Practice | Hashtable

21. Study the given table carefully and answer the question that follow:
Number of candidates appeared and qualified for a test (in hundreds) in 6 different years from 5 different zones.
Here App. means Appeared and Qual. Means qualified.

Year P Q R S T

App. Qual. App. Qual. App. Qual. App. Qual. App. Qual.

2005 3.2 2.5 3.5 1.4 3.8 2.2 4.2 2.4 6.2 2.6

2006 4.6 3.4 6.9 4.2 6.9 4.4 7.4 3.3 6.2 4.8

2007 6.5 4.9 7.7 4.5 5.9 4.8 8.3 5.6 6.4 4.2

2008 7.4 5.7 5.4 3.4 7.2 3.2 9.3 6.4 7.8 6.2

2009 8.8 4.8 6.6 5.2 8.6 6.8 11.4 5.2 9.9 6.9

2010 9.2 5.6 10.6 6.4 10.3 7.4 14.2 11.4 11.8 9.4

What was the average number of candidates appeared from zone T over all the years together?

A. 810

B. 815

C. 825

D. 805

Discuss

Solution:

Average number of candidates appeared from T all over the years

\begin{aligned} = \frac{(6.2 + 6.2 + 6.4 + 7.8 + 9.9 + 11.8) \times 100}{6} \\ = \frac{48.3 \times 100}{6} \\ = \frac{4830}{6} \\ = 805 \end{aligned}

22. Study the given table carefully and answer the question that follow:
Number of candidates appeared and qualified for a test (in hundreds) in 6 different years from 5 different zones.
Here App. means Appeared and Qual. Means qualified.

Year P Q R S T

App. Qual. App. Qual. App. Qual. App. Qual. App. Qual.

2005 3.2 2.5 3.5 1.4 3.8 2.2 4.2 2.4 6.2 2.6

2006 4.6 3.4 6.9 4.2 6.9 4.4 7.4 3.3 6.2 4.8

2007 6.5 4.9 7.7 4.5 5.9 4.8 8.3 5.6 6.4 4.2

2008 7.4 5.7 5.4 3.4 7.2 3.2 9.3 6.4 7.8 6.2

2009 8.8 4.8 6.6 5.2 8.6 6.8 11.4 5.2 9.9 6.9

2010 9.2 5.6 10.6 6.4 10.3 7.4 14.2 11.4 11.8 9.4

In which years was in zones the different between the appeared candidates and qualified candidates the second lowest?

A. 2005

B. 2007

C. 2008

D. 2009

Discuss

Solution:

In zone S, the difference between the appeared candidates and the qualified candidates in various years is given below:
2005 → (4.2 - 2.4) = 1.8
2006 → (7.4 - 3.3) = 4.1
2007 → (8.3 - 5.6) = 2.7
2008 → (9.3 - 6.4) = 2.9
2009 → (11.4 - 5.2) = 6.2
2010 → (14.2 - 11.4) = 2.8
If was lowest in 2005 and second lowest in 2007

23. Study the given table carefully and answer the question that follow:
Number of candidates appeared and qualified for a test (in hundreds) in 6 different years from 5 different zones.
Here App. means Appeared and Qual. Means qualified.

Year P Q R S T

App. Qual. App. Qual. App. Qual. App. Qual. App. Qual.

2005 3.2 2.5 3.5 1.4 3.8 2.2 4.2 2.4 6.2 2.6

2006 4.6 3.4 6.9 4.2 6.9 4.4 7.4 3.3 6.2 4.8

2007 6.5 4.9 7.7 4.5 5.9 4.8 8.3 5.6 6.4 4.2

2008 7.4 5.7 5.4 3.4 7.2 3.2 9.3 6.4 7.8 6.2

2009 8.8 4.8 6.6 5.2 8.6 6.8 11.4 5.2 9.9 6.9

2010 9.2 5.6 10.6 6.4 10.3 7.4 14.2 11.4 11.8 9.4

From which zone was the total number of candidates who qualified the test, the second highest in the year?

A. P

B. Q

C. R

D. S

Discuss

Solution:

Total number of candidates who qualified the test in 2009 and 2010 from various zones are:
P → (4.8 + 5.6) = 10.4
Q → (5.2 + 6.4) = 11.6
R → (6.8 + 7.4) = 14.2
S → (5.2 + 11.4) = 16.6
T → (6.9 + 9.4) = 16.3

24. Study the given table carefully and answer the question that follow:
Number of candidates appeared and qualified for a test (in hundreds) in 6 different years from 5 different zones.
Here App. means Appeared and Qual. Means qualified.

Year P Q R S T

App. Qual. App. Qual. App. Qual. App. Qual. App. Qual.

2005 3.2 2.5 3.5 1.4 3.8 2.2 4.2 2.4 6.2 2.6

2006 4.6 3.4 6.9 4.2 6.9 4.4 7.4 3.3 6.2 4.8

2007 6.5 4.9 7.7 4.5 5.9 4.8 8.3 5.6 6.4 4.2

2008 7.4 5.7 5.4 3.4 7.2 3.2 9.3 6.4 7.8 6.2

2009 8.8 4.8 6.6 5.2 8.6 6.8 11.4 5.2 9.9 6.9

2010 9.2 5.6 10.6 6.4 10.3 7.4 14.2 11.4 11.8 9.4

The number of candidates who qualified the test from zone R in the year 2010 was approximately what percentage of the number of candidates who appeared from zone Q in the year 2008?

A. 152%

B. 147%

C. 142%

D. 132%

Discuss

Solution:

\begin{aligned} Required percentage \\ = (\frac{7.4}{5.4} \times 100) % \\ = \frac{3700}{27} % \\ = 137 % \end{aligned}

25. Study the given table carefully and answer the question that follow:
Number of candidates appeared and qualified for a test (in hundreds) in 6 different years from 5 different zones.
Here App. means Appeared and Qual. Means qualified.

Year P Q R S T

App. Qual. App. Qual. App. Qual. App. Qual. App. Qual.

2005 3.2 2.5 3.5 1.4 3.8 2.2 4.2 2.4 6.2 2.6

2006 4.6 3.4 6.9 4.2 6.9 4.4 7.4 3.3 6.2 4.8

2007 6.5 4.9 7.7 4.5 5.9 4.8 8.3 5.6 6.4 4.2

2008 7.4 5.7 5.4 3.4 7.2 3.2 9.3 6.4 7.8 6.2

2009 8.8 4.8 6.6 5.2 8.6 6.8 11.4 5.2 9.9 6.9

2010 9.2 5.6 10.6 6.4 10.3 7.4 14.2 11.4 11.8 9.4

What was the ratio of the number of candidates appeared from zone P in the year 2005 to the number to the number of candidates qualified from zone S in the year 2007 ?

A. 4 : 7

B. 4 : 9

C. 9 : 4

D. 8 : 13

Discuss

Solution:

\begin{aligned} Required ratio \\ = \frac{3.2}{5.6} \\ = \frac{32}{56} \\ = \frac{4}{7} \\ = 4 : 7 \end{aligned}

26. Study the table given below and answer the questions that follow:
Total Number of Employees in different Departments of an Organization and Percentage of Females and Males.

Department Total No. of Employees Percentage of Females Percentage of Males

IT 840 45 55

Accounts 220 35 65

Production 900 23 77

HR 360 65 35

Marketing 450 44 56

Customer Service 540 40 60

What is the total number of employees in all the departments together?

A. 3260

B. 3310

C. 3140

D. 3020

Discuss

Solution:

Total number of employees in all the departments
= 840 + 220 + 900 + 360 + 450 + 540
= 3310

27. Study the table given below and answer the questions that follow:
Total Number of Employees in different Departments of an Organization and Percentage of Females and Males.

Department Total No. of Employees Percentage of Females Percentage of Males

IT 840 45 55

Accounts 220 35 65

Production 900 23 77

HR 360 65 35

Marketing 450 44 56

Customer Service 540 40 60

What is the respective ratio of the number of females in Production department to the number of females in the Marketing department?

A. 22 : 23

B. 35 : 33

C. 23 : 22

D. 33 : 35

Discuss

Solution:

Number of females in Production : Number of females in Marketing

\begin{aligned} = (900 \times \frac{23}{100}) : (450 \times \frac{44}{100}) \\ = 207 : 198 \\ = 23 : 22 \end{aligned}

28. Study the table given below and answer the questions that follow:
Total Number of Employees in different Departments of an Organization and Percentage of Females and Males.

Department Total No. of Employees Percentage of Females Percentage of Males

IT 840 45 55

Accounts 220 35 65

Production 900 23 77

HR 360 65 35

Marketing 450 44 56

Customer Service 540 40 60

What is the total number of males in the IT and Customer Service departments together?

A. 687

B. 678

C. 768

D. 876

Discuss

Solution:

Total number of males in IT and Customer Service

\begin{aligned} = (840 \times \frac{55}{100}) + (540 \times \frac{60}{100}) \\ = 462 + 324 \\ = 786 \end{aligned}

29. Study the table given below and answer the questions that follow:
Total Number of Employees in different Departments of an Organization and Percentage of Females and Males.

Department Total No. of Employees Percentage of Females Percentage of Males

IT 840 45 55

Accounts 220 35 65

Production 900 23 77

HR 360 65 35

Marketing 450 44 56

Customer Service 540 40 60

What is the ratio of the number of females in the HR and Accounts department together to the number of males in the same department together?

A. 311 : 269

B. 268 : 319

C. 269 : 311

D. 319 : 268

Discuss

Solution:

(Number of females in HR and Accounts) : (Number of males in HR and Accounts)
=

{(\frac{65}{100} \times 360) + (\frac{35}{100} \times 220)}

: {(\frac{35}{100} \times 360) + (\frac{65}{100} \times 220)}

= (234 + 77) : (126 + 143)
= 311 : 269

30. Study the table given below and answer the questions that follow:
Total Number of Employees in different Departments of an Organization and Percentage of Females and Males.

Department Total No. of Employees Percentage of Females Percentage of Males

IT 840 45 55

Accounts 220 35 65

Production 900 23 77

HR 360 65 35

Marketing 450 44 56

Customer Service 540 40 60

The total number of employees in the HR department forms approximately what per cent of the total number of employees in the Accounts department?

A. 149%

B. 178%

C. 157%

D. 164%

Discuss

Solution:

\begin{aligned} Required percentage \\ = (\frac{360}{220} \times 100) % \\ = 163.6 % \\ \approx 164 % \end{aligned}

Year	P		Q		R		S		T
Year	App.	Qual.	App.	Qual.	App.	Qual.	App.	Qual.	App.	Qual.
2005	3.2	2.5	3.5	1.4	3.8	2.2	4.2	2.4	6.2	2.6
2006	4.6	3.4	6.9	4.2	6.9	4.4	7.4	3.3	6.2	4.8
2007	6.5	4.9	7.7	4.5	5.9	4.8	8.3	5.6	6.4	4.2
2008	7.4	5.7	5.4	3.4	7.2	3.2	9.3	6.4	7.8	6.2
2009	8.8	4.8	6.6	5.2	8.6	6.8	11.4	5.2	9.9	6.9
2010	9.2	5.6	10.6	6.4	10.3	7.4	14.2	11.4	11.8	9.4

Department	Total No. of Employees	Percentage of Females	Percentage of Males
IT	840	45	55
Accounts	220	35	65
Production	900	23	77
HR	360	65	35
Marketing	450	44	56
Customer Service	540	40	60