Q. In a row of six books, A is placed to the left of B, but to the right of C. D is placed to the right of E, who is to the left of F. Which book is at the extreme right?
A.
A
B.
B
C.
D
D.
F
Solution
The arrangement is C, A, B, E, D, F. F is at the extreme right.
Q. In a scenario where a company has to choose between investing in marketing or product development, which principle of resource allocation is being applied? (2023)
A.
Scarcity.
B.
Efficiency.
C.
Equity.
D.
Sustainability.
Solution
The principle of scarcity is applied when a company must choose between two competing investments due to limited resources, making option 0 correct.
Q. In a scenario where a set is defined as {x | x is a positive integer and x is less than 10}, which of the following is the largest element in this set?
A.
8
B.
9
C.
10
D.
7
Solution
The largest element in the set of positive integers less than 10 is '9'.
Q. In a scenario where a set is defined by the constraints 'x is a positive integer and x is less than 20', which of the following numbers is included in this set?
A.
0
B.
15
C.
20
D.
25
Solution
15 is a positive integer and is less than 20, making it a valid member of the set.
Q. In a scenario where a set is defined by the constraints 'x is a positive integer and x is less than or equal to 20', which of the following statements is true?
A.
The set includes negative integers.
B.
The set includes the number 20.
C.
The set includes zero.
D.
The set includes fractions.
Solution
The set includes the number 20 as it satisfies the constraint of being a positive integer less than or equal to 20.
Correct Answer:
B
— The set includes the number 20.
Q. In a scenario where a set is defined by the constraints of being both a multiple of 3 and less than 30, which of the following is an element of this set?
A.
27
B.
31
C.
15
D.
10
Solution
27 is a multiple of 3 and is less than 30, making it a valid element of the set.
Q. In a scenario where a set is defined by the constraints of being both a prime number and less than 10, which of the following numbers would be excluded?
A.
2
B.
3
C.
5
D.
9
Solution
The number '9' is excluded as it is not a prime number.
Q. In a scenario where a set is defined by the constraints of being both a prime number and less than 20, which of the following is NOT included in the set?
A.
2
B.
3
C.
4
D.
19
Solution
The number '4' is not a prime number, thus it does not belong to the set defined by the given constraints.
Q. In a scenario where a set is defined by the constraints of being both a square number and less than 50, which of the following numbers would be included?
A.
36
B.
49
C.
64
D.
25
Solution
The number 25 is included as it is a square number (5^2) and less than 50.
Q. In a scenario where a set is defined by the constraints of being both a square number and less than 50, which of the following is NOT a member of this set?
A.
1
B.
4
C.
9
D.
49
Solution
49 is a square number but is included in the set; however, if the constraint was 'less than or equal to 48', then it would not be included.
Q. In a scenario where resources are limited, which strategy is most effective for prioritizing resource allocation? (2023)
A.
Random selection of projects
B.
Allocating resources based on historical performance
C.
Evaluating projects based on their potential return on investment
D.
Distributing resources equally among all projects
Solution
Evaluating projects based on their potential return on investment is the most effective strategy for prioritizing resource allocation in scenarios with limited resources.
Correct Answer:
C
— Evaluating projects based on their potential return on investment
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 A takes 2 hours, task B takes 3 hours, and task C takes 1 hour, which of the following combinations can be completed in 5 hours?
A.
A and B
B.
B and C
C.
A and C
D.
A, B, and C
Solution
B and C can be completed in 4 hours, which is within the 5-hour limit.
Q. In a scheduling scenario, if task A takes 2 hours, task B takes 3 hours, and task C takes 1 hour, which of the following combinations allows for the earliest completion of all tasks if A must be done before B?
A.
A, B, C
B.
C, A, B
C.
B, A, C
D.
A, C, B
Solution
The combination C, A, B allows for the earliest completion since C takes the least time and can be done first.
