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Mathematics
WAEC / WASSCE 1995
Permutations, Combinations & Probability
Solution
A box contains 5 blue balls, 3 black balls and 2 red balls of the same size. A ball is selected at random from the box and then replaced. A second ball is then selected. Find the probability of obtaining
(a) two red balls ;
(b) two blue balls or two black balls ;
(c) one black and one red ball in any order.
medium Difficulty
Verified Correct Answer: Option
Step-by-Step Mathematical Solution
Number of blue balls = 5
Number of black balls = 3
Number of red balls = 2
= 10 balls.
(a) P(two red balls) = \(\frac{2}{10} \times \frac{2}{10} = \frac{1}{25}\)
(b) P(2 blue or 2 black balls) = P(2 blue) or P(2 black)
= \((\frac{5}{10} \times \frac{5}{10}) + (\frac{3}{10} \times \frac{3}{10})\)
= \(\frac{25}{100} + \frac{9}{100}\)
= \(\frac{34}{100} = \frac{17}{50}\)
(c) P( one red and one black in any order) = P(one red, one black) or P(one black, one red)
= \((\frac{2}{10} \times \frac{3}{10}) + (\frac{3}{10} \times \frac{2}{10})\)
= \(\frac{12}{100} = \frac{3}{25}\)
Source: Myschool Past Questions Archive (Record #54532)
English Language
UTME / JAMB 1995
Concord (Subject-Verb Agreement)
Select the option that best explains the information conveyed in the sentence.
Most of the time, their presence is a menace?
A
Their presence isw always meaningful
B
Their presence is seldom a bother
C
Their presence is ussually of great concern
D
Their presence is frequently a threat
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 #10584)
English Language
UTME / JAMB 1995
Concord (Subject-Verb Agreement)
Solution
Select the option that best explains the information conveyed in the sentence.
My son, who is in the U.S.A., is studying Engineering.
A
My only son in the U.S.A is studying Engineering
B
One of my sons is in the U.S.A studying Engineering
C
My sons are in the U.S.A but only one is studying Engineering
D
My only son is in the U.S.A studying Engineering
medium Difficulty
Verified Correct Answer: Option B
Grammar & Contextual Explanation
The phrase "My son, who is in the U.S.A, is studying Engineering" contains a non-restrictive (or non-defining) relative clause ("who is in the U.S.A"). This means:
The sentence assumes that the speaker has more than one son (otherwise, the phrase would use "My only son").
The comma before "who" indicates that the information about being in the U.S.A is additional, rather than essential.
Therefore, it suggests that one of the speaker's sons is in the U.S.A and studying Engineering.
Source: Myschool Past Questions Archive (Record #10587)
English Language
UTME / JAMB 1995
Concord (Subject-Verb Agreement)
Solution
Select the option that best explains the information conveyed in the sentence.
The mills of God grind slowly, but they grind exceedingly small
A
God has a mill where every material in life is thoroughly ground
B
God may seem slow in action, but he adequately rewards every bit of injustice
C
The world is like a food factory where God take his time in grinding all raw materials properly
D
Even though God is never in a hurry, He achieves al things
medium Difficulty
Verified Correct Answer: Option B
Grammar & Contextual Explanation
The proverbial expression of the mills of God grinding slowly refers to the notion of slow but certain divine retribution. Which means that no matter how long it takes, he who needs to be punished will be punished. God watches all, and the day of reckoning will come. the prover is attributed to
Source: Myschool Past Questions Archive (Record #10592)
English Language
UTME / JAMB 1995
Concord (Subject-Verb Agreement)
Select the option that best explains the information conveyed in the sentence.
I was one of those who actively believe in his development programmes?
A
I was part of those who renounced the programmes
B
I was the originator of the programmes
C
I was one of the people who embraced the programmes
D
I was one of the great number who developed his programmes actively
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 #10593)
English Language
UTME / JAMB 1995
Concord (Subject-Verb Agreement)
Solution
Select the option that best explains the information conveyed in the sentence.
People are not interested in who rules?
A
People who rules are not interested in the rule
B
The rulers are not indifferent about the people
C
People are indifferent about the rulers
D
People are ruled by the people they are interest in
medium Difficulty
Verified Correct Answer: Option C
Grammar & Contextual Explanation
e not
Source: Myschool Past Questions Archive (Record #10595)
English Language
UTME / JAMB 1995
Antonyms (Opposite in Meaning)
Choose the most appropriate option opposite in meaning to the underlined word.
Good student can easily identify spurious arguments?
A
genuine
B
interesting
C
false
D
illogical
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 #10598)
English Language
UTME / JAMB 1995
Antonyms (Opposite in Meaning)
Choose the most appropriate option opposite in meaning to the underlined word.
Eze's skin now looks flabby as a result of his changed circumstances?
A
neat
B
firm
C
weak
D
oily
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 #10599)
English Language
UTME / JAMB 1995
Antonyms (Opposite in Meaning)
Solution
Choose the most appropriate option opposite in meaning to the underlined word.
He and his lieutenants have been accused of remaining intransigent?
A
rigid
B
stubborn
C
compromising
D
popular
medium Difficulty
Verified Correct Answer: Option C
Grammar & Contextual Explanation
The word "intransigent" refers to someone who is unwilling to compromise, stubborn, or resistant to change. Therefore, the opposite meaning would be someone who is willing to compromise, open to negotiation, or flexible. In this context, "compromising" (Option C) is the most suitable opposite, as it conveys a willingness to find a middle ground and make concessions, which contrasts with the intransigent behaviour described in the sentence.
Source: Myschool Past Questions Archive (Record #10603)
English Language
UTME / JAMB 1995
Antonyms (Opposite in Meaning)
Choose the most appropriate option opposite in meaning of the underlined word.
In the opinion of most observers, it was a disinterested decision?
A
neutral
B
impartial
C
biased
D
candid
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 #10604)
English Language
UTME / JAMB 1995
Antonyms (Opposite in Meaning)
Choose the most appropriate option opposite in meaning of the underlined word.
We watch in wonder as she rattled away in that esoteric language?
A
inscrutable
B
familiar
C
secret
D
obscure
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 #10607)
English Language
UTME / JAMB 1995
Antonyms (Opposite in Meaning)
Solution
Choose the most appropriate option opposite in meaning of the underlined word.
She was asked to swallow her pride and get busy.
A
be more realistic
B
eat up her own pride
C
be more insistent
D
be less proud
medium Difficulty
Verified Correct Answer: Option C
Grammar & Contextual Explanation
Swallow in this regards means to decide to do something although it will make you feel embarrassed or ashamed.
The option that is option in meaning to swallow as used in the sentence above is option C. ie,
Be more insistent; insisting on or demanding something; not allowing refusal.
Source: Myschool Past Questions Archive (Record #10608)
English Language
UTME / JAMB 1995
Antonyms (Opposite in Meaning)
Choose the most appropriate option opposite in meaning of the underlined word.
Many species in creation have mutated over the years into new forms of life......?
A
stablized
B
manifested
C
transformed
D
standardized
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 #10611)
English Language
UTME / JAMB 1995
Antonyms (Opposite in Meaning)
Solution
Choose the most appropriate option opposite in meaning of the underlined word.
His textile business deals are in gross?
A
wholesale
B
imported
C
retailed
D
exported
medium Difficulty
Verified Correct Answer: Option C
Grammar & Contextual Explanation
Gross in this context means something that is large-scale, bulky, big, fat, great etc. the opposite of gross from the given options is retailed which means ''The sale of goods or commodities in small quantities directly to consumers''.
Source: Myschool Past Questions Archive (Record #10612)
English Language
UTME / JAMB 1995
Antonyms (Opposite in Meaning)
Choose the most appropriate option opposite in meaning of the underlined word.
The government is initiating new effective programmes to boost production?
A
ending / enhance
B
rewiewing / renew
C
rearranging / increase
D
terminating / reduce
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 #10614)