Tuesday 1 August 2017

Data Interpretation



Directions (1-5): Study the following Radar graph carefully and answer the questions given below it.
Percentage of Marks Obtained by Various Students in Various Subjects in an Examination


Maximum Marks in each Subject = 100

Q1. What is approximate overall percentage obtained by C in the examination?
(a) 78 %
(b) 69 %
(c) 75 %
(d) 66.66 %
(e) 65 %


Q2. What is the difference in the marks obtained by B in English and Maths together and the marks obtained by D in the same subjects?
(a) 20
(b) 25 
(c) 15
(d) 30 
(e) None of these

S2. Ans.(e)
Sol. Marks obtained by B in Maths and English = 30 + 90 = 120
Marks obtained by D in maths and english = 40 + 70 = 110
Difference = 120 - 110 = 10

Q3. The marks obtained by A in Geography are what per cent of the marks obtained by A in Hindi?
(a) 71 % 
(b) 55 %
(c) 50 %
(d) 60 %
(e) None of these

S3. Ans.(a)
Sol. Marks obtained by A in Geography = 50
Marks obtained by A in Hindi = 70
Required % = 50/70 * 100 ≈ 71 %

Q4. What is the overall percentage of marks obtained by D in History and Geography together?
(a) 73 
(b) 72 
(c) 75
(d) 68 
(e) None of these

S4. Ans.(c)
Sol. Total marks obtained = 60 + 90 = 150
Total marks = 200
Percentage marks = 150/200 * 100 = 75%

Q5. What is the average marks obtained by all the students together in Science?
(a) 77.16 
(b) 72.50 
(c) 75.6
(d) 80.56
(e) None of these


Directions (6-10): Study the following graph and table carefully and answer the questions given below:


Distance covered (in kilometers) by six vehicles on each day

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

Q6. Which of the following vehicles travelled at the same speed on both the days?
(a) Vehicle A
(b) Vehicle C
(c) Vehicle F
(d) Vehicle B
(e) None of these

S6. Ans.(d)
Sol. The speed of vehicle B on both the days is 43 km/h.

Q7. What was the difference between the speed of Vehicle A on Day 1 and the speed of Vehicle C on the same day?
(a) 7 km/h
(b) 12 km/h
(c) 11 km/h
(d) 8 km/h
(e) None of these

S7. Ans.(c)
Sol. Speed of A on first day = 52 km/h
Speed of C on first day = 63 km/h
∴ Difference = 65 – 52 = 11 km/h

Q8. What was the speed of Vehicle C on Day 2 in terms of metres per second?
(a) 15.3 m/sec
(b) 12.8 m/sec
(c) 11.5 m/sec
(d) 13.8 m/sec
(e) None of these

S8. Ans.(e)
Sol. Speed of vehicle C on second day = 45 km/h
=45×5/18=2.5×5 = 12.5 m/sec

Q9. The distance travelled by Vehicle F on Day 2 was approximately what percent of the distance travelled by it on Day 1?
(a) 80
(b) 65
(c) 85
(d) 95
(e) 90


Q10. What is the ratio of the speeds of Vehicle D and Vehicle E on Day 2?
(a) 15:13
(b) 17:13
(c) 13:11
(d) 17:14
(e) None of these


Directions (11-15): The pie-chart provided below gives the distribution of land (in a village) under various food crops. Study the pie-chart carefully and answer the questions that follow:


Q11. If the total area under bajra was three hundred acres, then the total area (in hundred acres) under rice and barely together is:
(a) 18
(b) 12
(c) 15
(d) 20
(e) None of these
Q12. The combination of three crops which contribute to more than 50% of the total area under the food crops is:
(a) Wheat, rice and maize
(b) Wheat, rice and jowar
(c) Wheat, rice and bajra
(d) Rice, barley and maize
(e) None of these

S12. Ans.(a)
Sol. ∴ 100% = 360°
∴ 50% = 180°
∴ Wheat + rice + maize = 72° + 72° + 45° = 189° > 180°

Q13. The ratio of the land used for rice and barley is:
(a) 3 : 1
(b) 1 : 2
(c) 2 : 1
(d) 3 : 2
(e) None of these

S13. Ans.(c)
Sol. Required ratio = 72° : 36° = 2 : 1

Q14. If 10% of the land reserved for rice be distributed to wheat and barley in the ratio 2 : 1, then the angle corresponding to wheat in the new pie-chart will be:
(a) 38.4°
(b) 76.8°
(c) 75.6°
(d) 45.5°
(e) None of these


Q15. If the production of rice is 5 times that of jowar and the production of jowar is 2 times that of bajra, then the ratio between the yield per acre of rice and bajra is:
(a) 5 : 2
(b) 3 : 1
(c) 4 : 1
(d) 6 : 1
(e) None of these



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