Engineering & Architecture Admissions - Exam Prep Guide

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Engineering & Architecture Admissions

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Engineering & Architecture Admissions MCQ & Objective Questions

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.

JEE Main

Q. If A = (1, 2, 3) and B = (x, y, z) such that A · B = 14, find the value of x + y + z.

A. 5
B. 6
C. 7
D. 8

Solution

A · B = 1*x + 2*y + 3*z = 14. If we assume x = 2, y = 4, z = 2, then x + y + z = 8.

Correct Answer: C — 7

Q. If A = (2, 0, -1) and B = (0, 3, 4), what is A · B?

A. -4
B. 0
C. 6
D. 8

Solution

A · B = 2*0 + 0*3 + (-1)*4 = 0 - 4 = -4.

Correct Answer: B — 0

Q. If A = (2, 0, -1) and B = (0, 3, 4), what is the scalar product A · B?

A. -4
B. 0
C. 6
D. 8

Solution

A · B = 2*0 + 0*3 + (-1)*4 = 0 - 4 = -4.

Correct Answer: B — 0

Q. If A = (2, 3) and B = (4, 5), what is the vector AB?

A. (2, 2)
B. (2, 3)
C. (4, 5)
D. (6, 8)

Solution

AB = B - A = (4 - 2, 5 - 3) = (2, 2)

Correct Answer: A — (2, 2)

Q. If A = (2, 3) and B = (4, 7), find the vector AB.

A. (2, 4)
B. (2, 3)
C. (2, 1)
D. (2, 2)

Solution

Vector AB = B - A = (4 - 2, 7 - 3) = (2, 4).

Correct Answer: A — (2, 4)

Q. If A = (2, 3) and B = (k, 1) are such that A · B = 10, find k.

A. 1
B. 2
C. 3
D. 4

Solution

A · B = 2k + 3*1 = 10. Thus, 2k + 3 = 10, leading to 2k = 7, k = 3.5.

Correct Answer: C — 3

Q. If A = (2, 3, 4) and B = (0, 0, 0), what is A · B?

A. 0
B. 2
C. 3
D. 4

Solution

A · B = 2*0 + 3*0 + 4*0 = 0.

Correct Answer: A — 0

Q. If A = (2, 3, 4) and B = (1, 0, -1), find the scalar product A · B.

A. -1
B. 0
C. 1
D. 10

Solution

A · B = 2*1 + 3*0 + 4*(-1) = 2 + 0 - 4 = -2.

Correct Answer: A — -1

Q. If A = (2, 3, 4) and B = (1, 0, -1), find the vector product A × B.

A. (3, 6, -3)
B. (3, 4, -3)
C. (3, -4, 6)
D. (3, -6, 4)

Solution

A × B = |i  j  k|\n|2  3  4|\n|1  0 -1| = (3, 6, -3)

Correct Answer: A — (3, 6, -3)

Q. If A = (2, 3, 4) and B = (1, 0, -1), what is the scalar product A · B?

A. -1
B. 0
C. 2
D. 10

Solution

A · B = 2*1 + 3*0 + 4*(-1) = 2 + 0 - 4 = -2.

Correct Answer: D — 10

Q. If A = (2, 3, 4) and B = (k, 0, -1) are perpendicular, find k.

A. -4
B. -3
C. -2
D. -1

Solution

A · B = 2k + 3*0 + 4*(-1) = 0. Thus, 2k - 4 = 0, k = 2.

Correct Answer: A — -4

Q. If A = (2, 3, 4) and B = (x, y, z) such that A · B = 20, find the value of x + y + z.

A. 5
B. 6
C. 7
D. 8

Solution

A · B = 2x + 3y + 4z = 20. If we assume x = 2, y = 2, z = 2, then 2*2 + 3*2 + 4*2 = 20, thus x + y + z = 6.

Correct Answer: C — 7

Q. If A = (3, -1, 2) and B = (k, 4, -1) are orthogonal, find k.

A. -2
B. 1
C. 2
D. 3

Solution

A · B = 3k - 4 - 2 = 0. Thus, 3k - 6 = 0, k = 2.

Correct Answer: A — -2

Q. If A = (3, -2, 1) and B = (4, 0, -1), what is the value of A · B?

A. -1
B. 0
C. 1
D. 10

Solution

A · B = 3*4 + (-2)*0 + 1*(-1) = 12 + 0 - 1 = 11.

Correct Answer: A — -1

Q. If A = (a, b, c) and B = (1, 2, 3) such that A · B = 0, what is the relation between a, b, and c?

A. a + 2b + 3c = 0
B. a - 2b + 3c = 0
C. a + b + c = 0
D. a - b - c = 0

Solution

A · B = a*1 + b*2 + c*3 = 0. Thus, a + 2b + 3c = 0.

Correct Answer: A — a + 2b + 3c = 0

Q. If A = (a, b, c) and B = (1, 2, 3), and A · B = 14, find a + b + c.

A. 5
B. 6
C. 7
D. 8

Solution

a*1 + b*2 + c*3 = 14. One possible solution is a = 2, b = 4, c = 0, so a + b + c = 6.

Correct Answer: C — 7

Q. If A = (a, b, c) and B = (1, 2, 3), and A · B = 14, what is the equation?

A. a + 2b + 3c = 14
B. a - 2b + 3c = 14
C. a + 2b - 3c = 14
D. a - 2b - 3c = 14

Solution

A · B = a*1 + b*2 + c*3 = 14.

Correct Answer: A — a + 2b + 3c = 14

Q. If A = (a, b, c) and B = (1, 2, 3), find the value of a if A · B = 10.

A. 1
B. 2
C. 3
D. 4

Solution

A · B = a*1 + b*2 + c*3 = 10. If b = 2 and c = 1, then a + 4 + 3 = 10, so a = 3.

Correct Answer: C — 3

Q. If A = (a, b, c) and B = (1, 2, 3), what is the scalar product A · B?

A. a + 2b + 3c
B. a - 2b - 3c
C. a * b * c
D. a^2 + b^2 + c^2

Solution

A · B = a*1 + b*2 + c*3 = a + 2b + 3c.

Correct Answer: A — a + 2b + 3c

Q. If A = (x, y) and B = (y, x), what is the scalar product A · B?

A. x^2 + y^2
B. xy
C. x^2 - y^2
D. 0

Solution

A · B = x*y + y*x = 2xy.

Correct Answer: A — x^2 + y^2

Q. If A = (x, y, z) and B = (1, 1, 1) such that A · B = 6, find x + y + z.

A. 3
B. 6
C. 9
D. 12

Solution

A · B = x + y + z = 6. Thus, x + y + z = 6.

Correct Answer: B — 6

Q. If A = (x, y, z) and B = (1, 1, 1), find the scalar product A · B.

A. x + y + z
B. x - y + z
C. x + y - z
D. x - y - z

Solution

A · B = x*1 + y*1 + z*1 = x + y + z.

Correct Answer: A — x + y + z

Q. If A = (x, y, z) and B = (1, 2, 3), and A · B = 14, find the value of x + y + z.

A. 5
B. 6
C. 7
D. 8

Solution

A · B = x*1 + y*2 + z*3 = 14; Let x + y + z = k; We can find values satisfying this equation.

Correct Answer: C — 7

Q. If A = (x, y, z) and B = (2, 2, 2), and A · B = 12, what is the value of x + y + z?

A. 6
B. 8
C. 10
D. 12

Solution

A · B = 2x + 2y + 2z = 12, thus x + y + z = 6.

Correct Answer: A — 6

Q. If A = (x, y, z) and B = (2, 3, 4), and A · B = 10, find the value of x + y + z.

A. 1
B. 2
C. 3
D. 4

Solution

x*2 + y*3 + z*4 = 10. One possible solution is x = 1, y = 1, z = 1, so x + y + z = 3.

Correct Answer: C — 3

Q. If A = (x, y, z) and B = (2, 3, 4), find the value of x if A · B = 10.

A. 1
B. 2
C. 3
D. 4

Solution

A · B = x*2 + y*3 + z*4 = 10. If y = 0 and z = 0, then x = 5.

Correct Answer: B — 2

Q. If A = 0 and B = 0, what is the output of A AND B?

A. 0
B. 1
C. 2
D. Undefined

Solution

The AND gate outputs 1 only when both inputs are 1. Since both A and B are 0, the output is 0.

Correct Answer: A — 0

Q. If A = 0 and B = 1, what is the output of A AND B?

A. 0
B. 1
C. Undefined
D. Both 0 and 1

Solution

The output of A AND B is 0 when A is 0.

Correct Answer: A — 0

Q. If A = 0 and B = 1, what is the output of the OR gate?

A. 0
B. 1
C. 2
D. Undefined

Solution

An OR gate outputs 1 if at least one input is high. Since B is 1, the output is 1.

Correct Answer: B — 1

Q. If A = 0 and B = 1, what is the output of the XOR gate?

A. 0
B. 1
C. 2
D. Undefined

Solution

The XOR gate outputs 1 when the inputs are different. Since A is 0 and B is 1, the output is 1.

Correct Answer: B — 1

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