Engineering & Architecture Admissions - Exam Prep Guide

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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. What is the value of the principal quantum number (n) for the outermost electron in potassium (K)?

A. 3
B. 4
C. 5
D. 2

Solution

Potassium has the electronic configuration [Ar] 4s1, so the outermost electron is in n=4.

Correct Answer: B — 4

Q. What is the value of the principal quantum number for an electron in the ground state of a hydrogen atom?

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

Solution

The ground state of hydrogen corresponds to n=1.

Correct Answer: A — 1

Q. What is the value of the principal quantum number for the outermost electrons in potassium (K)?

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

Solution

Potassium has an atomic number of 19, and its outermost electrons are in the n=4 shell.

Correct Answer: D — 4

Q. What is the value of the principal quantum number for the outermost electrons in a sodium atom?

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

Solution

Sodium has an atomic number of 11, and its outermost electrons are in the n=3 shell.

Correct Answer: C — 3

Q. What is the value of the series 1 + 1/2 + 1/3 + ... + 1/n as n approaches infinity?

A. 0
B. 1
C. ∞
D. undefined

Solution

The series diverges to infinity as n approaches infinity.

Correct Answer: C — ∞

Q. What is the value of the universal gas constant R in J/(mol·K)?

A. 8.314
B. 0.0821
C. 1.987
D. 22.414

Solution

The universal gas constant R is 8.314 J/(mol·K).

Correct Answer: A — 8.314

Q. What is the value of the universal gas constant R in L·atm/(K·mol)?

A. 0.0821
B. 8.314
C. 62.36
D. 1.987

Solution

The universal gas constant R is 0.0821 L·atm/(K·mol).

Correct Answer: A — 0.0821

Q. What is the value of x if 2x + 3 = 11?

A. 2
B. 3
C. 4
D. 5

Solution

Subtract 3 from both sides: 2x = 8. Then divide by 2: x = 4.

Correct Answer: C — 4

Q. What is the value of x if 3x - 5 = 16?

A. 7
B. 5
C. 4
D. 3

Solution

Solving for x: 3x = 21 => x = 7.

Correct Answer: A — 7

Q. What is the value of x in the equation 2x^2 - 8x + 6 = 0?

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

Solution

Using the quadratic formula, x = [8 ± sqrt(64 - 48)] / 4 = [8 ± 4] / 4, giving x = 3 or x = 1.

Correct Answer: C — 3

Q. What is the value of x in the equation 3x - 5 = 7?

A. 4
B. 5
C. 6
D. 3

Solution

Solving for x: 3x = 12, thus x = 4.

Correct Answer: A — 4

Q. What is the value of x in the equation 5(x - 2) = 3x + 4?

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

Solution

Expanding gives 5x - 10 = 3x + 4. Rearranging gives 2x = 14, thus x = 7.

Correct Answer: A — -1

Q. What is the value of x in the equation 5x - 3 = 2x + 12?

A. 3
B. 4
C. 5
D. 6

Solution

Rearranging gives 5x - 2x = 12 + 3 => 3x = 15 => x = 5.

Correct Answer: B — 4

Q. What is the value of x in the equation 5x - 3 = 2x + 6?

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

Solution

Rearranging gives 5x - 2x = 6 + 3 => 3x = 9 => x = 3.

Correct Answer: B — 2

Q. What is the value of z if z^2 = -1?

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

Solution

The solutions to z^2 = -1 are z = i and z = -i.

Correct Answer: A — i

Q. What is the value of \( \begin{vmatrix} 1 & 1 & 1 \\ 1 & 2 & 3 \\ 1 & 3 & 6 \end{vmatrix} \)?

A. 0
B. 1
C. 2
D. 3

Solution

The determinant is 0 because the first column is repeated.

Correct Answer: A — 0

Q. What is the value of \( \tan(\tan^{-1}(3)) \)?

A. 0
B. 1
C. 3
D. undefined

Solution

By definition, \( \tan(\tan^{-1}(x)) = x \). Therefore, \( \tan(\tan^{-1}(3)) = 3 \).

Correct Answer: C — 3

Q. What is the value of |z| if z = -3 + 4i?

A. 5
B. 7
C. 4
D. 3

Solution

|z| = √((-3)^2 + (4)^2) = √(9 + 16) = √25 = 5.

Correct Answer: A — 5

Q. What is the value of |z| if z = 4 - 3i?

A. 5
B. 7
C. 4
D. 3

Solution

|z| = √(4^2 + (-3)^2) = √(16 + 9) = √25 = 5.

Correct Answer: A — 5

Q. What is the value of |z| if z = 4e^(iπ/3)?

A. 4
B. 8
C. 2
D. 1

Solution

The modulus |z| = 4, as it is the coefficient in the polar form.

Correct Answer: A — 4

Q. What is the value of |z|^2 if z = 4 - 3i?

A. 25
B. 16
C. 7
D. 12

Solution

|z|^2 = 4^2 + (-3)^2 = 16 + 9 = 25.

Correct Answer: A — 25

Q. What is the van 't Hoff factor (i) for a strong electrolyte like NaCl in solution?

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

Solution

NaCl dissociates into two ions (Na+ and Cl-), so the van 't Hoff factor (i) is 2.

Correct Answer: B — 2

Q. What is the van 't Hoff factor (i) for a strong electrolyte that completely dissociates into 3 ions?

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

Solution

The van 't Hoff factor (i) is equal to the number of particles the solute dissociates into. For a strong electrolyte that dissociates into 3 ions, i = 3.

Correct Answer: C — 3

Q. What is the van 't Hoff factor (i) for glucose in solution?

A. 1
B. 2
C. 3
D. 0

Solution

The van 't Hoff factor (i) for glucose is 1, as it does not dissociate in solution.

Correct Answer: A — 1

Q. What is the van 't Hoff factor for a non-electrolyte solute?

A. 0
B. 1
C. 2
D. 3

Solution

For a non-electrolyte solute, the van 't Hoff factor (i) is 1, as it does not dissociate into ions.

Correct Answer: B — 1

Q. What is the vapor pressure of a solution containing 0.1 mol of a non-volatile solute in 1 kg of water? (Vapor pressure of pure water = 23.76 mmHg)

A. 22.88 mmHg
B. 21.76 mmHg
C. 20.76 mmHg
D. 19.76 mmHg

Solution

Vapor pressure = P°_solvent * (n_solvent / (n_solvent + n_solute)) = 23.76 * (55.5 / (55.5 + 0.1)) = 22.88 mmHg

Correct Answer: A — 22.88 mmHg

Q. What is the vapor pressure of a solution containing 1 mole of a non-volatile solute in 10 moles of solvent, assuming ideal behavior?

A. 0.1 P0
B. 0.9 P0
C. 1.0 P0
D. 0.5 P0

Solution

Using Raoult's law, the vapor pressure of the solution = (moles of solvent / total moles) * P0 = (10 / 11) * P0 = 0.909 P0.

Correct Answer: B — 0.9 P0

Q. What is the vapor pressure of a solution containing 1 mole of a non-volatile solute in 3 moles of solvent, assuming ideal behavior?

A. 0.25 P0
B. 0.75 P0
C. 1.0 P0
D. 0.5 P0

Solution

Vapor pressure lowering = (moles of solute / total moles) * P0 = (1 / (1 + 3)) * P0 = 0.25 P0, so vapor pressure = P0 - 0.25 P0 = 0.75 P0.

Correct Answer: B — 0.75 P0

Q. What is the vapor pressure of a solution containing 1 mole of a non-volatile solute in 9 moles of solvent, if the vapor pressure of the pure solvent is 100 mmHg?

A. 90 mmHg
B. 100 mmHg
C. 10 mmHg
D. 80 mmHg

Solution

Using Raoult's law, P_solution = X_solvent * P°_solvent = (9/10) * 100 mmHg = 90 mmHg.

Correct Answer: A — 90 mmHg

Q. What is the vapor pressure of a solution containing 1 mole of non-volatile solute in 3 moles of solvent if the vapor pressure of the pure solvent is 100 mmHg?

A. 75 mmHg
B. 100 mmHg
C. 25 mmHg
D. 50 mmHg

Solution

Using Raoult's law, P_solution = X_solvent * P°_solvent. X_solvent = 3/(1+3) = 0.75, so P_solution = 0.75 * 100 mmHg = 75 mmHg.

Correct Answer: A — 75 mmHg

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