Data Interpretation for IBPS PO Mains 2017: Set- 29

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Data Interpretation for IBPS PO Mains 2017

Data Interpretation for IBPS PO. Welcome to the www.letsstudytogether.co online Quant section. If you are preparing for IBPS PO/Clerk 2017 exam, you will come across a section on Data Interpretation Section. Here we are providing you with Data Interpretation for IBPS PO Mains 2017 based on the latest pattern of your daily practice.

This “Data Interpretation for IBPS PO Mains 2017” is also important for other banking exams such as IBPS PO, IBPS Clerk, SBI Clerk, IBPS RRB Officer, IBPS RRB Office Assistant, IBPS SO, SBI SO and other competitive exams.

Data Interpretation for IBPS PO Mains 2017: Set- 29


 Directions: (1-5) Study the following table carefully and answer the questions.

Export value of various commodities (in Rs. crores) exported by India
Principal Commodity 2008-09 2009-10 2010-11 2011-12 2012-13
Tea 2688 2943 3246 3965 4123
Coffee 2256 2032 2907 3216 3369
Pulses 541 410 848 952 967
Rice 1687 1242 1129 1523 1456
Wheat 852 652 589 865 754
Dairy Products 1130 549 784 965 1025
Spices 6338 6157 7864 7988 6521
Cashew 1900 2105 2595 1157 1698
Groundnut 1239 1425 2190 2365 2478
Processed Vegetable 711 752 765 854 887
Processed Fruits 1029 1159 1002 1598 1789

1. Which of the following commodities shows the highest percentage increase in the value of exports between the terminal years (2008-09 to 2012-13)?
A. Tea
B. Spices
C. Pulses
D. Cashew
E. Wheat

Show Correct Answers

C. Pulses

Cashew can be directly eliminated as its exports decrease in the given period.

Observe that for Spices, the increase (6338 to 6521) is less than 10% while that for Tea and Pulses is definitely more than 10%.

Hence, Spices can also be eliminated.

For Tea, percentage increase in export value = ((4123-2688)/2688) = 53.38%

For Pulses, percentage increase in export value = ((967-541)/541) = 78.74%

Thus, Pulses show the maximum percentage increase in value of exports.

2.The average value of exports per year is the second lowest for which commodity over the given period?
A. Pulses
B. Wheat
C. Processed Vegetables
D. Cashew
E. Daily Products

Show Correct Answers

A. Pulses

Pulses ->(541+410+848+952+967)/5 = 743.6

Wheat->(852+652+589+865+754)/5=742.4

Processed Vegetables ->(711+752+765+854+887)/5 = 793.8

Cashew-> (1900+2105+2595+1157+1698)/5 =1891

Dairy Products -> (1130+549+784+965+1025)/5 = 890.6

Thus, Pulses has the second lowest average value of exports per year.

 

3.Which of the following statements is not true?
A. The increase in the value of exports of Coffee from 2009-10 to 2011-12 is approximately 58%.
B. The average value of Coffee exports per year during the given period is Rs. 2756 crores.
C. The value of exports of Processed Vegetables has grown approximately by 20% from 2008-09 to 2011-12.
D. The average value of Rice exports per year during the given period is Rs. 1523.3 crores
E. The average value of Processed Fruits exports per year during the given period is Rs. 1315.4 crores.

Show Correct Answers

D. The average value of Rice exports per year during the given period is Rs. 1523.3 crores

Consider the options

The increase in the value of exports of Coffee from 2009-10 to 2011-12 = 100*(3216-2032)/2032 = 58.26%.

Now, the average value of Coffee exports per year during the given period = (2256+2032+2907+3216+3369)/5 = Rs. 2756 crores

Percentage increase in the value of exports of Processed Vegetables from 2008-09 to 2011-12 = 100*(854-711)/711 = 20.11%

The average value of Rice exports per year during the given period = (1687+1242+1129+1523+1456)/5 = 1407.4≠ 1523.3

The average value of Processed Fruits exports per year during the given period = (1029+1159+1002+1598+1789) = Rs. 1315.4 crores.

Thus, the statement in option d is not true.

 

4.Which of the following statement(s) is/are true?

  1. The combined average export value per year of Processed Fruits, Processed Vegetables and Dairy Products is less than Rs. 3000 crores during the given period.
  2. The export value of no commodity has grown at a higher rate than that of Groundnut over the given period.
  3. The percentage growth in export of value of Wheat from 2009-10 to 2011-12 exceeds the percentage growth in export value of Wheat from 2010-11 to 2012-13 by at least 4 percentage points.

A. Only I
B. I and II
C. I and III
D. All I, II and III
E. None of these

Show Correct Answers

D. All I, II and III

The combined average export value per year of Processed Fruits, Processed Vegetables and Dairy Products

= [(1130 +711+1029) + (549+752+1159) + (784+765+1002) + (965+854+1598) + (1025+887+1789)]/5

= 2999.8< 3000

Thus, statement (i) is true.

The exports value of Groundnut has doubled (1239 to 2478) over the given period i.e. they have grown at exactly 100%. The exports value of no other product has even doubled over the given period.

Thus, statement (ii) is also true.

Percentage growth in Wheat export value from 2009 – 10 to 2011 – 12 = ((865 – 652) / 652) * 100 = 32.67%

Percentage growth in Wheat exportvalue from 2010 – 11 to 2012 – 13 = ((754 – 589) / 589) * 100 = 28.01%

∴ Percentage point difference between the growth rates = 32.67 – 28.01 = 4.66

 

5.In 2008-09, the export quantity of Rice, Wheat, Spices, Cashew and Groundnut were 20 million tons, 15million tons, 2.5million tons, 4million tons and, 5million tons respectively. If the export quantity of these commodities from 2008-09 to 2009-10 had been increased by 10%, which commodity’s price per unit changed by maximum amount (positive or negative) between 2008-09 and 2009-10?
A. Rice
B. Wheat
C. Spices
D. Cashew
E. Groundnut

Show Correct Answers

A. Rice

We can see from the table that Rice’s price per ton has been changed by maximum amount between 2008-09 and 2009-10

 

Directions: (6-9) Study the table below and answer the questions.

A, B, C, D and E are five different types of jobs. The table below shows the number of days taken by five different persons to complete a particular job alone. (e.g. Amit can complete Job-D alone in 84 days).

Name Job-A Job-B Job-C Job-D Job-E
Amit 144 770 315 84 225
Anil 80 924 420 168 180
Arun 90 420 252 105 150
Aditya 60 462 90 70 120
Amar 48 385 105 140 300

6.Amit completed 40% of Job-B alone and then the remaining part of the job was done by Arun and Aditya together. For doing 40% of the job, Rs. 62000 is offered. Find out the value of wage, Arun and Aditya together, get per day for doing the remaining part of Job-B?
A. Rs.700
B. Rs.352.27
C. Rs.715
D. Rs.704.54
E. Rs.814.54

Show Correct Answers

D. Rs.704.54

Let time taken by Arun and Aditya together to complete 60% of Job-B = t

So, time taken by Arun and Aditya together to complete Job-B = t/0.6

Therefore, 1/462 + 1/420 = 0.6/t

=> t = 132 days

Payment for 40% of the job = Rs. 62000

So, Payment for 60% of the job = 62000*6/4 = Rs. 93000

Therefore, daily payment to Arun and Aditya together = Rs. 93000/132 = Rs. 704.54

7.Amit, Anil and Arun were all hired to complete Job-C together but after 100 days Amit left the Job, Arun left the Job 50 days before completion and only Anil continued to work till the job was completed. In how many days the job was completed?
A. 135 3/4 Days
B. 135 1/4 Days
C. 138 1/4 Days
D. 138 3/4 Days
E. 136 3/4 Days

Show Correct Answers

D. 138 3/4 Days

8.Amar and Aditya together work on Job-D and Job-E on alternate days, starting with Job-D. Once a job is completed, from the very next day Arun joins them and they work every day on the next job together. How long did it take to complete both the work?
A. 118 1/11 Days
B. 118 2/11 Days
C. 118 3/11 Days
D. 118 4/11 Days
E. 118 5/11 Days

Show Correct Answers

C. 118 3/11 Days

Part of Job-D done in one day when Amar and Aditya work together = 1/140 + 1/70 = 3/140

Part of Job-E done in one day when Amar and Aditya work together = 1/300 + 1/120 = 7/600 7/600 < 3/140

So, Job-D will be completed first.

Number of days spent on Job-D = 140/3 = 46.6777 i.e., 47 days

Number of days spent on Job-E before Arun joined in Job-E = 46 days

Portion of Job-E done in 46 days = 46*7/600

Remaining portion of Job-E = 1 – 46*7/600 = 278/600

Let in t days the remaining portion of Job-E done will be by Amar, Aditya and Arun.

So, in one day the amount of work done by three of them working together is:

1/300 + 1/120 + 1/150. Therefore:

(1/t)(278/600) = 1/300 + 1/120 + 1/150 => 278/t = 11 => t = 278/11

Therefore, total number of days = 47+46+278/11 = 1301/11 days

 

9.How long will it take to complete all the five jobs when all the five men start working on Job-A together and once the Job-A is completed all five start working on Job-B from next day onward and same pattern is followed to complete Job-C, Job-D and Job-E?
A. 208 days
B. 209 days
C. 210 days
D. 211 days
E. 212 days

Show Correct Answers

D. 211 days

Time taken to complete Job-A = A

1/A = 1/144 + 1/80 + 1/90 + 1/60 + 1/48 => A = 720/49 i.e. 15 days

Time taken to complete Job-B = B

1/B = 1/770 + 1/924 + 1/420 + 1/462 + 1/385 => B = 4620/44 i.e. 105 days

Time taken to complete Job-C = C

1/C = 1/315 + 1/420 + 1/252 + 1/90 + 1/105 => C = 1260/38 i.e. 34 days

Time taken to complete Job-D = D

1/D = 1/84 + 1/168 + 1/105 + 1/70 + 1/140 => D = 840/41 i.e. 21 days

Time taken to complete Job-E = E 1/E = 1/225 + 1/180 + 1/150 + 1/120 + 1/300 => E = 1800/51 i.e. 36 days

Therefore, total number of days =15+105+34+21+36 = 211 days

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