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



REASONING


REASONING

In each question below is given a statement followed by two courses of action numbered I and II. 
You have to assume everything in the statement to be true and on the basis of the information given in the statement, 
decide which of the suggested courses of action logically follow(s) for pursuing.
Give answer
(A) If only I follows
(B) If only II follows
(C) If either I or II follows
(D) If neither I nor II follows
(E) If both I and II follow.


1.Statement: Many medical and engineering graduate are taking up jobs in administrative services nd in Banks.
Courses of Action:
I. All the professionals should be advised to refrain from taking up such jobs.
II. The Government should appoint a committee to find out the reasons for these professionals taking up such jobs and to suggest remedial measures.
A. Only I follows
B. Only II follows
C. Either I or II follows
D. Neither I nor II follows
E. Both I and II follow

2. Statement: A large number of people in ward X of the city are diagnosed to be suffering from a fatal malaria type.
Courses of Action:
I. The city municipal authority should take immediate steps to carry out extensive fumigation in ward X.
II. The people in the area should be advised to take steps to avoid mosquito bites.
A. Only I follows
B. Only II follows
C. Either I or II follows
D. Neither I nor II follows
E. Both I and II follow

3.Statement: Since its launching in 1981, Vayudoot has so far accumulated losses amounting to Rs 153 crore.
Courses of Action:
I. Vayudoot should be directed to reduce wasteful expenditure and to increase passenger fare.
II. An amount of about Rs 300 crore should be provided to Vayudoot to make the airliner economically viable.
A. Only I follows
B.Only II follows
C. Either I or II follows
D. Neither I nor II follows
E. Both I and II follow

4.Statement: A large number of people die every year due to drinking polluted water during the summer.
Courses of Action:
I. The government should make adequate arrangements to provide safe drinking water to all its citizens.
II. The people should be educated about the dangers of drinking polluted water.
A. Only I follows
B. Only II follows
C. Either I or II follows
D. Neither I nor II follows
E. Both I and II follow

5. Statement: Fou districts in state A have been experiencing serve drought for the last three years resulting into exodus of people from these districts.
Courses of Action:
I. The government should immediately start food for work  program in the district to put a halt to the Exodus.
II. The government should make effort to provide drinking / potable water to these district.
A. Only I follows
B. Only II follows
C. Either I or II follows
D. Neither I nor II follows
E. Both I and II follow

6.Statement: Most of those who study in premier engineering colleges in India migrate to developed nations for better prospects in their professional pursuits.
Courses of Action:
I. All the students joining these colleges should be asked to sign a bond at the time of admission to the effect that they -
will remain in India at least for ten years after they complete education.
II. All those students who desire to settle in the developed nations should be asked to pay entire cost of their education which the government subsidises.
A. Only I follows
B. Only II follows
C. Either I or II follows
D. Neither I nor II follows
E. Both I and II follow

7. Statement: There is an unprecedented increase in migration of villagers to urban areas as repeated crop failure has put them into precarious financial situation.
Courses of Action:
I. The villagers should be provided with alternate source of income in their villages which will make them stay put.
II. The migrated villagers should be provided with jobs in the urban areas to help them survive.
A. Only I follows
B. Only II follows
C. Either I or II follows
D. Neither I nor II follows
E. Both I and II follow

8. Statement: If the retired Professors of the same Institutes are also invited to deliberate on restructuring of the organisation, 
their contribution may be beneficial to the Institute.
Courses of Action:
I. Management may seek opinion of the employees before calling retired professors.
II. Management should involve experienced people for the systematic restructuring of the organisation.
A. Only I follows
B. Only II follows
C. Either I or II follows
D. Neither I nor II follows
E. Both I and II follow

9.Statement: The sale of a particular product has gone down considerably causing great concern to the company.
Courses of Action:
I. The company should make a proper study of rival products in the market.
II. The price of the product should be reduced and quality improved.
A. Only I follows
B. Only II follows
C. Either I or II follows
D. Neither I nor II follows
E. Both I and II follow

10.Statement: The Minister said that the teachers are still not familiarised with the need, 
importance and meaning of population education in the higher education system. 
They are not even clearly aware about their role and responsibilities in the population education programme.
Courses of Action:
I. Population education programme should be included in the college curriculum.
II. Orientation programme should be conducted for teachers on population education
A. Only I follows
B. Only II follows
C. Either I or II follows
D. Neither I nor II follows
E. Both I and II follow



ANSWER KEY : 1- ( B),2- ( E), 3-  ( A), 4- ( E),5- (E),6- ( B), 7-  ( A),8- ( B),9- (A),10- ( B)


Reasoning Quiz


Reasoning Quiz

Directions (1-5): Study she following information carefully and answer the given questions.

Eight friends P, Q, R, S, T, U, V and W are sitting in a straight line facing North. 
Q sits third to the right of V who is second to the right of S. T sits to the immediate right of Q. 
Three persons are sitting between P and W. W who is sitting at one of the extreme ends is sitting second to the left of U.

1. Which of the following is sitting at extreme end of the row?
(1) Q
(2) S
(3) T
(4) R
(5) None of these

2. How many persons are sitting between P and Q?
(1) None
(2) One
(3) Two
(4) Three
(5) More than three

3. Which of the following is/are neighbour of U?
(1) S
(2) R
(3) V
(4) Both S and V
(5) Both S and R

4. What is the position of R with respect to Q?
(1) immediate left
(2) Immediate right
(3) second to left
(4) Second to right
(5) None of these

5. S is related to W and R is related to P in a certain way in the above seating arrangement.
 Which of the following is related to V in the same way?
(1) P
(2) Q
(3) T
(4) R
(5) None of these 

Directions-(6-10) In these questions, relationship between different elements is shown in the statements.
 The statements are followed by two conclusions. Give answers-

(1) If only Conclusion I is true. 
(2) If only Conclusion II is true. 
(3) If either Conclusion I or II is true. 
(4) If neither Conclusion I nor II is true. 
(5) If both Conclusions I and II are true.

6.Statements: 
A > B = C < D < E > F

Conclusions: 
I. F < C
II. A > D 

7.Statements: 
A = B > C > D; E < C 

Conclusions: 
I. E < A 
II. D < E 

8.Statements:
A < B > C > D; A > E; D > F

Conclusions: 
I. F > B
II. B >E

9. Statements: 
A = B < C > D; E > C < F 

Conclusions: 
I. E > A
II. F > D 

10.Statements: 
A > B = C; D < C > E 

Conclusions: 
I. D < A
II. E < A

ANSWERS
1-5

The seating arrangement is

W S U V P R Q T

1. (3)
2. (2)
3. (4)
4. (1)
5. (1)

6. (4)
A > B = C
E > D > C = B
E > F.

7. (1)
A = B > C > D
A = B > C > E

8. (2)
B > C > D > F
B > A > E

9. (5)
E > C > B = A
F > C > B = A
E > C > D
F > C > D


10. (5)
A > B = C > E
A > B = C > D

ANSWERS

(1-5)

The seating arrangement is

W S U V P R Q T

1. (3)  
2. (2)  
3. (4)  
4. (1)  
5. (1)

6. (4)
A > B = C
E > D > C = B
E > F.

7. (1)
A = B > C > D
A = B > C > E

8. (2)
B > C > D > F
B > A > E

9. (5)
E > C > B = A
F > C > B = A
E > C > D
F > C > D

10. (5)
A > B = C > E
A > B = C > D

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