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Mathematics
UTME / JAMB 1998
Trigonometry, Elevation & Bearings
Diagram
Solution
In the diagram, QTR is a straight line and < PQT = 30^\circ. Find the sin of < PTR
Attached Figure / Diagram
A
\(\frac{8}{15}\)
B
\(\frac{2}{3}\)
C
\(\frac{3}{4}\)
D
\(\frac{15}{16}\)
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
\(\frac{10}{\sin 30^o} = \frac{15}{\sin x} = \frac{10}{0.5} = \frac{15}{\sin x}\)
\(\frac{15}{20} = \sin x\)
sin x = \(\frac{15}{20} = \frac{3}{4}\)
N.B x = < PTR
Source: Myschool Past Questions Archive (Record #33080)
Mathematics
UTME / JAMB 1998
Indices, Logarithms & Surds
Solution
A chord of a circle radius \(\sqrt{3cm}\) subtends an angle of 60^\circ on the circumference of he circle. Find the length of the chord
A
\(\frac{\sqrt{3}}{2}\)
B
\(\frac{3}{2}\)
C
3
D
\(\sqrt{3}\)cm
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
Length of chord = \(2r \times \sin(\frac{\theta}{2})\)
= \( 2 \times \sqrt{3} \times \sin(\frac{60}{2})\)
= \(2 \times \sqrt{3} \times \frac{1}{2}\)
= \(\sqrt{3}\) cm.
Source: Myschool Past Questions Archive (Record #33081)
Mathematics
UTME / JAMB 1998
Statistics (Data Representation, Central Tendency & Dispersion)
Diagram
Solution
The pie chart shows the monthly expenditure pf a public servant. The monthly expenditure on housing is twice that of school fees. How much does the worker spend on housing if his monthly income is N7200?
Attached Figure / Diagram
A
N1000
B
N2000
C
N3000
D
N4000
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
Let the monthly expenditure on school fees be x let the monthly expenditure on housing be 2x; angle of housing and school fee in a pie chart = 360o - (120o + 90o)
= 360o - 210o = 150o
Angle of housing in a pie-chart = \(\frac{2}{3}\) x 150 = 100
\(\frac{100}{360}\) x 7200 = N2,000
Source: Myschool Past Questions Archive (Record #33082)
Mathematics
UTME / JAMB 1998
Fractions, Decimals, Percentages & Approximations
Diagram
Solution
The bar chart shows the distribution of marks scored by 60 pupils in a test in which the maximum score was 10. If the pass mark was 5, what percentage of the pupils failed the test?
Attached Figure / Diagram
A
59.4%
B
50.0%
C
41.7%
D
25.0%
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
\(\begin{array}{c|c} x & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ \hline f & 1 & 9 & 4 & 7 & 10 & 8 & 7 & 9 & 8 & 2 & 1\end{array}\)
no pupils who failed the test = 1 + 3 + 4 + 7 + 10
= 25
5 of pupils who fail = \(\frac{25}{60}\) x 100%
= 41.70%
Source: Myschool Past Questions Archive (Record #33083)
English Language
UTME / JAMB 1998
Concord (Subject-Verb Agreement)
Solution
Select the option that best explains the information conveyed in the sentence.
If I left the country, I would arrange for my family to join me?
A
He left the country and his family joined him
B
In the event of his leaving the country, his family would join him
C
He did not leave the country and his family did not join him
D
He may not leave the country
medium Difficulty
Verified Correct Answer: Option B
Grammar & Contextual Explanation
the phrase ''if'' makes the statement conditional.
Source: Myschool Past Questions Archive (Record #10900)
English Language
UTME / JAMB 1998
Concord (Subject-Verb Agreement)
Select the option that best explains the information conveyed in the sentence.
A state of mutual hatred existed for years between the two villages of Umunna and Ogboma?
A
Umunna hated Ogboma
B
Ogboma hated Umunna
C
Ogboma and Umunna hated themselves
D
Umunna and Ogboma hated each other
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 #10903)
English Language
UTME / JAMB 1998
Concord (Subject-Verb Agreement)
Select the option that best explains the information conveyed in the sentence.
The painting in the museum was beautifully faked?
A
The painting was a good deceptive replica
B
The painting was well-framed and displayed
C
The painting was deceptively decorated in the museum
D
The painting was carefully hung in the museum
medium Difficulty
Verified Correct Answer: Option A
Grammar & Contextual Explanation
No expanded working has been attached for this question yet. The verified answer is Option A.
Source: Myschool Past Questions Archive (Record #10906)
English Language
UTME / JAMB 1998
Concord (Subject-Verb Agreement)
Select the option that best explains the information conveyed in the sentence.
Ade: Do you mind if i sit down here?
Bola: Well, yes I do actually.
A
Bola is reluctantly granting the request
B
Bola is willingly accepting the request
C
Bola is certainly rejecting the request
D
Bola is objecting to the request
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 #10908)
English Language
UTME / JAMB 1998
Concord (Subject-Verb Agreement)
Select the option that best explains the information conveyed in the sentence.
The president held forth for several minutes on the need for patriotism?
A
The president was silent for some minutes when patriotism was being discussd
B
The president whispered a few things about patriotism
C
The president spent time saying a few things about patriots
D
The president gave a rather long speech on the importance of patriotism
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 #10911)
English Language
UTME / JAMB 1998
Concord (Subject-Verb Agreement)
Select the option that best explains the information conveyed in the sentence.
The slide in the price of gold in the world market has left the industry reeling?
A
The gradual fall in gold price is making the industry unstable
B
The stablity in gold price is making the industry stagnant
C
The decline in gold price is making the industry redundant
D
The increase in gold price is making the industry to boom
medium Difficulty
Verified Correct Answer: Option A
Grammar & Contextual Explanation
No expanded working has been attached for this question yet. The verified answer is Option A.
Source: Myschool Past Questions Archive (Record #10914)
English Language
UTME / JAMB 1998
Concord (Subject-Verb Agreement)
Select the option that best explains the information conveyed in the sentence.
Fabricated statements published as truths amount to an abuse of press freedom?
A
To make known what is not true is aggressive to press
B
Publishing formulated untruths is misused press freedom
C
Unplanned publicized untruths are a misuse of the freedom of the press
D
Press freedom is based on ,published untruths
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 #10916)
English Language
UTME / JAMB 1998
Concord (Subject-Verb Agreement)
Select the option that best explains the information conveyed in the sentence.
The expected guests arrived at the eleventh hour?
A
The guest arrived at the last minute
B
The guests arrived 11 o'çlock
C
The guest arrived at the expected time
D
The guests arrived at the eleven hours behind schedule
medium Difficulty
Verified Correct Answer: Option A
Grammar & Contextual Explanation
No expanded working has been attached for this question yet. The verified answer is Option A.
Source: Myschool Past Questions Archive (Record #10919)
English Language
UTME / JAMB 1998
Concord (Subject-Verb Agreement)
Solution
Select the option that best explains the information conveyed in the sentence.
After addressing the court for two hours, the defence counsel rested her case?
A
The defence counsel's was tried after speaking for two hours, so she took a break
B
The judge adjourned the defence counsel's case after listening for two hours
C
The defence counsel concluded her defence after speaking for two hours
D
The judge advised the defence counsel to rest after two hours of address
medium Difficulty
Verified Correct Answer: Option C
Grammar & Contextual Explanation
The expression “rested her case” is a legal term. It means that after speaking for two hours, she concluded her defence.
It does not mean she was tired or took a physical rest.
Source: Myschool Past Questions Archive (Record #10923)
English Language
UTME / JAMB 1998
Concord (Subject-Verb Agreement)
Solution
Select the option that best explains the information conveyed in the sentence.
Benjamin exclaimed, 'If it is Napoleon who said it, it must be right'
A
Benjamin never believes what Napoleon says
B
Benjamin does not know what is right unless Napoleon says it
C
Napoleon always says what Benjamin believes to be right
D
Benjamin thinks that Napoleon always says the right thing
medium Difficulty
Verified Correct Answer: Option D
Grammar & Contextual Explanation
The sentence:
“If it is Napoleon who said it, it must be right.”
shows blind acceptance of whatever Napoleon says.
Benjamin is suggesting that the mere fact that Napoleon said something automatically makes it correct This shows belief in Napoleon’s authority, not doubt.
Source: Myschool Past Questions Archive (Record #10924)
English Language
UTME / JAMB 1998
Antonyms (Opposite in Meaning)
Choose the most appropriate option opposite in meaning to the underlined word(s).
The chairman's verdict redressed the injustice mete out by the secretary?
A
corrected
B
restored
C
aggravated
D
addressed
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 #10925)