Tuesday, 1 August 2017

Data Interpretation



Directions (1-4): Study the following table carefully to answer the questions that follow.

Number (N) of six type of Electronic Products sold by Six different stores in a month and the price per product (P) (price in Rs ‘000) charged by each Store


Store
A
B
C
D
E
F
Product
N
P
N
P
N
P
N
P
N
P
N
P
L
54
135
48
112
60
104
61
124
40
136
48
126
M
71
4.5
53
3.8
57
5.6
49
4.9
57
5.5
45
4.7
N
48
12
47
18
52
15
54
11.5
62
10.5
56
11
O
52
53
55
48
48
50
54
49
59
47
58
51
P
60
75
61
68
56
92
44
84
46
76
59
78
Q
43
16
44
15
45
14.5
48
15.6
55
18.2
55
14.9
Q1. What is the total amount earned by Store C through the sale of M and O type products together?
(a) Rs 2719.2 lakh 
(b) Rs 271.92 lakh
(c) Rs 2.7192 lakh 
(d) Rs 27.192 lakh
(e) None of these

S1. Ans.(d) 
Sol. Total amount earned by store C through the sales of M and O type products together
= (57 × 5.6 + 48 × 50) thousand
= (319.2 + 2400) thousand
= 27.192 lakh

Q2. Number of L type product sold by Store F is what percent of the number same type of products sold by Store E?
(a) 76.33 
(b) 124 
(c) 83.33
(d) 115 
(e) None of these

S2. Ans.(e) 
Sol. Number of L type product sold by store F = 48
Number of L type product sold by store E = 40
Required percentage = 48/40*100 =120

Q3. What is the difference in the amount earned by Store A through the sale of P type products and that earned by Store B through the sale of Q type products?
(a) Rs 38.4 lakh 
(b) Rs 0.384 lakh 
(c) Rs 3.84 lakh
(d) Rs 384 lakh 
(e) None of these

S3. Ans.(a) 
Sol. Required difference
= (60 × 75 – 44 × 15) thousand
= (4500 – 660) thousand
= 38.4 lakh

Q4. What is the respective ratio of total number of N and L type products together sold by Store D and the same products sold by Store A?
(a) 119 : 104
(b) 102 : 115 
(c) 104 : 115
(d) 117 : 103 
(e) None of these

S4. Ans.(e) 
Sol. Required ratio = (61 + 54) : (54 + 48) = 115 : 102

Directions (5-10): Study the following graph to answer the given questions.



Q5. If the income of Company X in 1998-99 was equal to the expenditure of Company Y in 2001-2002, what was the ratio of their respective profits?
(a) 13:15
(b) 15:26
(c) 13:26
(d) Cannot be determined
(e) None of these


Q6. For Company X, its income in 2001-2002 was equal to its expenditure in 2002-2003, what was the ratio of its respective incomes in these two years?
(a) 4:5
(b) 3:4
(c) 2:3
(d) Cannot be determined
(e) None of these


Q7. For Company Y, in which year is the percent of increase in percent profit over that of previous year the highest?
(a) 2002-03
(b) 1999-2000
(c) 2001-02
(d) Cannot be determined
(e) None of these


Q8. In 1997-98, the expenditure of Company X was Rs. 40 crores. What was its income in that year?
(a) Rs. 50 crore
(b) Rs. 48 crore
(c) Rs. 46 crore
(d) Cannot be determined
(e) None of these

S8. Ans.(b)
Sol. Required income
= 120% of Rs. 40 Crore = Rs. 48 Crore

Q9. What was the difference in the expenditures of the two companies in 1999-2000?
(a) 10
(b) 100
(c) 1000
(d) Cannot be determined
(e) None of these

S9. Ans.(d)
Sol. The given graph depicts only the percent profit earned by the two companies over the given years. Hence, these information are insufficient to answer the question.

Q10. In 2002-03 the income of Company Y was Rs. 128 crores. What was its expenditure in that year?
(a) Rs. 76.8 crore
(b) Rs. 64 crore
(c) Rs. 48 crore
(d) Cannot be determined
(e) None of these

S10. Ans.(e)
Sol. In 2002 – 03 profit earned by company Y was 60% 
Therefore, 160% of expenditure Rs. 128 crore
Thus, required expenditure = 128/160× 100 = Rs. 80 Crores

Directions (11-15): Study the following information to answer the given questions.
Percentage of students in various courses (A, B, C, D, E, F) in pie chart I and percentage of girls in pie chart II.
Total students: 1200 (800 girls + 400 boys)




Q11. For course D, what is the respective ratio of boys and girls?
(a) 3:4
(b) 4:5
(c) 3:5
(d) 5:6
(e) None of these

S11. Ans.(a)
Sol. Total number of students for course D = 35% of 1200 = 420
Number of girl students for course D = 30% of 800 = 240
Number of boy students for course D = 420 – 240 = 180
Required ratio = 180 : 240 = 3 : 4.

Q12. For which pair of courses is the number of boys the same?
(a) E and F
(b) A and D
(c) C and F
(d) B and D
(e) None of these

S12. Ans.(c)
Sol. Number of boys for different courses are 
A = 0; B = 100; C = 44; D = 180; E = 32; F = 44.

Q13. For course E, the number of girls is how much percent more than the number of boys for course E?
(a) 250
(b) 350
(c) 150
(d) 80
(e) None of these


Q14. For which course is the number of boys the minimum?
(a) E
(b) F
(c) C
(d) A
(e) None of these

S14. Ans.(d)
Sol. Number of boys for different courses are 
A = 0; B = 100; C = 44; D = 180; E = 32; F = 44.

Q15. How many girls are there in course C?
(a) 44
(b) 16
(c) 40
(d) 160
(e) None of these

S15. Ans.(b)
Sol. Number of girls in course C = 2% of 800 = 16.

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