Practice | Hashtable

41. Study the following table carefully and answer the questions given below:
Number (N) of Candidates (In lakhs) Appearing for An Entrance Examination from six different States and The percentage (P) of candidates clearing the Same over the years.

STATE → A B C D E F

YEAR ↓ N P N P N P N P N P N P

2004 1.23 42 1.04 51 1.11 32 1.32 24 1.23 36 1.33 31

2005 1.05 43 1.12 62 1.07 47 1.15 49 1.18 55 1.24 24

2006 2.04 38 1.48 32 1.08 28 1.96 35 1.42 49 1.58 26

2007 1.98 41 2.07 43 1.19 30 1.88 46 1.36 47 1.79 29

2008 1.66 53 1.81 50 1.56 42 1.83 60 1.73 57 1.86 34

2009 1.57 39 1.73 36 1.64 52 2.01 56 1.69 55 1.95 37

What is the number of candidates not clearing the entrance exam from State A in the year 2007?

A. 186820

B. 11682

C. 1868200

D. 116820

Discuss

Solution:

Number of candidates not clearing the exam from state A in 2007

\begin{aligned} = {1.98 \times (100 - 41) %} lakhs \\ = (1.98 \times \frac{59}{100}) lakhs \\ = (\frac{116.82}{100} \times 100000) \\ = 116820 \end{aligned}

42. Study the following table carefully and answer the questions given below:
Number (N) of Candidates (In lakhs) Appearing for An Entrance Examination from six different States and The percentage (P) of candidates clearing the Same over the years.

STATE → A B C D E F

YEAR ↓ N P N P N P N P N P N P

2004 1.23 42 1.04 51 1.11 32 1.32 24 1.23 36 1.33 31

2005 1.05 43 1.12 62 1.07 47 1.15 49 1.18 55 1.24 24

2006 2.04 38 1.48 32 1.08 28 1.96 35 1.42 49 1.58 26

2007 1.98 41 2.07 43 1.19 30 1.88 46 1.36 47 1.79 29

2008 1.66 53 1.81 50 1.56 42 1.83 60 1.73 57 1.86 34

2009 1.57 39 1.73 36 1.64 52 2.01 56 1.69 55 1.95 37

What is the average number of candidates appearing for the entrance exam from state D in the years 2007, 2008 and 2009 together?

A. $1907 \frac{2}{3}$

B. $18666 \frac{1}{3}$

C. $1866 \frac{1}{3}$

D. $190666 \frac{2}{3}$

Discuss

Solution:

Average number of candidates appearing from state D in 2007, 2008, 2009

\begin{aligned} = \frac{1.88 + 1.83 + 2.01}{3} lakhs \\ = \frac{5.72}{3} lakhs \\ = \frac{5.72 \times 100000}{3} \\ = \frac{572000}{3} \\ = 190666 \frac{2}{3} \end{aligned}

43. Study the following table carefully and answer the questions given below:
Number (N) of Candidates (In lakhs) Appearing for An Entrance Examination from six different States and The percentage (P) of candidates clearing the Same over the years.

STATE → A B C D E F

YEAR ↓ N P N P N P N P N P N P

2004 1.23 42 1.04 51 1.11 32 1.32 24 1.23 36 1.33 31

2005 1.05 43 1.12 62 1.07 47 1.15 49 1.18 55 1.24 24

2006 2.04 38 1.48 32 1.08 28 1.96 35 1.42 49 1.58 26

2007 1.98 41 2.07 43 1.19 30 1.88 46 1.36 47 1.79 29

2008 1.66 53 1.81 50 1.56 42 1.83 60 1.73 57 1.86 34

2009 1.57 39 1.73 36 1.64 52 2.01 56 1.69 55 1.95 37

What is the ratio of the total number of candidates clearing the entrance examination from state B in the year 2004 to that of those clearing the entrance examination from State C in the same year?

A. 221 : 148

B. 218 : 143

C. 148 : 221

D. 143 : 218

Discuss

Solution:

\begin{aligned} Required ratio \\ = \frac{1.04 lakhs \times 51 %}{1.11 lakhs \times 32 %} \\ = \frac{1.04 \times 51}{1.11 \times 32} \\ = \frac{104 \times 51}{111 \times 32} \\ = \frac{13 \times 17}{37 \times 4} \\ = \frac{221}{148} \\ = 221 : 148 \end{aligned}

44. Study the following table carefully and answer the questions given below:
Number (N) of Candidates (In lakhs) Appearing for An Entrance Examination from six different States and The percentage (P) of candidates clearing the Same over the years.

STATE → A B C D E F

YEAR ↓ N P N P N P N P N P N P

2004 1.23 42 1.04 51 1.11 32 1.32 24 1.23 36 1.33 31

2005 1.05 43 1.12 62 1.07 47 1.15 49 1.18 55 1.24 24

2006 2.04 38 1.48 32 1.08 28 1.96 35 1.42 49 1.58 26

2007 1.98 41 2.07 43 1.19 30 1.88 46 1.36 47 1.79 29

2008 1.66 53 1.81 50 1.56 42 1.83 60 1.73 57 1.86 34

2009 1.57 39 1.73 36 1.64 52 2.01 56 1.69 55 1.95 37

What is the total number of candidates clearing the entrance examination from State E and F together in the year 2006?

A. 16160

B. 110660

C. 11066

D. 1106600

Discuss

Solution:

Number of candidates clearing the exam from states E and F together in 2006.

\begin{aligned} = (1.42 lakhs \times \frac{49}{100}) + (1.58 lakhs \times \frac{26}{100}) \\ = \frac{(1.42 \times 49) + (1.58 \times 26)}{100} lakhs \\ = \frac{69.58 + 41.08}{100} lakhs \\ = \frac{110.66}{100} \times 100000 \\ = 110660 \end{aligned}

45. Study the following table carefully and answer the questions given below:
Number (N) of Candidates (In lakhs) Appearing for An Entrance Examination from six different States and The percentage (P) of candidates clearing the Same over the years.

STATE → A B C D E F

YEAR ↓ N P N P N P N P N P N P

2004 1.23 42 1.04 51 1.11 32 1.32 24 1.23 36 1.33 31

2005 1.05 43 1.12 62 1.07 47 1.15 49 1.18 55 1.24 24

2006 2.04 38 1.48 32 1.08 28 1.96 35 1.42 49 1.58 26

2007 1.98 41 2.07 43 1.19 30 1.88 46 1.36 47 1.79 29

2008 1.66 53 1.81 50 1.56 42 1.83 60 1.73 57 1.86 34

2009 1.57 39 1.73 36 1.64 52 2.01 56 1.69 55 1.95 37

In which year did the highest number of candidates clear the entrance exam from state D?

A. 2008

B. 2006

C. 2009

D. 2007

Discuss

Solution:

Number of candidates clearing the exam from state D in

\begin{aligned} 2008 \to (1.83 \times \frac{60}{100}) lakhs \\ = \frac{1.83 \times 3}{5} lakhs \\ = \frac{5.49}{5} lakhs \\ = 1.10 lakhs \\ 2009 \to (2.01 \times \frac{56}{100}) lakhs \\ = \frac{2.01 \times 14}{25} lakhs \\ = \frac{28.14}{25} lakhs \\ = 1.12 lakhs \end{aligned}

In rest of the years it is clearly less.
So, it is maximum in the year 2009

46. Study the table given below carefully and answer the question that follow:
Number of Athletes (In Hundred) Who Participated In a Sports Event from 5 different Countries Over the Years.
M → Male F → Female

Country → A B C D E

Years ↓ M F M F M F M F M F

2005 4.4 3.3 6.3 4.2 4.5 3.1 5.6 4.1 4.7 2.1

2006 6.6 4.2 8.4 6.2 6.9 3.3 8.4 6.3 7.8 5.2

2007 4.6 1.8 7.4 4.8 4.8 2.8 9.3 7.3 8.7 6.5

2008 9.6 4.9 11.4 8.4 6.6 4.2 12.6 9.4 8.9 5.8

2009 11.8 6.4 10.6 5.2 7.9 6.3 14.4 10.2 11.8 9.2

2010 8.2 5.2 6.4 7.2 10.8 6.9 15.6 12.1 13.6 9.8

What was the average number of female athletes who participated from country B over all the years together?

A. 1200

B. 400

C. 600

D. 1800

Discuss

Solution:

Average number of female athletes from B over all the years.

\begin{aligned} = \frac{(4.2 + 6.2 + 4.8 + 8.4 + 5.2 + 7.2) \times 100}{6} \\ = \frac{3600}{6} \\ = 600 \end{aligned}

47. Study the table given below carefully and answer the question that follow:
Number of Athletes (In Hundred) Who Participated In a Sports Event from 5 different Countries Over the Years.
M → Male F → Female

Country → A B C D E

Years ↓ M F M F M F M F M F

2005 4.4 3.3 6.3 4.2 4.5 3.1 5.6 4.1 4.7 2.1

2006 6.6 4.2 8.4 6.2 6.9 3.3 8.4 6.3 7.8 5.2

2007 4.6 1.8 7.4 4.8 4.8 2.8 9.3 7.3 8.7 6.5

2008 9.6 4.9 11.4 8.4 6.6 4.2 12.6 9.4 8.9 5.8

2009 11.8 6.4 10.6 5.2 7.9 6.3 14.4 10.2 11.8 9.2

2010 8.2 5.2 6.4 7.2 10.8 6.9 15.6 12.1 13.6 9.8

The number of female athletes who participated from Country E in the year 2009 was approximately what percentage of the total number of athletes who participated from Country B in the year 2008?

A. 40%

B. 46%

C. 50%

D. 56%

Discuss

Solution:

Number of female athletes from E in 2009
= 9.2 × 100
= 920
Total number of athletes from B in 2008
= (11.4 + 8.4) × 100
= 19.8 × 100
= 1980
Let 920 = x% of 1980
Then,

\begin{aligned} \Rightarrow \frac{x}{100} \times 1980 = 920 \\ \Rightarrow x = \frac{920 \times 100}{1980} \\ = \frac{4600}{99} % \\ = 46.46 % \\ \approx 46 % \end{aligned}

48. Study the table given below carefully and answer the question that follow:
Number of Athletes (In Hundred) Who Participated In a Sports Event from 5 different Countries Over the Years.
M → Male F → Female

Country → A B C D E

Years ↓ M F M F M F M F M F

2005 4.4 3.3 6.3 4.2 4.5 3.1 5.6 4.1 4.7 2.1

2006 6.6 4.2 8.4 6.2 6.9 3.3 8.4 6.3 7.8 5.2

2007 4.6 1.8 7.4 4.8 4.8 2.8 9.3 7.3 8.7 6.5

2008 9.6 4.9 11.4 8.4 6.6 4.2 12.6 9.4 8.9 5.8

2009 11.8 6.4 10.6 5.2 7.9 6.3 14.4 10.2 11.8 9.2

2010 8.2 5.2 6.4 7.2 10.8 6.9 15.6 12.1 13.6 9.8

In which of the following years was total number of participates (athletes) the second highest from Country C?

A. 2005

B. 2006

C. 2007

D. 2008

Discuss

Solution:

Total number of athletes from C in various years:
2005 → (4.5 + 3.1) × 100
= 7.6 × 100
= 760
2006 → (6.9 + 3.3) × 100
= 10.2 ×100
= 1020
2007 → (4.8 + 2.8) × 100
= 7.6 × 100
= 760
2008 → (6.6 + 4.2) × 100
= 10.8 × 100
= 1080
2009 → (7.9 + 6.3) × 100
= 14.2 × 100
= 1420
2010 → (10.8 + 6.9) × 100
= 17.7 × 100
= 1770
It was second highest in 2009. So, the correct answer is (E).

49. Study the table given below carefully and answer the question that follow:
Number of Athletes (In Hundred) Who Participated In a Sports Event from 5 different Countries Over the Years.
M → Male F → Female

Country → A B C D E

Years ↓ M F M F M F M F M F

2005 4.4 3.3 6.3 4.2 4.5 3.1 5.6 4.1 4.7 2.1

2006 6.6 4.2 8.4 6.2 6.9 3.3 8.4 6.3 7.8 5.2

2007 4.6 1.8 7.4 4.8 4.8 2.8 9.3 7.3 8.7 6.5

2008 9.6 4.9 11.4 8.4 6.6 4.2 12.6 9.4 8.9 5.8

2009 11.8 6.4 10.6 5.2 7.9 6.3 14.4 10.2 11.8 9.2

2010 8.2 5.2 6.4 7.2 10.8 6.9 15.6 12.1 13.6 9.8

What was the approximate percentage decrease in the number of male athletes who participated from Country C in the year 2007 as compared to the previous year?

A. 21%

B. 30%

C. 35%

D. 39%

Discuss

Solution:

Number of male athletes in 2006 from C
= 6.9 × 100
= 690
Number of male athletes in 2007 from C
= 4.8 ×100
= 480

\begin{aligned} ∴ Decrease % \\ = (\frac{690 - 480}{690} \times 100) % \\ = (\frac{210}{690} \times 100) % \\ = \frac{700}{23} % \\ = 30.4 % \\ \approx 30 % \end{aligned}

50. Study the table given below carefully and answer the question that follow:
Number of Athletes (In Hundred) Who Participated In a Sports Event from 5 different Countries Over the Years.
M → Male F → Female

Country → A B C D E

Years ↓ M F M F M F M F M F

2005 4.4 3.3 6.3 4.2 4.5 3.1 5.6 4.1 4.7 2.1

2006 6.6 4.2 8.4 6.2 6.9 3.3 8.4 6.3 7.8 5.2

2007 4.6 1.8 7.4 4.8 4.8 2.8 9.3 7.3 8.7 6.5

2008 9.6 4.9 11.4 8.4 6.6 4.2 12.6 9.4 8.9 5.8

2009 11.8 6.4 10.6 5.2 7.9 6.3 14.4 10.2 11.8 9.2

2010 8.2 5.2 6.4 7.2 10.8 6.9 15.6 12.1 13.6 9.8

In which of the following countries is the difference between the number of male and female participants second highest in the year 2006?

A. A

B. B

C. C

D. D

Discuss

Solution:

In 2006, the difference between males and females in various countries was
A → (6.6 - 4.2) × 100
= 2.4 × 100
= 240
B → (8.4 - 6.2) × 100
= 2.2 × 100
= 220
C → (6.9 - 3.3) × 100
= 3.6 × 100
= 360
D → (8.4 - 6.3) × 100
= 2.1 × 100
= 210
E → (7.8 - 5.2) × 100
= 2.6 × 100
= 260
It was second highest in E.

STATE →	A		B		C		D		E		F
YEAR ↓	N	P	N	P	N	P	N	P	N	P	N	P
2004	1.23	42	1.04	51	1.11	32	1.32	24	1.23	36	1.33	31
2005	1.05	43	1.12	62	1.07	47	1.15	49	1.18	55	1.24	24
2006	2.04	38	1.48	32	1.08	28	1.96	35	1.42	49	1.58	26
2007	1.98	41	2.07	43	1.19	30	1.88	46	1.36	47	1.79	29
2008	1.66	53	1.81	50	1.56	42	1.83	60	1.73	57	1.86	34
2009	1.57	39	1.73	36	1.64	52	2.01	56	1.69	55	1.95	37

Country →	A		B		C		D		E
Years ↓	M	F	M	F	M	F	M	F	M	F
2005	4.4	3.3	6.3	4.2	4.5	3.1	5.6	4.1	4.7	2.1
2006	6.6	4.2	8.4	6.2	6.9	3.3	8.4	6.3	7.8	5.2
2007	4.6	1.8	7.4	4.8	4.8	2.8	9.3	7.3	8.7	6.5
2008	9.6	4.9	11.4	8.4	6.6	4.2	12.6	9.4	8.9	5.8
2009	11.8	6.4	10.6	5.2	7.9	6.3	14.4	10.2	11.8	9.2
2010	8.2	5.2	6.4	7.2	10.8	6.9	15.6	12.1	13.6	9.8