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Unilag 2015/2016 Admission - Education (54) - Nairaland

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University Of Lagos UNILAG 2015/2016 Masters Degree Forms 08060777331 / Unilag 2015/2016 Pg/master Degree.prospective Applicants / Unilag 2015/2016 Jambites (2) (3) (4)

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Re: Unilag 2015/2016 Admission by Hemmanity: 12:09am On Apr 18, 2015
Umartins1:
Before I continue, let someone else post likely questions on Maths too.
I bow boss
Re: Unilag 2015/2016 Admission by Umartins1(m): 12:11am On Apr 18, 2015
Hemmanity:
I bow boss

Kaiii,,,, nna, see whyne things!!! Na who be boss?


Btw, have you any Maths question with you?
Re: Unilag 2015/2016 Admission by Umartins1(m): 1:38am On Apr 18, 2015
14. if the sum of the first two terms of a G.P is 3
and the sum of the second and the third terms is
-6, find the sum of the first term and the
common ratio.
a. -5. B. 5. C. -2. D. -3
______________________________________
a + ar = 3 ------------ (1)
ar + ar2 = -6....... (2)

a (1+r) = 3....... (3)
ar (1+r) = -6.......(4)

Eqn (4) / (3)
r= -2
Sub. For r in a+ar=3
a + a(-2) = 3
a-2a=3
-a=3
a=-3

a + r =
-2 + (-3)
-2-3
-5 ........... Option A


________________________________________

15. The binary operation ¤ is defined by x¤y=x
+2y, find 2¤(3¤4).
A. 14. B. 26. C. 24. D. 16
________________________________________

x¤y = x+2y
3¤4 = 3 + 2(4)
3+8
=11

2¤11

2 + 2(11)
2+22
=24................... Option C

_______________________________________

16. A chord of a circle subtends an angle 120
degrees at the centre of circle of diameter
4root3cm. Calculate the area of the major
sector.
A. 32pi. B. 4pi. C. 8pi. D. 16pi
_________________________________________
the angle of the major sector = 360-120= 240
Note: what was given is diameter. It has to be divided by 2 to get the radius.
Area= titre/360 * pi r2
= 240 / 360 * pi * 2root 32
2/3 * pi * 12
24pi/3
=8pi...... Option C

__________________________________________

17. If the mid point of the line PQ is (2,3) and
the point P is (-2, 1), find the coordinate of the
point Q.
A. (8,6) b. (5,6). C. (0,4). D. (6,5)
____________________________________________
midpoint= x1 + x2/2 , y1 + y 2/ 2
-2+x/2 = 2, 1+y/2 = 3
-2+x=4, 1+y=6
X=4+2, y=6-1
X=6, y=5
The coordinate of Q is (6, 5)... Option D

_______________________________________

18. Integrate (1+x)/x^3. dx.
A. 2x^2-1/x. B. -1/2x^2 - 1/x. C. -x^2/2-1/x. D.
X^2-1/x
______________________________________
1/x3 + x/x3
= x-3 + x1-3
= x-3 + x-2
= x-3+1 / -2 + x-2+1 / -1
= -x-2 / 2 - x-1
= -1/x2/2 - 1/x
=-1/x2 * 1/2 - 1/x
= -1/2x2 - 1/x + K.... Option B

____________________________________________

19. Evaluate the integral of sinx with pi/2 as the
upper value and 0 as the lower value.
a. -2. B. 2. C. 1. D. -1
___________________________________________

the integration of sinx gives -cosx
Pi is 180
Therefore pi/2= 90
-cos90 - (-cos0)
0- (-1). Note: cos 90=0, cos 0=1
= 1...... Option C


____________________________________
20. The radius of a circle is increasing at the rate
of 0.02 cm/s. Find the rate at which the area is
increasing when the radius of the circle is 7cm.
A. 0.35 cm^2/s. B. 0.88. C. 0.75. D. 0.55
________________________________________

A= pi r2
dA/dr= 2pi r

dt/dr= 0.02

dA/dt = dA/dr * dr/dt
= 2 pi r * 0.02
= 2 * 22/7 * 7 * 0.02
= 44 * 0.02
= 44 * 2/100. (Because, calculator is disallowed)
= 88/100
= 0.88cm2s-1.... Option B
Re: Unilag 2015/2016 Admission by Umartins1(m): 2:22am On Apr 18, 2015
21. If Log 18 + Log 3 - Log x = 3, find x [ everything
is in base 3]
A. 1. B. 2. C. 0. D. 3
________________________________________
log318 + log33 - log3x =3

Log3 (18*3)/x = 3
Log354/x = 3
33 = 54/x
27= 54/x
27x=54
X= 54/27
X= 2................ Option B

___________________________________________

22. Factorise completely 9y^2 - 16x^2.
A. (3y-2x) (3y+48). B. (3y+4x) (3y+4x). C. (3y+2x)
(3y-4x). D. (3y+4x) (3y-4x)
_______________________________________

very simple. Use diff of two squares. You will get option D

________________________________

23. Evaluate
4 2 -1
2 3 -1
-1 1 3
A. 25. B. 45. C. 15. D. 55
_________________________________

4(9+1) -2(6-1)-1(2+3)
4(10)-2(5)-1(5)
40-10-5
25........ Option A


__________________________________

24. Find the derivative of sinX/cosX
A. Sec^2x. B. Tanxcosecx. C. Cosecxsecx. D.
Cosec^2x
______________________________________
Since tanX= sinx/cosx, the answer is simply option A. This can be proved though.
_____________________________________________

25. Integrate cos4x
A. 3/4 sin4x+k. B. -1/4sin4x+k. C. -3/4sin4x+k. D.
1/4sin4x+k
___________________________________________
|cos 4x
Let u=4x
du/dx = 4
dx= 4du
du= dx/4
|cosu. dx/4
1/4|cosu
1/4sinu
1/4sin4x....... Option D

____________________________________
26. If three unbiased coins are tossed, find the
probability that they are all heads.
A. 1/8. B. 1/3. C. 1/6. 1/9
____________________________________
. H T
H. HH HT
T. HT TT

HH HT. HT. TT
H. HHH HHT. HHT HTT
T. HHT HTT HTT TTT

Possible outcome= 8
Required " = 1
1/8....... Option A

_______________________________________

27. In how many ways can a committee of 2
women and 3 men be chosen from 6 men and 5
women?
A. 50. B. 200. C. 100. D. 30
_________________________________
6C3 * 5C2

6! / 3!3! * 5! / 2!3!
6*5*4 / 3*2 * 5*4/2
20*10
200.......... Option B

___________________________________

28. Integrate (sinx+2)dx
A. Cosx+x^2. B. Cosx+2x. C. -cosx+2x. D. -cosx+x^2
_____________________________________

option C

______________________________________
29. At what value of x does the function y=-3-2x
+x^2 attain a minimum value?
A. 1. B. -4. C. -1. D. 4
_________________________________________
dy/dx; -2+2x=0
2x=2
X=1.......... Option A.

_________________________________________

30. Evaluate the integral of x^3 + x^2 with 2 as the
upper value and 0 as the lower value.
A. 2 5/6. C. 6 2/3. D. 4 5/6. D. 1 5/6
_________________________________________
x3 + x2
X3+1/3+1 + x2+1/2+1
X4/4 + x3/3
24/4 + 23/3 - 04/4 + 03/3
16/4 + 8/3 - 0
4+ 8/3

(12+cool/3
20/3
6 2/3...... Option B

2 Likes

Re: Unilag 2015/2016 Admission by Nobody: 6:48am On Apr 18, 2015
tundeks:
u, re very funny, is dt how u,ll be guessing in exam hall. the definition I can give post ume exam is dt u must know all the question.
I have to score 40/40 before I can be admitted? cry

Umartins1, thanks.

1 Like

Re: Unilag 2015/2016 Admission by Mrpulse911(m): 8:39am On Apr 18, 2015
labodinho:
Jamb COC closes today,17th.Get it in d next second if you really wanna make the change.
Oh no. I ddnt knw it was out alrdy i ddnt get d info. Yesterday I was in a bus on my way to Oyo State to get my Certificate of State of Origin when I posted last. I got to Oyo by 5pm or thereabout. I jst saw ur reply dis mawin. What do I do now Labodino, wat do u advice #perplexed
Re: Unilag 2015/2016 Admission by Mrpulse911(m): 8:54am On Apr 18, 2015
sumbody400:
Amina,do not touch those books it belongs to our _____ children.

(a) sisters's-in-laws (b) sisters-in-laws' (c) sisters's-in-law (d) sisters-in-law's
The answer is D
Re: Unilag 2015/2016 Admission by tundeks: 9:43am On Apr 18, 2015
Mrpulse911:

Oh no. I ddnt knw it was out alrdy i ddnt get d info. Yesterday I was in a bus on my way to Oyo State to get my Certificate of State of Origin when I posted last. I got to Oyo by 5pm or thereabout. I jst saw ur reply dis mawin. What do I do now Labodino, wat do u advice #perplexed
it's late already, Don, t know if jamb may still extend it.
Re: Unilag 2015/2016 Admission by Nobody: 10:02am On Apr 18, 2015
Mrpulse911:

The answer is D
correct
Re: Unilag 2015/2016 Admission by Nobody: 10:23am On Apr 18, 2015
Umartins1:


(4*1/2)2
= 2 2
= 4

4x-16x2 is the same thing as 16x2-4x ??

Let the number to be added to the expression be u2

16x2-4x+u2=0

Therefore
162+u2

(16+u)2

(16x+u) (16+u)

256x2+32xu+u2

We now have

16x2-4x+u2=256x2+32xu+u2

Equating the middle term

-4x=32xu
-4x/32x=u
u=-1/8

Since u=-1/8

Then

u2=(-1/cool2

u2=1/64[no option is correct]

I'll post shortcut very soon
Re: Unilag 2015/2016 Admission by Nobody: 10:25am On Apr 18, 2015
Umartins1:


(4*1/2)2
= 2 2
= 4

4x-16x2 is the same thing as 16x2-4x ??

Let the number to be added to the expression be u2

16x2-4x+u2=0

Therefore
162+u2

(16+u)2

(16x+u) (16+u)

256x2+32xu+u2

We now have

16x2-4x+u2=256x2+32xu+u2

Equating the middle term

-4x=32xu
-4x/32x=u
u=-1/8

Since u=-1/8

Then

u2=(-1/cool2

u2=1/64[no option is correct]

I'll post shortcut very soon
Re: Unilag 2015/2016 Admission by Nobody: 10:26am On Apr 18, 2015
Umartins1:


(4*1/2)2
= 2 2
= 4

4x-16x2 is the same thing as 16x2-4x ??

Let the number to be added to the expression be u2

16x2-4x+u2=0

Therefore
162+u2

(16+u)2

(16x+u) (16+u)

256x2+32xu+u2

We now have

16x2-4x+u2=256x2+32xu+u2

Equating the middle terms

-4x=32xu
-4x/32x=u
u=-1/8

Since u=-1/8

Then

u2=(-1/cool2

u2=1/64[no option is correct]

I'll post shortcut very soon
Re: Unilag 2015/2016 Admission by Umartins1(m): 11:45am On Apr 18, 2015
I don't understand the mathematical abracadabra you're performing.
Re: Unilag 2015/2016 Admission by Hemmanity: 11:45am On Apr 18, 2015
I Need to nail High @least 39/40 in pume b4 i can be admitted any help pals?
Re: Unilag 2015/2016 Admission by Nobody: 12:27pm On Apr 18, 2015
Umartins1:
I don't understand the mathematical abracadabra you're performing.
The question is from the nature of quadratic roots,i was asked this kind of question last year
Re: Unilag 2015/2016 Admission by Umartins1(m): 12:30pm On Apr 18, 2015
sumbody400:
The question is from the nature of quadratic roots,i was asked this kind of question last year
Bros, if dem ask you, na the way I don solve am u go solve am.

1 Like

Re: Unilag 2015/2016 Admission by tundeks: 12:48pm On Apr 18, 2015
Hemmanity:
I Need to nail High @least 39/40 in pume b4 i can be admitted any help pals?
it's very possible as well as not possible. just keep praying and read hard.
Re: Unilag 2015/2016 Admission by tundeks: 12:53pm On Apr 18, 2015
sumbody400:


4x-16x2 is the same thing as 16x2-4x ??

Let the number to be added to the expression be u2

16x2-4x+u2=0

Therefore
162+u2

(16+u)2

(16x+u) (16+u)

256x2+32xu+u2

We now have

16x2-4x+u2=256x2+32xu+u2

Equating the middle terms

-4x=32xu
-4x/32x=u
u=-1/8

Since u=-1/8

Then

u2=(-1/cool2

u2=1/64[no option is correct]

I'll post shortcut very soon
The answer to that question is 4, follow the method posted by Umartins1 or read those examples I posted earlier. ur abradacada seems confusing cos I wonder how u import
256x 2+32xu+u
Re: Unilag 2015/2016 Admission by tundeks: 12:55pm On Apr 18, 2015
Umartins1:
I don't understand the mathematical abracadabra you're performing.
he, s performing magic, let's keep our fingers crossed and be watching.
Re: Unilag 2015/2016 Admission by harbeemx(m): 1:01pm On Apr 18, 2015
Pls guy I don't know how to solve this:
What is the difference in the local time between two places in latitude 55 degrees North if they are located at longitude 8 degree west and 18 degree east respectively .Pls show the workings
Re: Unilag 2015/2016 Admission by Nobody: 1:08pm On Apr 18, 2015
tundeks:

The answer to that question is 4, follow the method posted by Umartins1 or read those examples I posted earlier. ur abradacada seems confusing cos I wonder how u import
256x 2+32xu+u
lols bro ... Nobi magic o .... It seems there are some subtle part of comprehension textbook you are yet to notice .... Open your comprehension textbook [page 63] ... Success is our !!!
Re: Unilag 2015/2016 Admission by labodinho: 3:56pm On Apr 18, 2015
Mrpulse911:

Oh no. I ddnt knw it was out alrdy i ddnt get d info. Yesterday I was in a bus on my way to Oyo State to get my Certificate of State of Origin when I posted last. I got to Oyo by 5pm or thereabout. I jst saw ur reply dis mawin. What do I do now Labodino, wat do u advice #perplexed
Oh!! So sorry about the mix up.I don't know if they'll still extend the date.Just be vigilant in case they sell the COC again.

Hello,seems the COC is still on,try get it on monday or find out if it's possible.
Re: Unilag 2015/2016 Admission by labodinho: 3:59pm On Apr 18, 2015
Umartins1:

Bros, if dem ask you, na the way I don solve am u go solve am.
I'm impressed with you effort here.Keep it rolling.
Re: Unilag 2015/2016 Admission by Umartins1(m): 4:29pm On Apr 18, 2015
harbeemx:
Pls guy I don't know how to solve this:
What is the difference in the local time between two places in latitude 55 degrees North if they are located at longitude 8 degree west and 18 degree east respectively .Pls show the workings
______________________________________________
since they are on different longitude, you have to add;
8o + 18o
= 26o
Remember; 1o = 4mins
4 * 26 = 104mins.
Re: Unilag 2015/2016 Admission by Umartins1(m): 4:32pm On Apr 18, 2015
labodinho:
I'm impressed with you effort here.Keep it rolling.
Boss, na your steps I dey follow o.
Re: Unilag 2015/2016 Admission by Umartins1(m): 4:41pm On Apr 18, 2015
@harbeemx

Roll more.
Re: Unilag 2015/2016 Admission by Nobody: 4:45pm On Apr 18, 2015
Labodinho, during hostel allocation, will all the freshers get a room(?) because i'm hearing that some didn't get last year...
Re: Unilag 2015/2016 Admission by labodinho: 5:40pm On Apr 18, 2015
FrancisTony:
Labodinho, during hostel allocation, will all the freshers get a room(?) because i'm hearing that some didn't get last year...
Allocation is based on fastest finger,server and smartness.
Re: Unilag 2015/2016 Admission by labodinho: 5:41pm On Apr 18, 2015
Umartins1:

Boss, na your steps I dey follow o.
hmm...so you're into dis business too,whyning?Good work jare our Economist.
Re: Unilag 2015/2016 Admission by Nobody: 5:55pm On Apr 18, 2015
labodinho:
Allocation is based on fastest finger,server and smartness.
Nice info.

How many people in a room, sef? sad
Re: Unilag 2015/2016 Admission by labodinho: 7:00pm On Apr 18, 2015
FrancisTony:

Nice info.

How many people in a room, sef? sad
It ranges between 4 and 8 depends on the Hall.

1 Like

Re: Unilag 2015/2016 Admission by Nobody: 7:29pm On Apr 18, 2015
labodinho:
It ranges between 4 and 8 depends on the Hall.
List them. tongue

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