Engineering Entrance Exam Preparation Resources

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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.

MHT-CET

Q. What is the diameter of a circle with a radius of 9 cm? (2022)

A. 9 cm
B. 18 cm
C. 27 cm
D. 36 cm

Solution

Diameter = 2 * radius = 2 * 9 cm = 18 cm.

Correct Answer: B — 18 cm

Q. What is the diameter of a circle with an area of 50.24 cm²? (2019)

A. 8 cm
B. 10 cm
C. 12 cm
D. 14 cm

Solution

Area = πr²; 50.24 = πr²; r² = 50.24/π; r ≈ 4 cm; Diameter = 2r = 8 cm.

Correct Answer: B — 10 cm

Q. What is the diameter of a circle with an area of 50π square units? (2017)

A. 10 units
B. 5 units
C. 20 units
D. 15 units

Solution

Area = πr²; 50π = πr²; r² = 50; r = √50; Diameter = 2√50 ≈ 10 units.

Correct Answer: A — 10 units

Q. What is the diameter of a circle with an area of 78.5 cm²? (2018)

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

Solution

Area = πr²; 78.5 = πr²; r² = 78.5/π; d = 2√(78.5/π) ≈ 10 cm.

Correct Answer: A — 10 cm

Q. What is the direction of the magnetic field around a straight conductor carrying current? (2023)

A. From north to south
B. Clockwise
C. Counterclockwise
D. Radially outward

Solution

The direction of the magnetic field around a straight conductor carrying current is counterclockwise when viewed from the positive end of the conductor.

Correct Answer: C — Counterclockwise

Q. What is the direction of the magnetic field inside a bar magnet? (2023)

A. From south to north
B. From north to south
C. Circular
D. Random

Solution

The direction of the magnetic field inside a bar magnet is from the north pole to the south pole.

Correct Answer: B — From north to south

Q. What is the discriminant of the equation 3x² - 12x + 12 = 0? (2023)

A. 0
B. 12
C. 36
D. 24

Solution

The discriminant is b² - 4ac = (-12)² - 4*3*12 = 144 - 144 = 0.

Correct Answer: A — 0

Q. What is the discriminant of the equation 3x² - 12x + 9 = 0? (2023)

A. 0
B. 9
C. 12
D. 36

Solution

The discriminant is b² - 4ac = (-12)² - 4*3*9 = 0.

Correct Answer: A — 0

Q. What is the discriminant of the equation 4x² - 12x + 9 = 0? (2019)

A. 0
B. 1
C. 4
D. 9

Solution

The discriminant is b² - 4ac = (-12)² - 4*4*9 = 144 - 144 = 0.

Correct Answer: A — 0

Q. What is the discriminant of the equation x² + 6x + 9 = 0? (2020)

A. 0
B. 6
C. 9
D. 36

Solution

The discriminant is b² - 4ac = 6² - 4*1*9 = 0.

Correct Answer: A — 0

Q. What is the distance between the center of a circle and a point on its circumference if the radius is 12 cm? (2022)

A. 6 cm
B. 12 cm
C. 18 cm
D. 24 cm

Solution

The distance from the center to a point on the circumference is the radius, which is 12 cm.

Correct Answer: B — 12 cm

Q. What is the distance between the center of a circle and a point on its circumference if the radius is 10 cm? (2022)

A. 5 cm
B. 10 cm
C. 15 cm
D. 20 cm

Solution

The distance from the center to a point on the circumference is the radius, which is 10 cm.

Correct Answer: B — 10 cm

Q. What is the distance between the center of a circle and a point on its circumference if the radius is 8 cm? (2023)

A. 8 cm
B. 16 cm
C. 4 cm
D. 0 cm

Solution

The distance from the center to a point on the circumference is the radius, which is 8 cm.

Correct Answer: A — 8 cm

Q. What is the distance between the center of a circle and a point on its circumference if the radius is 15 cm? (2014)

A. 15 cm
B. 30 cm
C. 10 cm
D. 5 cm

Solution

The distance from the center to any point on the circumference is always the radius, which is 15 cm.

Correct Answer: A — 15 cm

Q. What is the distance between the parallel planes 2x + 3y - z = 5 and 2x + 3y - z = 10? (2021)

A. 5/√14
B. 10/√14
C. 15/√14
D. 20/√14

Solution

Distance = |d1 - d2| / √(A² + B² + C²) = |5 - 10| / √(2² + 3² + (-1)²) = 5/√14.

Correct Answer: B — 10/√14

Q. What is the distance between the parallel planes x + 2y + 3z = 4 and x + 2y + 3z = 10? (2023)

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

Solution

Distance = |d1 - d2| / √(a² + b² + c²) = |4 - 10| / √(1² + 2² + 3²) = 6 / √14.

Correct Answer: A — 2

Q. What is the distance between the point (2, 3, 4) and the plane x + y + z = 10? (2022)

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

Solution

Distance = |(2 + 3 + 4 - 10) / √(1² + 1² + 1²)| = |(-1)/√3| = 1/√3.

Correct Answer: A — 1

Q. What is the distance between the points (-1, -1) and (2, 3)? (2022) 2022

A. 5
B. 4
C. 6
D. 7

Solution

Distance = √[(2 - (-1))² + (3 - (-1))²] = √[3² + 4²] = √25 = 5.

Correct Answer: A — 5

Q. What is the distance between the points (-1, -1) and (2, 3)? (2023)

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

Solution

Distance = √[(2 - (-1))² + (3 - (-1))²] = √[3² + 4²] = √25 = 5.

Correct Answer: A — 5

Q. What is the distance between the points (2, 3) and (5, 7)?

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

Solution

Using the distance formula, d = √((5 - 2)² + (7 - 3)²) = √(9 + 16) = √25 = 5.

Correct Answer: A — 5

Q. What is the distance between the points (3, 4) and (7, 1)? (2021) 2021

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

Solution

Distance = √[(7-3)² + (1-4)²] = √[4 + 9] = √13 ≈ 5.

Correct Answer: A — 5

Q. What is the distance between the points A(1, 2, 3) and B(4, 5, 6)? (2023)

A. 3√2
B. 3√3
C. 3
D. √27

Solution

Distance = √[(4-1)² + (5-2)² + (6-3)²] = √[3² + 3² + 3²] = √27 = 3√3.

Correct Answer: A — 3√2

Q. What is the distance from the point (1, 1) to the line x + y = 2? (2023)

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

Solution

Distance = |1 + 1 - 2| / √(1² + 1²) = 0 / √2 = 0.

Correct Answer: A — 1

Q. What is the distance from the point (1, 2) to the line x + y - 3 = 0? (2023)

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

Solution

Distance = |1 + 2 - 3| / √(1² + 1²) = |0| / √2 = 0, closest option is 1.

Correct Answer: B — 2

Q. What is the distance from the point (1, 2) to the line x + y = 5? (2020)

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

Solution

Distance = |1 + 2 - 5| / √(1² + 1²) = | -2 | / √2 = 2/√2 = √2.

Correct Answer: A — 3

Q. What is the distance from the point (2, 3) to the line x + y - 5 = 0? (2022)

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

Solution

Distance = |(1*2 + 1*3 - 5)| / √(1² + 1²) = |5 - 5| / √2 = 0

Correct Answer: A — 1

Q. What is the distance from the point (2, 3) to the line x + y = 5? (2020)

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

Solution

Distance = |(1*2 + 1*3 - 5)| / √(1² + 1²) = |5 - 5| / √2 = 0/√2 = 0

Correct Answer: B — 2

Q. What is the distance from the point (3, 4) to the line x + y = 5? (2022)

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

Solution

Distance = |3 + 4 - 5| / √(1² + 1²) = |2| / √2 = 2/√2 = √2.

Correct Answer: B — 2

Q. What is the dot product of vectors A = 2i + 3j and B = 4i - j? (2022)

A. 5
B. 10
C. 11
D. 14

Solution

A · B = (2)(4) + (3)(-1) = 8 - 3 = 5.

Correct Answer: B — 10

Q. What is the effect of a dielectric material on the capacitance of a capacitor? (2023)

A. It decreases the capacitance
B. It increases the capacitance
C. It has no effect
D. It makes the capacitor discharge

Solution

Inserting a dielectric material increases the capacitance of a capacitor by reducing the electric field within it.

Correct Answer: B — It increases the capacitance

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