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Question: If the angle between vectors A = 2i + 3j and B = 4i + 5j is 60 degrees, find A · B.Options..
Question: If A = i + 2j + 3k and B = 4i + 5j + 6k, find A · B.Options: 32302834Correct Answer: 30Sol..
Question: If vectors A = 3i + 4j and B = 2i - j, what is the scalar product A · B?Options: -121011Co..
Question: What is the value of sec(θ) if cos(θ) = 1/3?Options: 31/3√31Correct Answer: 3Solution: sec..
Question: If sin(θ) = 4/5, what is the value of tan(θ)?Options: 3/44/35/45/3Correct Answer: 3/4Solut..
Question: If sin(θ) = 1/√2, what is the value of cos(θ)?Options: 1/√20√2/21Correct Answer: 1/√2Solut..
Question: If cos(θ) = 1/2, what is the value of sin(θ)?Options: √3/21/20√2/2Correct Answer: √3/2Solu..
Question: What are the solutions of the equation sin(2x) = 0?Options: x = nπ/2x = nπx = nπ + π/2x = ..
Question: If the circumradius of triangle ABC is 10 cm and the area is 48 cm², what is the length of..
Question: In triangle ABC, if the coordinates of A, B, and C are (1, 2), (4, 6), and (7, 2) respecti..
Question: A building is 40 m high. From a point on the ground, the angle of elevation to the top of ..
Question: A person is standing at a distance of 20 m from a vertical pole. If the angle of elevation..
Question: A kite is flying at a height of 30 m. If the angle of elevation from a point on the ground..
Question: From a point on the ground, the angle of elevation to the top of a hill is 45 degrees. If ..
Question: A person is standing at a distance of 40 m from a tree. If the angle of elevation to the t..
Question: From the top of a 60 m high building, the angle of depression to a point on the ground is ..
Question: A man is standing 100 meters away from a building. If the angle of elevation to the top of..
Question: A tower is 50 meters high. From a point on the ground, the angle of elevation to the top o..
Question: What does a broad peak in an IR spectrum typically indicate?Options: Strong hydrogen bondi..
Question: Which instrument is commonly used to measure IR spectra?Options: SpectrophotometerChromato..
Question: What type of molecular vibrations are primarily observed in IR spectroscopy?Options: Rotat..
Question: If a student is selected at random from a group of 20 students, 8 of whom are girls, what ..
Question: What is the probability of rolling an even number on a single six-sided die?Options: 1/21/..
Question: In a lottery, there are 10 tickets, of which 3 are winning tickets. What is the probabilit..
Question: In a class of 30 students, 18 are boys and 12 are girls. What is the probability of random..
Question: For the data set 10, 20, 30, 40, 50, what is the mean deviation?Options: 10152025Correct A..
Question: If the data set has a mean of 50 and a variance of 16, what is the standard deviation?Opti..
Question: What is the interquartile range (IQR) of the data set: 1, 2, 3, 4, 5, 6, 7, 8, 9?Options: ..
Question: The range of the data set 1, 3, 5, 7, 9 is:Options: 8642Correct Answer: 8Solution: Range =..
Question: If the scores of a student are 50, 60, 70, 80, and 90, what is the mode?Options: 506070No ..