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English Language
UTME / JAMB 1996
Concord (Subject-Verb Agreement)
Solution
Select the option that best explains the information conveyed in the sentence.
Imona couldn't have attended lectures yesterday
A
it was impossible that Imona attended lectures yesterday
B
It was possible that Imona didn't attend lectures yesterday
C
It was possible that Imona attended lectures yesterday
D
It was impossible that Imona didn't attend lectures yesterday
medium Difficulty
Verified Correct Answer: Option A
Grammar & Contextual Explanation
The sentence "Imona couldn't have attended lectures yesterday" suggests a situation where it is unlikely or impossible for Imona to have attended lectures on the specified day. The word "couldn't" implies a strong negation or impossibility. Option A, "It was impossible that Imona attended lectures yesterday," is the correct interpretation. It reflects the idea that attending lectures yesterday is not a possible or likely scenario for Imona.
Source: Myschool Past Questions Archive (Record #10743)
Mathematics
UTME / JAMB 1995
Statistics (Data Representation, Central Tendency & Dispersion)
Solution
\(\begin{array}{c|c} class& 1 - 3 & 4 - 6 & 7 - 9\\ \hline Frequency & 5 & 8 & 5\end{array}\)
Find the standard deviation of the data using the table above
A
5
B
\(\sqrt{6}\)
C
\(\frac{5}{3}\)
D
\(\sqrt{5}\)
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
\(\begin{array}{c|c} \text{class intervals} & Fre(F) & \text{class-marks(x)} & Fx & (x - x)& (x - x)^2 & F(x - x)^2 \\ \hline 1 - 3 & 5 & 2 & 10 & -3 & 9 & 45\\ 4 - 6 & 8 & 5 & 40 & 0 & 0 & 0 \\ 7 - 9 & 5 & 8 & 40 & 3 & 9 & 45 \\ \hline & 18 & & 90 & & & 90 \end{array}\)
x = \(\frac{\sum fx}{\sum f}\)
= \(\frac{90}{18}\)
= 5
S.D = \(\frac{\sum f(x - x)^2}{\sum f}\)
= \(\frac{90}{18}\)
= \(\sqrt{5}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #30946)
Mathematics
UTME / JAMB 1995
Statistics (Data Representation, Central Tendency & Dispersion)
Diagram
Solution
The pie chart shows the distribution of students in a secondary school class. If 30 students offered French, how many offered C.R.K?
Attached Figure / Diagram
A
25
B
15
C
10
D
8
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Total number of students (y) using the subject French
( 90 / 360 )º x Y = 30
Y = 30 x 4
Y = 120
History- 90º + French- 90º + Economics- 150º + CRK = 360º
CRK = 360º - 330º = 30º
Number that offered CRK:
( 30 / 360 )º x 120 = 10
Source: WAEC / JAMB / NECO Classroom Archive (Record #30945)
Physics
UTME / JAMB 1995
Scalars, Vectors & Relative Motion
Diagram
Solution
In the above fig, PQ and R are vectors, which of the following options, gives a correct relationship between the vectors?
Attached Figure / Diagram
A
P = Q + R
B
P = Q - R
C
P = R - Q
D
P + Q + R = O
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Addition of vectors:
P = Q + R
Source: WAEC / JAMB / NECO Classroom Archive (Record #41727)
Physics
UTME / JAMB 1995
Electrostatics & Capacitors
Diagram
Solution
The resultant capacitance in the fig above is
Attached Figure / Diagram
A
15.0µF
B
9.8µF
C
1.3µF
D
0.8µF
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Capacitors in parallel = 4\(\mu\)f + 2 \(\mu\) f = 6\(\mu\) f
Capacitors in series =\(\frac{1}{C_{eff}}\) = \(\frac{1}{C_1} + \frac{1}{C_2} + \frac{1}{C_3} + \frac{1}{C_4}\)
\(\frac{1}{C_{eff}}\) = \(\frac{1}{2} + \frac{1}{3} + \frac{1}{6} + \frac{1}{4}\) = \(\frac{6 + 4 + 2 + 3}{12}\)
\(\frac{1}{C_{eff}}\) = \(\frac{15}{12}\)
C\(_{eff}\) = \(\frac{12}{15}\) = 0.8\(\mu\) f
Source: WAEC / JAMB / NECO Classroom Archive (Record #41732)
Chemistry
UTME / JAMB 1995
Acids, Bases, pH & Salts
Diagram
Solution
The option above shows the PH changes for the titration of a
Attached Figure / Diagram
A
strong acid versus strong base
B
weak acid versus strong base
C
strong acid versus weak base
D
weak acid versus weak base
medium Difficulty
Verified Correct Answer: Option B
Chemical Principles & Mechanism
Option B is a graph of weak a acid and strong base
Source: WAEC / JAMB / NECO Classroom Archive (Record #31527)
Chemistry
UTME / JAMB 1995
Periodic Table & Periodicity
Solution
A particle that contains 8 proton, 9 neutrons and 7 electrons could be written as?
A
O
B
O+
C
N
D
O-
medium Difficulty
Verified Correct Answer: Option B
Chemical Principles & Mechanism
The atomic number is the number of protons in the nucleus of an atom.
The number of protons define the identity of an element (i.e., an element with 8 protons is a carbon atom, no matter how many neutrons may be present).
If an atom loses or gains electrons, it will become a positively or negatively charged particle, called an ion.
The loss of one or more electrons results in more protons than electrons and an overall positively charged ion, called a cation.
Source: WAEC / JAMB / NECO Classroom Archive (Record #13628)
Chemistry
UTME / JAMB 1995
Water, Solutions & Solubility
In general, an increase in temperature increases the solubility of a solute in water because?
A
more solute molecules collide with each other
B
most solutes dissolve with the evoltion of heat
C
more solute molecules dissociate at hihger temperatures
D
most solutes dissolve with absorption of heat
medium Difficulty
Verified Correct Answer: Option D
Chemical Principles & Mechanism
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: WAEC / JAMB / NECO Classroom Archive (Record #13644)
Chemistry
UTME / JAMB 1995
Non-Metals & Their Compounds
Solution
In the industrial production of hydrogen from natural gas, carbon (IV) oxide produced along with the hydrogen is removed by?
A
washing with water under pressure
B
passing the mixture into lime water
C
using ammoniacal copper (l) chloride
D
drying over phoshorus (V) oxide
medium Difficulty
Verified Correct Answer: Option A
Chemical Principles & Mechanism
The carbon (IV) oxide produced along with the hydrogen is removed by dissolving it in water under a pressure of 30atm or other solvents like caustic soda solution.
Source: WAEC / JAMB / NECO Classroom Archive (Record #13678)
Chemistry
UTME / JAMB 1995
Organic Chemistry I: Hydrocarbons & Crude Oil
Diagram
Solution
The functional group represented in the compound above is?
Attached Figure / Diagram
A
alkanol
B
alkanal
C
alkanone
D
alanoate
medium Difficulty
Verified Correct Answer: Option B
Chemical Principles & Mechanism
The carbonyl group in tha alkanal (aldehyde) family is always at the end of a carbon chain
Source: WAEC / JAMB / NECO Classroom Archive (Record #31530)
Mathematics
UTME / JAMB 1995
Number Bases & Modular Arithmetic
Solution
Calculate \(3310_5 - 1442_5\)
A
13135
B
21315
C
43025
D
11035
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
\(3310_{5} - 1442_{5} = 1313_{5}\)
You can either do a direct subtraction (which is easier), or convert both numbers in base 10, subtract and convert back to base 5 (if you're not sure).
Source: Myschool Past Questions Archive (Record #30871)
Mathematics
UTME / JAMB 1995
Fractions, Decimals, Percentages & Approximations
Solution
Convert 3.1415926 to 5 decimal places
A
3.14160
B
3.14159
C
0.31415
D
3.14200
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
3.1415926 \(\approxeq\) 3.14159 (to 5 d.p)
Source: Myschool Past Questions Archive (Record #30873)
Mathematics
UTME / JAMB 1995
Fractions, Decimals, Percentages & Approximations
Solution
The length of a notebook 15cm, was measured as 16.8cm. Calculate the percentage error to 2 significant figures.
A
12.00%
B
11.00%
C
10.71%
D
0.12%
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
Error = (16.8cm - 15cm = 1.8cm\)
\(\text{% error} = \frac{1.8}{15} \times 100% = \frac{180}{15}\)
= \(12.00%\)
Source: Myschool Past Questions Archive (Record #30875)
Mathematics
UTME / JAMB 1995
Fractions, Decimals, Percentages & Approximations
Solution
A worker's present salary is N24,000 per annum. His annual increment is 10% of his basic salary. What would be his annual salary at the beginning of the third year?
A
N28,800
B
N29,040
C
N31,200
D
N31,944
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
Present salary = N24,000.
Increment after first year = \(\frac{10}{100} \times N24,000 = N2,400\)
Salary at the beginning of second year = N(24,000 + 2,400)
= N26,400.
Increment after second year = \(\frac{10}{100} \times N26,400 = N2,640\)
Salary at the beginning of third year = N(26,400 + 2,640)
= N29,040.
\(\therefore\) His salary at the beginning of the third year = N29,040.
Source: Myschool Past Questions Archive (Record #30876)
Mathematics
UTME / JAMB 1995
Indices, Logarithms & Surds
Solution
Express the product of 0.0014 and 0.011 in standard form
A
1.54 x 10-2
B
1.54 x 10-3
C
1.54 x 10-4
D
1.54 x 10-5
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
\(0.0014 = 1.4 \times 10^{-3}\)
\(0.011 = 1.1 \times 10^{-2}\)
\(\therefore 0.0014 \times 0.011 = 1.4 \times 10^{-3} \times 1.1 \times 10^{-2}\)
= \(1.54 \times 10^{-5}\)
Source: Myschool Past Questions Archive (Record #30877)