Q. What is the area of a circle with a circumference of 31.4 cm? (2020)
-
A.
25 cm²
-
B.
50 cm²
-
C.
75 cm²
-
D.
100 cm²
Solution
Circumference = 2πr; 31.4 = 2πr; r = 5 cm; Area = πr² = 25 cm².
Correct Answer:
A
— 25 cm²
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Q. What is the area of a circle with a diameter of 10 cm? (2023)
-
A.
25π cm²
-
B.
50π cm²
-
C.
75π cm²
-
D.
100π cm²
Solution
Radius = diameter/2 = 10/2 = 5 cm. Area = πr² = π(5)² = 25π cm².
Correct Answer:
A
— 25π cm²
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Q. What is the area of a circle with a diameter of 16 cm? (2023) 2023
-
A.
64π cm²
-
B.
32π cm²
-
C.
16π cm²
-
D.
8π cm²
Solution
Radius = diameter/2 = 16/2 = 8 cm. Area = πr² = π(8)² = 64π cm².
Correct Answer:
A
— 64π cm²
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Q. What is the area of a circle with a diameter of 16 cm? (Use π = 3.14) (2022)
-
A.
201.06 cm²
-
B.
100.48 cm²
-
C.
50.24 cm²
-
D.
25.12 cm²
Solution
Radius = diameter/2 = 16 cm / 2 = 8 cm. Area = πr² = 3.14 * 8² = 201.06 cm².
Correct Answer:
A
— 201.06 cm²
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Q. What is the area of a circle with a radius of 10 m? (2023)
-
A.
314 m²
-
B.
100 m²
-
C.
200 m²
-
D.
150 m²
Solution
Area = πr² = π * 10² = 314 m².
Correct Answer:
A
— 314 m²
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Q. What is the area of a circle with a radius of 3 cm? (2021)
-
A.
28.26 cm²
-
B.
9.42 cm²
-
C.
12.56 cm²
-
D.
18.84 cm²
Solution
Area = πr² = π * 3² = 28.26 cm².
Correct Answer:
C
— 12.56 cm²
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Q. What is the area of a circle with a radius of 3 m? (2020)
-
A.
28.26 m²
-
B.
9.42 m²
-
C.
18.84 m²
-
D.
12.56 m²
Solution
Area = πr²; = π * 3² = 28.26 m².
Correct Answer:
A
— 28.26 m²
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Q. What is the area of a circle with radius 7? (2022)
-
A.
154
-
B.
144
-
C.
160
-
D.
150
Solution
Area = πr^2 = π(7^2) = 49π ≈ 154.
Correct Answer:
A
— 154
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Q. What is the area of a rectangle with vertices at (1, 1), (1, 5), (4, 1), and (4, 5)? (2021)
Solution
Area = length * width = (4-1) * (5-1) = 3 * 4 = 12.
Correct Answer:
A
— 12
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Q. What is the area of a sector of a circle with a radius of 4 cm and a central angle of 90 degrees? (2014)
-
A.
6.28 cm²
-
B.
12.56 cm²
-
C.
3.14 cm²
-
D.
9.42 cm²
Solution
Area of sector = (θ/360) * πr²; = (90/360) * π * 4² = 12.56 cm².
Correct Answer:
B
— 12.56 cm²
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Q. What is the area of a sector of a circle with a radius of 4 cm and an angle of 90 degrees? (2023)
-
A.
4π cm²
-
B.
2π cm²
-
C.
8π cm²
-
D.
6π cm²
Solution
Area of sector = (θ/360) × πr²; = (90/360) × π(4)² = 2π cm².
Correct Answer:
B
— 2π cm²
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Q. What is the area of a sector of a circle with a radius of 7 cm and an angle of 90 degrees? (2022)
-
A.
38.5 cm²
-
B.
12.25 cm²
-
C.
15.4 cm²
-
D.
25.5 cm²
Solution
Area of sector = (θ/360) * πr² = (90/360) * π * 7² = 38.5 cm².
Correct Answer:
A
— 38.5 cm²
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Q. What is the area of a triangle with base 10 cm and height 5 cm? (2021)
-
A.
25 cm²
-
B.
50 cm²
-
C.
15 cm²
-
D.
30 cm²
Solution
Area = 1/2 * base * height = 1/2 * 10 * 5 = 25 cm².
Correct Answer:
A
— 25 cm²
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Q. What is the area of a triangle with vertices at A(0, 0, 0), B(1, 0, 0), and C(0, 1, 0)? (2022)
Solution
Area = 0.5 * base * height = 0.5 * 1 * 1 = 0.5 square units.
Correct Answer:
A
— 0.5
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Q. What is the area of the base of a cone with radius 3? (2023)
Solution
Area of base = πr² = π(3²) = 9π square units.
Correct Answer:
A
— 9π
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Q. What is the area of the base of a cylinder with radius 4 units? (2020)
-
A.
16π
-
B.
8π
-
C.
12π
-
D.
20π
Solution
Area of base = πr² = π(4)² = 16π square units.
Correct Answer:
A
— 16π
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Q. What is the argument of the complex number -1 + 0i? (2021)
Solution
The argument of -1 + 0i is π (180 degrees) since it lies on the negative x-axis.
Correct Answer:
A
— π
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Q. What is the atomic mass of Oxygen approximately? (2019)
-
A.
16 u
-
B.
18 u
-
C.
14 u
-
D.
12 u
Solution
The atomic mass of Oxygen is approximately 16 u.
Correct Answer:
A
— 16 u
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Q. What is the atomic mass of Sodium (Na)? (2021)
-
A.
22.99
-
B.
23.00
-
C.
24.00
-
D.
25.00
Solution
The atomic mass of Sodium (Na) is approximately 22.99 u.
Correct Answer:
A
— 22.99
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Q. What is the atomic number of Carbon? (2021)
Solution
The atomic number of Carbon is 6, which is the number of protons in its nucleus.
Correct Answer:
A
— 6
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Q. What is the atomic number of Oxygen?
Solution
The atomic number of Oxygen is 8.
Correct Answer:
B
— 8
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Q. What is the base unit of temperature in the SI system? (2020)
-
A.
Celsius
-
B.
Fahrenheit
-
C.
Kelvin
-
D.
Rankine
Solution
The base unit of temperature in the SI system is Kelvin (K).
Correct Answer:
C
— Kelvin
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Q. What is the basic unit of proteins? (2023) 2023
-
A.
Monosaccharide
-
B.
Amino acid
-
C.
Nucleotide
-
D.
Fatty acid
Solution
Proteins are made up of amino acids, which are their basic building blocks.
Correct Answer:
B
— Amino acid
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Q. What is the boiling point of water at standard atmospheric pressure?
-
A.
100°C
-
B.
0°C
-
C.
50°C
-
D.
150°C
Solution
The boiling point of water at standard atmospheric pressure is 100°C.
Correct Answer:
A
— 100°C
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Q. What is the boiling point trend among alcohols? (2020) 2020
-
A.
Decreases with molecular weight
-
B.
Increases with molecular weight
-
C.
Remains constant
-
D.
Increases with branching
Solution
The boiling point of alcohols increases with molecular weight due to stronger hydrogen bonding.
Correct Answer:
B
— Increases with molecular weight
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Q. What is the boiling point trend among primary, secondary, and tertiary amines?
-
A.
Primary > Secondary > Tertiary
-
B.
Tertiary > Secondary > Primary
-
C.
Secondary > Primary > Tertiary
-
D.
All have the same boiling point
Solution
Primary amines have higher boiling points than secondary and tertiary amines due to stronger hydrogen bonding.
Correct Answer:
A
— Primary > Secondary > Tertiary
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Q. What is the boiling point trend of alcohols compared to alkanes?
-
A.
Higher
-
B.
Lower
-
C.
Same
-
D.
Varies
Solution
Alcohols have higher boiling points than alkanes due to hydrogen bonding.
Correct Answer:
A
— Higher
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Q. What is the boiling point trend of amines compared to alkanes?
-
A.
Higher
-
B.
Lower
-
C.
Same
-
D.
Varies
Solution
Amines have higher boiling points than alkanes due to hydrogen bonding.
Correct Answer:
A
— Higher
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Q. What is the boiling point trend of carboxylic acids compared to alcohols?
-
A.
Higher
-
B.
Lower
-
C.
Same
-
D.
Depends on molecular weight
Solution
Carboxylic acids have higher boiling points than alcohols due to stronger hydrogen bonding.
Correct Answer:
A
— Higher
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Q. What is the boiling point trend of primary, secondary, and tertiary amines?
-
A.
Primary > Secondary > Tertiary
-
B.
Tertiary > Secondary > Primary
-
C.
Secondary > Primary > Tertiary
-
D.
All have the same boiling point
Solution
Primary amines have higher boiling points due to stronger hydrogen bonding compared to secondary and tertiary amines.
Correct Answer:
A
— Primary > Secondary > Tertiary
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