Practice | Hashtable

61. Study the table carefully to answer the questions that follow:
Number of Boys and Girls (in Hundreds) in six different Years in 5 different Schools.

School → A B C D E

Year ↓ Boys Girls Boys Girls Boys Girls Boys Girls Boys Girls

2005 3.3 3.6 5.2 3.1 5.5 4.5 2.4 1.4 6.5 6.6

2006 6.6 4.2 4.9 2.2 6.9 3.3 4.4 2.3 5.5 3.6

2007 9.3 6.9 4.7 4.2 5.8 4.9 6.4 3.3 2.7 2.4

2008 5.4 9.6 6.3 5.4 6.6 5.2 5.3 5.4 5.4 5.7

2009 8.4 12.9 7.5 5.9 8.7 6.6 12.1 5.2 6.8 6.5

2010 12.3 14.4 9.8 4.4 11.7 4.2 12.2 9.4 10.8 12.7

In which year is the total number of students the third highest in School E ?

A. 2006

B. 2007

C. 2008

D. 2005

Discuss

Solution:

Total number of students in School E in various years:
2005 → (6.5 + 6.6) × 100
= 1310
2006 → (5.5 + 3.6) × 100
= 910
2007 → (2.7 + 2.4) × 100
= 510
2008 → (5.4 + 5.7) × 100
= 1110
2009 → (6.8 + 6.5) × 100
= 1330
2010 → (10.8 + 12.7) × 100
= 2350
It is highest in 2010, 2^nd highest in 2009 and 3^rd highest in 2005.

62. Study the table carefully to answer the questions that follow:
Number of Boys and Girls (in Hundreds) in six different Years in 5 different Schools.

School → A B C D E

Year ↓ Boys Girls Boys Girls Boys Girls Boys Girls Boys Girls

2005 3.3 3.6 5.2 3.1 5.5 4.5 2.4 1.4 6.5 6.6

2006 6.6 4.2 4.9 2.2 6.9 3.3 4.4 2.3 5.5 3.6

2007 9.3 6.9 4.7 4.2 5.8 4.9 6.4 3.3 2.7 2.4

2008 5.4 9.6 6.3 5.4 6.6 5.2 5.3 5.4 5.4 5.7

2009 8.4 12.9 7.5 5.9 8.7 6.6 12.1 5.2 6.8 6.5

2010 12.3 14.4 9.8 4.4 11.7 4.2 12.2 9.4 10.8 12.7

What is the average number of girls in school A in all the years taken together ?

A. 760

B. 800

C. 860

D. 600

Discuss

Solution:

Average number of girls in School A over the years

\begin{aligned} = \frac{(3.6 + 4.2 + 6.9 + 9.6 + 12.9 + 14.4) \times 100}{6} \\ = \frac{51.6 \times 100}{6} \\ = \frac{5160}{6} \\ = 860 \end{aligned}

63. Study the table carefully to answer the questions that follow:
Number of Boys and Girls (in Hundreds) in six different Years in 5 different Schools.

School → A B C D E

Year ↓ Boys Girls Boys Girls Boys Girls Boys Girls Boys Girls

2005 3.3 3.6 5.2 3.1 5.5 4.5 2.4 1.4 6.5 6.6

2006 6.6 4.2 4.9 2.2 6.9 3.3 4.4 2.3 5.5 3.6

2007 9.3 6.9 4.7 4.2 5.8 4.9 6.4 3.3 2.7 2.4

2008 5.4 9.6 6.3 5.4 6.6 5.2 5.3 5.4 5.4 5.7

2009 8.4 12.9 7.5 5.9 8.7 6.6 12.1 5.2 6.8 6.5

2010 12.3 14.4 9.8 4.4 11.7 4.2 12.2 9.4 10.8 12.7

What is the approximate percentage decrease in the number of boys in School D in the year 2008 as compared to that in the previous year ?

A. 17%

B. 12%

C. 9%

D. 5%

Discuss

Solution:

Number of boys in School D in 2007
= 6.4 × 100
= 640
Number of boys in School D in 2008
= 5.3 ×100
= 530

\begin{aligned} Decrease % \\ = (\frac{110}{640} \times 100) % \\ = \frac{275}{16} % \\ = 17.1 % \\ \approx 17 % \end{aligned}

64. Study the table carefully to answer the questions that follow:
Number of Boys and Girls (in Hundreds) in six different Years in 5 different Schools.

School → A B C D E

Year ↓ Boys Girls Boys Girls Boys Girls Boys Girls Boys Girls

2005 3.3 3.6 5.2 3.1 5.5 4.5 2.4 1.4 6.5 6.6

2006 6.6 4.2 4.9 2.2 6.9 3.3 4.4 2.3 5.5 3.6

2007 9.3 6.9 4.7 4.2 5.8 4.9 6.4 3.3 2.7 2.4

2008 5.4 9.6 6.3 5.4 6.6 5.2 5.3 5.4 5.4 5.7

2009 8.4 12.9 7.5 5.9 8.7 6.6 12.1 5.2 6.8 6.5

2010 12.3 14.4 9.8 4.4 11.7 4.2 12.2 9.4 10.8 12.7

What is the ratio of the number of boys in School C in the year 2009 to the number of girls in School A in the year 2009 ?

A. 29 : 41

B. 36 : 11

C. 29 : 43

D. 36 : 13

Discuss

Solution:

(Number of boys in C in 2009) : (Number of girls in A in 2009)

\begin{aligned} = (8.7 \times 100) : (12.9 \times 100) \\ = \frac{870}{1290} \\ = \frac{29}{43} \\ = 29 : 43 \end{aligned}

65. Study the table carefully and answer the given questions.
Total exports of six countries over five years (in Rs. crore)
Profit = Exports - Imports.

Years → 1998 1999 2000 2001 2002

Country ↓

P 20 40 60 45 90

Q 30 25 15 50 100

R 50 55 70 90 65

S 45 60 20 15 25

T 60 50 55 100 110

U 24 40 60 75 120

What was the profit of all the countries together in the year 2002 if the total imports of all the countries together was Rs. 385 crore?

A. Rs. 125 crore

B. Rs. 160 crore

C. Rs. 280 crore

D. Rs. 240 crore

Discuss

Solution:

Total import of all countries together in 2002 = Rs. 385 crore
Now, in 2002 total export of all companies together
= 90 + 100 + 65 + 25 + 110 + 120
= 510 crore
∴ Total profit in 2002
= 510 - 385
= 125 crore

66. Study the table carefully and answer the given questions.
Total exports of six countries over five years (in Rs. crore)
Profit = Exports - Imports.

Years → 1998 1999 2000 2001 2002

Country ↓

P 20 40 60 45 90

Q 30 25 15 50 100

R 50 55 70 90 65

S 45 60 20 15 25

T 60 50 55 100 110

U 24 40 60 75 120

If the export of country P in the year 2003 is 20% more than the total export of country Q in 2001 and the export of country T in 2000 together, Then what was the profit of P in the year 2003 if its import was Rs. 92 crore for that year? (in Rs. crore)

A. Rs. 10 crore

B. Rs. 58 crore

C. Rs. 22 crore

D. Rs. 46 crore

Discuss

Solution:

Total export of country Q in 2001 = Rs. 50 crore
Total export of country T in 2000 = Rs. 55 crore
Total export = 50 + 55 = Rs. 105 crore
Now, total export of country P in 2003
=

\frac{105 \times 120}{100}

= Rs. 126 crore
Total import of country P in 2003 = Rs. 92 crore
Profit = 126 - 92 = Rs. 34 crore

67. Study the table carefully and answer the given questions.
Total exports of six countries over five years (in Rs. crore)
Profit = Exports - Imports.

Years → 1998 1999 2000 2001 2002

Country ↓

P 20 40 60 45 90

Q 30 25 15 50 100

R 50 55 70 90 65

S 45 60 20 15 25

T 60 50 55 100 110

U 24 40 60 75 120

What is the percentage increase in the export of all the countries together during the year 1999 to 2001 ? (rounded off to two digits after decimals)

A. 88.99%

B. 72.39%

C. 38.89%

D. 62.89%

Discuss

Solution:

Total export of all countries together in 1999
= 40 + 25 + 55 + 60 + 50 + 40
= Rs. 270 crore
Total export of all countries together in 2001
= 45 + 50 + 90 + 15 + 100 + 75
= Rs. 375 crore

\begin{aligned} ∴ Required % increase \\ = \frac{375 - 270}{270} \times 100 \\ = \frac{105}{270} \times 100 \\ = \frac{350}{9} % \\ = 38.88 % \\ \approx 38.89 % \end{aligned}

68. Study the table carefully and answer the given questions.
Total exports of six countries over five years (in Rs. crore)
Profit = Exports - Imports.

Years → 1998 1999 2000 2001 2002

Country ↓

P 20 40 60 45 90

Q 30 25 15 50 100

R 50 55 70 90 65

S 45 60 20 15 25

T 60 50 55 100 110

U 24 40 60 75 120

If the ratio of export to import in country S and country U is 1 : 2 and 4 : 1 in the year 1998, then what is the total import of country U and S together in that particular years ? (in Rs. crore)

A. Rs. 52 crore

B. Rs. 92 crore

C. Rs. 96 crore

D. Rs. 65 crore

Discuss

Solution:

Import of company S in the year
1998 =

\frac{45 \times 2}{1}

= Rs. 90 crore
Import of company U in the year
1998 = 24 ×

\frac{1}{4}

= Rs. 6 crore
Total import of company U and S together in 1998
= Rs. (90 + 6)
= Rs. 96 crore

69. Study the table carefully and answer the given questions.
Total exports of six countries over five years (in Rs. crore)
Profit = Exports - Imports.

Years → 1998 1999 2000 2001 2002

Country ↓

P 20 40 60 45 90

Q 30 25 15 50 100

R 50 55 70 90 65

S 45 60 20 15 25

T 60 50 55 100 110

U 24 40 60 75 120

By what percent is the average export of country T over all the given years more than the average export of country R over all the given years?

A. $13 \frac{7}{11}$ %

B. $9 \frac{1}{11}$ %

C. $13 \frac{5}{7}$ %

D. $4 \frac{7}{11}$ %

Discuss

Solution:

Total export of country T
= 60 + 50 + 55 + 100 + 110
= 375
Average export of country T
=

\frac{375}{5}

= Rs. 75 crore
Total export of country R
= 50 + 55 + 70 + 90 + 65
= 330
Average export of country R
=

\frac{330}{5}

= Rs. 66 crore

\begin{aligned} ∴ Required % \\ = \frac{75 - 66}{66} \times 100 \\ = \frac{9}{66} \times 100 \\ = \frac{150}{11} % \\ = 13 \frac{7}{11} % \end{aligned}

70. Study the table and answer the given questions.

I. Net revenue = Gross revenue - Amount allocated for commission – Amount allocated for discount and others.
II. Few values are missing in the table (indicated by - ). A candidates is expected to calculate the missing value, It is required to answer the given question on the basis of the given data and the information.

Months Gross Revenue Amount Allocated for Commission Amount Allocated for Discount and Offer Net Revenue

March Rs. 360000 Rs. 31200 - -

April Rs. 320000 Rs. 28000 Rs. 16000 -

May - - Rs. 36000 Rs. 336000

June - Rs. 42000 Rs. 30200 Rs. 330000

July - Rs. 40000 Rs. 28000 Rs. 362000

Amount allocated for commission in March is what percent less than the amount allocated for commission in July ?

A. 24%

B. 18%

C. 28%

D. 32%

Discuss

Solution:

Amount collected for commission in March = 31200
Amount collected for commission in July = 40000
∴ Required percentage
=

\frac{8800}{40000}

× 100
= 22%

School →	A		B		C		D		E
Year ↓	Boys	Girls	Boys	Girls	Boys	Girls	Boys	Girls	Boys	Girls
2005	3.3	3.6	5.2	3.1	5.5	4.5	2.4	1.4	6.5	6.6
2006	6.6	4.2	4.9	2.2	6.9	3.3	4.4	2.3	5.5	3.6
2007	9.3	6.9	4.7	4.2	5.8	4.9	6.4	3.3	2.7	2.4
2008	5.4	9.6	6.3	5.4	6.6	5.2	5.3	5.4	5.4	5.7
2009	8.4	12.9	7.5	5.9	8.7	6.6	12.1	5.2	6.8	6.5
2010	12.3	14.4	9.8	4.4	11.7	4.2	12.2	9.4	10.8	12.7

Years →	1998	1999	2000	2001	2002
Country ↓	1998	1999	2000	2001	2002
P	20	40	60	45	90
Q	30	25	15	50	100
R	50	55	70	90	65
S	45	60	20	15	25
T	60	50	55	100	110
U	24	40	60	75	120

Months	Gross Revenue	Amount Allocated for Commission	Amount Allocated for Discount and Offer	Net Revenue
March	Rs. 360000	Rs. 31200	-	-
April	Rs. 320000	Rs. 28000	Rs. 16000	-
May	-	-	Rs. 36000	Rs. 336000
June	-	Rs. 42000	Rs. 30200	Rs. 330000
July	-	Rs. 40000	Rs. 28000	Rs. 362000