Data Interpretation Questions - 1

Directions: (Q1 to Q5) Study the given table carefully and answer the questions given below it.

The given table represents the number of candidates appeared and qualified during 2011 to 2016 from 6 colleges.


Year

2011

2012

2013

2014

2015

2016

College

App

Qual

App

Qual

App

Qual

App

Qual

App

Qual

App

Qual

A

1835

1250

2010

1407

2200

1342

2480

1388

2240

1420

2856

1835

B

2256

1435

2318

1458

2200

1836

2440

1886

2636

1985

2735

2150

C

2636

1480

2710

1521

2820

1632

2920

2012

3200

2250

3280

2250

D

1836

1425

1950

1230

2100

1280

2180

1320

2200

1380

2380

1420

E

1638

1120

1680

1230

1730

1320

1790

1350

1850

1420

1900

1520

F

1936

1235

1930

1280

1936

1350

1900

1428

1836

1482

1926

1850


In which of the following years, was the percentage of the number of candidates which appeared from college B to the candidates which passed, maximum? (Rounded off to nearest integer) ?
  • 2011
  • 2013
  • 2015
  • 2016
  • 2014
Explanation   

Pass % = $\displaystyle \frac{\text{Qualified}}{\text{Appeared}} \times 100$

Candidates appeared and pass % of college B:

2011 => $\displaystyle \frac{1435}{2256} \times 100$ = 63.6%.

2012 => $\displaystyle \frac{1458}{2318} \times 100$ = 63%.

2013 => $\bf \displaystyle \frac{1836}{2200} \times 100$ = 83.45%.

2014 => $\displaystyle \frac{1886}{2440} \times 100$ = 77.3%.

2015 => $\displaystyle \frac{1985}{2636} \times 100$ = 75.30%.

2016 => $\displaystyle \frac{2150}{2735} \times 100$ = 78.6%.

Workspace

The given table represents the number of candidates appeared and qualified during 2011 to 2016 from 6 colleges.


Year

2011

2012

2013

2014

2015

2016

College

App

Qual

App

Qual

App

Qual

App

Qual

App

Qual

App

Qual

A

1835

1250

2010

1407

2200

1342

2480

1388

2240

1420

2856

1835

B

2256

1435

2318

1458

2200

1836

2440

1886

2636

1985

2735

2150

C

2636

1480

2710

1521

2820

1632

2920

2012

3200

2250

3280

2250

D

1836

1425

1950

1230

2100

1280

2180

1320

2200

1380

2380

1420

E

1638

1120

1680

1230

1730

1320

1790

1350

1850

1420

1900

1520

F

1936

1235

1930

1280

1936

1350

1900

1428

1836

1482

1926

1850


What is the difference between total candidates appeared from the colleges A and B throughout the year ?
  • 900
  • 948
  • 964
  • 968
  • 960
Explanation   

Candidates appeared from college A = 1835 + 2010 + 2200 + 2480 + 2240 + 2856 = 13621.

Candidates appeared from college B = 2256 + 2318 + 2200 + 2440 + 2636 + 2735 = 14585.

Difference = 14585 – 13621 = 964.

Workspace

The given table represents the number of candidates appeared and qualified during 2011 to 2016 from 6 colleges.


Year

2011

2012

2013

2014

2015

2016

College

App

Qual

App

Qual

App

Qual

App

Qual

App

Qual

App

Qual

A

1835

1250

2010

1407

2200

1342

2480

1388

2240

1420

2856

1835

B

2256

1435

2318

1458

2200

1836

2440

1886

2636

1985

2735

2150

C

2636

1480

2710

1521

2820

1632

2920

2012

3200

2250

3280

2250

D

1836

1425

1950

1230

2100

1280

2180

1320

2200

1380

2380

1420

E

1638

1120

1680

1230

1730

1320

1790

1350

1850

1420

1900

1520

F

1936

1235

1930

1280

1936

1350

1900

1428

1836

1482

1926

1850


What is the percentage decrease/increase in the number of the appeared to qualified candidates in college A in 2012 to 2013 ?
  • Decreased by 10%
  • Increased by 10%
  • Increased by 8%
  • Decreased by 9%
  • Decreased by 8%
Explanation   

Pass % = $\displaystyle \frac{\text{Qualified}}{\text{Appeared}} \times 100$

2012 => $\displaystyle \frac{1407}{2010} \times 100$ = 70%.

2013 => $\displaystyle \frac{1342}{2200} \times 100$ = 61%.

Difference = 70% - 61% = decreased by 9%.

Workspace

The given table represents the number of candidates appeared and qualified during 2011 to 2016 from 6 colleges.


Year

2011

2012

2013

2014

2015

2016

College

App

Qual

App

Qual

App

Qual

App

Qual

App

Qual

App

Qual

A

1835

1250

2010

1407

2200

1342

2480

1388

2240

1420

2856

1835

B

2256

1435

2318

1458

2200

1836

2440

1886

2636

1985

2735

2150

C

2636

1480

2710

1521

2820

1632

2920

2012

3200

2250

3280

2250

D

1836

1425

1950

1230

2100

1280

2180

1320

2200

1380

2380

1420

E

1638

1120

1680

1230

1730

1320

1790

1350

1850

1420

1900

1520

F

1936

1235

1930

1280

1936

1350

1900

1428

1836

1482

1926

1850


What is the difference between the total qualified candidates in six colleges in years 2015 and 2016 ?
  • 1078
  • 1088
  • 1098
  • 1108
  • 1118
Explanation   
College
 
Year 2015
Year 2016
 
A
 
1420
1835
 
B
 
1985
2150
 
C
 
2250
2250
 
D
 
1380
1420
 
E
 
1420
1520
 
F
 
1482
1850
 
Total
 
9937
11025

Difference = 11025 – 9937 = 1088

Workspace

The given table represents the number of candidates appeared and qualified during 2011 to 2016 from 6 colleges.


Year

2011

2012

2013

2014

2015

2016

College

App

Qual

App

Qual

App

Qual

App

Qual

App

Qual

App

Qual

A

1835

1250

2010

1407

2200

1342

2480

1388

2240

1420

2856

1835

B

2256

1435

2318

1458

2200

1836

2440

1886

2636

1985

2735

2150

C

2636

1480

2710

1521

2820

1632

2920

2012

3200

2250

3280

2250

D

1836

1425

1950

1230

2100

1280

2180

1320

2200

1380

2380

1420

E

1638

1120

1680

1230

1730

1320

1790

1350

1850

1420

1900

1520

F

1936

1235

1930

1280

1936

1350

1900

1428

1836

1482

1926

1850


What is the percentage of the total qualified candidates to the total number of appeared candidates among all the six colleges in 2014? (Rounded off to the nearest figure) ?
  • 68%
  • 66%
  • 60%
  • 63%
  • 70%
Explanation   

Candidates Appeared and Qualified in Year 2014:


Appeared
Qualified
2480
1388
2440
1856
2920
2012
2180
1320
1790
1350
1900
1428
13710
9384

Pass % = $\displaystyle \frac{9384}{13710} \times 100$ = 68.44%.

Workspace
Directions (Q6 to Q10): Study the table and answer the questions given below it.

Number of employees working in various departments of a Factory.


Year

Production

Sales

Purchase

Acct and Admin

Research and Development

Total

2011

200
40
70
85
105

500

2012

250
65
65
102
105

587

2013

375
72
78
110
115

750

2014

390
65
79
119
120

773

2015

450
70
85
124
119

848

2016

540
69
102
136
124

971

Total

2205
381
479
676
688

4429


In which year, the number of employees in productions department reached exactly 50% of the total number of employees working in all the departments in that year ?
  • 2014
  • 2015
  • 2016
  • 2013
  • 2012
Explanation   

2011 => Total employees = 430, in Production department = 200.

$\displaystyle \frac{200}{500} \times 100$ = 40%.

2012 => Total employees = 587, in Production department = 250.

$\displaystyle \frac{250}{587} \times 100$ = 42.6%.

2013 => Total employees = 750, in Production department = 375.

$\displaystyle \frac{375}{750} \times 100$ = 50%.

Workspace

Number of employees working in various departments of a Factory.


Year

Production

Sales

Purchase

Acct and Admin

Research and Development

Total

2011

200
40
70
85
105

500

2012

250
65
65
102
105

587

2013

375
72
78
110
115

750

2014

390
65
79
119
120

773

2015

450
70
85
124
119

848

2016

540
69
102
136
124

971

Total

2205
381
479
676
688

4429


What is the difference between the total number of employees in the department Accounts & Administration and Research and Development in the given years ?
  • 8
  • 10
  • 12
  • 14
  • 42
Explanation   

Total employees in Accounts & Administration = 676.

Total employees in Research & Development = 688.

Difference = 688 – 676 = 12.

Workspace

Number of employees working in various departments of a Factory.


Year

Production

Sales

Purchase

Acct and Admin

Research and Development

Total

2011

200
40
70
85
105

500

2012

250
65
65
102
105

587

2013

375
72
78
110
115

750

2014

390
65
79
119
120

773

2015

450
70
85
124
119

848

2016

540
69
102
136
124

971

Total

2205
381
479
676
688

4429


In which year, were the number of employees in Sales department more than 10% of the total number of the employees ?
  • 2011
  • 2012
  • 2013
  • 2014
  • 2015
Explanation   

2012 => Sales Department = 65, Total employees in all the departments = 587.

$\displaystyle \frac{65}{587} \times 100$ = 11%.

Workspace

Number of employees working in various departments of a Factory.


Year

Production

Sales

Purchase

Acct and Admin

Research and Development

Total

2011

200
40
70
85
105

500

2012

250
65
65
102
105

587

2013

375
72
78
110
115

750

2014

390
65
79
119
120

773

2015

450
70
85
124
119

848

2016

540
69
102
136
124

971

Total

2205
381
479
676
688

4429


In the department Accounts & Administration, in which of the following year were the percentage increase in the number of employees from its preceding year the highest ?
  • 2014
  • 2015
  • 2016
  • 2011
  • 2012
Explanation   

Employees in Accounts & Administration in 2011 = 85, in 2012 = 102.

Increase 102 – 85 = 17.

Percentage increase = $\displaystyle \frac{17}{85} \times 100$ = 20%.

Workspace

Number of employees working in various departments of a Factory.


Year

Production

Sales

Purchase

Acct and Admin

Research and Development

Total

2011

200
40
70
85
105

500

2012

250
65
65
102
105

587

2013

375
72
78
110
115

750

2014

390
65
79
119
120

773

2015

450
70
85
124
119

848

2016

540
69
102
136
124

971

Total

2205
381
479
676
688

4429


What is the ratio of total number of employees in production to sales ?
  • 122 : 131
  • 131 : 122
  • 127 : 89
  • 205 : 127
  • 131 : 89
Explanation   

Production Department = 2205.

Sales Department = 381.

Production : Sales = 2205 : 381 = 205 : 127.

Workspace

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