Q. A potentiometer wire is made of constantan. What is the advantage of using this material?
A.
High conductivity
B.
Low temperature coefficient
C.
High resistance
D.
Low cost
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Solution
Constantan has a low temperature coefficient, making it stable for accurate measurements.
Correct Answer: B — Low temperature coefficient
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Q. A prize of $1500 is to be divided among three students in the ratio 2:3:5. How much does the student with the largest share receive?
A.
$500
B.
$600
C.
$750
D.
$900
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Solution
Total parts = 2 + 3 + 5 = 10. Largest share = (5/10) * 1500 = $750.
Correct Answer: C — $750
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Q. A prize of $1500 is to be divided among three students in the ratio 2:3:5. How much will the student with the largest share receive?
A.
$500
B.
$600
C.
$750
D.
$900
Show solution
Solution
Total parts = 2 + 3 + 5 = 10. Largest share = (5/10) * 1500 = $750.
Correct Answer: B — $600
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Q. A prize of $3000 is to be divided among 3 winners in the ratio 2:3:5. How much does the second winner receive? (2019)
A.
$600
B.
$900
C.
$1200
D.
$1500
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Solution
Total parts = 2 + 3 + 5 = 10. Second winner's share = (3/10) * 3000 = $900.
Correct Answer: B — $900
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Q. A prize of $3000 is to be divided among 3 winners in the ratio 2:3:5. How much does the winner with the largest share receive? (2019)
A.
$600
B.
$900
C.
$1200
D.
$1500
Show solution
Solution
Total parts = 2 + 3 + 5 = 10. The largest share = (5/10) * 3000 = $1500.
Correct Answer: C — $1200
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Q. A product is bought for $120 and sold for $144. What is the profit percentage?
A.
15%
B.
20%
C.
25%
D.
30%
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Solution
Profit = Selling Price - Cost Price = 144 - 120 = 24. Profit Percentage = (Profit/Cost Price) * 100 = (24/120) * 100 = 20%.
Correct Answer: B — 20%
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Q. A product is bought for $200 and sold for $240. What is the profit percentage?
A.
15%
B.
20%
C.
25%
D.
30%
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Solution
Profit = Selling Price - Cost Price = 240 - 200 = 40. Profit Percentage = (Profit/Cost Price) * 100 = (40/200) * 100 = 20%.
Correct Answer: B — 20%
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Q. A product is bought for $500 and sold for $450. What is the loss percentage? (2023)
A.
10%
B.
15%
C.
20%
D.
25%
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Solution
Loss = Cost Price - Selling Price = 500 - 450 = 50. Loss Percentage = (Loss/Cost Price) * 100 = (50/500) * 100 = 10%.
Correct Answer: C — 20%
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Q. A product is marked at $250 and sold for $200. What is the discount percentage?
A.
15%
B.
20%
C.
25%
D.
30%
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Solution
Discount = Marked Price - Selling Price = 250 - 200 = 50. Discount Percentage = (50/250) * 100 = 20%.
Correct Answer: B — 20%
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Q. A product is marked at $600 and sold at a loss of 10%. What is the selling price?
A.
$540
B.
$550
C.
$560
D.
$570
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Solution
Selling Price = Marked Price - Loss = 600 - (10% of 600) = 600 - 60 = $540.
Correct Answer: A — $540
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Q. A product is sold at a loss of 25%. If the selling price is $75, what was the cost price?
A.
$100
B.
$90
C.
$80
D.
$70
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Solution
Let the cost price be x. Selling Price = x - (25% of x) = 0.75x. Therefore, 0.75x = $75, x = $75 / 0.75 = $100.
Correct Answer: A — $100
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Q. A product is sold at a profit of 25%. If the selling price is $250, what was the cost price?
A.
$200
B.
$180
C.
$220
D.
$240
Show solution
Solution
Let the cost price be x. Selling Price = Cost Price + Profit = x + 0.25x = 1.25x. Setting this equal to $250 gives 1.25x = $250, so x = $250 / 1.25 = $200.
Correct Answer: A — $200
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Q. A product is sold at a profit of 30%. If the selling price is $130, what was the cost price?
A.
$100
B.
$90
C.
$110
D.
$120
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Solution
Let the cost price be x. Selling Price = x + 30% of x = 1.3x. Thus, 1.3x = 130, so x = 100.
Correct Answer: A — $100
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Q. A product is sold for $240 after a discount of 20%. What was the original price?
A.
$300
B.
$280
C.
$250
D.
$260
Show solution
Solution
Let the original price be x. Selling Price = x - (20% of x) = 0.80x. Thus, 0.80x = $240, so x = $240 / 0.80 = $300.
Correct Answer: A — $300
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Q. A product is sold for $300 after a discount of 25%. What was the original price of the product? (2023)
A.
$350
B.
$375
C.
$400
D.
$450
Show solution
Solution
Let the original price be x. Then, Selling Price = x - (25% of x) = 300 => 0.75x = 300 => x = 400.
Correct Answer: C — $400
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Q. A product is sold for $300 after a discount of 30%. What was the original price?
A.
$400
B.
$350
C.
$450
D.
$500
Show solution
Solution
Let the original price be x. After a 30% discount, the selling price is 0.70x. Setting this equal to $300 gives 0.70x = $300, so x = $300 / 0.70 = $428.57, which rounds to $400.
Correct Answer: A — $400
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Q. A product's price is increased by 15% and then decreased by 15%. What is the net effect on the price?
A.
0%
B.
2.25%
C.
3.25%
D.
4.5%
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Solution
Let the original price be $100. After a 15% increase, the price is $115. After a 15% decrease, the price is $115 - (15% of $115) = $115 - $17.25 = $97.75. The net change is ($97.75 - $100) / $100 * 100% = -2.25%.
Correct Answer: B — 2.25%
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Q. A projectile is launched at an angle of 30 degrees with an initial speed of 20 m/s. What is the maximum height reached by the projectile?
A.
5 m
B.
10 m
C.
15 m
D.
20 m
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Solution
Using the formula: h = (u² * sin²θ) / (2g), where u = 20 m/s, θ = 30°, g = 9.8 m/s². h = (20² * (1/4)) / (2 * 9.8) = 5.1 m, approximately 5 m.
Correct Answer: B — 10 m
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Q. A projectile is launched at an angle of 30 degrees with an initial speed of 20 m/s. What is the maximum height it reaches? (2022)
A.
5 m
B.
10 m
C.
15 m
D.
20 m
Show solution
Solution
Using the formula: H = (u² * sin²θ) / (2g). H = (20² * (1/2)) / (2 * 9.8) = 10.2 m, approximately 10 m.
Correct Answer: B — 10 m
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Q. A projectile is launched at an angle of 30 degrees with an initial speed of 20 m/s. What is the maximum height reached? (g = 10 m/s²)
A.
5 m
B.
10 m
C.
15 m
D.
20 m
Show solution
Solution
Maximum height h = (u^2 * sin²θ) / (2g) = (20² * (1/2)²) / (2 * 10) = 5 m.
Correct Answer: B — 10 m
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Q. A projectile is launched at an angle of 30 degrees with an initial speed of 40 m/s. What is the maximum height reached? (g = 10 m/s²)
A.
80 m
B.
60 m
C.
40 m
D.
20 m
Show solution
Solution
Maximum height = (u^2 * sin²θ) / (2g) = (40^2 * (1/2)) / (2 * 10) = 80 m.
Correct Answer: B — 60 m
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Q. A projectile is launched at an angle of 30 degrees with an initial velocity of 20 m/s. What is the maximum height reached by the projectile?
A.
5 m
B.
10 m
C.
15 m
D.
20 m
Show solution
Solution
Maximum height (H) = (u^2 * sin^2(θ)) / (2g) = (20^2 * (1/2)^2) / (2 * 9.8) = 10.2 m.
Correct Answer: B — 10 m
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Q. A projectile is launched at an angle of 30° with an initial speed of 40 m/s. What is the maximum height reached by the projectile?
A.
80 m
B.
60 m
C.
40 m
D.
20 m
Show solution
Solution
Using the formula H = (u² * sin²θ) / (2g), where u = 40 m/s, θ = 30°, and g = 9.8 m/s², we find H = (40² * (1/4)) / (2*9.8) = 40.82 m, approximately 60 m.
Correct Answer: B — 60 m
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Q. A projectile is launched at an angle of 30° with the horizontal with an initial velocity of 40 m/s. What is the horizontal range of the projectile? (Take g = 10 m/s²)
A.
160 m
B.
200 m
C.
80 m
D.
120 m
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Solution
Range R = (u² * sin(2θ))/g = (40² * sin(60°))/10 = (1600 * √3/2)/10 = 80√3 m ≈ 138.56 m.
Correct Answer: B — 200 m
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Q. A projectile is launched with a speed of 30 m/s at an angle of 60 degrees. What is the horizontal component of its velocity?
A.
15 m/s
B.
20 m/s
C.
25 m/s
D.
30 m/s
Show solution
Solution
Horizontal component (v_x) = u * cos(θ) = 30 * 0.5 = 15 m/s.
Correct Answer: B — 20 m/s
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Q. A projectile is launched with a speed of 50 m/s at an angle of 30 degrees. What is the time of flight?
A.
5 s
B.
10 s
C.
15 s
D.
20 s
Show solution
Solution
Time of flight (T) = (2 * u * sin(θ)) / g = (2 * 50 * (√3/2)) / 9.8 ≈ 10.2 s.
Correct Answer: B — 10 s
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Q. A projectile is launched with a speed of 50 m/s at an angle of 30 degrees. What is the horizontal component of the velocity?
A.
25 m/s
B.
35 m/s
C.
43.3 m/s
D.
50 m/s
Show solution
Solution
Horizontal component (u_x) = u * cos(θ) = 50 * (√3/2) = 43.3 m/s.
Correct Answer: C — 43.3 m/s
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Q. A projectile is launched with a speed of 50 m/s at an angle of 60 degrees. What is the horizontal component of its velocity?
A.
25 m/s
B.
50 m/s
C.
43.3 m/s
D.
30 m/s
Show solution
Solution
Horizontal component (v_x) = v * cos(θ) = 50 * 0.5 = 43.3 m/s.
Correct Answer: C — 43.3 m/s
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Q. A projectile is launched with an initial speed of 30 m/s at an angle of 60 degrees. What is the horizontal component of the velocity?
A.
15 m/s
B.
20 m/s
C.
25 m/s
D.
30 m/s
Show solution
Solution
Horizontal component (vx) = u * cos(θ) = 30 * 0.5 = 15 m/s.
Correct Answer: C — 25 m/s
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Q. A projectile is launched with an initial speed of 30 m/s at an angle of 60 degrees. What is the horizontal component of its velocity?
A.
15 m/s
B.
20 m/s
C.
25 m/s
D.
30 m/s
Show solution
Solution
Horizontal component (vx) = u * cos(θ) = 30 * 0.5 = 15 m/s.
Correct Answer: B — 20 m/s
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