students who can speak Hindi = 50%.

Students who can speak English = 60%.

Both Hindi and English = 100 â€“ ( 50 + 60 ) = 10 or 10% = 150.

Total number of students = $\displaystyle \frac{150}{10} \times$ 100 = 1500.

Workspace

The number of students in school C and E are 400 and 600 respectively. What is the difference between the number of students who can speak both English and Hindi in the schools ?
• 12
• 25
• 24
• 18
• 20
Explanation

Total strength in school C = 400.

Hindi = 50%, English = 60%.

Hindi = $\displaystyle 400 \times \frac{50}{100}$ = 200.

English = $\displaystyle 400 \times \frac{60}{100}$ = 240.

Both = 400 â€“ (200 + 240) = 40 students.

Total strength in college E = 600.

Hindi = 40%, English = 70%.

Hindi = $\displaystyle 600 \times \frac{40}{100}$ = 240.

English = $\displaystyle 600 \times \frac{70}{100}$ = 420.

Both = 600 â€“ (240 + 420) = 60.

Difference = 60 â€“ 40 = 20.

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If the total strength of school D is 350, then how many students can speak only English ?
• 175
• 185
• 200
• 225
• 165
Explanation

English = 60%, Hindi = 50%.

Both = 100 â€“ (60 + 50) = 10 or 10%.

Hindi = $\displaystyle 350 \times \frac{50}{100}$ = 175.

English = $\displaystyle 350 \times \frac{60}{100}$ = 210.

Both = $\displaystyle 350 \times \frac{10}{100}$ = 35.

Only English = 210 â€“ 35 = 175.

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