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English Language
UTME / JAMB 2007
Idioms, Figurative Expressions & Sentence Interpretation
Solution
There's a door at either end of the building?
A
The building has two ends and two doors
B
The building has two ends, but only one door
C
The building has two ends, but I do not know which of the two has a door
D
The building has many ending each and for all
medium Difficulty
Verified Correct Answer: Option A
Grammar & Contextual Explanation
Either as used before the first of two given alternatives. When it is used as a determiner, it refers to both choices or possibilities
This means that there are two alternatives. At each end of the building, there is a door.
Either is used only when there are two persons or things. The statement can be interpreted as
''There are two ends in the building, and each of the ends has a door.
Source: Myschool Past Questions Archive (Record #12287)
English Language
UTME / JAMB 2007
Lexis, Structure & Register (Cloze & Vocabulary)
We have to iron out our difference at once?
A
We must clear up without delay our misunderstanding
B
We must ensure that our problems are eminated at all cost
C
We have to settle our disagreement once and for all
D
We have to solve some of our problems for now
medium Difficulty
Verified Correct Answer: Option C
Grammar & Contextual Explanation
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #12288)
English Language
UTME / JAMB 2007
Lexis, Structure & Register (Cloze & Vocabulary)
There should be a playing field for women entering politics?
A
Women should not be allow enter politics
B
Sports facilities should be provided should be given to women who wants to hear politics
C
Special privileges should be given to women who wants to enter politics
D
Men and women should be able to compete in the political arena on an equal basis
medium Difficulty
Verified Correct Answer: Option D
Grammar & Contextual Explanation
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Myschool Past Questions Archive (Record #12289)
English Language
UTME / JAMB 2007
Concord (Subject-Verb Agreement)
Select the option that best explains the information conveyed in the sentence.
Thanks to that phone call, I obtain the visa.
A
In spite of that phone call, I obtained the visa
B
It was because of that phone call that I obtained the visa
C
I am greatful to whoever phoned me, and I obtained the visa
D
If I had not receive that phone call, I would not obtained the visa
medium Difficulty
Verified Correct Answer: Option B
Grammar & Contextual Explanation
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: Myschool Past Questions Archive (Record #12307)
English Language
UTME / JAMB 2007
Idioms, Figurative Expressions & Sentence Interpretation
Solution
Select the option that best explains the information conveyed in the sentence.
Ado and Abu are always together these days. They must be up to something?
A
They must have reconciled after their quarrel
B
They are probably planning something bad
C
They are capable of a praiseworthy achievement
D
They bear some responsibility for what has happened
medium Difficulty
Verified Correct Answer: Option B
Grammar & Contextual Explanation
The key phrase in the sentence is: "They must be up to something." This is an idiomatic expression in English, which implies suspicion of secretive or mischievous behaviour.
Source: Myschool Past Questions Archive (Record #12316)
Physics
UTME / JAMB 2007
Circular Motion, Gravitation & Simple Harmonic Motion
Solution
A gramophone record takes 5s to reach its constant angular velocity of 4\(\pi\) rads-1 from rest. Find its constant angular acceleration.
A
0.4\(\pi\) rads-2
B
0.8\(\pi\) rads-2
C
1.3\(\pi\) rads-2
D
20.0\(\pi\) rads-2
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
From the radiation:
V = +at, and if it starts from N & T, U = 0
And for angular motion, W = O + at
4R = aχ5
∴ a = (4a)/5 = 0. 8\(\pi\) rads-2
Source: Myschool Past Questions Archive (Record #13903)
Physics
UTME / JAMB 2007
Circular Motion, Gravitation & Simple Harmonic Motion
Solution
A car of mass 1500 kg goes round a circular curve of radius 50m at a speed of 40 ms-1. The magnitude of the centripetal force on the car is ?
A
4.8 x 104 N
B
4.8 x 103 N
C
1.2 x 103 N
D
1.2 x 102 N
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Centipetal force of the car = ma = \(\frac{(MV^2)}{\text{r}}\)
= \(\frac{(1500 \times 40 \times 40}{50}\)
= 48000 = 4.8 x 10\(^4\) N
Source: Myschool Past Questions Archive (Record #13904)
Physics
UTME / JAMB 2007
Current Electricity & Electric Circuits
Solution
Two spheres of masses 5.0 kg and 10.0 kg are 0.3 m apart. Calculate the force of attraction between them?
[G = 6.67 X 10-11 Nm2 Kg\(^{-2}\)]
A
3.50 x 10-10N
B
3.71 x 10-8 N
C
3.57 x 10-2N
D
4.00 x 102N
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
The force of attraction between the two spheres is given by F (GM1 M2)/r2 = (6.67X 10-11 X5X10)/(0.3)2
= 3.71 X 10-8N.
Source: Myschool Past Questions Archive (Record #13909)
Physics
UTME / JAMB 2007
Work, Energy, Power & Simple Machines
Solution
A machine has a velocity ratio of 4. if it requires 800 N to overcome a load of 1600 N,what is the efficiency of the machine?
A
60%
B
50%
C
40%
D
2%
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Efficiency = (M.A)/V.R X (100)/1
But M.A = (Load)/Effort = (1600)/800 = 2
Efficiency = (2)/4 x (100)/1 = 50%
Source: Myschool Past Questions Archive (Record #13916)
Physics
UTME / JAMB 2007
Elasticity, Density, Pressure & Fluids
Solution
A reservoir 500 m deep is filled with a fluid of density 850 kgm-3. If the atmospheric pressure is 1.05 x 105 Nm-2, the pressure at the bottom of the reservoir is.
[g = 10ms-2]
A
4.72 x 106 Nm-2
B
4.36 x 106 Nm-2
C
4.28 x 106 Nm-2
D
4.25 x 106 Nm-2
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
In general, pressure varies with depth in the relation p = \(\rho\)gh
= 850 x 10 x 500
= 4250000
= 4.25 x 10\(^6\) Nm\(^{-2}\)
Therefore, Total pressure = 1.05 x 10\(^5\) + 4.25 x 10\(^6\) = 4.36 x 10\(^6\) Nm\(^{-2}\)
Source: Myschool Past Questions Archive (Record #13917)
Physics
UTME / JAMB 2007
Equilibrium of Forces, Moments & Flotation
Solution
The unit of moment of a couple can be expressed in?
A
N m-1
B
N m-2
C
N m
D
N m2
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
The unit of a couple is Newton-meter (N M)
Source: Myschool Past Questions Archive (Record #13902)
Physics
UTME / JAMB 2007
Current Electricity & Electric Circuits
Solution
A piece of iron weights 250 N in air and 200 N in a liquid of density 1000 kgm-3. the volume of the iron is?
A
5.0 x 10-3 m-3
B
4.5 x 10-3 m-3
C
2.5 x 10-3 m-3
D
2.0 x 10-3 m-3
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Wt in the air = 250N
wt. in the liquid = 200N
loss in wt. in the liquid = 250 - 200 = 50N
∴ mass of liquid displaced = 50N → 5kg
∴If the density of the liquid is 1000kgm-3
then the volume of the liquid = (M)/D = V = (5kg)/1000 = 0.005 → 5.0 X \(10^{-3}\)\(m^3\)
Source: Myschool Past Questions Archive (Record #13918)
Physics
UTME / JAMB 2007
Temperature, Thermometry & Thermal Expansion
Solution
A clinical thermometer is different from other mercury in glass thermometers owing to
A
the constriction on its stem
B
the grade of mercury used in it
C
its long stem
D
its wide range of temperatures
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
The constriction in the stem of a clinical thermometer prevents the mercury from returning to the bulb after the temperature has been taken, allowing for a more accurate reading. This feature is what distinguishes it from other types of mercury thermometers, which do not typically have this constriction
Source: Myschool Past Questions Archive (Record #13919)
Physics
UTME / JAMB 2007
Temperature, Thermometry & Thermal Expansion
Solution
I. Use a liquid with a high melting point.
II. use a liquid of high volume expansivity.
III. use a capillary tube of large diameter.
which of the above best describes how the sensitivity of a liquid-in-glass thermometer can be enhanced?
A
I only
B
II. only
C
I and II only
D
II and III only
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Using the liquid of high volume expansively II only
Source: Myschool Past Questions Archive (Record #13924)
Physics
UTME / JAMB 2007
Calorimetry, Latent Heat & Change of State
Solution
2 kg of water is heated with a heating coil which draws 3.5 A from a 200 V mains for 2 minutes. what is the increase in temperature of the water?
[specific heat capacity of water = 4200 jkg -1k-1]
A
30°
B
25°
C
15°
D
10°
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Electricity heat energy supplies by the heater = lvt = 3.5 x 200 x (2 x 60) = 84000j.
and this heat is supplied to the 2 kg of the water MC ∆ t = 84000
2 x 4200 x ∆ t = 84000
∴ ∆t = (84000)/8400 = 10°c
∴ increase in temp. of water = 10°c
Source: Myschool Past Questions Archive (Record #13928)