Q. In a recent study, researchers found that students who study in groups perform better than those who study alone. Which of the following can be inferred from this study?
A.Group study is always more effective than individual study.
B.Students who study alone are less intelligent.
C.Collaboration enhances learning outcomes.
D.All students prefer group study over individual study.
Solution
The study indicates that collaboration enhances learning outcomes, but it does not claim that group study is always better or that students who study alone are less intelligent.
Correct Answer: C — Collaboration enhances learning outcomes.
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 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.
Q. In a scenario where resources are limited, which strategy is most effective for maximizing output?
A.Allocating resources equally across all departments.
B.Prioritizing departments based on their contribution to overall goals.
C.Investing heavily in one department to boost its performance.
D.Reducing resources in underperforming departments without analysis.
Solution
Prioritizing departments based on their contribution to overall goals ensures that resources are allocated where they can generate the most value, making option 1 the best strategy.
Correct Answer: B — Prioritizing departments based on their contribution to overall goals.
Q. In a scenario where set B is defined as {x | x is a natural number and x < 10}, which of the following elements would violate the constraints of set B?
A.5
B.10
C.0
D.7
Solution
The element 10 violates the constraint of being less than 10, thus it cannot be included in set B.
Q. In a scheduling scenario, if task B cannot start until task A is finished, and task C cannot start until task B is finished, which of the following is a valid conclusion?
A.A must finish before C
B.B can start before A
C.C can start before B
D.A can start after C
Solution
A must finish before C can start, making the conclusion valid.
Q. In a scheduling set involving five friends, A, B, C, D, and E, if A cannot sit next to B, and C must sit between D and E, which of the following arrangements is valid?
A.A, C, D, E, B
B.B, A, C, E, D
C.D, C, E, A, B
D.C, D, A, B, E
Solution
The arrangement A, C, D, E, B satisfies the conditions as A is not next to B and C is between D and E.
Q. In a scheduling set involving five tasks A, B, C, D, and E, if task A must be completed before task B, and task C must be completed before task D, which of the following is a valid sequence?
A.A, B, C, D, E
B.C, D, A, B, E
C.B, A, D, C, E
D.E, A, C, D, B
Solution
The sequence A, B, C, D, E respects the constraints that A is before B and C is before D.
Q. In a scheduling set involving four tasks A, B, C, and D, if task A must be completed before task B, and task C cannot start until task D is finished, which of the following sequences is valid?
A.A, B, C, D
B.D, C, A, B
C.B, A, D, C
D.C, D, A, B
Solution
The only valid sequence is D, C, A, B, as it respects the constraints given.
Q. In a survey of 150 people, 90 like tea, 60 like coffee, and 30 like both. How many people like neither tea nor coffee?
A.30
B.60
C.90
D.120
Solution
Using inclusion-exclusion, the number of people who like either tea or coffee is 90 + 60 - 30 = 120. Therefore, those who like neither is 150 - 120 = 30.
