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.
Q. What is the formula of the compound formed when magnesium reacts with oxygen?
A.
MgO
B.
Mg2O3
C.
MgO2
D.
Mg3O2
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Solution
Magnesium reacts with oxygen to form magnesium oxide, which has the formula MgO.
Correct Answer:
A
— MgO
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Q. What is the freezing point depression constant (Kf) for water?
A.
1.86 °C kg/mol
B.
0.52 °C kg/mol
C.
2.00 °C kg/mol
D.
3.72 °C kg/mol
Show solution
Solution
The freezing point depression constant (Kf) for water is 1.86 °C kg/mol.
Correct Answer:
A
— 1.86 °C kg/mol
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Q. What is the freezing point depression of a solution containing 2 moles of KCl in 1 kg of water?
A.
-3.72 °C
B.
-1.86 °C
C.
-2.52 °C
D.
-4.0 °C
Show solution
Solution
Freezing point depression = i * Kf * m = 3 * 1.86 * 2 = 11.16 °C, so the freezing point is lowered by 3.72 °C.
Correct Answer:
A
— -3.72 °C
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Q. What is the freezing point depression of a solution containing 2 moles of KCl in 1 kg of water? (Kf for water = 1.86 °C kg/mol)
A.
3.72 °C
B.
1.86 °C
C.
2.0 °C
D.
5.58 °C
Show solution
Solution
Freezing point depression = i * Kf * m = 3 * 1.86 * 2 = 11.16 °C.
Correct Answer:
A
— 3.72 °C
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Q. What is the freezing point depression of a solution containing 2 moles of NaCl in 1 kg of water? (Kf for water = 1.86 °C kg/mol)
A.
3.72 °C
B.
1.86 °C
C.
2.72 °C
D.
5.72 °C
Show solution
Solution
Freezing point depression = i * Kf * m = 3 * 1.86 * 2 = 11.16 °C.
Correct Answer:
A
— 3.72 °C
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Q. What is the freezing point depression of a solution directly proportional to?
A.
The molar mass of the solute
B.
The number of solute particles
C.
The volume of the solvent
D.
The temperature of the solvent
Show solution
Solution
Freezing point depression is directly proportional to the number of solute particles in the solution.
Correct Answer:
B
— The number of solute particles
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Q. What is the freezing point depression of a solution if 0.5 mol of a non-volatile solute is dissolved in 1 kg of water? (Kf for water = 1.86 °C kg/mol)
A.
0.93 °C
B.
1.86 °C
C.
3.72 °C
D.
0.5 °C
Show solution
Solution
Freezing point depression = Kf * molality = 1.86 * 0.5 = 0.93 °C.
Correct Answer:
A
— 0.93 °C
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Q. What is the freezing point of a solution containing 0.3 mol of glucose in 1 kg of water? (K_f for water = 1.86 °C kg/mol)
A.
-0.558 °C
B.
-0.558 K
C.
-1.86 °C
D.
-1.86 K
Show solution
Solution
Freezing point depression = K_f * m = 1.86 * 0.3 = 0.558 °C; Freezing point = 0 - 0.558 = -0.558 °C
Correct Answer:
A
— -0.558 °C
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Q. What is the frequency of a sound wave with a wavelength of 0.5 m in air (speed of sound = 343 m/s)?
A.
686 Hz
B.
343 Hz
C.
171.5 Hz
D.
1500 Hz
Show solution
Solution
Frequency (f) = speed/wavelength = 343 m/s / 0.5 m = 686 Hz.
Correct Answer:
A
— 686 Hz
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Q. What is the frequency of a sound wave with a wavelength of 0.5 m traveling at 340 m/s?
A.
680 Hz
B.
340 Hz
C.
170 Hz
D.
850 Hz
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Solution
Frequency (f) = Speed (v) / Wavelength (λ) = 340 m/s / 0.5 m = 680 Hz.
Correct Answer:
A
— 680 Hz
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Q. What is the frequency of a wave if its period is 0.01 seconds?
A.
100 Hz
B.
10 Hz
C.
1 Hz
D.
0.1 Hz
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Solution
Frequency is the reciprocal of the period. Therefore, frequency = 1/period = 1/0.01 = 100 Hz.
Correct Answer:
A
— 100 Hz
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Q. What is the frequency of a wave if its period is 0.02 seconds?
A.
50 Hz
B.
100 Hz
C.
200 Hz
D.
25 Hz
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Solution
Frequency f is the reciprocal of the period T, given by f = 1/T. Therefore, f = 1/0.02 s = 50 Hz.
Correct Answer:
B
— 100 Hz
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Q. What is the frequency of a wave with a period of 0.01 seconds?
A.
100 Hz
B.
50 Hz
C.
200 Hz
D.
10 Hz
Show solution
Solution
Frequency f is the reciprocal of the period T. Therefore, f = 1/T = 1/0.01 s = 100 Hz.
Correct Answer:
A
— 100 Hz
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Q. What is the frequency of a wave with a wavelength of 2 m traveling at a speed of 340 m/s?
A.
170 Hz
B.
340 Hz
C.
680 Hz
D.
85 Hz
Show solution
Solution
Frequency f = Speed / Wavelength = 340 m/s / 2 m = 170 Hz.
Correct Answer:
A
— 170 Hz
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Q. What is the fringe width in a double-slit experiment if the wavelength of light is 500 nm, the distance between the slits is 0.2 mm, and the distance to the screen is 1 m?
A.
0.5 mm
B.
1 mm
C.
2 mm
D.
0.25 mm
Show solution
Solution
Fringe width β = λD/d = (500 x 10^-9 m)(1 m)/(0.2 x 10^-3 m) = 2.5 mm.
Correct Answer:
A
— 0.5 mm
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Q. What is the function of hemoglobin in the body?
A.
To catalyze reactions
B.
To transport oxygen
C.
To provide structural support
D.
To store energy
Show solution
Solution
Hemoglobin is a protein that functions to transport oxygen from the lungs to tissues throughout the body.
Correct Answer:
B
— To transport oxygen
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Q. What is the functional group of ketones?
A.
-CHO
B.
-CO-
C.
-OH
D.
-NH2
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Solution
The functional group of ketones is -CO-, which is a carbonyl group between two carbon atoms.
Correct Answer:
B
— -CO-
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Q. What is the functional group present in alcohols?
A.
Aldehyde
B.
Ketone
C.
Hydroxyl
D.
Carboxylic acid
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Solution
Alcohols contain a hydroxyl (-OH) functional group.
Correct Answer:
C
— Hydroxyl
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Q. What is the functional group present in carboxylic acids?
A.
Hydroxyl group
B.
Carbonyl group
C.
Carboxyl group
D.
Amino group
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Solution
Carboxylic acids contain the carboxyl group (-COOH), which is the defining feature of this class of compounds.
Correct Answer:
C
— Carboxyl group
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Q. What is the functional group present in ketones?
A.
-CHO
B.
-CO-
C.
-OH
D.
-C=O
Show solution
Solution
Ketones contain the functional group -CO- (carbonyl group) between two carbon atoms.
Correct Answer:
B
— -CO-
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Q. What is the fundamental frequency of a pipe open at both ends if its length is 2 m?
A.
85 Hz
B.
170 Hz
C.
340 Hz
D.
425 Hz
Show solution
Solution
The fundamental frequency is given by f = v/λ. For a pipe open at both ends, λ = 2L = 4 m. Thus, f = 343 m/s / 4 m = 85.75 Hz, approximately 85 Hz.
Correct Answer:
B
— 170 Hz
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Q. What is the fundamental frequency of a pipe open at both ends that is 2 meters long?
A.
85 Hz
B.
170 Hz
C.
340 Hz
D.
425 Hz
Show solution
Solution
The fundamental frequency is given by f = v/λ; for a pipe open at both ends, λ = 2L, so f = v/(2L) = 343/(2*2) = 42.875 Hz.
Correct Answer:
B
— 170 Hz
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Q. What is the general form of the equation for a damped harmonic oscillator?
A.
x(t) = A cos(ωt)
B.
x(t) = A e^(-bt) cos(ωt)
C.
x(t) = A sin(ωt)
D.
x(t) = A e^(bt) cos(ωt)
Show solution
Solution
The equation x(t) = A e^(-bt) cos(ωt) describes the motion of a damped harmonic oscillator.
Correct Answer:
B
— x(t) = A e^(-bt) cos(ωt)
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Q. What is the general form of the equation of motion for a damped harmonic oscillator?
A.
m d²x/dt² + b dx/dt + kx = 0
B.
m d²x/dt² + kx = 0
C.
m d²x/dt² + b dx/dt = 0
D.
m d²x/dt² + b dx/dt + kx = F(t)
Show solution
Solution
The equation of motion for a damped harmonic oscillator includes a damping term and is given by m d²x/dt² + b dx/dt + kx = 0.
Correct Answer:
A
— m d²x/dt² + b dx/dt + kx = 0
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Q. What is the general form of the equation of motion for a damped oscillator?
A.
m d²x/dt² + b dx/dt + kx = 0
B.
m d²x/dt² + kx = 0
C.
m d²x/dt² + b dx/dt = 0
D.
m d²x/dt² + b dx/dt + kx = F(t)
Show solution
Solution
The equation of motion for a damped oscillator includes a damping term (b dx/dt) along with the restoring force (kx).
Correct Answer:
A
— m d²x/dt² + b dx/dt + kx = 0
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Q. What is the general form of the family of curves for the equation x^2 + y^2 = r^2?
A.
Ellipses
B.
Hyperbolas
C.
Circles
D.
Parabolas
Show solution
Solution
The equation x^2 + y^2 = r^2 represents a family of circles with varying radii (r).
Correct Answer:
C
— Circles
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Q. What is the general form of the family of curves represented by the equation x^2 + y^2 = r^2?
A.
Circles with radius r
B.
Ellipses with semi-major axis r
C.
Hyperbolas with transverse axis r
D.
Straight lines with slope r
Show solution
Solution
The equation x^2 + y^2 = r^2 represents a family of circles with radius r centered at the origin.
Correct Answer:
A
— Circles with radius r
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Q. What is the general form of the family of curves represented by the equation y = mx^2 + c?
A.
Parabolas
B.
Circles
C.
Ellipses
D.
Hyperbolas
Show solution
Solution
The equation y = mx^2 + c represents a family of parabolas that open upwards or downwards depending on the sign of m.
Correct Answer:
A
— Parabolas
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Q. What is the general form of the family of curves represented by y^2 = 4ax?
A.
Parabolas opening to the right
B.
Circles with varying centers
C.
Ellipses with varying foci
D.
Hyperbolas with varying asymptotes
Show solution
Solution
The equation y^2 = 4ax represents a family of parabolas that open to the right with varying values of 'a'.
Correct Answer:
A
— Parabolas opening to the right
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Q. What is the general formula for alkanes?
A.
C_nH_(2n)
B.
C_nH_(2n+2)
C.
C_nH_(2n-2)
D.
C_nH_(n)
Show solution
Solution
The general formula for alkanes is C_nH_(2n+2).
Correct Answer:
B
— C_nH_(2n+2)
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