Q. If a student wins an award that is 25% of the total prize pool of $8000, how much is the award?
A.
$2000
B.
$2500
C.
$3000
D.
$3500
Show solution
Solution
Award = 25/100 * 8000 = $2000.
Correct Answer:
A
— $2000
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Q. If a sum of money doubles in 5 years at simple interest, what is the rate of interest per annum?
A.
10%
B.
20%
C.
15%
D.
25%
Show solution
Solution
The formula for simple interest is A = P(1 + rt). If the amount doubles, A = 2P. Therefore, 2P = P(1 + r*5). Simplifying gives r = 0.1 or 10%.
Correct Answer:
A
— 10%
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Q. If a sum of money doubles itself in 5 years at simple interest, what is the rate of interest per annum?
A.
10%
B.
12%
C.
15%
D.
20%
Show solution
Solution
The formula for simple interest is A = P(1 + rt). If the amount doubles, A = 2P. Therefore, 2P = P(1 + r*5). Simplifying gives r = 0.1 or 10%.
Correct Answer:
A
— 10%
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Q. If a sum of money doubles itself in 5 years at simple interest, what will be the rate of interest per annum?
A.
10%
B.
12%
C.
15%
D.
20%
Show solution
Solution
Using the formula for simple interest, SI = PRT, where SI = Principal, R = Rate, and T = Time. If the principal doubles in 5 years, then SI = P. Therefore, P = PRT implies R = 1/5 = 20%. Hence, the rate of interest is 10%.
Correct Answer:
A
— 10%
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Q. If a sum of money doubles itself in 5 years at simple interest, what will be the rate of interest?
A.
10%
B.
12%
C.
15%
D.
20%
Show solution
Solution
Using the formula for simple interest, we know that the interest earned is equal to the principal. Therefore, if the principal doubles in 5 years, the rate of interest can be calculated as (100 * Interest) / (Principal * Time) = (100 * Principal) / (Principal * 5) = 20%. Thus, the rate of interest is 20%.
Correct Answer:
A
— 10%
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Q. If a sum of money is invested at a compound interest rate of 12% per annum, how long will it take for the investment to double?
A.
5 years
B.
6 years
C.
7 years
D.
8 years
Show solution
Solution
Using the rule of 72, we estimate the time to double as 72/12 = 6 years.
Correct Answer:
B
— 6 years
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Q. If a sum of money is invested at a compound interest rate of 6% per annum, how much will it grow in 5 years?
A.
Rs. 1349.86
B.
Rs. 1200
C.
Rs. 1500
D.
Rs. 1600
Show solution
Solution
Using A = P(1 + r)^t, A = 1000(1 + 0.06)^5 = 1000 * 1.338225 = 1338.23.
Correct Answer:
A
— Rs. 1349.86
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Q. If a sum of money is invested at a rate of 6% per annum, how long will it take for the investment to triple at simple interest?
A.
15 years
B.
20 years
C.
25 years
D.
30 years
Show solution
Solution
Using the formula A = P(1 + rt), we have 3P = P(1 + 0.06t). Solving gives t = 20 years.
Correct Answer:
B
— 20 years
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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
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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%
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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
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Q. If a swimmer swims 200 meters in 2 minutes, what is his speed in kilometers per hour? (2021)
A.
6 km/h
B.
5 km/h
C.
4 km/h
D.
3 km/h
Show solution
Solution
Speed = Distance / Time = 200 meters / 120 seconds = 1.67 m/s. To convert to km/h, multiply by 3.6: 1.67 * 3.6 = 6 km/h.
Correct Answer:
A
— 6 km/h
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Q. If a system absorbs 100 J of heat and does 40 J of work, what is the change in internal energy?
A.
60 J
B.
40 J
C.
100 J
D.
140 J
Show solution
Solution
Using the first law of thermodynamics, ΔU = Q - W = 100 J - 40 J = 60 J.
Correct Answer:
A
— 60 J
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Q. If a system absorbs 200 J of heat and does 50 J of work, what is the change in internal energy?
A.
150 J
B.
250 J
C.
200 J
D.
50 J
Show solution
Solution
Using the First Law of Thermodynamics, ΔU = Q - W = 200 J - 50 J = 150 J.
Correct Answer:
A
— 150 J
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Q. If a system does 150 J of work on the surroundings and absorbs 100 J of heat, what is the change in internal energy?
A.
-50 J
B.
50 J
C.
100 J
D.
250 J
Show solution
Solution
Using the first law, ΔU = Q - W = 100 J - 150 J = -50 J.
Correct Answer:
A
— -50 J
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Q. If a tangent and a chord intersect at a point on the circle, what is the relationship between the angle formed and the angle subtended by the chord at the center?
A.
They are equal
B.
They are supplementary
C.
They are complementary
D.
They are unrelated
Show solution
Solution
The angle formed between the tangent and the chord is equal to the angle subtended by the chord at the center of the circle.
Correct Answer:
A
— They are equal
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Q. If a tank can fire 10 rounds per minute, how many rounds can it fire in 15 minutes? (2022)
A.
100 rounds
B.
150 rounds
C.
200 rounds
D.
250 rounds
Show solution
Solution
Total Rounds = Rate × Time = 10 rounds/min × 15 min = 150 rounds
Correct Answer:
C
— 200 rounds
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Q. If a tank can fire 10 shells per minute, how many shells will it fire in 15 minutes? (2022)
A.
100 shells
B.
150 shells
C.
200 shells
D.
250 shells
Show solution
Solution
Total shells = Rate × Time = 10 shells/min × 15 min = 150 shells
Correct Answer:
C
— 200 shells
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Q. If a tank can fire 15 rounds per minute, how many rounds can it fire in 10 minutes? (2021)
A.
100
B.
150
C.
200
D.
250
Show solution
Solution
Total Rounds = Rate × Time = 15 rounds/min × 10 min = 150 rounds
Correct Answer:
B
— 150
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Q. If a tank consumes 10 liters of fuel for every 100 km, how much fuel will it consume for a journey of 250 km? (2021)
A.
15 liters
B.
20 liters
C.
25 liters
D.
30 liters
Show solution
Solution
Fuel Consumption = (Distance / 100 km) × Fuel per 100 km = (250 km / 100 km) × 10 liters = 25 liters
Correct Answer:
C
— 25 liters
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Q. If a tank consumes 2 liters of fuel per kilometer, how much fuel will it consume to travel 100 km? (2023)
A.
150 liters
B.
200 liters
C.
250 liters
D.
300 liters
Show solution
Solution
Fuel Consumption = Distance × Fuel per km = 100 km × 2 liters/km = 200 liters
Correct Answer:
B
— 200 liters
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Q. If a tank uses 1 liter of fuel to travel 5 km, how much fuel will it need to travel 100 km? (2023)
A.
15 liters
B.
20 liters
C.
25 liters
D.
30 liters
Show solution
Solution
Fuel needed = Distance / Distance per liter = 100 km / 5 km/liter = 20 liters
Correct Answer:
B
— 20 liters
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Q. If a tank uses 15 liters of fuel to travel 100 km, how much fuel will it need to travel 250 km? (2023)
A.
30 liters
B.
35 liters
C.
40 liters
D.
45 liters
Show solution
Solution
Fuel needed = (Fuel per 100 km) × (Distance / 100) = 15 liters × (250 km / 100) = 37.5 liters, rounded to 40 liters
Correct Answer:
C
— 40 liters
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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
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Q. If a task takes 4 hours to complete and you start at 1 PM, when will it be finished?
A.
4 PM
B.
5 PM
C.
6 PM
D.
7 PM
Show solution
Solution
Starting at 1 PM and taking 4 hours means the task will finish at 5 PM.
Correct Answer:
B
— 5 PM
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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%
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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
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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
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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
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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
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