Q. In a team of four, if A can only work with B or C, and D can only work with C, which of the following pairs can work together?
A.
A and D
B.
B and C
C.
C and D
D.
A and C
Show solution
Solution
A and C can work together as A is willing to work with C.
Correct Answer: D — A and C
Learn More →
Q. In a team setting, what is the significance of 'trust' among members?
A.
It leads to faster decision-making
B.
It eliminates the need for communication
C.
It fosters a competitive environment
D.
It is irrelevant to team success
Show solution
Solution
Trust is crucial as it encourages open communication and collaboration, leading to better team performance.
Correct Answer: A — It leads to faster decision-making
Learn More →
Q. In a team setting, what is the significance of establishing ground rules? (2023)
A.
To limit creativity
B.
To ensure accountability and respect
C.
To create hierarchy
D.
To discourage participation
Show solution
Solution
Establishing ground rules is significant as it helps ensure accountability and respect among team members, fostering a positive working environment.
Correct Answer: B — To ensure accountability and respect
Learn More →
Q. In a team setting, what is the significance of having diverse perspectives?
A.
It complicates decision-making
B.
It leads to conflicts
C.
It enhances creativity and innovation
D.
It slows down the process
Show solution
Solution
Diverse perspectives enhance creativity and innovation by bringing different ideas and viewpoints to the table, which can lead to more effective solutions.
Correct Answer: C — It enhances creativity and innovation
Learn More →
Q. In a tennis tournament, if the top seed is defeated in the first round, what is the likely impact on the tournament's structure?
A.
The tournament will be canceled.
B.
The top seed's absence will not affect the tournament.
C.
The tournament will have a different winner than expected.
D.
The tournament will be easier for all other players.
Show solution
Solution
The defeat of the top seed often leads to unexpected outcomes and can change the dynamics of the tournament.
Correct Answer: C — The tournament will have a different winner than expected.
Learn More →
Q. In a tournament, if a player wins 75% of their matches and plays 20 matches, how many matches did they win?
Show solution
Solution
If a player wins 75% of 20 matches, then they win 0.75 * 20 = 15 matches.
Correct Answer: A — 15
Learn More →
Q. In a triangle, if one angle is 90 degrees, what can be inferred about the other two angles?
A.
They are both acute angles.
B.
One is obtuse and the other is acute.
C.
They are both obtuse angles.
D.
They are equal.
Show solution
Solution
In a right triangle, the sum of the other two angles must be 90 degrees, making them both acute.
Correct Answer: A — They are both acute angles.
Learn More →
Q. In a triangle, if one angle is twice the size of another angle, and the third angle is 30 degrees less than the largest angle, what is the measure of the smallest angle?
A.
30 degrees
B.
45 degrees
C.
60 degrees
D.
75 degrees
Show solution
Solution
Let the smallest angle be x. Then the second angle is 2x and the largest angle is 2x - 30. The sum of angles in a triangle is 180 degrees. Therefore, x + 2x + (2x - 30) = 180. Solving this gives x = 30 degrees.
Correct Answer: A — 30 degrees
Learn More →
Q. In a triangle, if the lengths of two sides are 7 cm and 10 cm, which of the following could be the length of the third side?
A.
3 cm
B.
15 cm
C.
5 cm
D.
17 cm
Show solution
Solution
According to the triangle inequality theorem, the length of the third side must be less than the sum and greater than the difference of the other two sides. Therefore, the third side must be greater than 3 cm and less than 17 cm.
Correct Answer: A — 3 cm
Learn More →
Q. In an arithmetic progression, if the 3rd term is 15 and the 6th term is 24, what is the common difference?
Show solution
Solution
Let the first term be a and the common difference be d. From the equations a + 2d = 15 and a + 5d = 24, we can solve for d, which gives d = 3.
Correct Answer: B — 4
Learn More →
Q. In an arithmetic progression, if the 4th term is 20 and the 7th term is 26, what is the first term?
Show solution
Solution
Let the first term be a and the common difference be d. From the equations a + 3d = 20 and a + 6d = 26, we can solve for a and find it to be 12.
Correct Answer: B — 12
Learn More →
Q. In an arithmetic progression, if the 5th term is 20 and the 10th term is 35, what is the first term?
Show solution
Solution
Let the first term be a and the common difference be d. From the given terms, we have a + 4d = 20 and a + 9d = 35. Solving these gives a = 10.
Correct Answer: B — 10
Learn More →
Q. In an arithmetic progression, if the first term is 12 and the last term is 48, and there are 10 terms, what is the common difference?
Show solution
Solution
Using the formula for the last term, 48 = 12 + (10-1)d. Solving gives d = 4.
Correct Answer: A — 4
Learn More →
Q. In an arithmetic progression, if the first term is 5 and the common difference is 3, what is the 10th term?
Show solution
Solution
The nth term of an AP is given by a + (n-1)d. Here, a = 5, d = 3, and n = 10. So, the 10th term = 5 + (10-1) * 3 = 5 + 27 = 32.
Correct Answer: A — 32
Learn More →
Q. In an arithmetic progression, if the sum of the first 10 terms is 250, what is the first term if the common difference is 5?
Show solution
Solution
Using the formula S_n = n/2 * (2a + (n-1)d), we can substitute n = 10 and d = 5 to find a = 20.
Correct Answer: B — 20
Learn More →
Q. In converting the hexadecimal number 1A to decimal, what is the result?
Show solution
Solution
The hexadecimal number 1A converts to decimal as 1*16^1 + 10*16^0 = 26.
Correct Answer: A — 26
Learn More →
Q. In her latest book, the scientist emphasizes the importance of interdisciplinary approaches, suggesting that true innovation often occurs at the ______ of different fields.
A.
intersection
B.
periphery
C.
foundation
D.
exclusion
Show solution
Solution
The term 'intersection' implies a meeting point of different fields, which aligns with the idea of interdisciplinary approaches.
Correct Answer: A — intersection
Learn More →
Q. In how many different ways can the letters of the word 'MATH' be arranged?
Show solution
Solution
The word 'MATH' has 4 distinct letters. The number of arrangements is 4! = 24.
Correct Answer: B — 24
Learn More →
Q. In how many ways can 3 students be selected from a class of 8 to represent in a competition?
Show solution
Solution
The number of ways to choose 3 students from 8 is given by 8C3 = 56.
Correct Answer: A — 56
Learn More →
Q. In how many ways can 4 different books be arranged on a shelf?
Show solution
Solution
The number of arrangements of 4 different books is 4! = 24.
Correct Answer: B — 24
Learn More →
Q. In how many years will a sum of money triple itself at a compound interest rate of 10% per annum?
A.
10 years
B.
12 years
C.
15 years
D.
20 years
Show solution
Solution
Using the formula A = P(1 + r)^n, we set A = 3P and solve for n, which gives approximately 12 years.
Correct Answer: B — 12 years
Learn More →
Q. In modular arithmetic, what is the multiplicative inverse of 3 modulo 11?
Show solution
Solution
The multiplicative inverse of 3 mod 11 is 4, since (3 * 4) mod 11 = 12 mod 11 = 1.
Correct Answer: B — 7
Learn More →
Q. In modular arithmetic, which of the following is a valid operation?
A.
Adding two numbers and taking mod
B.
Subtracting two numbers and taking mod
C.
Multiplying two numbers and taking mod
D.
All of the above
Show solution
Solution
All operations (addition, subtraction, multiplication) are valid in modular arithmetic.
Correct Answer: D — All of the above
Learn More →
Q. In polynomial long division, what is the first step when dividing 4x^3 + 2x^2 - x by 2x + 1?
A.
Multiply the divisor by the leading term of the dividend.
B.
Subtract the product from the dividend.
C.
Identify the degree of both polynomials.
D.
Write the remainder.
Show solution
Solution
The first step in polynomial long division is to multiply the divisor by the leading term of the dividend.
Correct Answer: A — Multiply the divisor by the leading term of the dividend.
Learn More →
Q. In polynomial long division, what is the first step when dividing 4x^3 + 2x^2 - x by 2x?
A.
Divide the leading term of the dividend by the leading term of the divisor.
B.
Multiply the divisor by the leading term of the dividend.
C.
Subtract the product from the dividend.
D.
Write down the remainder.
Show solution
Solution
The first step in polynomial long division is to divide the leading term of the dividend by the leading term of the divisor.
Correct Answer: A — Divide the leading term of the dividend by the leading term of the divisor.
Learn More →
Q. In probability theory, what does the term 'independent events' mean?
A.
Events that cannot occur at the same time.
B.
Events where the outcome of one does not affect the other.
C.
Events that are mutually exclusive.
D.
Events that have the same probability of occurring.
Show solution
Solution
Independent events are defined as events where the outcome of one does not affect the outcome of the other, a key concept in probability theory.
Correct Answer: B — Events where the outcome of one does not affect the other.
Learn More →
Q. In resource allocation, what does the term 'trade-off' refer to?
A.
The process of allocating resources without any constraints.
B.
The balance between different resource needs and their availability.
C.
The elimination of all costs associated with resource use.
D.
The equal distribution of resources among all stakeholders.
Show solution
Solution
A trade-off in resource allocation refers to the balance between different resource needs and their availability, making option 1 the correct interpretation.
Correct Answer: B — The balance between different resource needs and their availability.
Learn More →
Q. In team formation, what does the term 'role ambiguity' refer to?
A.
Clear definition of tasks
B.
Uncertainty about individual responsibilities
C.
Overlapping roles among team members
D.
A well-structured hierarchy
Show solution
Solution
Role ambiguity refers to uncertainty about individual responsibilities within a team, which can lead to confusion and decreased effectiveness.
Correct Answer: B — Uncertainty about individual responsibilities
Learn More →
Q. In the bar graph depicting the monthly expenses of a household, which month had the highest expenditure?
A.
January
B.
March
C.
June
D.
December
Show solution
Solution
The bar graph shows that December had the highest expenditure among the months.
Correct Answer: D — December
Learn More →
Q. In the bar graph showing the distribution of time spent on various activities, which activity took the least time?
A.
Reading
B.
Exercise
C.
Socializing
D.
Watching TV
Show solution
Solution
The bar graph shows that Exercise took the least time compared to the other activities.
Correct Answer: B — Exercise
Learn More →
Showing 661 to 690 of 1311 (44 Pages)