Engineering Entrance MCQ & Objective Questions
Preparing for Engineering Entrance exams is crucial for aspiring engineers in India. Mastering MCQs and objective questions not only enhances your understanding of key concepts but also boosts your confidence during exams. Regular practice with these questions helps identify important topics and improves your overall exam preparation.
What You Will Practise Here
Fundamental concepts of Physics and Mathematics
Key formulas and their applications in problem-solving
Important definitions and theorems relevant to engineering
Diagrams and graphical representations for better understanding
Conceptual questions that challenge your critical thinking
Previous years' question papers and their analysis
Time management strategies while solving MCQs
Exam Relevance
The Engineering Entrance syllabus is integral to various examinations like CBSE, State Boards, NEET, and JEE. Questions often focus on core subjects such as Physics, Chemistry, and Mathematics, with formats varying from direct MCQs to application-based problems. Understanding the common question patterns can significantly enhance your performance and help you tackle the exams with ease.
Common Mistakes Students Make
Overlooking the importance of units and dimensions in calculations
Misinterpreting questions due to lack of careful reading
Neglecting to review basic concepts before attempting advanced problems
Rushing through practice questions without thorough understanding
FAQs
Question: What are the best ways to prepare for Engineering Entrance MCQs?Answer: Focus on understanding concepts, practice regularly with objective questions, and review previous years' papers.
Question: How can I improve my speed in solving MCQs?Answer: Regular practice, time-bound mock tests, and familiarizing yourself with common question types can help improve your speed.
Start your journey towards success by solving Engineering Entrance MCQ questions today! Test your understanding and build a strong foundation for your exams.
Q. What is the temperature of a gas in Kelvin if its temperature in Celsius is 25°C? (2019)
A.
273 K
B.
298 K
C.
310 K
D.
325 K
Show solution
Solution
Temperature in Kelvin (K) = Temperature in Celsius (°C) + 273.15 = 25 + 273.15 = 298.15 K.
Correct Answer:
B
— 298 K
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Q. What is the term containing x^2 in the expansion of (3x - 4)^6?
A.
-1440
B.
720
C.
-720
D.
1440
Show solution
Solution
The term containing x^2 is given by C(6,2) * (3x)^2 * (-4)^(6-2) = 15 * 9 * 256 = -1440.
Correct Answer:
A
— -1440
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Q. What is the term containing x^2 in the expansion of (x + 4)^6?
A.
240
B.
360
C.
480
D.
600
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Solution
The term containing x^2 is given by C(6,2) * (4)^4 * (x)^2 = 15 * 256 * x^2 = 3840.
Correct Answer:
C
— 480
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Q. What is the term containing x^5 in the expansion of (2x + 3)^6?
A.
540
B.
720
C.
810
D.
900
Show solution
Solution
The term containing x^5 occurs when k = 5. Using the binomial theorem, the term is C(6,5) * (2x)^5 * 3^1 = 6 * 32 * 3 = 576.
Correct Answer:
B
— 720
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Q. What is the term containing x^5 in the expansion of (2x - 3)^8?
A.
-6720
B.
6720
C.
-13440
D.
13440
Show solution
Solution
The term containing x^5 occurs when k = 5. Using the binomial theorem, the term is C(8,5) * (2x)^5 * (-3)^3 = 56 * 32 * (-27) = -48384.
Correct Answer:
A
— -6720
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Q. What is the term for a solution that contains the maximum amount of solute that can dissolve at a given temperature? (2022)
A.
Unsaturated solution
B.
Saturated solution
C.
Supersaturated solution
D.
Concentrated solution
Show solution
Solution
A saturated solution is one that contains the maximum amount of solute that can dissolve at a specific temperature.
Correct Answer:
B
— Saturated solution
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Q. What is the term for the energy required to change a substance from solid to liquid?
A.
Heat of fusion
B.
Heat of vaporization
C.
Sublimation energy
D.
Latent heat
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Solution
The heat of fusion is the energy required to change a substance from solid to liquid.
Correct Answer:
A
— Heat of fusion
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Q. What is the term for the energy required to separate an adsorbate from an adsorbent? (2023)
A.
Adsorption energy
B.
Desorption energy
C.
Activation energy
D.
Bond energy
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Solution
Desorption energy is the energy required to separate an adsorbate from an adsorbent.
Correct Answer:
B
— Desorption energy
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Q. What is the term for the maximum amount of solute that can be adsorbed on a surface? (2021)
A.
Saturation point
B.
Adsorption capacity
C.
Equilibrium constant
D.
Surface tension
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Solution
The maximum amount of solute that can be adsorbed on a surface is referred to as the adsorption capacity.
Correct Answer:
B
— Adsorption capacity
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Q. What is the term for the process where a solid adsorbs a liquid or gas? (2022)
A.
Absorption
B.
Adsorption
C.
Desorption
D.
Sorption
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Solution
Adsorption is the process where a solid attracts and holds molecules of a liquid or gas on its surface.
Correct Answer:
B
— Adsorption
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Q. What is the term independent of x in the expansion of (2x - 3)^8?
A.
-256
B.
256
C.
-512
D.
512
Show solution
Solution
The term independent of x is given by C(8,4) * (2x)^4 * (-3)^4 = 70 * 16 * 81 = -256.
Correct Answer:
A
— -256
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Q. What is the term independent of x in the expansion of (3x - 2)^6?
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Solution
The term independent of x occurs when k = 3. Using the binomial theorem, the term is C(6,3) * (3x)^3 * (-2)^(6-3) = 20 * 27 * -8 = -4320.
Correct Answer:
C
— 40
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Q. What is the term used for the maximum amount of solute that can be adsorbed on a surface? (2023)
A.
Saturation point
B.
Adsorption isotherm
C.
Langmuir constant
D.
Adsorption capacity
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Solution
The term 'adsorption capacity' refers to the maximum amount of solute that can be adsorbed on a surface under specific conditions.
Correct Answer:
D
— Adsorption capacity
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Q. What is the thermal conductivity of a material if a 1 m² area of it conducts 100 J of heat in 10 seconds with a temperature difference of 20°C?
A.
2 W/m°C
B.
5 W/m°C
C.
10 W/m°C
D.
20 W/m°C
Show solution
Solution
Using the formula Q = kA(T1-T2)t, we find k = Q / (A(T1-T2)t) = 100 J / (1 m² * 20°C * 10 s) = 0.5 W/m°C.
Correct Answer:
B
— 5 W/m°C
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Q. What is the time period of a wave with a frequency of 20 Hz? (2022)
A.
0.05 s
B.
0.1 s
C.
0.2 s
D.
0.5 s
Show solution
Solution
The time period T is the reciprocal of frequency, T = 1/f. Thus, T = 1/20 Hz = 0.05 s.
Correct Answer:
B
— 0.1 s
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Q. What is the total current flowing through a circuit with a 9V battery and a total resistance of 3Ω? (2022)
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Solution
Using Ohm's law, I = V/R = 9V / 3Ω = 3A.
Correct Answer:
B
— 2A
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Q. What is the total current in a circuit with a 15V battery and two 5Ω resistors in series? (2023)
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Solution
Total resistance R = 5Ω + 5Ω = 10Ω; I = V/R = 15V / 10Ω = 1.5A.
Correct Answer:
B
— 2A
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Q. What is the total current in a circuit with a voltage of 240V, resistance of 20 ohms, and inductive reactance of 30 ohms? (2022)
A.
8 A
B.
6 A
C.
4 A
D.
10 A
Show solution
Solution
Z = √(R² + Xl²) = √(20² + 30²) = √(400 + 900) = √1300 = 36.06 ohms. I = V/Z = 240/36.06 = 6.66 A.
Correct Answer:
B
— 6 A
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Q. What is the total current in a circuit with two branches, one with 3A and the other with 2A? (2022)
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Solution
In parallel circuits, the total current is the sum of the currents in each branch: I_total = 3A + 2A = 5A.
Correct Answer:
A
— 5A
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Q. What is the total current in a parallel circuit with two branches carrying 3A and 5A? (2020)
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Solution
In a parallel circuit, the total current (I_total) is the sum of the currents in each branch: I_total = 3A + 5A = 8A.
Correct Answer:
A
— 8A
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Q. What is the total current in a parallel circuit with two branches, one with 5A and the other with 3A? (2022)
A.
8A
B.
15A
C.
2.5A
D.
5A
Show solution
Solution
Total current in parallel = I1 + I2 = 5A + 3A = 8A.
Correct Answer:
A
— 8A
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Q. What is the total current in a series circuit with a 10Ω resistor and a 20Ω inductor connected to a 100V AC source at 50Hz? (2023)
Show solution
Solution
Total impedance Z = √(R² + (ωL)²) = √(10² + (2π(50)(20))²). Calculate to find current.
Correct Answer:
B
— 4A
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Q. What is the total mechanical energy of a pendulum at its highest point? (2022)
A.
Maximum potential energy
B.
Maximum kinetic energy
C.
Zero
D.
Constant
Show solution
Solution
At the highest point of a pendulum's swing, all the mechanical energy is potential energy, and kinetic energy is zero.
Correct Answer:
A
— Maximum potential energy
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Q. What is the total mechanical energy of a simple harmonic oscillator at maximum displacement? (2022)
A.
Zero
B.
Maximum
C.
Minimum
D.
Constant
Show solution
Solution
At maximum displacement, the total mechanical energy of a simple harmonic oscillator is at its maximum, as all energy is potential.
Correct Answer:
B
— Maximum
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Q. What is the total mechanical energy of a simple harmonic oscillator with a mass of 1 kg, amplitude of 0.1 m, and spring constant of 100 N/m? (2022)
A.
0.5 J
B.
1 J
C.
2 J
D.
4 J
Show solution
Solution
The total mechanical energy E is given by E = (1/2)kA². Therefore, E = (1/2)(100)(0.1)² = 0.5 J.
Correct Answer:
B
— 1 J
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Q. What is the total mechanical energy of a system at the highest point of a projectile's trajectory?
A.
Maximum potential energy
B.
Maximum kinetic energy
C.
Zero energy
D.
Constant energy
Show solution
Solution
At the highest point of a projectile's trajectory, the kinetic energy is minimum (zero at the peak) and potential energy is maximum, thus total mechanical energy is maximum potential energy.
Correct Answer:
A
— Maximum potential energy
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Q. What is the total number of moles in 2 liters of a 3 M solution? (2022)
A.
3 moles
B.
6 moles
C.
1.5 moles
D.
4 moles
Show solution
Solution
Moles = Molarity * Volume = 3 mol/L * 2 L = 6 moles.
Correct Answer:
B
— 6 moles
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Q. What is the total power consumed in a circuit with two 10Ω resistors in series connected to a 20V source? (2020)
A.
20W
B.
40W
C.
10W
D.
30W
Show solution
Solution
Total resistance R = 10Ω + 10Ω = 20Ω. Power P = V²/R = 20² / 20 = 20W.
Correct Answer:
B
— 40W
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Q. What is the total power consumed in a circuit with two 5Ω resistors in series connected to a 30V battery? (2023)
A.
90W
B.
60W
C.
30W
D.
45W
Show solution
Solution
Total resistance R = 5Ω + 5Ω = 10Ω; Power P = V²/R = 30²/10 = 90W.
Correct Answer:
B
— 60W
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Q. What is the total resistance in a circuit with a 10Ω resistor and a 20Ω resistor in series? (2022)
A.
30Ω
B.
20Ω
C.
10Ω
D.
15Ω
Show solution
Solution
In series, R_eq = R1 + R2 = 10Ω + 20Ω = 30Ω.
Correct Answer:
A
— 30Ω
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