Q. In a recent study, researchers found that students who study in groups tend to perform better than those who study alone. Which of the following can be inferred from this study?
A.
Group study is the only effective way to learn.
B.
Studying alone is less effective than studying in groups.
C.
All students prefer group study over studying alone.
D.
Performance is not affected by study methods.
Solution
The study indicates a correlation between group study and better performance, suggesting that group study is more effective.
Correct Answer:
B
— Studying alone is less effective than studying in groups.
Q. In a recent tennis tournament, the top seed was eliminated in the quarter-finals. What does this imply about the tournament's competitiveness?
A.
The tournament was predictable.
B.
The lower-seeded players were exceptionally skilled.
C.
The top seed was not in form.
D.
All of the above.
Solution
The elimination of the top seed suggests a competitive tournament where lower-seeded players performed well and the top seed may not have played at their best.
Q. In a regular pentagon, what is the measure of each interior angle?
A.
108 degrees
B.
120 degrees
C.
90 degrees
D.
72 degrees
Solution
The measure of each interior angle in a regular pentagon can be calculated using the formula (n-2) * 180 / n, which results in (5-2) * 180 / 5 = 108 degrees.
Q. In a relay race, if the first runner completes their leg in 12 seconds and the second runner takes 15 seconds, what is the total time for the first two legs?
A.
27 seconds
B.
30 seconds
C.
25 seconds
D.
20 seconds
Solution
The total time for the first two legs is simply the sum of the individual times: 12 + 15 = 27 seconds.
Q. In a resource allocation scenario, if a company decides to allocate more funds to marketing rather than research and development, this is an example of: (2023)
A.
Budget reallocation.
B.
Resource optimization.
C.
Opportunity cost.
D.
Strategic planning.
Solution
This decision reflects budget reallocation, as funds are being shifted from one area to another, making option 0 correct.
Q. In a resource allocation scenario, which of the following factors is least likely to influence decision-making?
A.
Cost-benefit analysis.
B.
Stakeholder interests.
C.
Personal biases of decision-makers.
D.
Geographical location of resources.
Solution
While geographical location can be a factor, it is often less influential than cost-benefit analysis, stakeholder interests, and personal biases, making option 3 the least likely.
Correct Answer:
D
— Geographical location of resources.
Q. In a right triangle, if one of the angles is 30 degrees, what is the measure of the other non-right angle?
A.
30 degrees
B.
45 degrees
C.
60 degrees
D.
90 degrees
Solution
In a right triangle, the sum of the angles is 180 degrees. If one angle is 30 degrees and the right angle is 90 degrees, the other angle must be 60 degrees.
Q. In a round-robin tournament with 8 teams, each team plays every other team once. If Team A won 5 matches, lost 2, and drew 1, what is Team A's total points if a win gives 3 points, a draw gives 1 point, and a loss gives 0 points? (2023)
Q. In a round-robin tournament with 8 teams, each team plays every other team once. If Team X won 5 matches, what is the maximum number of matches Team X could have lost?
A.
2
B.
3
C.
1
D.
0
Solution
In a round-robin format with 8 teams, each team plays 7 matches. If Team X won 5, it could have lost a maximum of 2 matches.
Q. In a round-robin tournament with 8 teams, each team plays every other team once. How many matches are played in total?
A.
28
B.
56
C.
14
D.
8
Solution
In a round-robin tournament, the number of matches is given by the formula n(n-1)/2, where n is the number of teams. Here, n = 8, so the total matches = 8(8-1)/2 = 28.
