Q. What is the area of a circle with a radius of 7?
A.
49π
B.
14π
C.
21π
D.
28π
Show solution
Solution
Area = πr² = π(7)² = 49π.
Correct Answer:
A
— 49π
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Q. What is the area of a parallelogram with a base of 10 cm and a height of 5 cm?
A.
30 cm²
B.
50 cm²
C.
40 cm²
D.
20 cm²
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Solution
Area = base × height = 10 cm × 5 cm = 50 cm².
Correct Answer:
B
— 50 cm²
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Q. What is the area of a parallelogram with sides of length 7 m and 4 m, and an included angle of 60 degrees?
A.
14 m²
B.
28 m²
C.
24.5 m²
D.
20 m²
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Solution
Area = a × b × sin(θ) = 7 m × 4 m × sin(60°) = 28 m² × (√3/2) = 24.5 m².
Correct Answer:
C
— 24.5 m²
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Q. What is the area of a quadrilateral with vertices at (0,0), (4,0), (4,3), and (0,3)?
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Solution
The area is length * width = 4 * 3 = 12.
Correct Answer:
A
— 12
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Q. What is the area of a trapezoid with bases of 8 cm and 5 cm, and a height of 4 cm?
A.
26 cm²
B.
20 cm²
C.
30 cm²
D.
24 cm²
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Solution
Area = 1/2 × (base1 + base2) × height = 1/2 × (8 + 5) × 4 = 26 cm².
Correct Answer:
A
— 26 cm²
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Q. What is the area of a triangle with a base of 10 m and a height of 5 m?
A.
25 m²
B.
50 m²
C.
30 m²
D.
20 m²
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Solution
Area = (base × height) / 2 = (10 m × 5 m) / 2 = 25 m².
Correct Answer:
A
— 25 m²
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Q. What is the area of a triangle with vertices at (0,0), (4,0), and (0,3)?
A.
6 m²
B.
12 m²
C.
8 m²
D.
10 m²
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Solution
Area = (1/2) × base × height = (1/2) × 4 × 3 = 6 m².
Correct Answer:
A
— 6 m²
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Q. What is the atomic number of an element?
A.
Number of neutrons
B.
Number of protons
C.
Number of electrons
D.
Sum of protons and neutrons
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Solution
The atomic number is defined as the number of protons in an atom.
Correct Answer:
B
— Number of protons
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Q. What is the basic structural and functional unit of life?
A.
Atom
B.
Molecule
C.
Cell
D.
Tissue
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Solution
The cell is the basic structural and functional unit of life.
Correct Answer:
C
— Cell
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Q. What is the basic unit of life?
A.
Tissue
B.
Organ
C.
Cell
D.
Organism
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Solution
The cell is the basic unit of life.
Correct Answer:
C
— Cell
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Q. What is the binary representation of the decimal number 10?
A.
1010
B.
1001
C.
1100
D.
1110
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Solution
The binary representation of 10 is 1010.
Correct Answer:
A
— 1010
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Q. What is the boiling point of pure water at sea level?
A.
90°C
B.
100°C
C.
110°C
D.
120°C
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Solution
The boiling point of pure water at sea level is 100°C.
Correct Answer:
B
— 100°C
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Q. What is the boiling point of water at sea level in Celsius?
A.
0°C
B.
50°C
C.
100°C
D.
150°C
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Solution
The boiling point of water at sea level is 100°C.
Correct Answer:
C
— 100°C
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Q. What is the charge of a neutron?
A.
Positive
B.
Negative
C.
Neutral
D.
Variable
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Solution
Neutrons have no charge; they are neutral particles found in the nucleus of an atom.
Correct Answer:
C
— Neutral
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Q. What is the charge of a proton?
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Solution
A proton has a positive charge of +1.
Correct Answer:
C
— +1
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Q. What is the decimal equivalent of the binary number 11001?
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Solution
The decimal equivalent of the binary number 11001 is 25.
Correct Answer:
A
— 25
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Q. What is the decimal equivalent of the hexadecimal number 1A?
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Solution
The decimal equivalent of the hexadecimal number 1A is 26.
Correct Answer:
A
— 26
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Q. What is the degree of the polynomial 5x^4 - 3x^3 + 2x - 7?
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Solution
The degree of a polynomial is the highest power of x. Here, the highest power is 4.
Correct Answer:
B
— 4
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Q. What is the distance between the points (3, 4) and (7, 1)?
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Solution
Using the distance formula: d = √((x2 - x1)² + (y2 - y1)²) = √((7 - 3)² + (1 - 4)²) = √(16 + 9) = √25 = 5.
Correct Answer:
A
— 5
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Q. What is the effect of regular physical activity on energy expenditure?
A.
Decreases BMR
B.
Increases BMR
C.
No effect on BMR
D.
Decreases TDEE
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Solution
Regular physical activity increases basal metabolic rate (BMR) and total daily energy expenditure (TDEE) due to increased muscle mass and metabolic activity.
Correct Answer:
B
— Increases BMR
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Q. What is the equation of a circle with center (2, -3) and radius 5?
A.
(x - 2)² + (y + 3)² = 25
B.
(x + 2)² + (y - 3)² = 25
C.
(x - 2)² + (y - 3)² = 25
D.
(x + 2)² + (y + 3)² = 25
Show solution
Solution
Standard form of a circle: (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius. Thus, (x - 2)² + (y + 3)² = 5² = 25.
Correct Answer:
A
— (x - 2)² + (y + 3)² = 25
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Q. What is the equation of the line with a slope of 2 that passes through the point (1, 1)?
A.
y = 2x + 1
B.
y = 2x - 1
C.
y = 2x + 2
D.
y = 2x - 2
Show solution
Solution
Using point-slope form: y - y1 = m(x - x1) => y - 1 = 2(x - 1) => y = 2x - 2 + 1 => y = 2x - 1.
Correct Answer:
A
— y = 2x + 1
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Q. What is the hexadecimal equivalent of the decimal number 255?
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Solution
The hexadecimal equivalent of the decimal number 255 is FF.
Correct Answer:
A
— FF
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Q. What is the jelly-like substance inside the cell called?
A.
Nucleus
B.
Cytoplasm
C.
Cell wall
D.
Chloroplast
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Solution
The jelly-like substance inside the cell is called cytoplasm.
Correct Answer:
B
— Cytoplasm
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Q. What is the lateral surface area of a cylinder with a radius of 2 cm and a height of 10 cm?
A.
40π cm²
B.
20π cm²
C.
30π cm²
D.
50π cm²
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Solution
Lateral surface area of a cylinder = 2π * radius * height = 2π * 2 * 10 = 40π cm².
Correct Answer:
A
— 40π cm²
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Q. What is the length of an arc of a circle with a radius of 5 m and a central angle of 60 degrees?
A.
5π/3 m
B.
5π/6 m
C.
5/3 m
D.
5/6 m
Show solution
Solution
Arc length = (θ/360) * 2πr = (60/360) * 2π(5) = (1/6) * 10π = 5π/6 m.
Correct Answer:
B
— 5π/6 m
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Q. What is the length of the diagonal of a rectangle with length 6 and width 8?
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Solution
Using the Pythagorean theorem: d = √(length² + width²) = √(6² + 8²) = √(36 + 64) = √100 = 10.
Correct Answer:
A
— 10
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Q. What is the length of the hypotenuse of a right triangle with legs of lengths 6 cm and 8 cm?
A.
10 cm
B.
12 cm
C.
14 cm
D.
16 cm
Show solution
Solution
Using the Pythagorean theorem, c² = a² + b². Thus, c² = 6² + 8² = 36 + 64 = 100, so c = √100 = 10 cm.
Correct Answer:
A
— 10 cm
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Q. What is the length of the line segment between the points (-1, -1) and (3, 3)?
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Solution
Using the distance formula: d = √((3 - (-1))² + (3 - (-1))²) = √((4)² + (4)²) = √(16 + 16) = √32 = 4√2.
Correct Answer:
A
— 4√2
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Q. What is the main characteristic of nervous tissue?
A.
Ability to contract
B.
Ability to transmit impulses
C.
Ability to store fat
D.
Ability to provide support
Show solution
Solution
Nervous tissue is characterized by its ability to transmit impulses.
Correct Answer:
B
— Ability to transmit impulses
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