Major Competitive Exams
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Q. From the top of a 50 m high building, the angle of depression to a point on the ground is 45 degrees. How far is the point from the base of the building?
Q. From the top of a 50 m high tower, the angle of depression to a point on the ground is 30 degrees. How far is the point from the base of the tower? (2022)
Q. From the top of a 50-meter high building, the angle of depression to a point on the ground is 45 degrees. How far is the point from the base of the building?
Q. From the top of a 60 m high building, the angle of depression to a point on the ground is 30 degrees. How far is the point from the base of the building?
Q. From the top of a 60 m high cliff, the angle of depression to a boat in the sea is 30 degrees. How far is the boat from the base of the cliff?
Q. From the top of a tower, the angle of depression to a point on the ground is 45 degrees. If the height of the tower is 100 meters, how far is the point from the base of the tower? (2020)
Q. Given A = 1i + 1j and B = 1i + 1j, what is A · B?
Q. Given A = 2i + 2j and B = 3i + 3j, what is the scalar product A · B?
Q. Given A = 3i + 4j and B = 0i + 0j, find A · B.
Q. Given that A is sitting next to B and C is sitting next to D, which of the following arrangements is possible?
Q. Given the constraints that task X must be completed before task Y and task Z cannot start until task Y is finished, which of the following is a valid sequence?
Q. Given the constraints that X must be scheduled before Y, and Z must be scheduled after Y, which of the following sequences is correct?
Q. Given the data set 8, 8, 9, 10, 10, 10, 11, 12, what is the mode?
Q. Given the data set: 1, 1, 2, 3, 4, 4, 4, 5, 5, what is the mode?
Q. Given the tasks A, B, C, D, and E, if A and B must be completed before C, and C must be completed before D, which of the following is a possible order of completion?
Q. Given the tasks A, B, C, D, and E, if A and B must be done before C, and C must be done before D, which of the following is an invalid order?
Q. Given the tasks A, B, C, D, and E, if A and B must be done before C, and C must be done before D, which of the following is a possible order?
Q. Given the tasks A, B, C, D, and E, if A and B must be done before C, and C must be done before D, which of the following is an incorrect order?
Q. Given the tasks A, B, C, D, and E, if A and B must be done before C, and C must be done before D, which of the following is a possible order of completion?
Q. Given the tasks P, Q, R, and S, if P must be done before Q and R, and S can be done at any time, which of the following is a possible order of completion?
Q. Given vectors A = (2, -1, 3) and B = (4, 0, -2), find A × B.
Q. Given vectors A = (x, y, z) and B = (1, 2, 3), if A · B = 14, what is the value of x + 2y + 3z?
Q. Given vectors A = 2i + 2j and B = 3i + 4j, what is the value of A · B?
Q. Given vectors A = 4i + 2j and B = -i + 3j, calculate A · B.
Q. Given vectors A = 4i + 3j and B = 1i + 2j, calculate A · B.
Q. Given vectors A = i + 2j + 3k and B = 2i + 3j + 4k, calculate A · B.
Q. Given vectors A = i + 2j + 3k and B = 4i + 5j + 6k, calculate A · B.
Q. Given vectors A = i + 2j + 3k and B = 4i + 5j + 6k, find A · B. (2019)
Q. Given vectors A = i + 2j and B = 3i + 4j, calculate A · B. (2022)
Q. Given vectors P = (4, 0, -3) and Q = (1, 2, 1), find the scalar product P · Q.
