Faculty of Engineering and Tech

8/22/2019 Faculty of Engineering and Tech

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AMBROSE ALLI UNIVERSITY

2010/2011 POST-JAMB SCREENING EXERCISE

FOR ENGINEERING AND TECHNOLOGY

TIME ALLOWED: 60 MINUTES

For each of the question 1 5, choose the option nearest in meaning to the word(s) orphrase in italic.

1. The detective was perplexedwhen the clue to the murder case point to atleast a dozen different suspect (A) excited (B) discouraged (C) disappointed

(D) confused (E) surprised

2. The freelance journalist preferred working in united states to working inNigeria (A) self employed (B) popular (C) gorgeous (D) opulent (E) shunned

3. My financial institution is so precarious that very soon, I may be insolvent(A) soluble (B) bankrupt (C) borrowing (D) stealing (E) dependent

4. Kunle is pessimistic about our chance of success (A) concerned (B)despondent (C) worried (D) sad (E) unconvinced

5. Andrew is to garrulous for any liking (A) loquacious (B) taciturn (C) dull (D)stubborn (E) shy

6. In a class of 40 students, of them failed a mathematics test, whatpercentages of the students passed the test? (A) 15% (B) 34% (C) 75% (D)

50% (E) 60%

7. If 2x + y = 7 and 3x 2y = 3, by how much is 7x greater than 10? (A) 1 (B) 3(C) 7 (D) 10 (E) 17

8. A stick of length 1.7m was measured by a boy as 1.80m. find the percentageerror in his measurement (A) 2

7/9% (B) 2

2/9% (C) 6% (D) 27

7/9% (E) 28

4/7%

9. If x2 xy 6y 2 = 0, find the values of x and y (A) 3 0r -2 (B) 4 or -1 (C) 1 or 2(D) 3 or 2 (E) 4 or -4


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10.Given that y = 2x3 3x2 2x + 3, find d3y/dx3 (A) 6x2 6x 2 (B) 6x2 15x +4(C) 12 (D) 12x 6 (E) 6

11.Find the equation of a circle with center (-1,2) and radius 3. (A) x2 + y2 + 2x -4y +5 (B) x

2+ y

2x + y

5(C) x

2+ y

2+2x +4y -5 (D) x

2- y

2+4x +2y 5 (E) x

2+ y + x

4

12.Evaluate Lim (x + 1) / (x2 x 2) as x => -1 (A) 1/3 (B) -1/3 (C) 0 (D) (E) 2/313. Solve 32x = 27 (A) (B)8 (C) 3/2 (D) -2/3 (E) -1/414.Factorize 2x2 5x 3 (A) (2x 1) (x-3) (B) (x+1)(x-3) (C) (2x + 1)(x-3) (D)(2x-

1)(x+3) (E) (x+1)(x-2)

15.If mean of five consecutive numbers is 30, find the largest of thenumbers(A) 32 (B) 30 (C) 30 (D) 34 (E) 50

16.A final examination requires a student to answer four out of six questions.In how many ways can he do this? (A) 15 (B) 20 (C) 30 (D) 45 (E) 80

17.If x and y are the solutions to the equation, x2 + 5x + 6 =0, evaluate xy (A)12(B)-12 (C)16 (D)6 (E)4

18.Evaluate sinx2dx (A)sin3x/3 +c (B) 1/3(cos3x) + c (C) xcos3x/3 + c (D) 1+ cos2x + c(E)2/3(sin

3x/3) + c

19.In how many ways can the letters in word

CALCULUSbe arranged? (A) 720

(B) 340 (C) 4940 (E) 3000

20.Find the value tan600 tan300tan60

0+ tan 30

0

(A)4/3 (B) 2/3 (C) 1 (D) (E) 21.What is the beat between two notes of frequencies 256HZ and 252HZ (A)

508HZ (B) 4HZ (C) 42 (D) 254HZ (E) 84HZ


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22.Who among the following discovered X-ray (A) Henri Becquerel (B) IssacNewton (C) Archimedes (D) Wilhelm Roentgen (E) Hookes

23.A three pin (3-pin) electric plug has its internal connections marked as L, N,and E for live, Neutral and Earth respectively. Which of the following

options shows the formal English and New color code for mains supply

wiring to electrical apparatus? (A) formal (red, black, yellow) new (brown,

blue, green) (B) formal (Red, black, green) new (red,black,yellow) (C) formal

(red, black,green) new( red, light- blue, green) (D) formal ( black, green, red)

new (purple, yellow, blue) (E) none of the above

24.A cylinder is filled with a gas at 270c.If the volume of the gas is increased atconstant pressure to 1.25times the original value, calculate the final

temperature (A) 300k (B) 375k (C) 290K(D) 315k (E) 400k

25.If the dimension of pressure is given as MX LY TZ, the values for x, y and z are(A) (1, +2, 3) (B) (2, 1, 2) (C) (1, 1, 2) (D) (2, 1, 2) (E) (3, 4, 0)

26.A rotating disc containing two sets of holes in the form of a concentriccircle. A jet of air is directed on the inner set and a note of 256H, is

produced. If the number of holes in the set is 16, find the speed of

revolution of the disc. (A) 16m/s (B) 32m/s (C) 8m/s (D) 20m/s (E) 15m/s

27.The mode of transmission of heat which does not require a materialmedium is (A) conduction (B) radiation (C) convection (D) propagation (E)

none of the above

28.Which of these is not a fundamental S.I. unit (A) ampere (B) kelvin (C) m/s 2(D) seconds (E) kg

29.If two masses 40g and 60g respectively are attached firmly to the ends of alight meter rule, what is the center of gravity of the system? (A) at the


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midpoint of the rule (B) 40cm from the lighter mass (C) 40cm from the

heavier mass (D) 60cm from the heavier mass (E) none of the above

30.The relationship between the center of gravity of an object and its stabilityis that (A) the body is unstable when the center of gravity is zero (B) the

body is stable when the center of gravity is low (C) the body is stable when

the central of gravity is high (D) the body is unstable when the central of

gravity is low (E) none of the above

31.Which of these rays is used for taking photograph in the desert/haze (A)infrared (B) x-rays (C) y-rays (D) micro-waves (E) blue-rays

32.A diverging lens of power 0.05 diopters formed an image of an objectplaced 30cm from the lens. what is the image distance from the lens? (A)

15cm (B) 45cm (C) 25cm (D) 60cm (E) 45cm

33.A battery of emf 40v and internal resistance 5 is connected to a resistanceof 15. The voltage drop across the cell is (A) 10v (B) 30v (C) 15v (D) 25v

(E)4.5v

34. Three 2v cells of internal resistance 6 each are connected in parallel. Ifthe end points of their connections are linked to an external resistor of 8,

find the current in the circuit (A) 0.2A (B) 1A (C) 0.6A (D) 0.5A (E) 2A

35.Find a and b in the equation below222Ra bRa +2a +286 a

(A)85,200 (B) 200, 84 (C) 84,214 (D) 1,4 (E) 2,436.What is the maximum volume of co2 at STP that can be obtained when

dilute HCI is added to 10g of CaCO3 [Ca = 40, c = 12, O= 16 ]

(A)224dm3 (B) 22.4dm3 (C) 0.224dm3 (D) 224dm3 (E) 11.2 dm3


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37.Metal salt of long chain fatty acids are known as (A) detergents (B) doublesalts (C) soap (D) grease (E) ester

38.The amount of methane molecules (CH4) in 8g of methane is (A) 8mol (B)128mol (C) 0.5mol (D) 25mol (E) 3.01 x 10

23mol

39. Cx Hy + 9026CO2 + xH2O. the hydrocarbon Cx Hy in the reaction above ismost likely (A) an alkane (B) a benzene (C) an alkene (D) an alkyne (E) a

propane

40.All the following will liberate a gas when reacted with dilute hydrochloricacid except (A) sodium trioxosulphate(vi)salt (B) sodium

tetraoxosulphate(vi)salt (C) sodium sulphide (D) sodium trioxonitrate (v) (E)

none of the above41.A mixture of nitrogen, oxygen and helium contains 0.25, 0.15 and 0.4 moles

of these gases respectively. if the pressure contribution due to oxygen was

2.5atm, what is the partial pressure contributed from helium? (A) 4.0atm

(B) 0.8atm (C) 3.33atm (D) 6.67atm (E) 16.4atm

42.The PH of a solution containing 0.5 x 10-6m H2SO4 is(A) 6.3 (B)6.5 (C)6.0 (D)4.5 (E)5.0

43.Cellulose and starch can be classified as one of the following(A)carbohydrate (B)Hydrocarbon (C)sugar(D) proteins (E)alkaloids

44.During electrolysis, two cells each containing molten Al2O3 and CaCl2 wereconnected in series. A current of 15amps was passed through the cells for a

period of time. At the end of the electrolysis 9g of calcium was found to

have been deposited at the cathode. What mass of Aluminum would be

deposited in the second cell? [Al=27, Ca=40] (A)8.82g (B)4.05g (C)17.60g (D)

8.4g

45.The concentration of a solution obtained by dissolving 0.53g of pureanhydrous Na2CO3 in water to make 250cm

3of solution is (A) 2.0 x 10

-

5moldm

3(B) 2.1g/dm

3(C)2.0 x 10

-2moldm

3(D) 5.0 x 10

-5moldm

3

(E)7.4moldm3

46.70cm3of hydrogen are sparked with 25cm3 of oxygen at S.T.P. the volume ofresidual gas is (A) 20cm

3(B) 35cm

3(C) 45cm

3(D) 25cm

3(E) 30cm

3

226


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47.An element 88 undergoes radioactive decay by emitting two alphaparticles and a beta radiation. Which of the following nuclei correctly

describe the product formed by the reaction? (A)222

Th87 (B)218

S85 (C)218

Ra89

(D)222

Q84 (E)204

P85

48.The electric configuration of the species underline as in the molecule H2S is(A) 1S

22S

22P

63S

23P

4(B) 1S

22S

23S

23P

63d

104S

24P

4(C) 1S

22S

22p

63S

23P

2

(D) 1S2

2S2

2p6

3S23P

6(E) none of the above

49.The functional group(s) of an amino acid is/are (A) NH2,-COOH (B) CnH2n+1,-COOH (C) COCI,COOH (D) COOH, CONH2 (E) OH

50.An element which exist in more than one crystalline form is said to exhibit(A) polymorphism (B) isotopy (C) allotropy (D) isomerism (E) geotropism


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Faculty of Engineering and Tech