Q. If in a row of six books, Book A is placed to the left of Book B, and Book C is placed to the right of Book D, which of the following statements is necessarily true?
A.
Book A is to the left of Book D
B.
Book B is to the right of Book C
C.
Book D is to the left of Book C
D.
Book A is to the right of Book C
Show solution
Solution
Since Book C is to the right of Book D, it must be true that Book D is to the left of Book C.
Correct Answer: C — Book D is to the left of Book C
Learn More →
Q. If log_a(b) = c, which of the following is equivalent?
A.
a^c = b
B.
b^c = a
C.
c^a = b
D.
b^a = c
Show solution
Solution
The definition of logarithms states that if log_a(b) = c, then a raised to the power of c equals b, hence a^c = b.
Correct Answer: A — a^c = b
Learn More →
Q. If Partner A contributes 60% of the capital and Partner B contributes 40%, how should profits be divided if they agreed to split based on capital contribution?
A.
60% to A and 40% to B
B.
50% to A and 50% to B
C.
70% to A and 30% to B
D.
40% to A and 60% to B
Show solution
Solution
Profits should be divided in accordance with their capital contributions, hence 60% to A and 40% to B.
Correct Answer: A — 60% to A and 40% to B
Learn More →
Q. If Partner A contributes 60% of the capital and Partner B contributes 40%, how should profits be divided if they agree to split based on capital contribution?
A.
60% to A and 40% to B
B.
50% to A and 50% to B
C.
70% to A and 30% to B
D.
40% to A and 60% to B
Show solution
Solution
Profits should be divided in accordance with their capital contributions, which are 60% for A and 40% for B.
Correct Answer: A — 60% to A and 40% to B
Learn More →
Q. If Product C's sales in Q4 are projected to be 400 units, what is the expected growth rate from Q3?
A.
20%
B.
25%
C.
30%
D.
15%
Show solution
Solution
The expected growth rate from Q3 (320 units) to Q4 (400 units) is 25%.
Correct Answer: B — 25%
Learn More →
Q. If set A = {a, b, c} and set B = {b, c, d}, what is the hybrid set formed by the intersection of A and B?
A.
{a, b, c, d}
B.
{b, c}
C.
{a, d}
D.
{}
Show solution
Solution
The intersection of sets A and B includes only the elements that are present in both sets, which are {b, c}.
Correct Answer: B — {b, c}
Learn More →
Q. If set A = {x | x is an even number less than 10} and set B = {x | x is a prime number less than 10}, what is A ∩ B?
A.
{2, 4, 6, 8}
B.
{2}
C.
{2, 3, 5, 7}
D.
{2, 3, 5, 7, 4, 6, 8}
Show solution
Solution
The intersection A ∩ B includes elements that are both even and prime, which is {2}.
Correct Answer: B — {2}
Learn More →
Q. If set A contains 15 elements, set B contains 10 elements, and the intersection of A and B contains 5 elements, how many elements are in the union of sets A and B?
Show solution
Solution
The number of elements in the union of sets A and B is given by |A ∪ B| = |A| + |B| - |A ∩ B| = 15 + 10 - 5 = 20.
Correct Answer: A — 20
Learn More →
Q. If set A contains the elements {1, 2, 3, 4} and set B contains the elements {3, 4, 5, 6}, what is the intersection of sets A and B?
A.
{1, 2}
B.
{3, 4}
C.
{5, 6}
D.
{1, 2, 3, 4, 5, 6}
Show solution
Solution
The intersection of sets A and B is the set of elements that are common to both sets. Therefore, the intersection is {3, 4}.
Correct Answer: B — {3, 4}
Learn More →
Q. If set A contains the numbers {1, 2, 3, 4, 5} and set B contains the numbers {4, 5, 6, 7, 8}, what is the intersection of sets A and B?
A.
{1, 2, 3}
B.
{4, 5}
C.
{6, 7, 8}
D.
{1, 2, 3, 4, 5, 6, 7, 8}
Show solution
Solution
The intersection of sets A and B is the set of elements that are common to both sets, which is {4, 5}.
Correct Answer: B — {4, 5}
Learn More →
Q. If set C is a hybrid set formed by combining set A and set B, which of the following is a possible characteristic of set C?
A.
Set C cannot have any elements from set A.
B.
Set C must have all elements from set B.
C.
Set C may have elements that are exclusive to either set A or set B.
D.
Set C will always be larger than both set A and set B.
Show solution
Solution
Hybrid sets can include elements that are exclusive to either of the original sets, making them versatile in composition.
Correct Answer: C — Set C may have elements that are exclusive to either set A or set B.
Learn More →
Q. If set C is defined as the set of all x such that x is a multiple of 3 and less than 15, which of the following is a member of set C?
Show solution
Solution
Both 12 and 9 are multiples of 3 and less than 15, but 12 is the first option listed.
Correct Answer: A — 12
Learn More →
Q. If set C is defined as {x | x is an integer and x is divisible by 3}, which of the following integers is NOT a member of set C?
Show solution
Solution
The integer 10 is not divisible by 3, hence it is not a member of set C.
Correct Answer: C — 10
Learn More →
Q. If set D is a hybrid set that includes elements from set E and set F, which of the following is a valid conclusion?
A.
All elements of set E are in set D.
B.
Set D cannot have any elements from set F.
C.
Set D may contain elements that are not in either set E or set F.
D.
Set D must be equal to the intersection of set E and set F.
Show solution
Solution
Hybrid sets can include additional elements beyond those found in the original sets, allowing for greater flexibility.
Correct Answer: C — Set D may contain elements that are not in either set E or set F.
Learn More →
Q. If set D is defined by the constraints z ≥ 2 and z ≤ 8, which of the following is the range of values for set D?
A.
2 to 8
B.
1 to 9
C.
0 to 10
D.
2 to 9
Show solution
Solution
The range of values for set D is from 2 to 8, inclusive.
Correct Answer: A — 2 to 8
Learn More →
Q. If set P = {1, 2, 3, 4} and set Q = {3, 4, 5, 6}, what is the difference P - Q?
A.
{1, 2}
B.
{3, 4}
C.
{5, 6}
D.
{1, 2, 5, 6}
Show solution
Solution
The difference P - Q includes elements in P that are not in Q, which is {1, 2}.
Correct Answer: A — {1, 2}
Learn More →
Q. If set P = {x | x is an even number less than 10} and set Q = {x | x is a prime number less than 10}, what is the intersection of sets P and Q?
A.
{2, 4, 6, 8}
B.
{2, 3, 5, 7}
C.
{2}
D.
{4, 6, 8}
Show solution
Solution
The intersection of sets P and Q includes elements that are both even and prime. The only even prime number is 2.
Correct Answer: C — {2}
Learn More →
Q. If set R = {1, 2, 3, 4, 5} and set S = {4, 5, 6, 7}, what is the symmetric difference of sets R and S?
A.
{1, 2, 3, 6, 7}
B.
{4, 5}
C.
{1, 2, 3, 4, 5, 6, 7}
D.
{6, 7}
Show solution
Solution
The symmetric difference of sets R and S includes elements that are in either set but not in both. Thus, it is {1, 2, 3, 6, 7}.
Correct Answer: A — {1, 2, 3, 6, 7}
Learn More →
Q. If set T = {1, 2, 3} and set U = {2, 3, 4}, what is the difference T - U?
A.
{1}
B.
{2, 3}
C.
{4}
D.
{}
Show solution
Solution
The difference T - U includes elements that are in set T but not in set U, which is {1}.
Correct Answer: A — {1}
Learn More →
Q. If set X = {a, b, c} and set Y = {b, c, d}, what is the union of sets X and Y?
A.
{a, b, c, d}
B.
{b, c}
C.
{a, b}
D.
{c, d}
Show solution
Solution
The union of sets X and Y includes all unique elements from both sets. Thus, the union is {a, b, c, d}.
Correct Answer: A — {a, b, c, d}
Learn More →
Q. If set X contains {1, 2, 3} and set Y contains {3, 4, 5}, what is the hybrid set formed by the union of set X and set Y?
A.
{1, 2, 3, 4, 5}
B.
{1, 2, 3}
C.
{3, 4}
D.
{1, 2, 4, 5}
Show solution
Solution
The hybrid set formed by the union of set X and set Y includes all unique elements from both sets, which are {1, 2, 3, 4, 5}.
Correct Answer: A — {1, 2, 3, 4, 5}
Learn More →
Q. If set X contains {1, 2, 3} and set Y contains {3, 4, 5}, what is the hybrid set formed by the union of X and Y?
A.
{1, 2, 3, 4, 5}
B.
{3}
C.
{1, 2}
D.
{4, 5}
Show solution
Solution
The union of set X and set Y includes all unique elements from both sets, resulting in {1, 2, 3, 4, 5}.
Correct Answer: A — {1, 2, 3, 4, 5}
Learn More →
Q. If task C must be completed before task A, and task A must be completed before task D, which of the following is a correct inference?
A.
C can start after A
B.
D can start before A
C.
A can start before C
D.
D can start only after C
Show solution
Solution
D can only start after both A and C are completed, making the inference correct.
Correct Answer: D — D can start only after C
Learn More →
Q. If task E cannot start until both tasks A and C are completed, which of the following statements is true?
A.
E can start before A
B.
E can start before C
C.
E can start after A and C
D.
E can start only after A or C
Show solution
Solution
E can only start after both A and C are completed, making the statement true.
Correct Answer: C — E can start after A and C
Learn More →
Q. If task F must be completed before task G, and task G must be completed before task H, which of the following is a valid sequence?
A.
H, G, F
B.
F, H, G
C.
F, G, H
D.
G, F, H
Show solution
Solution
The sequence F, G, H respects the order that F is before G and G is before H.
Correct Answer: C — F, G, H
Learn More →
Q. If task M must be completed before task N, and task N must be completed before task O, which of the following is a valid inference?
A.
M can start after N
B.
O can start before M
C.
N can start before M
D.
M must be completed before O
Show solution
Solution
Since M must be completed before N, and N before O, M must indeed be completed before O.
Correct Answer: D — M must be completed before O
Learn More →
Q. If task X is dependent on tasks Y and Z being completed first, which of the following statements is true?
A.
X can start before Y and Z
B.
Y and Z can start after X
C.
X can only start after Y and Z
D.
Y and Z are independent of X
Show solution
Solution
Task X can only start after both tasks Y and Z are completed, making this statement true.
Correct Answer: C — X can only start after Y and Z
Learn More →
Q. If tasks A, B, and C must be completed in that order, which of the following sequences is valid?
A.
C, B, A
B.
A, C, B
C.
B, A, C
D.
A, B, C
Show solution
Solution
The sequence A, B, C follows the required order.
Correct Answer: D — A, B, C
Learn More →
Q. If tasks A, B, and C must be completed in that order, which of the following sequences is invalid?
A.
A, B, C
B.
B, A, C
C.
A, C, B
D.
C, A, B
Show solution
Solution
The sequence B, A, C is invalid as it does not respect the order of A before B.
Correct Answer: B — B, A, C
Learn More →
Q. If tasks L, M, and N are to be completed with L before M and N, which of the following sequences is correct?
A.
M, L, N
B.
L, N, M
C.
N, M, L
D.
L, M, N
Show solution
Solution
The sequence L, M, N is correct as it respects the order of L before both M and N.
Correct Answer: D — L, M, N
Learn More →
Showing 301 to 330 of 1311 (44 Pages)
