Q. Which of the following lines is parallel to the line 3x - 4y + 5 = 0?
-
A.
6x - 8y + 10 = 0
-
B.
4x + 3y - 7 = 0
-
C.
3x + 4y - 5 = 0
-
D.
2x - 3y + 1 = 0
Solution
Parallel lines have the same slope. The slope of the given line is 3/4, and the line 6x - 8y + 10 = 0 also has the same slope.
Correct Answer:
A
— 6x - 8y + 10 = 0
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Q. Which of the following longitudes is closest to the International Date Line?
-
A.
150°E
-
B.
180°
-
C.
150°W
-
D.
120°W
Solution
The International Date Line is at 180°, so the closest longitude is 180°.
Correct Answer:
B
— 180°
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Q. Which of the following materials has the highest speed of sound?
-
A.
Air
-
B.
Water
-
C.
Steel
-
D.
Wood
Solution
Sound travels fastest in solids; hence, the speed of sound in steel is higher than in air, water, or wood.
Correct Answer:
C
— Steel
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Q. Which of the following materials is the best conductor of sound?
-
A.
Air
-
B.
Water
-
C.
Steel
-
D.
Wood
Solution
Sound travels fastest in solids, and steel is a solid material that conducts sound well.
Correct Answer:
C
— Steel
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Q. Which of the following materials would sound travel fastest through? (2019)
-
A.
Air
-
B.
Water
-
C.
Steel
-
D.
Wood
Solution
Sound travels fastest through solids like steel due to closely packed molecules.
Correct Answer:
C
— Steel
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Q. Which of the following matrices is a diagonal matrix? (2023)
-
A.
[[1, 0], [0, 2]]
-
B.
[[1, 2], [3, 4]]
-
C.
[[0, 1], [1, 0]]
-
D.
[[1, 1], [1, 1]]
Solution
A diagonal matrix is one where all off-diagonal elements are zero. The matrix [[1, 0], [0, 2]] is a diagonal matrix.
Correct Answer:
A
— [[1, 0], [0, 2]]
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Q. Which of the following matrices is a zero matrix? (2022)
-
A.
[[0, 0], [0, 0]]
-
B.
[[1, 0], [0, 1]]
-
C.
[[1, 2], [3, 4]]
-
D.
[[0, 1], [1, 0]]
Solution
A zero matrix is one where all elements are zero. The matrix [[0, 0], [0, 0]] meets this criterion.
Correct Answer:
A
— [[0, 0], [0, 0]]
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Q. Which of the following matrices is an identity matrix? (2023)
-
A.
[[1, 0], [0, 1]]
-
B.
[[0, 1], [1, 0]]
-
C.
[[1, 1], [1, 1]]
-
D.
[[0, 0], [0, 0]]
Solution
An identity matrix has 1s on the diagonal and 0s elsewhere. The matrix [[1, 0], [0, 1]] fits this definition.
Correct Answer:
A
— [[1, 0], [0, 1]]
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Q. Which of the following matrices is an orthogonal matrix? (2021)
-
A.
A matrix whose transpose is equal to its inverse
-
B.
A matrix with all elements equal
-
C.
A matrix with only one row
-
D.
A matrix with all diagonal elements equal
Solution
An orthogonal matrix is defined as a matrix whose transpose is equal to its inverse.
Correct Answer:
A
— A matrix whose transpose is equal to its inverse
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Q. Which of the following matrices is not invertible? (2019)
-
A.
[[1, 2], [3, 4]]
-
B.
[[0, 1], [0, 0]]
-
C.
[[5, 6], [7, 8]]
-
D.
[[9, 10], [11, 12]]
Solution
A matrix is not invertible if its determinant is zero. The matrix [[0, 1], [0, 0]] has a determinant of 0.
Correct Answer:
B
— [[0, 1], [0, 0]]
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Q. Which of the following matrices is symmetric? (2023)
-
A.
A = [[1, 2], [3, 4]]
-
B.
B = [[1, 2], [2, 1]]
-
C.
C = [[1, 0], [0, 1]]
-
D.
D = [[1, 2, 3], [4, 5, 6]]
Solution
A symmetric matrix is one that is equal to its transpose. Matrix B is symmetric because B = B^T.
Correct Answer:
B
— B = [[1, 2], [2, 1]]
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Q. Which of the following metals is known for its resistance to corrosion? (2019)
-
A.
Iron
-
B.
Copper
-
C.
Aluminum
-
D.
Gold
Solution
Gold is highly resistant to corrosion, which is why it is often used in jewelry and electronics.
Correct Answer:
D
— Gold
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Q. Which of the following metals is known to be the least reactive?
-
A.
Gold
-
B.
Sodium
-
C.
Potassium
-
D.
Calcium
Solution
Gold is known to be the least reactive metal, making it resistant to corrosion and oxidation.
Correct Answer:
A
— Gold
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Q. Which of the following metals is known to be the most malleable?
-
A.
Iron
-
B.
Gold
-
C.
Lead
-
D.
Copper
Solution
Gold is known to be the most malleable metal, capable of being drawn into extremely thin sheets.
Correct Answer:
B
— Gold
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Q. Which of the following metals is known to react vigorously with water? (2022)
-
A.
Iron
-
B.
Sodium
-
C.
Copper
-
D.
Lead
Solution
Sodium reacts vigorously with water to produce sodium hydroxide and hydrogen gas.
Correct Answer:
B
— Sodium
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Q. Which of the following metals is known to react with water at room temperature? (2019)
-
A.
Iron
-
B.
Sodium
-
C.
Copper
-
D.
Gold
Solution
Sodium reacts vigorously with water at room temperature, producing sodium hydroxide and hydrogen gas.
Correct Answer:
B
— Sodium
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Q. Which of the following metals is liquid at room temperature? (2023)
-
A.
Mercury
-
B.
Lead
-
C.
Tin
-
D.
Bismuth
Solution
Mercury is the only metal that is liquid at room temperature.
Correct Answer:
A
— Mercury
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Q. Which of the following metals is most reactive? (2019)
-
A.
Gold
-
B.
Silver
-
C.
Sodium
-
D.
Copper
Solution
Sodium is a highly reactive metal, especially with water, compared to the other metals listed.
Correct Answer:
C
— Sodium
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Q. Which of the following metals is the best conductor of electricity?
-
A.
Copper
-
B.
Aluminum
-
C.
Gold
-
D.
Silver
Solution
Silver is the best conductor of electricity among metals due to its high electron mobility.
Correct Answer:
D
— Silver
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Q. Which of the following metals is used in making aircraft due to its lightweight? (2020)
-
A.
Lead
-
B.
Aluminum
-
C.
Iron
-
D.
Copper
Solution
Aluminum is widely used in aircraft manufacturing because of its lightweight and strength.
Correct Answer:
B
— Aluminum
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Q. Which of the following metals is used in making alloys?
-
A.
Mercury
-
B.
Tin
-
C.
Bismuth
-
D.
Lead
Solution
Tin is commonly used in making alloys, such as bronze when combined with copper.
Correct Answer:
B
— Tin
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Q. Which of the following metals is used in making electrical wires?
-
A.
Zinc
-
B.
Copper
-
C.
Aluminum
-
D.
Iron
Solution
Copper is widely used in electrical wiring due to its excellent conductivity.
Correct Answer:
B
— Copper
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Q. Which of the following metals reacts vigorously with water?
-
A.
Copper
-
B.
Sodium
-
C.
Iron
-
D.
Gold
Solution
Sodium reacts vigorously with water to produce sodium hydroxide and hydrogen gas.
Correct Answer:
B
— Sodium
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Q. Which of the following mountain ranges is located in India?
-
A.
Andes
-
B.
Himalayas
-
C.
Rockies
-
D.
Alps
Solution
The Himalayas are the major mountain range located in India.
Correct Answer:
B
— Himalayas
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Q. Which of the following non-metals is a gas at room temperature?
-
A.
Phosphorus
-
B.
Sulfur
-
C.
Chlorine
-
D.
Carbon
Solution
Chlorine is a non-metal that exists as a gas at room temperature.
Correct Answer:
C
— Chlorine
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Q. Which of the following non-metals is a good insulator? (2023)
-
A.
Graphite
-
B.
Sulfur
-
C.
Phosphorus
-
D.
Diamond
Solution
Diamond is a non-metal that is a good insulator due to its strong covalent bonds.
Correct Answer:
D
— Diamond
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Q. Which of the following non-metals is a key component of DNA?
-
A.
Oxygen
-
B.
Nitrogen
-
C.
Carbon
-
D.
Hydrogen
Solution
Nitrogen is a key component of DNA, forming part of the nucleotides that make up the genetic code.
Correct Answer:
B
— Nitrogen
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Q. Which of the following non-metals is used in fertilizers?
-
A.
Nitrogen
-
B.
Oxygen
-
C.
Helium
-
D.
Argon
Solution
Nitrogen is a key component in fertilizers, promoting plant growth.
Correct Answer:
A
— Nitrogen
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Q. Which of the following numbers is a perfect square?
Solution
25 is a perfect square (5^2).
Correct Answer:
C
— 25
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Q. Which of the following points lies on the parabola y = x^2 - 4?
-
A.
(2, 0)
-
B.
(0, -4)
-
C.
(1, -3)
-
D.
(3, 5)
Solution
Substituting x = 1 into the equation gives y = 1^2 - 4 = -3, so the point (1, -3) lies on the parabola.
Correct Answer:
C
— (1, -3)
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