Engineering & Architecture Admissions play a crucial role in shaping the future of aspiring students in India. With the increasing competition in entrance exams, mastering MCQs and objective questions is essential for effective exam preparation. Practicing these types of questions not only enhances concept clarity but also boosts confidence, helping students score better in their exams.
What You Will Practise Here
Key concepts in Engineering Mathematics
Fundamentals of Physics relevant to architecture and engineering
Important definitions and terminologies in engineering disciplines
Essential formulas for solving objective questions
Diagrams and illustrations for better understanding
Conceptual theories related to structural engineering
Analysis of previous years' important questions
Exam Relevance
The topics covered under Engineering & Architecture Admissions are highly relevant for various examinations such as CBSE, State Boards, NEET, and JEE. Students can expect to encounter MCQs that test their understanding of core concepts, application of formulas, and analytical skills. Common question patterns include multiple-choice questions that require selecting the correct answer from given options, as well as assertion-reason type questions that assess deeper comprehension.
Common Mistakes Students Make
Misinterpreting the question stem, leading to incorrect answers.
Overlooking units in numerical problems, which can change the outcome.
Confusing similar concepts or terms, especially in definitions.
Neglecting to review diagrams, which are often crucial for solving problems.
Rushing through practice questions without understanding the underlying concepts.
FAQs
Question: What are the best ways to prepare for Engineering & Architecture Admissions MCQs? Answer: Regular practice of objective questions, reviewing key concepts, and taking mock tests can significantly enhance your preparation.
Question: How can I improve my accuracy in solving MCQs? Answer: Focus on understanding the concepts thoroughly, practice regularly, and learn to eliminate incorrect options to improve accuracy.
Start your journey towards success by solving practice MCQs today! Test your understanding and strengthen your knowledge in Engineering & Architecture Admissions to excel in your exams.
Q. A person is running at 3 m/s on a moving escalator that moves at 2 m/s in the same direction. What is the speed of the person relative to a stationary observer?
A.
1 m/s
B.
3 m/s
C.
5 m/s
D.
2 m/s
Solution
Speed of person relative to observer = Speed of escalator + Speed of person = 2 m/s + 3 m/s = 5 m/s.
Q. A person is running at a speed of 10 m/s. If he is running towards a train moving at 20 m/s in the opposite direction, what is the relative speed of the train with respect to the person?
A.
10 m/s
B.
20 m/s
C.
30 m/s
D.
40 m/s
Solution
Relative speed = speed of train + speed of person = 20 + 10 = 30 m/s.
Q. A person is standing 100 meters away from a building. If the angle of elevation to the top of the building is 45 degrees, what is the height of the building?
A.
100 m
B.
50 m
C.
75 m
D.
25 m
Solution
Using tan(45°) = height/distance, we have height = distance * tan(45°) = 100 * 1 = 100 m.
Q. A person is standing 20 meters away from a vertical cliff. If the angle of elevation to the top of the cliff is 60 degrees, what is the height of the cliff?
A.
10√3 m
B.
20√3 m
C.
30√3 m
D.
40√3 m
Solution
Using tan(60°) = height/20, we have √3 = height/20. Therefore, height = 20√3 m.
Q. A person is standing 25 meters away from a vertical cliff. If the angle of elevation to the top of the cliff is 60 degrees, what is the height of the cliff?
A.
10 m
B.
15 m
C.
20 m
D.
25 m
Solution
Using tan(60°) = height/25, we have √3 = height/25. Therefore, height = 25√3 ≈ 43.3 m.
Q. A person is standing 25 meters away from a vertical pole. If the angle of elevation to the top of the pole is 36.87 degrees, what is the height of the pole?
A.
15 m
B.
20 m
C.
25 m
D.
30 m
Solution
Using tan(36.87°) = height/distance, we have height = distance * tan(36.87°) = 25 * 0.75 = 15 m.
Q. A person is standing 30 m away from the base of a tree. If the angle of elevation to the top of the tree is 60 degrees, what is the height of the tree?
A.
15 m
B.
20 m
C.
25 m
D.
30 m
Solution
Using tan(60°) = height/30, we have √3 = height/30. Therefore, height = 30√3 = 25 m.
Q. A person is standing 30 m away from the foot of a tree. If the angle of elevation to the top of the tree is 60 degrees, what is the height of the tree?
A.
15 m
B.
20 m
C.
25 m
D.
30 m
Solution
Using tan(60°) = height/30, we have √3 = height/30. Therefore, height = 30√3 = 25 m.
Q. A person is standing 30 meters away from the foot of a tree. If the angle of elevation to the top of the tree is 60 degrees, what is the height of the tree?
A.
15√3 m
B.
30 m
C.
30√3 m
D.
45 m
Solution
Using tan(60°) = height/distance, we have height = distance * tan(60°) = 30√3 m.
Q. A person is standing 40 m away from a building. If the angle of elevation to the top of the building is 60 degrees, what is the height of the building?
A.
20√3 m
B.
40 m
C.
30 m
D.
50 m
Solution
Using tan(60°) = height/40, we have √3 = height/40. Therefore, height = 40√3 m.
Q. A person is standing 40 m away from a building. If the angle of elevation to the top of the building is 30 degrees, what is the height of the building?
A.
20 m
B.
40 m
C.
30 m
D.
10 m
Solution
Using tan(30°) = height/distance, we have height = distance * tan(30°) = 40 * (1/√3) ≈ 20 m.
Q. A person is standing 50 m away from a building. If the angle of elevation to the top of the building is 30 degrees, what is the height of the building?
A.
25√3 m
B.
50 m
C.
30 m
D.
40 m
Solution
Using tan(30°) = height/50, we have 1/√3 = height/50. Therefore, height = 50/√3 m.
Q. A person is standing 50 meters away from a vertical pole. If the angle of elevation to the top of the pole is 60 degrees, what is the height of the pole?
A.
25 m
B.
30 m
C.
35 m
D.
40 m
Solution
Using tan(60°) = height/50, we have √3 = height/50. Therefore, height = 50√3 ≈ 86.6 m.
Q. A person is standing 50 meters away from a vertical pole. If the angle of elevation of the top of the pole is 60 degrees, what is the height of the pole?
A.
25 m
B.
30 m
C.
35 m
D.
40 m
Solution
Using tan(60°) = height/50, we have √3 = height/50. Therefore, height = 50√3 ≈ 86.6 m.
Q. A person is standing at a distance of 20 m from a vertical pole. If the angle of elevation to the top of the pole is 45 degrees, what is the height of the pole?
A.
20 m
B.
10 m
C.
30 m
D.
15 m
Solution
Using tan(45°) = height/distance, we have height = distance * tan(45°) = 20 * 1 = 20 m.
Q. A person is standing at a distance of 40 m from a tree. If the angle of elevation to the top of the tree is 60 degrees, what is the height of the tree?
A.
20√3 m
B.
40 m
C.
30 m
D.
10√3 m
Solution
Using tan(60°) = height/distance, we have height = distance * tan(60°) = 40√3 m.
Q. A person is standing at a distance of 40 meters from the base of a building. If the angle of elevation to the top of the building is 60 degrees, what is the height of the building?
A.
20 m
B.
30 m
C.
40 m
D.
50 m
Solution
Using tan(60°) = height/40, we have √3 = height/40. Therefore, height = 40√3 ≈ 69.28 m.
Q. A person is standing on a hill 100 meters high. If he looks at a point on the ground at an angle of depression of 30 degrees, how far is the point from the base of the hill?
Q. A person is standing on a hill 80 m high. The angle of depression to a car on the ground is 60 degrees. How far is the car from the base of the hill?
A.
40 m
B.
80 m
C.
20√3 m
D.
40√3 m
Solution
Using tan(60°) = height/distance, we have distance = height/tan(60°) = 80/√3 = 40√3 m.
Q. A person is standing on a hill that is 80 meters high. If the angle of depression to a point on the ground is 45 degrees, how far is the point from the base of the hill?
A.
80 m
B.
40 m
C.
80√2 m
D.
40√2 m
Solution
Using tan(45°) = height/distance, we have distance = height/tan(45°) = 80/1 = 80 m.
Q. A person is standing on the ground and looking at the top of a building. If the angle of elevation is 45 degrees and the person is 20 meters away from the building, what is the height of the building?
