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The MCQs below are drawn from the General Knowledge subject category.
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1
Ignoring air resistance, at what launch angle above the horizontal does a projectile achieve maximum range?
A. 45 degrees
B. 30 degrees
C. 60 degrees
D. 90 degrees
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Explanation
On level ground without air resistance, projectile range is maximized at 45°, which gives the largest horizontal displacement.
2
Three resistors of 3 Ω, 4 Ω and 6 Ω are connected in series. What is the equivalent resistance?
A. 7 Ω
B. 13 Ω
C. 0.45 Ω
D. 72 Ω
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Explanation
In series, resistances add: 3+4+6 = 13 Ω, so the equivalent resistance is 13 Ω.
3
If two independent events A and B have probabilities P(A)=0.3 and P(B)=0.4, what is the probability that at least one occurs?
A. 0.12
B. 0.70
C. 0.58
D. 0.30
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Explanation
P(at least one)=1−P(neither)=1−(1−0.3)(1−0.4)=1−0.7×0.6=1−0.42=0.58.
4
Which is the primary goal of database normalization?
A. Eliminate redundant data and prevent update anomalies
B. Increase storage redundancy for backup
C. Make queries run faster by denormalizing
D. Ensure the database uses a single table for all data
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Explanation
Normalization structures tables to remove redundancy and avoid update/delete/insert anomalies, improving data integrity.
5
What is the average-case time complexity of binary search on a sorted array of n elements?
A. O(n)
B. O(n log n)
C. O(n^2)
D. O(log n)
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Explanation
Binary search halves the search interval each step, giving a logarithmic time complexity O(log n).
6
A right-angled triangle has legs of lengths 6 cm and 8 cm. What is the area of the triangle?
A. 14 cm²
B. 24 cm²
C. 28 cm²
D. 48 cm²
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Explanation
Area of a right triangle = (1/2)*leg1*leg2 = 0.5*6*8 = 24 cm².
7
Solve the system of equations: 2x + 3y = 7 and x - y = 1. What is (x,y)?
A. (1,2)
B. (3,2)
C. (2,1)
D. (4,-1)
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Explanation
From x - y = 1, x = 1 + y; substituting gives 2(1+y)+3y=7 →5y=5 →y=1 and x=2.
8
Statements: (1) All programmers are logical. (2) Some logical people are mathematicians. Conclusions: I. Some programmers are mathematicians. II. Some mathematicians are logical. Which conclusion(s) follow?
A. Only conclusion II follows
B. Only conclusion I follows
C. Both conclusions follow
D. Neither conclusion follows
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Explanation
From (2) some mathematicians are logical, so II follows; I does not necessarily follow because programmers being logical doesn't guarantee overlap with mathematicians.
9
Choose the word that is most nearly opposite in meaning to 'ubiquitous'.
A. common
B. omnipresent
C. prevalent
D. rare
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Explanation
"Ubiquitous" means present everywhere, so its opposite is "rare," meaning uncommon or scarce.
10
Although the instructor's feedback was direct, she intended it to be constructive _____ to help students improve their code.
A. criticism
B. guidance
C. speculation
D. reprimand
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Explanation
"Guidance" fits the context of helpful, constructive feedback; other options imply punishment or conjecture.
