faculty of mgmt and social sciences

8/22/2019 Faculty of Mgmt and Social Sciences

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AMBROSE ALLI UNVERSITY, EKPOMA2008/2009 Post Jamb Screening Exercise

Option - Management Sciences

Time - 10minutesInstruction - Answer ALL Questions

1. A market situation where exist only one seller and many buyers is called what?2. What is the full meaning of OMO?3. A government by the people, for the people and of the people is called what?4. What is the full meaning of NAFDAC and who is the Director of NAFDAC?5. In a legislative process, a bill is referred to as 6. Who was the first Executive President of Nigeria?7. How many different committees of 4 can be selected from 10 people?8. If 5, x, y 40 are in Goemetric progression, find x and y respectively.9. Calculate the compound interest on N20,000 for 2 year at 10% per annum.10. The width of a rectangle is 6m shorter than its length. If the area of the rectangle is 216m 2 , find

the perimeter of the rectangle.


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ANSWERS TO 2008/2009 SESSION

MANAGEMENT SCIENCE

1. A cheque is not money because it can be conditionally dishonoured. This contradicts the generalacceptability of money for exchange of goods and services

2. INEC stands for Independent National Electoral Commission. The chairman of the commission asat 2008 was Malam Nuhu Ribadu.

The new/current chairman is now Professor Attahiru Jega.

3. EFCC stands for Economics and Financial Crimes Commission.The chairman as at 2008 was Mrs. Farida Waziri

The current chairman is now Mr. Ibrahim Waziri

4. Nigeria as an Independent democratic political unit is called a country.5. There are 774 Local Governments in Nigeria.6. The three tiers of government include

The Federal Government The State Government The Local GovernmentThe three organs of Government include:

The Executive The Legislature The Judiciary

7.

The most popular and generally accepted definition of economics was given by Prof. LionelRobbins. According to him, Economics can be defined as a social science which studies humanbehavior as a relationship between ends and scarce means which have alternative uses.

8. An angle on a straight line is 18009. A scalene is a triangle with no side or angle equal.10.Mean (-x) = xi

n

= 5+6+7+7+7+107

=49

7

= 7The mode is the most appearing number. Thus, the mode in the distribution is = 7


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MANAGEMENT SCIENCE

1. Monopoly is the only market structure where there is only one seller but many buyers e.g. PHCN inNigeia

2. OMO stands for Open Market operation. It is one of the techniques used by the Apex Bank (CentralBank) to control commercial banks. In order to reduce the volume of money in circulation.

3. Democracy4. NAFDAC stands for National Agency for food and drugs administration and control.5. In a legislative process, a bill is an acceptd motion in the floor of the House.6. The first Executive President of Nigeria was Alhaji Shehu Shagari (1979).7. Since the word selection has been used, it means combination in futher mathematics

nCr =

From the question

n = 10r = 410

C4 =

=

=

=

= 10x3x7= 210 ways

7. In Geometric Progressionn

th= ar

n-1

From the question,

First term (a) = 5

Fourth term (ar3) = 40

ar3 = 40

since a =5

5(r3

)

r3

=5

r3

= 8

r =

r = 2

Therefore x which is the second term in the sequence = ar

x = 5 x 2

x = 10

y = ar2

y = 5(2)2

y = 5 x4

y = 20x =2, y = 20


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8. Amount = P )nWhere r = rate

n = number of years

Amount = 20,000 2

= 20,000 (1.1)2

= 20,000 x 1.21= N24,000

Therefore, compound interest = Amount principle

=24,200 20,000

=N4,200

9. Let the Length be x mTherefore width = (x 6)m

Area = length x width

216 = x (x- 6)

216 = x2

6x

x2

6x 216 = 0

Solving this quadratically either by the use of factorization or general method.

x = 18 or 12

By ignoring the negative value of xPerimeter =2(L + b)

=2(18 + (18 6))

=2(18 + 12)

=2(30)

=60m


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AMBROSE ALLI UNIVERSITY, EKPOMA2009/2010 Post Jamb Screening Exercise

Option - Management Sciences

Time - 10 Minutes

Instruction - Answer All Questions

Choose the expression or word that best completes each sentence from question 1-5

1. After their meeting the two Presidents issued a calling for peace in the war-torn area(a)Bulletin(b)Memorandum(c)Dialogue(d)Communiqu

2. The wife insisted that she should also be a . to the familys joint saving account(a)Signature(b)Payee(c)Guarantor(d)Signatory

3. Dont be so .. as to push your nose into peoples affairs(a)Concerned(b)Inquisitive(c)Disrespectful(d)Over bearing

4. The meeting was held under the of a social club(a)Jurisdiction(b)Influence(c)Auspices(d)agreement

5. Cosmetics are sometimes used to cover the .. of nature(a)Deficits(b)Defects(c)Default(d)Demands

6. Simplify )(a)(b)(c)(d)3

7. Find the tax on an income of N20,000, if no tax is paid at N10,000 and tax is paid at N50 in N1,000on the next N5,000 and N55 in N1,000 on the remainder

(a)N552(b)N525


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(c)N255(d)N520(e)N205

8. The Prime factors of 2520 are(a)2, 3, 7, 9(b)2, 9, 5(c)2, 9, 7(d)2, 5, 9, 7(e)2, 3, 5, 7

9. The sum of six angle of a nonagon is 11100. If the other three angles are equal; determine the size ofone of the equal angles

(a)500(b)600(c)700(d)800(e)900

10.Find 1 + tan , if cos =x/y(a)x2/y2(b)y2/x2(c)y2/2(d)x2 + y2/y2 x2(e)2x2 + y2/x2 + y2

11. Onosetale deposited N150.00 in the bank. At the end of 5 years, the simple interest on the principalwas N55.00. At what rate per annum was the interest paid?

(a)(b)3(c)(d)5%(e)1 %

12.Simplify x81

-3/4x (243)

3/5

(a) 2/5(b)2/3(c) 1/9(d)

13.Find t if log 4+ log 7 log t= 1(a)29(b)7(c)12(d)14/5(e)10


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14.A number x selected at random from 41 to 56. What is the probability that the number selected is amultiple of 9?(a) 1/8

(b) 2/15(c) 1/16

(d) 5/8

(e) 7/8

15.The mean of ten positive numbers is 16. When another number is added, the mean becomes 18. Whatis the value of the eleventh number?

(a)28(b)38(c)18(d)16(e)3

16.The curve surface area of a cone with circular base diameter 10cm and height 12cm is?(a)65^ cm2(b)120 ^cm2(c)25^ cm2(d)56^ cm2

17.For an arithmetic sequence, the first term is 2 and the common difference is 3. What is the sum of thefirst eleven terms?

(a)157(b) 197(c) 200(d) 187(e) 150

18.If 34x = 100112 what is the value of 3?(a)7(b) 8(c) 5(d) 6(e) 4

19.Evaluate the value of x if 27 x = 81 (a)2(b) 1(c) 0(d) 3(e) -1

20.Calculate the standard deviation of the following data in the table belowClass 1-3 4-6 7-9

Frequency 5 8 5

(a)1.4(b) 1.2(c) 3.0(d) 2.2(e) 2.0


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21.An upward movement along the same supply curve results in(a)an increase in supply(b)an increase in quantity supply(c)a decrease in quantity supply(d)a decrease in price

22.To protect farmers during a bumper harvest, the government usually(a)set a minimum price(b)set a maximum price(c) release products from the buffer stock(d)sell the excess to consumers

23.which of these producers is closest to being a monopolist?(a)a wheat farmer(b) a baker(c) a large chain store(d) an automobile plant

24.The output approach to national income is based on this computation of(a) final output(b)value added(c) factor cost(d)profits earned

25.An example of infection into the circular flow income is(a)experts(b)taxes(c) imports(d)pensions

26.The high rate of inflation in Nigeria can be attributed to(a) Increasing cost of production(b)Decreasing cost of production(c)High capacity utilization(d)The appreciation of the naira

27.The effects of instability in farmers income in Nigeria is due to(a) lack of infrastructure facilities(b)rural urban migration(c) low level of technology(d)inadequate supply of fertilizer

28.A major impediment to the development of agriculture in Nigeria is(a) land use system(b)low income farmers(c) limited research seedlings(d)inadequate supply of farm inputs

29.An example of an indirect tax is(a)profit tax


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(b)sales(c)poll tax(d)capital gains tax

30.The activities in the oil gas industry are classified into(a)exploration and transportation(b)discovered and extraction(c) inshore and off-shore(d)upstream and downstream

31.An inverse relationship between interest rate and demand for money means?(a)an interest rises, demand for money rises(b)as interest rises, demand for money falls(c)as interest rises, demand for money remains constant(d)as interest rate rises, there is zero demand for money.

32.The theoretical relationship between money supply and prices is weakened by change in(a)money supply(b)interest rate(c)velocity of money(d)general price level

33.The cost of kerosene per litre increases from N60 to N85. What is the percentage rate of increase?(a)42%(b)41%(c)40%(d)35%

34.Rule of law emphasizes(a)Military power of the state(b)the power of the president(c)supremacy of law(d)election rigging

35.Fundamental Human Rights(a)are those rights given to us by our parents(b)rights from our various religions(c) those rights permitted by the police(d)are rights that are basic and essential to human existence that every citizen must enjoy

36.A constitution can be defined as(a)proclamation by the governor(b)a collection of norms or standard with which a country is governed(c) law by the road safety(d)village laws

37.A written constitution is that which(a) is well printed(b)can be found in one document(c) is imported(d)is given to us by our force fathers


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38.Constitution is said to be flexible when(a) it can easily be broken(b)it can be amended without lengthy or difficult process(c) it is untouchable(d)it can easily be passed into law

39.A unitary system of government exists when(a) there is no government(b)is only one house of assembly(c) the central government is supreme over other levels of government(d)there are two legislature

40.The principle of checks and balance(a)prevent any organ of government from becoming too powerful(b)allows for competition(c)allows for fusion of power(d)one organ of government can assist the other

41.The Oyo empire is believed to have been founded by(a)Alafin(b)Oyo mesi(c)Aloa Alaka(d)Organ gam

42.The succession to the Benin throne is by(a)selection(b)selection by gods(c)primogeniture(d)appointed by the Iyase

43.Some of the features of the Igbo pre-colonial system were(a)authoritarian and despotism(b)dictatorial callousness(c)democratic and republican(d)centralization of power

44.The pre-colonial Hausa-Fulani political system was(a)highly centralized(b)decentralized(c) republican(d)the Emir had no religious functions

45.Which of the territories were British colonized territories(a)Libya and Ethiopia(b)Gambia and Uganda(c)Nigeria and Ghana(d)Gold Coast and Ivory Coast

46.Examples of countries practicing unitary system of government include(a)Nigeria and Canada(b)Italy and Sweden(c)USA and Australia


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(d)India and France47.Who introduced the indirect rule system in British West Africa?

(a)Dr. Azikiwe(b)Donald Cameroon(c)Sir Frederick Lugard(d)Chief Obafemi Awolowo

48.The first military coup in Nigeria was in(a)1960(b)1963(c)1999(d)1966

49.Which of the following countries has a unicameral legislature(a)Nigeria(b)Ghana(c)Gambia(d)Mali


FACULTY OF MANAGEMENT AND SOCIAL SCIENCES

1. Bulletin an official statement that tells people about something importantMemorandum a short legal document that contains the important details of an agreement.

Dialogue a discussion between two groups, countries etc

Communiqu an official report or announcementCorrect answer is communiqu.

Option D

2. Signatory meaning one of the persons that sign an official agreementOption D

3. Inquisitive asking too many questions and trying to find out too many details.Option B

4. Jurisdiction - The right to use an official power to make legal decisionAuspices - Help and support of a particular organization or personInfluence - The power to affect the way something develops

Agreement - Consensus

Correct answer is Auspices

Option C

5. Deficits - ShortfallDefects - flaws

Default - not to do something that you are supposed to do

Demand - need or desire

Correct option is Defects

Option B


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6. SimplifyUsing BODMAS

Option A

7. Taxable income = N10,000Tax on the N5,000 = 50x5

N250

Tax on the remaining N5,000

= 55x5

N275Total tax = 250 + 275

=N525

Option BPrime numbers are numbers divisible by itself and one only. Note, 9 is not a prime number, therefore

the correct option should not contain 9.

8. By working2 2520

2 1260

2 6303 315

3 105

5 35

7 7

1

Prime factors = 2,3,5,7 Option E

9. A nonagon has 9 sidesLet one of the equal angle be x

Sum of all the interior angles of a nonagon = (n 2) 180=(9 -2) 180

=(7) 180

= 1260

Sum of the remaining 3 equal angles= 1260 1110 = 150

3x = 150

150

X = 3 = 500

Option A

10.1+tanCos = x/y


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Cos=

Using Pythagoras rule

y2

= opp2

+ x2

y2

x2

= opp2

opp =

Tan =

Tan=

Tan= 1 +

X +

No Correct option

11. Principal = N150Time = 5years

Interest = N55

Rate =?

I =

55 =

55 =

55 = 7.5 R

R =

y

x

opp


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R = 7.333%

1 Option C

1 x 1

12. Simplify 381

- x (243)

3/5

1 x 1

Numerator 3

= 1 x 1

3 3

= 1 x 1

3x3 3

= 1

27

Denominator 813/4

x (243)3/5

1

(4 ) x (5 )

1

33 x 33 = 1

1

Solution =27

Option D

13. Log4 + Log. 7- Log t= 1Log10 4 +Log10 7- Log10 t= Log10 10

Since log10 10 = 1

Log10 4 x7 = log10 10

t

4 x 7 = 10

t 1

28 = 10t

t=28/10 = 14/5

Option D


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14. Multiples of 9 from 41 to 56 are (45,54)Probability = Possible outcome

Total outcome

= 2 = 1

16 8 Option A

15. Mean (x) = xn

n=10, x = 16

16 = x

10

x = 160

Let the number added be x

18 = 16 + x

11

160 + x = 198

x=198 -160

x = 38

Option B

16. Curved surface area of a cone = rI

12cm L

Using Pythagoras rule L2 = 122 + 52

L2

= 144 + 25

L2 = 169

L = 13

Curved surface area = x5x13

=65cm2

Option A

17. a= 2, d =3Sn= n/2 (2a + (n-1) d)

Sum of the 1st

eleven terms, n= 11

Sn = 11/12 (2(2)+ (11-1)3)

= 11/2 (4+30)

= 11/2 (34) = 11/17 = 187Option D

5cm


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18. 34x = 100112Converting to base 10

3 x x1

+ 4x x0

= 1 x 21+ 1 x 2

1+ 1 x 2

0

3x + 4 = 16 + 2 + 1

3x + 4 = 19

3x = 19 -4

3x = 15

x = 5

Option C

19. 27x = 813/43

3x= 3

4(3/4)

33x

= 33

3 x = 3x = 3/3 = 1

Option B

20. Class marks are 1+3 , 4 +5 , 7 +92 2 2

i.e. 2, 5 and

Standard deviation = (x 2)

Where x =

22) + (8 x 52) + (5 x 82)

= 20 +40+40 =90

x = 90/18 =5

S.D =2

S.D

S.D S.D 2.23

Option D


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21. A22. A23. D24. A25. B26. A27. B28. D29. B30. D31. B32. B33. A34. C35. D36. B37. B38. B39. C40. A41. A42. C43. C44. A45.

C46. B

47. C48. D49. B50. -

ANSWERS TO 2011/2012 FACULTY OF MANAGEMENT SCIENCE AND SOCIAL

SCIENCE

1. Church /t:t/Feature /f : t/

Chuffer / uf/

Ocean /ufn/


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Machine /mn/

The consonant sound (t) is common to both church and feature.

Correct option is A

2. Thank /oek/Thought / /

Thames / /

Thomas / /

The consonant sound () is common to Thank and Thought.

Correct option is B

3. Seize Grab, arrest, capture, apprehendCease to stop something from existing or happening

Sieze no such word

Sease no such word

Correct option is A

4. Complained in the sentence is a past tense verb, so it should be followed by had beenwhich is the past tense form of has been.

Correct option is B

5. Accompany to go somewhere with one.Follow to go behind or after someone etc

Escort to take someone somewhere, especially when you are protecting the person.

Join to go somewhere in order to be with someone.

Correct option is A

6.

For an arithmetic progression

Sum of the nth

term = n[2a + (n 1)d]

2

a = first term = 11, fourth term = 32

nth term = a + (n 1)d

4th

term = 11 + (4 1)d

32 = 11 + 3d


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6cm

6cm

32 11 = 3d

21 = 3d

Divide through by 3

d = 7

... common difference = 7

Sum up the 1st

nine terms =

= [22 + (8) 7]

= [22 + 56]

= [78] = 351

Correct option is A

7.

3cm1cm

The hexagon is made up of six triangles which are equilateral.

... Area of the hexagon = 6 area of the triangle


62

32

+ h2

62 32 = h2


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36 9 = h2

27 = h2

h2

= 27

h2

= 9 3

h =

h = 3 cm

Area of triangle =

=

=

= cm2

Area of the hexagon =

= cm2

Option C

8. C

9. Area of a Semi circle ==

=

=

= 693

Correct option is E

10.Convert 1011012 to base 101011012 =

=


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= 32+8+4+1

= 4510

Correct option is C

11.Let the total prefix bexAmount received by A =

Amount received by B =

=

Collect like terms

x = 4 3000

x = 12,000

Correct option is C

12.

x = 9, y = 24,z = 8


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The equation for the relation is

=

Correct option is D

13.Simplify

=

=

=

Correct option is

14.

x

y


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Tan =

Tan =

2.4 =

y = 2.4 50

y =120 cm


502

+ 72

= x2

502 + 1202 = x2

2500 + 14400 = x2

16900 = x2

x = 130 cm

x = 1.3 m

Correct option is E

15. Speed =

Let her usual speed bex km/h

x =

Distance = 2x km

Adjusted speed = (x + 1) km/h

Adjusted time = 2 hours 20 mins

= 120 mins 20mins

= 100 min

= 1.667 hours


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x = 5km 1 hr

... (x + 1) =

1.667x + 1.667 = 2x

1.667 = 2x 1.667x

1.667 = 0.333x

Correct Option is C

16. 2x + 5y =11.(1)

7x + 4y = 2..(2)

Multiply equation (1) by 7 and equation (2) by 2

14x + 35y = 77.(3)

14x + 8y = 4...(4)

2y = 73

Y=

Substitute fory in equation (1)

2x + 5 = 11

2x = 11 5 [ ]

2x =

2x =


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2x =

x=

The solution is [ , ]

Correct option is D

17.

r

h

For open cylinder with one and closed

Total surface area = 2rh + r2

For closed cylinder i.e. with two ends closed

Total surface area = 2rh + r2

Correct option is E

18. y2

=x2

2x 3

To get the least of y, differentiate and equate to zero

= 2x 2 = 0

2x = 2

x = = 1

Substitute 1 forx into the original equation

y = 12 2(1) 3


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y = 1 2 3

y = 4

The solution is (1, )

Correct option is D

19. Let the age of the father bex and that of the son bey

x = 3y..(1)

Twelve years ago

(x 12) = 6(y 12)

x 12 = 6y 72

x 6y = 72 + 12

x 6y = ..(2)

Substitute 3y for x into equation (2)

3y 6y =

=

y = 20

From equation (1)

x = 3y

x = 3(20)

x = 60

... The age of the father is 60 years while that of the son is 20 years

Correct option is E

20. =

Square both sides

( )2

= ( )2

3x2

= 81


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x =

x = 9 No correct options

21. B

22. D

23. C

24. A

25. B

26. B

27. D28. A

29. B

30. B

31. B

32. B

33. B

34. B

35. B

36. C

37. D

38. D

39. B

40. B

41. D

42. B

43. A

44. A

45. D

46. C 47. B 48. B 49. A 50. B


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