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Biology
UTME / JAMB 1985
Excretion & Homeostasis
Diagram
Solution
Bowman's capsule are located in the part labelled
Attached Figure / Diagram
A
1
B
2
C
3
D
4
E
5
medium Difficulty
Verified Correct Answer: Option B
Biological Concept & Syllabus Guide
The Bowman’s capsule is found in the cortex region of the kidney. i.e. the part labeled 2.
Source: Myschool Past Questions Archive (Record #15542)
Biology
UTME / JAMB 1985
Variety of Organisms & Classification of Living Things
Diagram
Reabsorption of useful materials takes place in the part labelled
Attached Figure / Diagram
A
1 and 3
B
3 and 5
C
5 and 6
D
6 and 7
E
2 and 4
medium Difficulty
Verified Correct Answer: Option E
Biological Concept & Syllabus Guide
No expanded working has been attached for this question yet. The verified answer is Option E.
Source: Myschool Past Questions Archive (Record #15543)
Biology
UTME / JAMB 1985
Variety of Organisms & Classification of Living Things
Reabsorption of useful materials takes place in the part labelled
A
1 and 3
B
3 and 5
C
5 and 6
D
6 and 7
E
2 and 4
medium Difficulty
Verified Correct Answer: Option E
Biological Concept & Syllabus Guide
No expanded working has been attached for this question yet. The verified answer is Option E.
Source: Official Exam / Past Question Archive
Mathematics
UTME / JAMB 1984
Linear, Simultaneous & Quadratic Equations
Solution
The quadratic equation whose roots are 1 - \(\sqrt{13}\) and 1 + \(\sqrt{13}\) is?
A
x2 + (1 - \(\sqrt{13}\)x + 1 + \(\sqrt{13}\) = 0
B
x2 - 2x - 12 = 0
C
x2 - 2x + 12 = 0
D
x2 + 12 + 2x2 = 0
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
1 - \(\sqrt{13}\) and 1 + \(\sqrt{13}\)
sum of roots - \(1 + \sqrt{13} + 1 - \sqrt{13} = 2\)
Product of roots = (1 - \(\sqrt{13}\)) (1 + \(\sqrt{13}\)) = -12
x2 - (sum of roots) x + (product of roots) = 0
x2 - 2x - 12 = 0
Source: WAEC / JAMB / NECO Classroom Archive (Record #32425)
Mathematics
UTME / JAMB 1984
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
Using \(\bigtriangleup\)XYZ in the figure, find XYZ
Attached Figure / Diagram
A
29o
B
31o
C
31o 20'
D
31o 18'
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
\(\frac{\sin y}{3} = \frac{\sin 120^o}{5}\)
sin 120o = sin 60o
5 sin y = 3 sin 60o
sin y = \(\frac{3 \sin 60^o}{5}\)
\(\frac{3 \times 0.866}{5}\)
= \(\frac{2.598}{5}\)
y = sin-1 0.5196 = 30o 18'
Source: WAEC / JAMB / NECO Classroom Archive (Record #32777)
Physics
UTME / JAMB 1984
Work, Energy, Power & Simple Machines
Solution
A device that converts sound energy into electrical energy is?
A
the horn of a motor car
B
an A.C. generator
C
a microphone
D
the telephone
E
radio waves
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
The dynamic microphone is constructed with a small magnet that oscillates inside a coil attached to the diaphragm.
When a sound wave causes the diaphragm of the microphone to vibrate, the relative motion of the magnet and coil creates an electrical signal by magnetic induction.
Source: WAEC / JAMB / NECO Classroom Archive (Record #28735)
Physics
UTME / JAMB 1984
Work, Energy, Power & Simple Machines
Solution
A galvanometer of resistance 5.0Ω has full-scale deflection for a current of 100mA. How would its range be extended to 1.0A? By placing a resistance of
A
\(\frac{5}{9}\)\(\Omega\) in parallel
B
\(\frac{9}{5}\)\(\Omega\) in series
C
45\(\Omega\) in parallel
D
45\(\Omega\) in series
E
\(\frac{9}{5}\)\(\Omega\) in parallel
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Given Data:
I\(_g\) = 100ma = 0.1A
R\(_g\)=5
where I\(_s\) = I - I\(_g\) → 1 - 0.1
I\(_s\) = 0.9
I\(_g\)R\(_g\) = I\(_s\)R\(_s\)
0.1 * 5 = 0.9 * R\(_s\)
R\(_s\) = \(\frac{0.1 * 5}{0.9}\)
R\(_s\) = \(\frac{5}{9}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #28741)
Chemistry
UTME / JAMB 1984
Organic Chemistry II: Functional Groups, Polymers & Biomolecules
Diagram
Solution
USE THE DIAGRAM ABOVE TO ANSWER THIS QUESTION.
Which of the following represents a carboxylic acid?
Attached Figure / Diagram
A
A
B
B
C
C
D
D
E
E
medium Difficulty
Verified Correct Answer: Option A
Chemical Principles & Mechanism
A carboxylic acid is an organic acid that contains a carboxyl group attached to an R-group.
The general formula of a carboxylic acid is R−COOH or R−CO₂H, with R referring to the alkyl, alkenyl, aryl, or other group.
Source: WAEC / JAMB / NECO Classroom Archive (Record #31330)
Mathematics
UTME / JAMB 1984
Plane Geometry, Polygons & Circle Theorems
Solution
Simplify \(\frac{(\frac{2}{3} - \frac{1}{5}) - \frac{1}{3} \text{of} \frac{2}{5}}{3 - \frac{1}{1 \frac{1}{2}}}\)
A
\(\frac{1}{7}\)
B
7
C
\(\frac{1}{3}\)
D
3
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
\(\frac{2}{3} - \frac{1}{5}\) = \(\frac{10 - 3}{15}\)
= \(\frac{7}{15}\)
\(\frac{1}{3}\) Of \(\frac{2}{5}\) = \(\frac{1}{3}\) x \(\frac{2}{5}\)
= \(\frac{2}{15}\)
(\(\frac{2}{3} - \frac{1}{5}\)) - \(\frac{1}{3}\) of \(\frac{2}{5}\)
= \(\frac{7}{15} - \frac{2}{15}\) = \(\frac{1}{3}\)
3 - \(\frac{1}{1 \frac{1}{2}}\) = 3 - \(\frac{2}{3}\)
= \(\frac{7}{3}\)
\(\frac{\frac{2}{3} - \frac{1}{5} \text{of} \frac{2}{15}}{3 - \frac{1}{1 \frac{1}{2}}}\)
= \(\frac{\frac{1}{3}}{\frac{7}{3}}\)
= \(\frac{1}{3}\) x \(\frac{3}{7}\)
= \(\frac{1}{7}\)
Source: Myschool Past Questions Archive (Record #32308)
Mathematics
UTME / JAMB 1984
Inequalities & Linear Programming
Solution
\(\frac{0.0001432}{1940000}\) = k x 10n where 1 \(\leq\) k < 10 and n is a whole number. The values K and n are
A
7.381 qnd -11
B
2.34 and 10
C
3.871 and 2
D
7.831 and -11
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
\(\frac{0.0001432}{1940000}\) = k x 10n
where 1 \(\leq\) k \(\leq\) 10 and n is a whole number. Using four figure tables, the eqn. gives 7.38 x 10-11
k = 7.381, n = -11
Source: Myschool Past Questions Archive (Record #32321)
Mathematics
UTME / JAMB 1984
Fractions, Decimals, Percentages & Approximations
Solution
P sold his bicycle to Q at a profit of 10%. Q sold it to R for N209 at a loss of 5%. How much did the bicycle cost P?
A
N200
B
N196
C
N180
D
N205
E
N150
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
Let the selling price(SP from P to Q be represented by x
i.e. SP = x
When SP = x at 10% profit
CP = \(\frac{100}{100}\) + 10 of x = \(\frac{100}{110}\) of x
when Q sells to R, SP = N209 at loss of 5%
Q's cost price = Q's selling price
CP = \(\frac{100}{95}\) x 209
= 220.00
x = 220
= \(\frac{2200}{11}\)
= 200
= N200.00
Source: Myschool Past Questions Archive (Record #32327)
Mathematics
UTME / JAMB 1984
Indices, Logarithms & Surds
Solution
If the price of oranges was raised by \(\frac{1}{2}\)k per orange. The number of oranges a customer can buy for N2.40 will be less by 16. What is the present price of an orange?
A
2\(\frac{1}{2}\)
B
\(\frac{2}{15}\)
C
5\(\frac{1}{3}\)
D
20
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
Let x represent the price of an orange and
y represent the number of oranges that can be bought
xy = 240k, y = \(\frac{240}{x}\).....(i)
If the price of an oranges is raised by \(\frac{1}{2}\)k per orange, number that can be bought for N240 is reduced by 16
Hence, y - 16 = \(\frac{240}{x + \frac{1}{2}\)
= \(\frac{480}{2x + 1}\)
= \(\frac{480}{2x + 1}\).....(ii)
subt. for y in eqn (ii) \(\frac{240}{x}\) - 16
= \(\frac{480}{2x + 1}\)
= \(\frac{240 - 16x}{x}\)
= \(\frac{480}{2x + 1}\)
= (240 - 16x)(2x + 1)
= 480x
= 480x + 240 - 32x2 - 16
480x = 224 - 32x2
x2 = 7
x = \(\sqrt{7}\)
= 2.5
= 2\(\frac{1}{2}\)k
Source: Myschool Past Questions Archive (Record #32331)
Mathematics
UTME / JAMB 1984
Fractions, Decimals, Percentages & Approximations
Solution
A man invested a total of N50000 in two companies. If these companies pay dividends of 6% and 8% respectively, how much did he invest at 8% if the total yield is N3700?
A
N15 000
B
N29 600
C
N27 800
D
N21 400
E
N35 000
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
Total yield = N3,700
Total amount invested = N 50,000
Let x be the amount invested at 6% interest and let y be the amount invested at 8% interest
then yield on x = \(\frac{6}{100}\) x and yield on y = \(\frac{8}{100}\)y
Hence, \(\frac{6}{100}\)x + \(\frac{8}{100}\)y
= 3,700.........(i)
x + y = 50,000........(ii)
6x + 8y = 370,000 x 1
x + y = 50,000 x 6
6x + 8y = 370,000.........(iii)
6x + 6y = 300,000........(iv)
eqn (iii) - eqn(2)
2y = 70,000
y = \(\frac{70,000}{2}\)
= 35,000
Money invested at 8% is N35,000
Source: Myschool Past Questions Archive (Record #32332)
Mathematics
UTME / JAMB 1984
Statistics (Data Representation, Central Tendency & Dispersion)
Solution
Thirty boys and x girls sat for a test. The mean of the boys' scores and that of the girls were respectively 6 and 8. Find x if the total scores was 468
A
38
B
24
C
36
D
22
E
41
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Number of boy's = 30
Number of girls = x
Mean of boys' score = 6, for girls = 8
Total score for boys = 30 x 6
Total score for both boys and girls = 468
180 + 8x = 468
x = \(\frac{288}{8}\)
= 36
Source: Myschool Past Questions Archive (Record #32336)
Mathematics
UTME / JAMB 1984
Statistics (Data Representation, Central Tendency & Dispersion)
Solution
The cost of production of an article is made up as follows: Labour N70, Power N15, Materials N30, Miscellaneous N5. Find the angle of the sector representing Labour in a pie chart
A
210o
B
105o
C
105o
D
175o
E
90o
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
Total cost of production = N120.00
Labour Cost = \(\frac{70}{120}\) x \(\frac{360^o}{1}\)
= 210o
Source: Myschool Past Questions Archive (Record #32338)