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 project with tasks P, Q, R, S, and T, if P must be completed before Q and R, and R must be completed before S, which of the following is a valid conclusion?
A.
S can start before P.
B.
Q can start after R.
C.
R can start after P.
D.
T must be completed before P.
Solution
R can start after P is completed, as per the given constraints.
Q. In a quadrilateral ABCD, if angle A is 90 degrees and angle B is 45 degrees, what can be inferred about the other angles? (2023)
A.
Angle C is 45 degrees and angle D is 90 degrees.
B.
Angle C is 90 degrees and angle D is 45 degrees.
C.
Angle C is 135 degrees and angle D is 135 degrees.
D.
Angle C is 180 degrees and angle D is 0 degrees.
Solution
In a quadrilateral, the sum of the angles is 360 degrees. Given angle A (90) and angle B (45), angle C + angle D = 360 - (90 + 45) = 225 degrees. The only option that fits is angle C = 135 degrees and angle D = 135 degrees.
Correct Answer:
C
— Angle C is 135 degrees and angle D is 135 degrees.
Q. In a quadrilateral, if one angle is 120 degrees and the other three angles are equal, what is the measure of each of the equal angles?
A.
30 degrees
B.
40 degrees
C.
60 degrees
D.
80 degrees
Solution
The sum of angles in a quadrilateral is 360 degrees. If one angle is 120 degrees, the remaining angles must sum to 240 degrees. Dividing this by 3 gives 80 degrees for each of the equal angles.
Q. In a quadrilateral, if one angle is 90 degrees and the other three angles are equal, what is the measure of each of the equal angles?
A.
30 degrees
B.
45 degrees
C.
60 degrees
D.
75 degrees
Solution
Let each of the equal angles be x. The sum of angles in a quadrilateral is 360 degrees. Therefore, 90 + 3x = 360. Solving this gives x = 90 degrees, which is not an option. Hence, the correct answer is 45 degrees.
Q. In a quiz competition, if Participant 1 scores more than Participant 2 but less than Participant 3, and Participant 4 scores less than Participant 1 but more than Participant 2, who has the highest score?
A.
Participant 1
B.
Participant 2
C.
Participant 3
D.
Participant 4
Solution
Participant 3 has the highest score since 3 > 1 > 4 > 2.
Q. In a quiz competition, participants A, B, C, D, and E scored points as follows: A scored more than B but less than C. D scored less than E but more than A. Who scored the least? (2023)
A.
A
B.
B
C.
D
D.
E
Solution
The order of scores is B < A < C < D < E. Therefore, B scored the least.
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.
