Q. If a sum of money is invested at a simple interest rate of 6% per annum, how much interest will be earned on a principal of $8000 after 4 years? (1920)
A.
$1920
B.
$2400
C.
$3200
D.
$4800
Show solution
Solution
Using SI = PRT, SI = 8000 * 0.06 * 4 = $1920.
Correct Answer:
B
— $2400
Learn More →
Q. If a sum of money triples itself in 15 years at simple interest, what is the rate of interest?
A.
5%
B.
6.67%
C.
10%
D.
15%
Show solution
Solution
If the sum triples, the interest earned is 2P in 15 years. Thus, 2P = PRT implies R = 2/15 = 13.33%, which is approximately 6.67%.
Correct Answer:
B
— 6.67%
Learn More →
Q. If a sum of Rs. 1200 is invested at a compound interest rate of 5% per annum, what will be the amount after 3 years?
A.
Rs. 1386.25
B.
Rs. 1350
C.
Rs. 1400
D.
Rs. 1300
Show solution
Solution
Using the formula A = P(1 + r)^t, A = 1200(1 + 0.05)^3 = 1200 * 1.157625 = 1389.15.
Correct Answer:
A
— Rs. 1386.25
Learn More →
Q. If a task must be completed by Friday and takes 3 days, starting from Wednesday, which of the following is the latest possible start day?
A.
Monday
B.
Tuesday
C.
Wednesday
D.
Thursday
Show solution
Solution
Thursday is the latest start day as the task will then complete by Saturday, which is not allowed.
Correct Answer:
D
— Thursday
Learn More →
Q. If a team has a win-loss record of 10-5, what is their winning percentage?
A.
66.67%
B.
50%
C.
60%
D.
70%
Show solution
Solution
Winning percentage is calculated as (Wins / Total Games) * 100. Here, Total Games = 10 + 5 = 15, so (10/15) * 100 = 66.67%.
Correct Answer:
A
— 66.67%
Learn More →
Q. If a team is formed with members from different departments, what is a potential challenge they might face?
A.
Increased creativity
B.
Better resource allocation
C.
Miscommunication due to different terminologies
D.
Enhanced team spirit
Show solution
Solution
Members from different departments may use different terminologies, leading to miscommunication.
Correct Answer:
C
— Miscommunication due to different terminologies
Learn More →
Q. If a team is struggling with communication, which of the following strategies would be most effective in improving their performance?
A.
Implementing regular feedback sessions
B.
Increasing the number of team members
C.
Assigning a single leader to make all decisions
D.
Reducing the frequency of meetings
Show solution
Solution
Regular feedback sessions can help identify communication barriers and improve overall team performance.
Correct Answer:
A
— Implementing regular feedback sessions
Learn More →
Q. If a team of 4 is to be selected from 10 players, how many different teams can be formed?
A.
210
B.
120
C.
300
D.
150
Show solution
Solution
The number of ways to choose 4 players from 10 is given by 10C4 = 210.
Correct Answer:
A
— 210
Learn More →
Q. If a team of 4 is to be selected from 8 players, how many different teams can be formed?
Show solution
Solution
The number of ways to choose 4 players from 8 is given by 8C4 = 70.
Correct Answer:
B
— 56
Learn More →
Q. If a team of 5 is to be selected from 10 players, how many different teams can be formed?
A.
252
B.
120
C.
210
D.
300
Show solution
Solution
The number of ways to choose 5 players from 10 is given by 10C5 = 252.
Correct Answer:
A
— 252
Learn More →
Q. If a team scores 2 points for a win and 1 point for a draw, how many points does a team have if they have 4 wins and 3 draws?
Show solution
Solution
Points = (Wins * 2) + (Draws * 1) = (4 * 2) + (3 * 1) = 8 + 3 = 11.
Correct Answer:
A
— 11
Learn More →
Q. If a team scores 3 points for a win, 1 point for a draw, and 0 points for a loss, how many points does a team have if it has 2 wins, 3 draws, and 1 loss?
Show solution
Solution
Points = (2 wins * 3 points) + (3 draws * 1 point) + (1 loss * 0 points) = 6 + 3 + 0 = 9 points.
Correct Answer:
B
— 8
Learn More →
Q. If a team wins 75% of its matches in a league of 20 matches, how many matches did the team win? (2023)
Show solution
Solution
Winning 75% of 20 matches means the team won 0.75 * 20 = 15 matches.
Correct Answer:
A
— 15
Learn More →
Q. If a trader incurs a loss of 15% on selling a bicycle for $255, what was the cost price?
A.
$300
B.
$280
C.
$270
D.
$250
Show solution
Solution
Let the cost price be x. Selling Price = x - 15% of x = 255. Thus, 0.85x = 255, so x = $300.
Correct Answer:
A
— $300
Learn More →
Q. If a triangle has sides of lengths 5 cm, 12 cm, and 13 cm, what type of triangle is it?
A.
Acute
B.
Obtuse
C.
Right
D.
Equilateral
Show solution
Solution
This triangle satisfies the Pythagorean theorem (5² + 12² = 13²), thus it is a right triangle.
Correct Answer:
C
— Right
Learn More →
Q. If a ≡ 2 (mod 3) and b ≡ 1 (mod 3), what is the value of (a * b) mod 3?
Show solution
Solution
a * b ≡ 2 * 1 ≡ 2 (mod 3).
Correct Answer:
B
— 1
Learn More →
Q. If a ≡ 2 (mod 5) and b ≡ 3 (mod 5), what is the value of (a * b) mod 5?
Show solution
Solution
a * b ≡ 2 * 3 ≡ 6 (mod 5), which is equivalent to 1.
Correct Answer:
B
— 1
Learn More →
Q. If a ≡ 3 (mod 7) and b ≡ 5 (mod 7), what is a + b (mod 7)?
Show solution
Solution
a + b ≡ 3 + 5 ≡ 8 ≡ 1 (mod 7).
Correct Answer:
A
— 1
Learn More →
Q. If a ≡ b (mod m) and c ≡ d (mod m), which of the following is necessarily true?
A.
a + c ≡ b + d (mod m)
B.
a * c ≡ b * d (mod m)
C.
a - c ≡ b - d (mod m)
D.
All of the above
Show solution
Solution
All operations (addition, multiplication, and subtraction) preserve congruence in modular arithmetic.
Correct Answer:
D
— All of the above
Learn More →
Q. If a ≡ b (mod m) and c ≡ d (mod m), which of the following is true?
A.
a + c ≡ b + d (mod m)
B.
a - c ≡ b - d (mod m)
C.
a * c ≡ b * d (mod m)
D.
All of the above
Show solution
Solution
All operations (addition, subtraction, multiplication) maintain congruence under modular arithmetic.
Correct Answer:
D
— All of the above
Learn More →
Q. If A, B, C, D, and E are seated in a circle and A is between B and C, who is sitting opposite D?
Show solution
Solution
If A is between B and C, then E must be opposite D.
Correct Answer:
C
— E
Learn More →
Q. If A, B, C, D, and E are seated in a circle and A is not next to B, which of the following statements must be true?
A.
C is next to D
B.
E is next to A
C.
B is next to D
D.
C is not next to E
Show solution
Solution
Since A is not next to B, it is possible for B to be next to D, making this statement true in some arrangements.
Correct Answer:
C
— B is next to D
Learn More →
Q. If A, B, C, D, and E are sitting in a circle and A is to the right of B, who is sitting to the left of D if C is opposite A?
Show solution
Solution
Arranging A, B, C, D, and E, we find that E is to the left of D.
Correct Answer:
B
— E
Learn More →
Q. If A, B, C, D, E, and F are seated in a circle and A is between B and C, who is sitting directly opposite D?
Show solution
Solution
By arranging A, B, and C, we can find the positions of D, E, and F. The person opposite D will be F.
Correct Answer:
B
— F
Learn More →
Q. If all birds can fly and some animals cannot fly, which of the following must be true?
A.
Some animals are not birds.
B.
All animals are birds.
C.
All birds are animals.
D.
Some birds cannot fly.
Show solution
Solution
Since not all animals can fly, it must be true that some animals are not birds, as all birds can fly.
Correct Answer:
A
— Some animals are not birds.
Learn More →
Q. If all birds can fly and some birds are penguins, which of the following statements is true?
A.
Penguins can fly.
B.
Not all birds can fly.
C.
All penguins are birds.
D.
Some birds cannot fly.
Show solution
Solution
The premise contradicts itself, as it states that all birds can fly while also stating that some birds are penguins, which cannot fly.
Correct Answer:
B
— Not all birds can fly.
Learn More →
Q. If all cats are mammals and some mammals are not dogs, which of the following statements must be true?
A.
All cats are dogs.
B.
Some cats are not dogs.
C.
All mammals are cats.
D.
Some dogs are not mammals.
Show solution
Solution
Since not all mammals are dogs, it follows that some cats, being mammals, cannot be dogs.
Correct Answer:
B
— Some cats are not dogs.
Learn More →
Q. If all roses are flowers and some flowers fade quickly, which of the following statements is necessarily true?
A.
Some roses fade quickly.
B.
All flowers are roses.
C.
No roses fade quickly.
D.
Some flowers do not fade quickly.
Show solution
Solution
The statement indicates that while some flowers fade quickly, it does not apply to all, hence some must not.
Correct Answer:
D
— Some flowers do not fade quickly.
Learn More →
Q. If angle A and angle B are supplementary, and angle A is 3 times angle B, what is the measure of angle A?
A.
90 degrees
B.
120 degrees
C.
180 degrees
D.
60 degrees
Show solution
Solution
Let angle B be x. Then angle A = 3x. Since they are supplementary, x + 3x = 180, leading to 4x = 180, so x = 45. Therefore, angle A = 3 * 45 = 135 degrees.
Correct Answer:
B
— 120 degrees
Learn More →
Q. If angle A and angle B are supplementary, and angle A measures 45 degrees, what is the measure of angle B?
A.
135 degrees
B.
45 degrees
C.
90 degrees
D.
180 degrees
Show solution
Solution
Supplementary angles sum up to 180 degrees. Therefore, angle B = 180 - 45 = 135 degrees.
Correct Answer:
A
— 135 degrees
Learn More →
Showing 1321 to 1350 of 5536 (185 Pages)
