Q. In a knockout tournament, if there are 16 teams, how many matches are required to determine the winner?
A.15
B.16
C.14
D.8
Solution
In a knockout tournament, the number of matches required to determine a winner is always one less than the number of teams. Therefore, for 16 teams, 16 - 1 = 15 matches are needed.
Q. In a linear arrangement of five friends A, B, C, D, and E, if A is to the left of B and C is to the right of D, which of the following must be true?
A.A is to the left of C
B.D is to the right of A
C.B is to the left of D
D.E is in the middle
Solution
Since A is to the left of B and C is to the right of D, we cannot definitively place E without additional information. However, A being to the left of C is a possible arrangement.
Q. In a linear arrangement of four people P, Q, R, and S, if P is sitting next to Q and R is sitting at one end, which of the following is a possible arrangement?
A.R, P, Q, S
B.S, R, P, Q
C.Q, P, R, S
D.P, S, R, Q
Solution
R can be at one end, and P must be next to Q, making R, P, Q, S a valid arrangement.
Q. In a pie chart depicting the market share of four companies, Company A has 25%, Company B has 35%, Company C has 20%, and Company D has 20%. Which company has the least market share?
A.Company A
B.Company B
C.Company C
D.Company D
Solution
Company A has the least market share at 25% compared to the others.
Q. In a pie chart depicting the preferences of students for different sports, if 10% prefer basketball, 20% prefer football, and 30% prefer cricket, what percentage of students prefer other sports?
A.40%
B.50%
C.60%
D.70%
Solution
The percentage of students preferring other sports is 100% - (10% + 20% + 30%) = 40%.
Q. In a pie chart representing the market share of four companies, Company A has 25%, Company B has 35%, Company C has 20%, and Company D has 20%. If Company B increases its market share by 5%, what will be the new percentage of Company B?
A.30%
B.35%
C.40%
D.45%
Solution
Company B's new market share will be 35% + 5% = 40%.
Q. In a pie chart, if the segment for 'Transportation' is 25% and 'Housing' is 35%, what is the combined percentage for 'Food' and 'Entertainment' if they make up the rest?
A.40%
B.50%
C.60%
D.70%
Solution
The combined percentage for 'Food' and 'Entertainment' is 100% - (25% + 35%) = 40%.
Q. In a pie chart, if the segment representing 'Others' is 10% and the remaining segments are equally divided among three categories, what is the percentage of each of those categories?
A.30%
B.25%
C.20%
D.15%
Solution
The remaining percentage is 100% - 10% = 90%. Divided equally among three categories, each gets 90% / 3 = 30%.
Q. In a project involving tasks A, B, C, and D, if A and B can be done simultaneously but must be completed before C, and D can be done at any time, which of the following is a correct sequence?
A.A, B, C, D
B.C, A, B, D
C.D, A, B, C
D.B, A, C, D
Solution
The sequence A, B, C, D is valid as A and B can be done simultaneously before C.
Q. In a project involving tasks A, B, C, and D, if task D can only start after task B is completed, which of the following is a possible order of tasks?
A.A, D, B, C
B.B, A, C, D
C.C, B, A, D
D.D, A, B, C
Solution
The order B, A, C, D is valid as D starts after B.
Q. In a project timeline, if Task 1 must be completed before Task 2, and Task 3 can start only after Task 2, which of the following sequences is valid?
A.Task 1, Task 3, Task 2
B.Task 2, Task 1, Task 3
C.Task 1, Task 2, Task 3
D.Task 3, Task 1, Task 2
Solution
The sequence Task 1, Task 2, Task 3 is valid as it respects the order of completion.
Q. In a project with tasks P, Q, R, and S, if P must be completed before Q and R, and S can be done at any time, which of the following is a possible order of completion?
A.P, Q, R, S
B.R, P, Q, S
C.S, P, Q, R
D.Q, R, P, S
Solution
The order P, Q, R, S respects the dependency of P on Q and R.
Q. In a quiz competition, the scores of participants are as follows: M scored more than N but less than O. P scored less than M but more than Q. If Q scored the least, who has the highest score? (2023)
A.M
B.N
C.O
D.P
Solution
The order of scores is Q < P < M < O < N. Therefore, O has the highest score.
Q. In a ranking of five students based on their grades, if A is ranked higher than B and C, but lower than D, and E is ranked lower than C, who is ranked third?
A.A
B.B
C.C
D.D
Solution
The ranking order is D > A > B/C > E. Since A is higher than B and C, A is ranked third.
Q. In a recent study, researchers found that students who engage in group study sessions 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 group study.
C.All students prefer group study over studying alone.
D.Group study sessions are always more enjoyable.
Solution
The study indicates a comparison between group study and studying alone, suggesting that group study is more effective.
Correct Answer: B — Studying alone is less effective than group study.