Q. What is the largest mammal in the world?
-
A.
Elephant
-
B.
Blue Whale
-
C.
Giraffe
-
D.
Great White Shark
Solution
The Blue Whale is the largest mammal in the world.
Correct Answer:
B
— Blue Whale
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Q. What is the largest organ in the human body? (2020)
-
A.
Heart
-
B.
Liver
-
C.
Skin
-
D.
Lungs
Solution
The largest organ in the human body is the skin.
Correct Answer:
C
— Skin
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Q. What is the largest planet in our solar system? (2023)
-
A.
Earth
-
B.
Mars
-
C.
Jupiter
-
D.
Saturn
Solution
Jupiter is the largest planet in our solar system.
Correct Answer:
C
— Jupiter
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Q. What is the latent heat of fusion for ice?
-
A.
334 J/g
-
B.
2260 J/g
-
C.
4190 J/g
-
D.
1000 J/g
Solution
The latent heat of fusion for ice is approximately 334 J/g.
Correct Answer:
A
— 334 J/g
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Q. What is the latent heat of fusion if 2000 J of energy is required to melt 0.5 kg of ice? (2021)
-
A.
2000 J/kg
-
B.
4000 J/kg
-
C.
1000 J/kg
-
D.
500 J/kg
Solution
Latent heat of fusion (L) = Q / m = 2000 J / 0.5 kg = 4000 J/kg.
Correct Answer:
A
— 2000 J/kg
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Q. What is the latent heat of fusion if 2000 J of heat is required to melt 500 g of ice? (2022)
-
A.
2000 J/kg
-
B.
4000 J/kg
-
C.
1000 J/kg
-
D.
3000 J/kg
Solution
Latent heat of fusion (L) = Q/m = 2000 J / 0.5 kg = 4000 J/kg.
Correct Answer:
A
— 2000 J/kg
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Q. What is the latent heat of fusion if 500 g of ice at 0°C absorbs 334,000 J of heat? (2022)
-
A.
334 J/g
-
B.
668 J/g
-
C.
500 J/g
-
D.
1000 J/g
Solution
Latent heat of fusion (L) = Q / m = 334,000 J / 500 g = 668 J/g.
Correct Answer:
A
— 334 J/g
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Q. What is the latent heat of fusion of ice if 80 calories are required to melt 20 grams of ice? (2020)
-
A.
40 cal/g
-
B.
60 cal/g
-
C.
80 cal/g
-
D.
100 cal/g
Solution
Latent heat of fusion (L_f) = Q / m = 80 cal / 20 g = 4 cal/g.
Correct Answer:
C
— 80 cal/g
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Q. What is the latent heat of fusion of ice if 80 g of ice at 0°C melts to water at 0°C, absorbing 2400 J of heat? (2022)
-
A.
30 J/g
-
B.
40 J/g
-
C.
50 J/g
-
D.
60 J/g
Solution
Latent heat of fusion (L) = Q/m = 2400 J / 80 g = 30 J/g.
Correct Answer:
B
— 40 J/g
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Q. What is the latent heat of fusion of ice if 80 g of ice at 0°C melts to water at 0°C, absorbing 3360 J of heat? (2022)
-
A.
40 J/g
-
B.
60 J/g
-
C.
80 J/g
-
D.
100 J/g
Solution
Latent heat of fusion (L) = Q/m = 3360 J / 80 g = 42 J/g.
Correct Answer:
C
— 80 J/g
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Q. What is the latent heat of fusion?
-
A.
Heat required to change a solid to a liquid
-
B.
Heat required to change a liquid to a gas
-
C.
Heat required to change a gas to a solid
-
D.
Heat required to change a liquid to a solid
Solution
Latent heat of fusion is the heat required to change a solid into a liquid at its melting point.
Correct Answer:
A
— Heat required to change a solid to a liquid
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Q. What is the latent heat of vaporization if 500 g of water at 100°C is converted to steam at the same temperature, absorbing 2260 kJ of heat? (2023)
-
A.
2260 J/g
-
B.
450 J/g
-
C.
334 J/g
-
D.
1000 J/g
Solution
Latent heat of vaporization (L) = Q / m = 2260 kJ / 500 g = 4.52 kJ/g = 2260 J/g.
Correct Answer:
A
— 2260 J/g
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Q. What is the latent heat of vaporization of water if 540 J of energy is required to convert 100 g of water at 100°C to steam? (2021)
-
A.
540 J/g
-
B.
54 J/g
-
C.
5.4 J/g
-
D.
0.54 J/g
Solution
Latent heat of vaporization (L) = Q/m = 540 J / 100 g = 5.4 J/g.
Correct Answer:
A
— 540 J/g
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Q. What is the latitude of the North Pole?
-
A.
0°
-
B.
90°N
-
C.
90°S
-
D.
45°N
Solution
The North Pole is located at 90°N latitude.
Correct Answer:
B
— 90°N
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Q. What is the latus rectum of the parabola given by the equation y^2 = 12x?
Solution
The latus rectum of a parabola y^2 = 4px is given by 4p. Here, 4p = 12, so p = 3, and the latus rectum is 4p = 12.
Correct Answer:
C
— 6
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Q. What is the LCM of 8, 12, and 16?
Solution
The LCM of 8, 12, and 16 is 48, as it is the smallest number that is a multiple of all three.
Correct Answer:
B
— 96
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Q. What is the leading coefficient of the polynomial 7x^4 - 3x^3 + 2x - 1?
Solution
The leading coefficient is the coefficient of the term with the highest degree, which is 7 in this case.
Correct Answer:
A
— 7
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Q. What is the leading coefficient of the polynomial 7x^5 - 2x^3 + 4x - 1?
Solution
The leading coefficient of a polynomial is the coefficient of the term with the highest degree, which is 7 in this case.
Correct Answer:
A
— 7
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Q. What is the leading coefficient of the polynomial p(x) = -5x^4 + 3x^2 - 2?
Solution
The leading coefficient of a polynomial is the coefficient of the term with the highest degree, which in this case is -5.
Correct Answer:
A
— -5
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Q. What is the least common multiple (LCM) of 4 and 5?
Solution
The LCM of 4 and 5 is 20, as it is the smallest number that both 4 and 5 divide evenly into.
Correct Answer:
C
— 20
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Q. What is the least common multiple (LCM) of 4 and 6? (2021)
Solution
LCM of 4 and 6 is 12.
Correct Answer:
A
— 12
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Q. What is the least count of a standard vernier caliper? (2021)
-
A.
0.01 cm
-
B.
0.1 cm
-
C.
1 cm
-
D.
0.001 cm
Solution
The least count of a standard vernier caliper is typically 0.01 cm.
Correct Answer:
A
— 0.01 cm
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Q. What is the least count of a vernier caliper that can measure up to 0.01 cm? (2021)
-
A.
0.1 cm
-
B.
0.01 cm
-
C.
0.001 cm
-
D.
1 cm
Solution
The least count of a vernier caliper is the smallest measurement it can accurately read, which is 0.01 cm in this case.
Correct Answer:
B
— 0.01 cm
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Q. What is the least number that is divisible by both 12 and 15?
Solution
The least common multiple (LCM) of 12 and 15 is 60.
Correct Answer:
A
— 60
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Q. What is the length of a chord that is 6 cm away from the center of a circle with a radius of 10 cm? (2015)
-
A.
8 cm
-
B.
12 cm
-
C.
10 cm
-
D.
6 cm
Solution
Using Pythagoras: (radius)² = (distance from center)² + (half chord)²; 10² = 6² + (half chord)²; half chord = 8 cm, so full chord = 16 cm.
Correct Answer:
A
— 8 cm
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Q. What is the length of a chord that is 6 cm from the center of a circle with a radius of 10 cm? (2019)
-
A.
8 cm
-
B.
12 cm
-
C.
10 cm
-
D.
6 cm
Solution
Using Pythagoras: chord length = 2√(r² - d²) = 2√(10² - 6²) = 2√(100 - 36) = 2√64 = 16 cm.
Correct Answer:
A
— 8 cm
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Q. What is the length of a diameter of a circle with a radius of 7 cm? (2022)
-
A.
14 cm
-
B.
21 cm
-
C.
7 cm
-
D.
28 cm
Solution
Diameter = 2 × radius; Diameter = 2 × 7 cm = 14 cm.
Correct Answer:
A
— 14 cm
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Q. What is the length of an arc of a circle with a radius of 10 cm and a central angle of 60 degrees? (2021) 2021
-
A.
10.47 cm
-
B.
15.71 cm
-
C.
20.94 cm
-
D.
25.13 cm
Solution
Arc length = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 10 = 10.47 cm.
Correct Answer:
A
— 10.47 cm
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Q. What is the length of an arc of a circle with a radius of 10 cm and a central angle of 60 degrees? (2021)
-
A.
10.47 cm
-
B.
12.57 cm
-
C.
15.71 cm
-
D.
20.94 cm
Solution
Arc length = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 10 = 10.47 cm.
Correct Answer:
B
— 12.57 cm
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Q. What is the length of an arc of a circle with a radius of 10 cm and a central angle of 60 degrees? (Use π = 3.14) (2023)
-
A.
10.47 cm
-
B.
15.71 cm
-
C.
20.94 cm
-
D.
25.13 cm
Solution
Arc length = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 10 = 10.47 cm.
Correct Answer:
A
— 10.47 cm
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