SBI PO (Main) Exam Paper - 2018 "Data Analysis & Interpretation"

SBI PO (Main) Exam Paper - 2018 "Data Analysis & Interpretation"

81. Direction: Read the following Caselet and answer the questions:
There are three 3 types of stores namely retail, online and door to door and certain number of people were working in all these stores. Each person was working on one store or the other. 72% people were in retail stores. People working in door to door store only was 1/36 of the retail store. Person working in both the online and door to door store except retail store were 55. Person working in only online store is equal to person in door to door only + 65. What is the total number of people working in online store only?

A. 65

B. 75

C. 10

D. 140

E. None of the above

82. Direction: Read the following Caselet and answer the questions:
There are three 3 types of stores namely retail, online and door to door and certain number of people were working in all these stores. Each person was working on one store or the other. 72% people were in retail stores. People working in door to door store only was 1/36 of the retail store. Person working in both the online and door to door store except retail store were 55. Person working in only online store is equal to person in door to door only +65. What is the total number of people working in any of the stores?

A. 500

B. 120

C. 75

D. 140

E. Cannot be determined

83. Direction: Answer the questions based on the information given below:
Two person A and B work in a call center. They receive calls of which they execute some percentage. Below bar graph shows the percentage of calls executed by them on 2 days i.e. Monday and Friday. Based on the following graph, answer the questions given below:

If B executes 200 calls on Friday and he received 25% more calls than A on Friday. Then A executed what number of calls on Friday?

A. 160

B. 80

C. 125

D. 200

E. None of these

84. Direction: Answer the questions based on the information given below: Two person A and B work in a call center. They receive calls of which they execute some percentage. Below bar graph shows the percentage of calls executed by them on 2 days i.e. Monday and Friday. Based on the following graph, answer the questions given below:

Total calls received by A and B on Friday is?
a) Total calls executed by them on Friday is 100
b) Difference between the calls executed by them on Friday is 8

A. Data in A is sufficient alone

B. Data in B is sufficient alone

C. Both A and B are required

D. Can’t be determined even after using both

E. None of the above

85. Direction: The following question has three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.
What is the ratio of the volume of the cube to the volume of the cuboid?
I. The Total Surface Area of the cuboid is 352 cm2 and the ratio of the length, breadth and height of the cuboid is3:2:1.
II. The Total Surface Area of the cube is 726 cm2.
III. The length of the cuboid is 1.5 times of the breadth of the cuboid and 3 times of the height of the cuboid. The difference between the height and the length of the cuboid is 8 cm.

A. Any two of the statements

B. All the statements

C. II and III together

D. I and II together

E. Either statement I and II or statement II and III

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86. Direction: Each question below is followed by three statements I,II and III. You have to determine whether the data given in the statement/statements is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.
What is the speed of boat in still water?
I. The boat can cover 25 km downstream distance in 5 hours.
II. Speed of the stream is two-third of the speed of boat in still water.
III. The boat can cover 25 km upstream distance in 10 hours.

A. I and III together

B. Only II

C. I and II together

D. I and either II or III

E. Any two statements together

87. Direction: In the following questions a number of statements are given. Read the question carefully and determine which statements are necessary to answer the question. Choose the appropriate option accordingly and mark you answer.
What is the selling price of table fan if Dealer sells at a profit of 15%?
Statement I: Dealer marks fan 60% above cost price and allow a discount of 25%. If no discount is offered then he would get Rs. 1920 more profit.

Statement II: Dealer marks fan 75% above cost price and after allowing two successive discounts of 20% sold to Rahul, Rahul sold it to Jay for Rs. 6720 and claims a profit of 25%.
Statement III: Dealer marks fan 75% above cost price and after allowing discount of 25% sells to customer. If he allows an additional discount of 20% he would get Rs. 1260 less.

A. If the data in statement I, II and III are necessary to answer the question

B. If the data either in statement I or II or III alone is sufficient to answer the question

C. If the data in both statements I and II together is sufficient to answer the question

D. If the data in both statements II and III together is sufficient to answer the question

E. None are sufficient

88. Direction: Each question below is followed by three statements 1, 2 and 3. You have to determine whether the data given in the statement/statements is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.
What is the two digit number?
1) The difference between the two digits is 4.
2) The digit at unit’s place is less than that at ten’s place by 4.
3) The difference between the two digit number and the number formed by interchanging the digits is 36.

A. 1 and 3 only

B. All of three are not enough to answer.

C. 1 and either 2 or 3

D. 1 and 2 only

E. All 1, 2 and 3

89. Direction: In the following questions a number of statements are given. Read the question carefully and determine which statements are necessary to answer the question. Choose the appropriate option accordingly and mark you answer. Find the total length of wall built by 2 Men and 3 Women when working together.
Statement I: A man takes 20 days to build that wall alone while 1 woman takes 24 days to build the same wall alone.
Statement II: A man takes 10 days to build half of that wall alone while 1 woman takes 8 days to build one – third of the same wall alone and length of wall build in 1 day by a man is 6 meters
Statement III: Total lengths of wall build in 1 day when all the 5 workers work together is 27 meters.

A. If the data in statement II alone is sufficient to answer the question

B. If the data in both statements I and II together is sufficient to answer the question

C. If the data either in statement I and III is sufficient to answer the question

D. If the data either in statement II alone or I and III are sufficient to answer the question

E. Any two of them together are sufficient

Direction (90-94): Answer the questions based on the information given below:
The given cascade bar graph provides the information about the number of girls and boys participated in a dance competition of NH Goel school on five different days of a week and the table give the details about the percentage of students participated on different days who lost the competition. Total number of students participated in a day = Number of girls participated in a day + Number of boys participated in a day Total number of students participated = Total number of students who lost the competition participated + Total number of students who won the competition participated

90. Find the ratio of the number of students who lost the competition on Tuesday to the number of students who won the competition on Wednesday.

A. 3/16

B. 1/16

C. 3/32

D. 27/16

E. None of these

91. If the ratio of number of girls lost to the number of boys lost on Thursday is 7: 5 respectively, then the number of girls lost on Thursday was what percentage of the number of boys participated on Monday?

A. 10%

B. 12%

C. 14%

D. 16%

E. 18%

92. Find the ratio between the number of students who won on Wednesday to the number of students who won on Thursday

A. 44/45

B. 43/45

C. 1/1

D. 3/2

E. 45/44

93. Direction: Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers.
Quantity I: The discount given by a shopkeeper on an article was 16% and the profit earned by the shopkeeper was 47%. If the shopkeeper marked the price of the article Rs. 600 more than the cost price of the article then find at what percent more than the cost price the article was marked?
Quantity II: The discount given by the shopkeeper was Rs. 1580 more than the profit earned by the shopkeeper. If the cost price of the article was Rs. 800 and the profit earned by the shopkeeper was 13.75% then find the discount percent given by the shopkeeper.

A. Quantity I > Quantity II

B. Quantity I < Quantity II

C. Quantity I > Quantity II

D. Quantity I < Quantity II

E. Quantity I = Quantity II or No relation

94. Direction: Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers. A conical pit of base radius ‘R’ cm and height ‘H’ cm is dug and from the mud that came out after digging, a certain number of cuboidal and cylindrical bricks are made in such a way that 22 bricks of each types are made. Dimension of each cuboidal brick is 14 cm * 4 cm * 4 cm, radius and height of each cylindrical brick is 7 cm and 4 cm. Ratio of R to H is 21: 40
Quantity I: Half of height of conical pit in centimeters
Quantity II: Two less than the total number of cuboidal bricks made from the mud

A. Quantity I > Quantity II

B. Quantity I < Quantity II

C. Quantity I ≥ Quantity II

D. Quantity I ≤ Quantity II

E. Quantity I = Quantity II or No relation

95. Direction: In the following questions two quantities are given. You are required to calculate the value in the quantity and compare them. According to the comparison kindly mark your
answer.
Quantity I: 5 balls are drawn at random from a bag which contains 10 white, 7 blue and 13 red balls. What is the probability if two balls are red?
Quantity II: 7 marbles are drawn at random from a jar which contains 8 brown marbles, 6 blue marbles and 7 grey marbles. Find the probability if at least 4 marbles are brown.

A. Quantity I > Quantity II

B. Quantity I <Quantity II

C. Quantity I = Quantity II

D. Quantity I > Quantity II

E. None of these

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96. Direction: Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers.
Quantity I: A 63 litres mixture of wine and water contains wine and water in the ratio 5: 4 respectively. A lady added another 49 litres mixture of wine and water which contains wine and water in the ratio 4: 3 respectively. Another lady added 12 litres of wine and 1 litres of water into the mixture. The final mixture is divided into three containers in the ratio 2: 2: 1 respectively. Find the difference between quantities of water in the first and third container.
Quantity II: Ratio of milk and water in a mixture is 13: 7 respectively. The milkman added 5 litres of milk and 15 litres of water to the mixture and hence the ratio becomes 7: 5 respectively. The milkman sold 50% of the new mixture and added 10 litres of milk and 8 litres of water to the remaining mixture. Find the difference between the quantities of milk and water in the final mixture.

A. Quantity I > Quantity II

B. Quantity I < Quantity II

C. Quantity I > Quantity II

D. Quantity I < Quantity II

E. Quantity I = Quantity II or No relation

97. Direction: Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of
Mathematics to choose among the possible answers.
Quantity I: There are 42 workers in a factory with an average weight of 65 kg. The ratio of the number of male workers to female workers is 13: 8. If the average weight of male workers and female workers is 72 kg and ‘x’ kg respectively, then find the value of ‘x’.
Quantity II: The average weight of a class of 25 students is ‘x’ kg. If a student whose weight is 100 kg is excluded, then the average of the class reduces by 2 kg. Find the value of ‘x’.

A. Quantity I > Quantity II

B. Quantity I < Quantity II

C. Quantity I > Quantity II

D. Quantity I < Quantity II

E. Quantity I = Quantity II or No relation

Direction (98-102): Study the following information and table carefully to answer the given questions. GM and GE are two laptop manufacturing companies. GM sells its laptops through its own dealership network while GE sells its laptop online. Profit = (Revenue – Cost)
Profit% =100×Revenue – Cost

                          Cost


98. In which of the following years, the ratio of number of laptops sold at profit to the number of laptops sold at loss by the two companies together was minimum?

A. 2012

B. 2013

C. 2014

D. 2015

E. 2016

99. The revenue of GM was maximum in which year during 2012 – 2016?

A. 2012

B. 2013

C. 2014

D. 2015

E. 2016

100. In 2015, the total amount spent by GM on shipping and warehousing, was what percentage of amount spent by GE on shipping laptops in 2015?

A. 200%

B. 215%

C. 230%

D. 195%

E. 175%

101. The total amount spent by GM on advertising during 2012 – 2016, is what percentage of amount spent by GE on shipping during 2012 – 2015?

A. 28.2%

B. 36.4%

C. 34.8%

D. 25.6%

E. 32.2%

Direction (102-106): Study the following information carefully and answer the given questions:
In the year 2015, the salary expense of a company is 16 lakhs and the total number of employees is 80 and in the year 2016, the average salary of employees is Rs. 4000 more than the previous year. The salary expense in 2016 is 20% more than the previous year. Theother expense in the year 2016 is 34 lakhs. The total expense in the year 2015 and 2016 is same. In the year 2017, the number of employees is 5 less than the previous year. The average salary of employees in the year 2017 is Rs. 15000 and the other expense in the year 2017 is Rs. 47.75 lakhs.
Note:
Salary expense = Average salary of employees * Number of employees Total expense = Salary expense + other expense
102. The total expense in the year 2015 is approximately what percentage of total expense in the year 2017?

A. 110

B. 90

C. 75

D. 100

E. None of these

103. Find the total average salary of employees in all the given years together?

A. Rs. 59000

B. Rs. 48000

C. Rs. 53000

D. Rs. 56000

E. None of these

104. Find the difference between the number of employees in the year 2015 to that in the year 2017?

A. 5

B. 15

C. 10

D. 12

E. None of these

105. Find the average other expense in all the given years together?

A. 39.65 lakhs

B. 35.72 lakhs

C. 33.58 lakhs

D. 41.25 lakhs

E. None of these

Direction (106-108): Read the following paragraph carefully to answer the questions that follow. These questions are linked i.e. questions can borrow information from each other’s question or solution. Solve the question carefully. 2 factories employ men and women to produce remote-controlled (RC) toy cars of 3 different sizes – small, medium and big. Men in factory A take 5 hours to make a small RC car alone, 7 hours to make a medium car alone and 9 hours to make the big one. A woman in factory A takes 6 hours, 7 hours and 8 hours to make a small, a medium and a big one alone. The men of factory B are 80% as efficient as the men in factory A, and the women in factory B are 110% as efficient as women of factory A. All workers in factory A work for 8 hours and in factory B work for 9 hours.
106. Factory B gets a contract of manufacturing 100 small, 120 medium and 80 big sized cars. How much time (approx days) will they take to complete this order if the factory employs 10 male and 12 female workers alternatively i.e. one day only male workers work and the next day only female workers work, and so on? Also, males work on making small and medium cars, where as females work only on big cars.

A. 22

B. 24

C. 26

D. 27

E. 25

107. If the 13 female workers of factory B start work immediately (after finishing the first order) on their next order, while the male workers finish making cars from initial order (previous question), how many whole medium and big RC cars can be made by them till the male workers finish their work on previous order? (NOTE: The medium and big RC cars are to be made in the ratio 3:2 respectively)

A. 221

B. 227

C. 232

D. 235

E. Data inadequate

108. If a small, a medium and a big car fetches wage of Rs. 500, Rs, 750 and Rs. 1000 respectively, then what is the difference of individual wages earned by a male and a female workers in factory B after finishing all the cars made in previous (two) scenarios (mentioned in the questions before this)?

A. Rs. 7520

B. Rs. 7020

C. Rs. 7050

D. Rs. 7150

E. Rs. 7770

Direction (109-113): Answer the questions based on the information given below:
Three business partners invested for 5 years in a business in the years 2013, 2014, 2015, 2016 and 2017 respectively. The amounts invested by
A, B and C in the year 2014 are Rs. 25000, 5000 and 15000 respectively. The profits earned by C in the year 2015 and 2016 are 16000 Rs. and 21000 Rs. respectively. The investment made by A,
B and C in the year 2017 are 10000, 20000 and 30000 respectively. The total profit earned in the year 2014 is 75000 Rs. The total investment made in the year 2016 is Rs. 65000 and the ratio of amount invested by A, B and C is 5: 6: 2, respectively. The profits earned by C in the 2013 and A in 2017 are 105000 Rs. and 135000 Rs. respectively. The amount invested by B for the year 2013 is Rs. 20000 and the ratio of amount invested by A, B and C is 3: 4: 5, respectively. The profit earned by B in the year 2014 is 12500 Rs. The amount invested by B and C in the year 2015 is same and is equal to the amount invested by A in 2017. The amount invested by A in 2015 is equal to the amount invested by C in 2014. Also given that, the period of investment made by the business partners is not fixed.

109. In the year 2018, B and C increased their investment amount by 20% and 10% respectively while A has increased it by 50% with respect to the previous year and it has been decided that A will get an extra of 12.5% of the total profit for being a working partner. If at the end of the year A receives Rs. 88500, then find the total profit. (All three partners invested for the whole year)

A. Rs. 265500

B. Rs. 424800

C. Rs. 302400

D. Rs. 288000

E. None of these

110. In the year 2016, A and B started a business with their respective investments. After 4 months A withdraws half of his capital and B withdraws half of his capital after 6 months and C joins the business after 6 months from the starting. Find the difference between the share of profit of A and B.

A. Rs. 24500

B. Rs. 10500

C. Rs. 21000

D. Rs. 31500

E. None of these

111. Who has been appointed the first-ever Chief Financial Officer (CFO) of the Reserve Bank of India (RBI)?

A. Ashok Vajpeyi

B. Balan Nambiar

C. Uttam Pacharne

D. Sudha Balakrishnan

E. None of these

112. On the lines of ‘‘Operation Flood’’, a new scheme ‘‘Operation Greens’’ was announced in the Union Budget 2018- 19. What is the outlay of the scheme?

A. Rs. 100 crore

B. Rs. 200 crore

C. Rs. 1000 crore

D. Rs 500 Crore

E. Rs. 700 crore

113. Sashakt: 5-pronged strategy is to:

A. Deal with the Non-Performing Assets held by banks

B. Manage idle assets held by Public sector companies in India

C. Work towards promotion of housing for Economically Weaker Sections

D. Rehabilitate employees of sick Public sector undertakings.

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