Saturday, 30 July 2022

Tabulation/SSC/BANK/PET

                              MATHS & REASONING BY - DR V K OMAR


Question: 1

In July, if 40% of the Gross revenue of the magazine was collected from advertisement, what was the amount of Gross revenue collected from advertisement in that particular month?

जुलाई में, यदि पत्रिका के सकल राजस्व का 40% विज्ञापन से एकत्र किया गया था, तो उस विशेष महीने में विज्ञापन से एकत्रित सकल राजस्व की राशि क्या थी?

(A) Rs. 144000

(B) Rs. 148000

(C) Rs. 172000

(D) Rs. 182000


Ans: C

Gross revenue of July collected from advertisement

= 362000 + 28000 + 40000

= 390000 + 40000 = 430000

Gross revenue collected from advertisement

430000×

40
100

= 4300 × 40 = Rs. 172000.

Question: 2

What is the difference between Net revenue of the magazine in April and its Gross revenue in June?

अप्रैल में पत्रिका के शुद्ध राजस्व और जून में उसके सकल राजस्व के बीच क्या अंतर है?

(A) Rs. 118000

(B) Rs. 124000

(C) Rs. 126000

(D) Rs. 136000


Ans: C

Net revenue in April = 320000 – 44000 = Rs. 276000

Gross revenue in June = 330000 + 72000 = Rs. 402000.

Required difference = 402000 – 276000 = Rs. 126000.

Question: 3

In May, the respective ratio of amount allocated for commission and amount allocated for discount and others was 4 : 3. What was the Gross revenue of the magazine in May?

मई में, कमीशन के लिए आवंटित राशि और छूट और अन्य के लिए आवंटित राशि का संबंधित अनुपात 4:3 था। मई में पत्रिका का सकल राजस्व क्या था?

(A) Rs. 380000

(B) Rs. 420000

(C) Rs. 430000

(D) Rs. 435000


Ans: B

In May, ratio of amount allocated for commission and

Amount allocated for discount = 4 : 3.

In May, amount allocated for commission = 4 × 12000 and 3 × 12000.

Amount allocated for discount = 48000 and 36000

∴ Gross revenue in May net revenue + amount allocated for commission = 336000 + 84000 = Rs. 420000.

Question: 4

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

मार्च में कमीशन के लिए आवंटित राशि जुलाई में कमीशन के लिए आवंटित राशि से कितना प्रतिशत कम है?

(A) 22%

(B) 24%

(C) 26%

(D) 28%

Ans: A

Amount collected for commission in March = 31200

Amount collected for commission in July = 40000.

Required percentage = 

8800
40000

×100 = 22%.

Question: 5

In March, if Net revenue of the magazine was 85% of its Gross revenue, what was the amount allocated for discount and others?

मार्च में, यदि पत्रिका का शुद्ध राजस्व उसके सकल राजस्व का 85% था, तो छूट और अन्य के लिए आवंटित राशि क्या थी?

(A) Rs. 22400

(B) Rs. 22800

(C) Rs. 23200

(D) Rs. 24200


Ans: B

In March,

Net revenue = 360000×

85
100

 = 306000

∴ Amount allocated for discount and others

= 360000 – 306000 – 31200 = 54000 – 31200 = 22800.


The following table gives the percentage of marks obtained by 7 students in 6 different subjects in an examination. Study the table and answer the questions based on it.

Pie chart

Question: 1

What was the aggregate of marks obtained by Sajal in all the six subjects?

सजल द्वारा सभी छह विषयों में प्राप्त अंकों का योग कितना था?

(A) 429

(B) 439

(C) 449

(D) 459

Ans: C

Aggregate marks obtained by Sajal

= (90% of 150) + (60% of 130) + (70% of 120) + (70% of 100) + (90% of 60) + (70% of 40)

= (135 + 78 + 84 + 70 + 54 + 28) = 449.

Question: 2

The number of students who obtained 60% and above marks in all the subjects is

सभी विषयों में 60% और उससे अधिक अंक प्राप्त करने वाले छात्रों की संख्या है

(A) 1

(B) 2

(C) 3

(D) 4

Ans: B

From the given table it is clear that Sajal and Rohit obtained 60% or more marks in each of the 6 subjects.

Question: 3

What is the overall percentage of Tarun?

तरुण का कुल प्रतिशत कितना है?

(A) 55%

(B) 60%

(C) 63%

(D) 64.5%

Ans: B

Aggregate marks obtained from Tarun

= (65% of 150) + (35% of 130) + (50% of 120) + (77% of 100) + (80% of 60) + (80% of 40)

= (97.5 + 44.5 + 60 + 77 + 48 + 32) = 360.

Total maximum marks of all the 6 subjects

= (150 + 130 + 120 + 100 + 60 + 40) = 600.

Overall percentage of Tarun = (

360
600

×100)% = 60%.

Question: 4

What are the average marks obtained by all the seven students in Physics? (rounded off to two digits after decimal)

भौतिकी में सभी सात छात्रों द्वारा प्राप्त औसत अंक क्या हैं? (दशमलव के बाद दो अंकों तक पूर्णांकित)

(A) 77.26

(B) 79.14

(C) 89.14

(D) 91.37

Ans: C

Total marks obtained in Physics by all the 7 students

= (90% of 120) + (80% of 120) + (70% of 120) + (80% of 120) + (85% of 120) + (65% of 120) + (50% of 120)

= (108 + 96 + 84 + 96 + 102 + 78 + 60) = 624.

∴ Average marks obtained by them in Physics = 

624
7

 = 89.14.

Study the table carefully and answer the questions.

Pie chart

Question: 1

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?

वर्ष 2002 में सभी देशों का एक साथ लाभ कितना था यदि सभी देशों का कुल आयात एक साथ रु। 385 करोड़?

(A) Rs. 85 crore

(B) Rs. 125 crore

(C) Rs. 160 crore

(D) Rs. 280 crore

Ans: B

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.

Question: 2

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?

यदि वर्ष 1998 में देश S और देश U में निर्यात का आयात से अनुपात 1:2 और 4:1 है, तो उस विशेष वर्ष में देश U और S का कुल आयात कितना है?

(A) 52

(B) 62

(C) 82

(D) 96

Ans: D

Import of company S in the year 1998

45×2
1

 = 90 crore.

Import of company U in the year 1998

24×

1
4

 = 6 crore.

Total import of company U and S together in 1998

= Rs. (90 + 6) = 96 crore.

Question: 3

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?

यदि वर्ष 2003 में देश P का निर्यात 2001 में देश Q के कुल निर्यात और 2000 में देश T के निर्यात से 20% अधिक है, तो वर्ष 2003 में P का लाभ कितना था यदि इसका आयात रु। उस वर्ष के लिए 92 करोड़?

(A) 10

(B) 22

(C) 34

(D) 46

Ans: C

Total export of country Q in 2001 = Rs. 50 crore.

Total export of country T in 2000 = Rs. 55 crore.

Total export = 50 + 55 = 105 crore.

Now, total export of country P in 2003 = 

105×120
100

 = 126 crore.

Total import of country P in 2003

= Rs. 92 crore. Profit = 126 – 92 = Rs. 34 crore.

Question: 4

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?

सभी दिए गए वर्षों में देश T का औसत निर्यात सभी दिए गए वर्षों में देश R के औसत निर्यात से कितने प्रतिशत अधिक है?

(A) 13

5
7

%

(B) 13

7
11

%

(C) 9

1
11
%

(D) 4

7
11
%
Ans: B

Total export of country T = 60 + 50 + 55 + 110 + 110 = 376

Average export of country T = 

375
5

 = Rs. 75 crore.

Total export of country R = 50 + 55 + 70 + 90 + 65 = 330

Average export of country R = 

330
5

 = Rs. 66 crore.

Required % = 

7566
66

 × 100 = 

9
66

 × 100 = 

150
11

% = 13

7
11

%.

Question: 5

What is the percent increase in the export of all the countries together during the year 1992 to 2001?

सभी वर्ष वर्ष में जितने भी वर्ष हों उतने वर्ष में कितने वर्ष के लिए?

(A) 38.89%

(B) 40.60%

(C) 62.89%

(D) 72.39%

Ans: A

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.

Required % increase

375270
270

×100 = 

105
11

×100 = 

350
9

% = 38.88% = 38.89%.

Study the given table carefully and answer the questions that follow. Number of candidates appeared and qualified for a test (in hundreds) in 6 different years from 5 different zones.

Pie chart

Question: 1

Study the given table carefully and answer the questions that follow.
Number of candidates appeared and qualified for a test (in hundreds) in 6 different years from 5 different zones.

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

ज़ोन में किस वर्ष में उपस्थित उम्मीदवारों और योग्य उम्मीदवारों के बीच का अंतर दूसरा सबसे कम था?

(A) 2005

(B) 2006

(C) 2007

(D) 2008

Ans: C

In zone S, the difference between the appeared candidates and the qualified candidates in various year 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

It was lowest in 2005 and second lowest in 2007.

Question: 2

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?

वर्ष 2010 में जोन R से परीक्षा उत्तीर्ण करने वाले उम्मीदवारों की संख्या वर्ष 2008 में जोन Q से उपस्थित होने वाले उम्मीदवारों की संख्या का लगभग कितना प्रतिशत थी?

(A) 132

(B) 137

(C) 142

(D) 152

Ans: B

Required percentage = (

7.4
5.4

×100)% = 

3700
27

% = 137%.

Question: 3

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

2010 में भविष्य में आने वाले भविष्य की गणना भविष्य में भविष्य में होने वाले भविष्य की भविष्यवाणी की जा सकती है?

(A) 805

(B) 810

(C) 820

(D) 830

Ans: A

Average number of candidates appeared from T all over the years = 

(6.2+6.2+6.4+7.8+9.9+11.8)×100
6

 = 

(48.3×100)
6

 = 

4830
6

 = 805.

Question: 4

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

वर्ष 2005 में ज़ोन P से उपस्थित होने वाले उम्मीदवारों की संख्या का वर्ष 2007 में ज़ोन S से योग्य उम्मीदवारों की संख्या से अनुपात कितना था?

(A) 4 : 1

(B) 4 : 3

(C) 4 : 7

(D) 9 : 4

Ans: C

Required ratio = 

3.2
5.6

 = 

32
56

 = 

4
7

 = 4 : 7.

Question: 5

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

वर्ष में दूसरे स्थान पर परीक्षा उत्तीर्ण करने वाले उम्मीदवारों की कुल संख्या किस क्षेत्र से थी?

(A) P

(B) Q

(C) S

(D) T

Ans: D

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) = 116,

R → (6.8 + 7.4) = 14.2.

S → (5.2 + 11.4) = 16.6,

T → (6.9 + 9.4) = 16.3.

It was highest from zone S and second highest from zone T.

Study the following table and answer the questions that are given below.

Pie chart

Question: 1

Study the following table and answer the questions that are given below.
The ratio between the total expenditure on Taxes for all the years and the total expenditure of Fuel and Transport for all the years respectively, is approximately

सभी वर्षों के लिए करों पर कुल व्यय और सभी वर्षों के लिए ईंधन और परिवहन के कुल व्यय के बीच का अनुपात लगभग है

(A) 2 : 3

(B) 4 : 7

(C) 5 : 6

(D) 10 : 13

Question: 2

The total expenditure of the company over these items during the year 2009 is

वर्ष 2009 के दौरान इन मदों पर कंपनी का कुल व्यय है

(A) Rs. 478.87 lakhs

(B) Rs. 501.11 lakhs

(C) Rs. 544.44 lakhs

(D) Rs. 612.13 lakhs

Ans: C

Total expenditure during 2009 = Rs. (324 + 101 + 3.84 + 41.6 + 74) lakh. = 544.44 lakh.

Question: 3

What is the average amount of interest per year which the company had to pay during this period?

इस अवधि के दौरान कंपनी को प्रति वर्ष ब्याज की औसत राशि कितनी चुकानी पड़ी?

(A) Rs. 34.18 lakhs

(B) Rs. 35.69 lakhs

(C) Rs. 36.66 lakhs

(D) Rs. 38.66 lakhs

Ans: C

Total amount of interest paid during the period

= Rs. (23.4 + 32.5 + 41.6 + 36.4 + 49.4) lakhs = 183.3 lakhs.

Average amount of interest paid per year

= Rs. (

183.3
5

)lakh = Rs. 36.66 lakh.

Question: 4

The total number of bonus paid by the company during the given period is approximately what percent of the total amount of salary paid during this period?

दी गई अवधि के दौरान कंपनी द्वारा भुगतान किए गए बोनस की कुल संख्या इस अवधि के दौरान भुगतान किए गए वेतन की कुल राशि का लगभग कितना प्रतिशत है?

(A) 0.1%

(B) 0.5%

(C) 0.7%

(D) 1%

Ans: D

Total amount of bonus paid = Rs. (3 + 2.52 + 3.84 + 3.68 + 3.96) lakh = 17 lakh.

Total amount of salary paid = Rs. (288 + 342 + 324 + 336 + 420) lakh. = 170 lakh.

Required % = (

17
1710

×100)% = 

170
171

 = 0.99% = 1%.


Question: 1

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?

वर्ष 2008 में स्कूल D में लड़कों की संख्या में पिछले वर्ष की तुलना में लगभग कितने प्रतिशत की कमी है?

(A) 5%

(B) 9%

(C) 12%

(D) 17%

Ans: D

Number of boys in School D in 2007 = (6.4 x 100) = 640.

Number of boys in School D in 2008 = (5.3 x 100) = 530.

Decrease % = (

110
640

x100)% = 

275
16

% = 17.1% = 17%.

Question: 2

The number of girls in School B in the year 2009 is approximately what percent of the total number of students in School E in the year 2006?

वर्ष 2009 में स्कूल B में लड़कियों की संख्या वर्ष 2006 में स्कूल E में छात्रों की कुल संख्या का लगभग कितना प्रतिशत है?

(A) 52%

(B) 58%

(C) 60%

(D) 65%

Ans: D

Number of girls in School B in 2009 = (5.9 x 100) = 590.

Total number of students in School E in 2006 = (5.5 + 3.6) × 100 = (9.1 × 100) = 910.

Required % = (

590
910

×100)% = 

5900
91

%. = 64.8% = 65%(nearly).

Question: 3

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

सभी वर्षों को मिलाकर स्कूल A में लड़कियों की औसत संख्या कितनी है?

(A) 600

(B) 760

(C) 800

(D) 860

Ans: D

Average number of girls in School A over the years

=

(3.6+4.2+6.9+9.6+12.9+14.4)×100
6

(

51.6×100
6

) = 

5160
6

 = 860.

Question: 4

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?

वर्ष 2009 में स्कूल C में लड़कों की संख्या का वर्ष 2009 में स्कूल A में लड़कियों की संख्या से अनुपात कितना है?

(A) 29: 41

(B) 29 : 43

(C) 36 : 11

(D) 36 : 13

Ans: B

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

= (8.7 x 100) : (12.9 x 100)

870
1290

 = 

29
43

 = 29 : 43.

Question: 5

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

किस वर्ष स्कूल E में छात्रों की कुल संख्या तीसरे सबसे अधिक है?

(A) 2005

(B) 2006

(C) 2007

(D) 2008

Ans: B

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, 2nd highest in 2009 and third highest in 2005.



Question: 1

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

उत्पादन विभाग में महिलाओं की संख्या का विपणन विभाग में महिलाओं की संख्या से संबंधित अनुपात कितना है?

(A) 22 : 23

(B) 23 : 22

(C) 33 : 35

(D) 35 : 33

Ans: B

Number of females in Production : Number of females in Marketing

(900×

23
100

) : (450×

44
100

) = 207 : 198 = 23 : 22.

Question: 2

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

सभी विभागों में मिलाकर कर्मचारियों की कुल संख्या कितनी है?

(A) 3030

(B) 3140

(C) 3310

(D) 3260

Ans: C

Total number of employees in all the departments

= (840 + 220 + 900 + 360 + 450 + 540) = 3310.

Question: 3

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

मानव संसाधन विभाग में कर्मचारियों की कुल संख्या लेखा विभाग में कर्मचारियों की कुल संख्या का लगभग कितना प्रतिशत है?

(A) 149%

(B) 157%

(C) 164%

(D) 178%

Ans: C

Required percentage = (

360
220

×100)% = 163.6% = 164%.

Question: 4

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

आईटी और ग्राहक सेवा विभागों में मिलाकर पुरुषों की कुल संख्या कितनी है?

(A) 687

(B) 768

(C) 786

(D) 876

Ans: C

Total number of males in IT and Customer service

(840×
55
100
)
+(540×
60
100
)
=
(462 + 324) = 786.

Question: 5

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

मानव संसाधन और लेखा विभागों में मिलाकर महिलाओं की संख्या का समान विभाग में मिलाकर पुरुषों की संख्या से अनुपात कितना है?

(A) 268 : 311

(B) 311 : 269

(C) 319 : 268

(D) 329 : 368

Ans: B

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

(

65
100

×360)+(

35
100

×220):(

35
100

×360)+(

65
100

×220)

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


Question: 1

In July, if 40% of the Gross revenue of the magazine was collected from advertisement, what was the amount of Gross revenue collected from advertisement in that particular month?

जुलाई में, यदि पत्रिका के सकल राजस्व का 40% विज्ञापन से एकत्र किया गया था, तो उस विशेष महीने में विज्ञापन से एकत्रित सकल राजस्व की राशि क्या थी?

(A) Rs. 144000

(B) Rs. 148000

(C) Rs. 172000

(D) Rs. 182000

Ans: C

Gross revenue of July collected from advertisement

= 362000 + 28000 + 40000

= 390000 + 40000 = 430000

Gross revenue collected from advertisement

430000×

40
100

= 4300 × 40 = Rs. 172000.

Question: 2

What is the difference between Net revenue of the magazine in April and its Gross revenue in June?

अप्रैल में पत्रिका के शुद्ध राजस्व और जून में उसके सकल राजस्व के बीच क्या अंतर है?

(A) Rs. 118000

(B) Rs. 124000

(C) Rs. 126000

(D) Rs. 136000

Ans: C

Net revenue in April = 320000 – 44000 = Rs. 276000

Gross revenue in June = 330000 + 72000 = Rs. 402000.

Required difference = 402000 – 276000 = Rs. 126000.

Question: 3

In May, the respective ratio of amount allocated for commission and amount allocated for discount and others was 4 : 3. What was the Gross revenue of the magazine in May?

मई में, कमीशन के लिए आवंटित राशि और छूट और अन्य के लिए आवंटित राशि का संबंधित अनुपात 4:3 था। मई में पत्रिका का सकल राजस्व क्या था?

(A) Rs. 380000

(B) Rs. 420000

(C) Rs. 430000

(D) Rs. 435000

Ans: B

In May, ratio of amount allocated for commission and

Amount allocated for discount = 4 : 3.

In May, amount allocated for commission = 4 × 12000 and 3 × 12000.

Amount allocated for discount = 48000 and 36000

∴ Gross revenue in May net revenue + amount allocated for commission = 336000 + 84000 = Rs. 420000.

Question: 4

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

मार्च में कमीशन के लिए आवंटित राशि जुलाई में कमीशन के लिए आवंटित राशि से कितना प्रतिशत कम है?

(A) 22%

(B) 24%

(C) 26%

(D) 28%

Ans: A

Amount collected for commission in March = 31200

Amount collected for commission in July = 40000.

Required percentage = 

8800
40000

×100 = 22%.

Question: 5

In March, if Net revenue of the magazine was 85% of its Gross revenue, what was the amount allocated for discount and others?

मार्च में, यदि पत्रिका का शुद्ध राजस्व उसके सकल राजस्व का 85% था, तो छूट और अन्य के लिए आवंटित राशि क्या थी?

(A) Rs. 22400

(B) Rs. 22800

(C) Rs. 23200

(D) Rs. 24200

Ans: B

In March,

Net revenue = 360000×

85
100

 = 306000

∴ Amount allocated for discount and others

= 360000 – 306000 – 31200 = 54000 – 31200 = 22800.


Tabulation (MCQ )

Number of Boys and Girls in Five Streams of a College Over the Years Streams

 ArtScienceCommerceManagementIT
YearBoysGirlsBoysGirlsBoysGirlsBoysGirlsBoysGirls
2002556414619505668612770633670515
2003763608793612781616667439866722
2004672519540516859713778727781619
2005809602928908870811849729977817
2006745510884820967819562938990808
20076984137656165715151288101611511010

Directions: Study the following table carefully to answer the questions that follow:

1. What is the total number of boys, for all the streams together, in the year 2004?
वर्ष 2004 में, सभी धाराओं में मिलाकर लड़कों की कुल संख्या कितनी है?
(a) 4148 
(b) 3630
(c) 4433 
(d) 3247
2. The number of boys in Arts stream in the year 2004 is approximately what percent of the total number of boys for all the years together in Arts stream?
वर्ष 2004 में आर्ट्स स्ट्रीम में लड़कों की संख्या सभी वर्षों में आर्ट्स स्ट्रीम में लड़कों की कुल संख्या का लगभग कितना प्रतिशत है?
(a) 27 
(b) 34
(c) 08 
(d) 16
3. What is the ratio of the total number of boys to the total number of girls, from all the streams together, for the year 2007?
वर्ष 2007 के लिए, सभी धाराओं से मिलाकर, लड़कों की कुल संख्या का लड़कियों की कुल संख्या से अनुपात कितना है?
(a) 2 : 3 
(b) 14 : 13
(c) 52 : 49 
(d) 213 : 170
4. What is the ratio of the total number of boys to the total number of girls, in the Management stream for all the years together?
सभी वर्षों को मिलाकर मैनेजमेंट स्ट्रीम में लड़कों की कुल संख्या का लड़कियों की कुल संख्या से अनुपात कितना है?
(a) 9 : 8 
(b) 71 : 86
(c) 91 : 83 
(d) 27 : 23
















































































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