Q. A trader bought 100 shares at $20 each and sold them at $25 each. What is the total profit?
A.
$300
B.
$400
C.
$500
D.
$600
Show solution
Solution
Total Profit = (Selling Price - Cost Price) * Number of Shares = (25 - 20) * 100 = $500
Correct Answer:
C
— $500
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Q. A trader bought two articles for $500 each and sold them for $600 and $400 respectively. What is his overall profit or loss?
A.
$0
B.
$100 profit
C.
$100 loss
D.
$200 profit
Show solution
Solution
Total Cost Price = 500 + 500 = 1000. Total Selling Price = 600 + 400 = 1000. Overall Profit/Loss = 1000 - 1000 = $0.
Correct Answer:
B
— $100 profit
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Q. A trader marks his goods 25% above the cost price. If he sells them at a discount of 10%, what is his profit percentage?
A.
12.5%
B.
15%
C.
10%
D.
20%
Show solution
Solution
Let Cost Price = 100. Marked Price = 125. Selling Price = 90% of 125 = 112.5. Profit = 112.5 - 100 = 12.5. Profit Percentage = (12.5/100) * 100 = 12.5%.
Correct Answer:
A
— 12.5%
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Q. A train and a boat start from the same point and travel in opposite directions. If the train travels at 80 km/h and the boat at 20 km/h, how far apart will they be after 2 hours?
A.
200 km
B.
160 km
C.
140 km
D.
120 km
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Solution
Distance covered by train = 80 km/h * 2 hours = 160 km. Distance covered by boat = 20 km/h * 2 hours = 40 km. Total distance apart = 160 km + 40 km = 200 km.
Correct Answer:
A
— 200 km
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Q. A train covers a distance of 180 km at a speed of 60 km/h. How long does it take?
A.
2 hours
B.
2.5 hours
C.
3 hours
D.
3.5 hours
Show solution
Solution
Time = Distance / Speed = 180 km / 60 km/h = 3 hours.
Correct Answer:
C
— 3 hours
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Q. A train covers a distance of 300 km in 5 hours. What is its speed?
A.
50 km/h
B.
60 km/h
C.
70 km/h
D.
80 km/h
Show solution
Solution
Speed = Distance / Time = 300 km / 5 hours = 60 km/h.
Correct Answer:
B
— 60 km/h
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Q. A train travels 120 km at a speed of 60 km/h. How long does it take to cover this distance?
A.
1 hour
B.
2 hours
C.
3 hours
D.
4 hours
Show solution
Solution
Time = Distance / Speed = 120 km / 60 km/h = 2 hours.
Correct Answer:
B
— 2 hours
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Q. A train travels 150 km in 3 hours. If it increases its speed by 20 km/h, how long will it take to cover the same distance?
A.
1 hour
B.
2 hours
C.
3 hours
D.
4 hours
Show solution
Solution
Original speed = 150 km / 3 hours = 50 km/h. New speed = 50 km/h + 20 km/h = 70 km/h. Time = Distance / Speed = 150 km / 70 km/h = 2.14 hours.
Correct Answer:
A
— 1 hour
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Q. A train travels 180 km at a speed of 60 km/h. How long does it take to complete the journey?
A.
2 hours
B.
3 hours
C.
4 hours
D.
5 hours
Show solution
Solution
Time = Distance / Speed = 180 km / 60 km/h = 3 hours.
Correct Answer:
B
— 3 hours
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Q. A train travels 300 km at a speed of 75 km/h. How long does it take?
A.
3 hours
B.
4 hours
C.
5 hours
D.
6 hours
Show solution
Solution
Time = Distance / Speed = 300 km / 75 km/h = 4 hours.
Correct Answer:
C
— 5 hours
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Q. A trapezoid has bases of 8 m and 5 m, and a height of 4 m. What is its area?
A.
26 m²
B.
30 m²
C.
20 m²
D.
24 m²
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Solution
Area = (base1 + base2) × height / 2 = (8 m + 5 m) × 4 m / 2 = 26 m².
Correct Answer:
A
— 26 m²
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Q. A vehicle travels 150 km in 2.5 hours. What is its average speed?
A.
55 km/h
B.
60 km/h
C.
65 km/h
D.
70 km/h
Show solution
Solution
Average Speed = Total Distance / Total Time = 150 km / 2.5 h = 60 km/h
Correct Answer:
B
— 60 km/h
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Q. A vehicle travels 240 km in 4 hours. What is its speed?
A.
50 km/h
B.
55 km/h
C.
60 km/h
D.
65 km/h
Show solution
Solution
Speed = Distance / Time = 240 km / 4 h = 60 km/h.
Correct Answer:
C
— 60 km/h
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Q. A's income is 20% more than B's income. If B's income is $5000, what is A's income?
A.
$6000
B.
$5500
C.
$5000
D.
$6500
Show solution
Solution
A's income = B's income + 20% of B's income = 5000 + 0.2 * 5000 = 5000 + 1000 = $6000.
Correct Answer:
A
— $6000
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Q. A, B, C, D, and E are sitting in a row. If A is at one end and E is at the other end, who is sitting in the second position?
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Solution
The arrangement is A, B, C, D, E. B is in the second position.
Correct Answer:
B
— C
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Q. According to a pie chart, 50% of a budget is allocated to salaries, 30% to operations, and 20% to marketing. If the total budget is $100,000, how much is allocated to marketing?
A.
$10,000
B.
$15,000
C.
$20,000
D.
$25,000
Show solution
Solution
20% of $100,000 is $20,000 allocated to marketing.
Correct Answer:
C
— $20,000
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Q. According to the bar graph, which month had the highest sales?
A.
January
B.
February
C.
March
D.
April
Show solution
Solution
The bar graph shows that April had the tallest bar, indicating the highest sales.
Correct Answer:
D
— April
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Q. According to the pie chart, what fraction of the total does segment Y represent?
A.
1/4
B.
1/3
C.
1/2
D.
2/3
Show solution
Solution
Segment Y represents 120 degrees in a 360-degree pie chart, which is 1/3 of the total.
Correct Answer:
B
— 1/3
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Q. According to the pie chart, what fraction of total sales did Q3 represent?
A.
1/4
B.
1/3
C.
1/2
D.
1/5
Show solution
Solution
Q3 sales were 150 units out of total 600 units, which is 1/4 of total sales.
Correct Answer:
B
— 1/3
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Q. According to the table, what is the average sales of Product A over the four quarters?
A.
600
B.
700
C.
800
D.
900
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Solution
The sales of Product A are 800, 600, 700, and 900. The average is (800 + 600 + 700 + 900) / 4 = 775.
Correct Answer:
C
— 800
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Q. All cats are mammals. Some mammals are not dogs. Therefore, some cats are not dogs. Is this conclusion valid?
A.
Yes
B.
No
C.
Cannot be determined
D.
Only if all mammals are cats
Show solution
Solution
The conclusion is valid because if all cats are mammals and some mammals are not dogs, it follows that some cats (which are mammals) are not dogs.
Correct Answer:
A
— Yes
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Q. All dogs are animals. Some animals are not pets. Therefore, some dogs are not pets. Is this conclusion valid?
A.
Yes
B.
No
C.
Only if all animals are dogs
D.
Only if some pets are not animals
Show solution
Solution
The conclusion is not valid because while all dogs are animals, it does not imply that some dogs are not pets since all dogs could potentially be pets.
Correct Answer:
B
— No
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Q. All humans are mortal. Socrates is a human. Therefore, Socrates is mortal. Is this conclusion valid?
A.
Yes
B.
No
C.
Only if Socrates is not a god
D.
Only if all humans are mortal
Show solution
Solution
The conclusion is valid because if all humans are mortal and Socrates is a human, it logically follows that Socrates is mortal.
Correct Answer:
A
— Yes
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Q. All squares are rectangles. Some rectangles are not squares. Therefore, some squares are not rectangles. Is this conclusion valid?
A.
Yes
B.
No
C.
Only if all rectangles are squares
D.
Only if some rectangles are not squares
Show solution
Solution
The conclusion is not valid because all squares are indeed rectangles, and the fact that some rectangles are not squares does not affect the status of squares as rectangles.
Correct Answer:
B
— No
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Q. Calculate the volume of a triangular prism with a base area of 10 cm² and a height of 8 cm.
A.
80 cm³
B.
40 cm³
C.
60 cm³
D.
20 cm³
Show solution
Solution
Volume = base area × height = 10 × 8 = 80 cm³.
Correct Answer:
A
— 80 cm³
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Q. Find the HCF of 48, 60, and 72.
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Solution
The HCF of 48, 60, and 72 is 12, as it is the largest number that divides all three.
Correct Answer:
B
— 24
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Q. Find the HCF of 48, 64, and 80.
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Solution
The HCF of 48, 64, and 80 is 16, as it is the largest number that divides all three.
Correct Answer:
B
— 16
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Q. Find the LCM of 6 and 8.
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Solution
The LCM of 6 and 8 is 24, as it is the smallest number that is a multiple of both.
Correct Answer:
A
— 24
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Q. Find the LCM of 9 and 15.
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Solution
The LCM of 9 and 15 is 45, as it is the smallest number that is a multiple of both.
Correct Answer:
A
— 45
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Q. Find the missing number in the sequence: 3, 6, 11, 18, ?, 38.
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Solution
The differences are: 3, 5, 7, 9 (increasing by 2 each time). So, 18 + 9 = 27.
Correct Answer:
B
— 27
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