Undergraduate MCQ & Objective Questions
The undergraduate level is a crucial phase in a student's academic journey, especially for those preparing for school and competitive exams. Mastering this stage can significantly enhance your understanding and retention of key concepts. Practicing MCQs and objective questions is essential, as it not only helps in reinforcing knowledge but also boosts your confidence in tackling important questions during exams.
What You Will Practise Here
Fundamental concepts in Mathematics and Science
Key definitions and theories across various subjects
Important formulas and their applications
Diagrams and graphical representations
Critical thinking and problem-solving techniques
Subject-specific MCQs designed for competitive exams
Revision of essential topics for better retention
Exam Relevance
Undergraduate topics are integral to various examinations such as CBSE, State Boards, NEET, and JEE. These subjects often feature a mix of conceptual and application-based questions. Common patterns include multiple-choice questions that assess both theoretical knowledge and practical application, making it vital for students to be well-versed in undergraduate concepts.
Common Mistakes Students Make
Overlooking the importance of understanding concepts rather than rote memorization
Misinterpreting questions due to lack of careful reading
Neglecting to practice numerical problems that require application of formulas
Failing to review mistakes made in previous practice tests
FAQs
Question: What are some effective strategies for solving undergraduate MCQ questions?Answer: Focus on understanding the concepts, practice regularly, and review your answers to learn from mistakes.
Question: How can I improve my speed in answering objective questions?Answer: Time yourself while practicing and gradually increase the number of questions you attempt in a set time.
Start your journey towards mastering undergraduate subjects today! Solve practice MCQs and test your understanding to ensure you are well-prepared for your exams. Your success is just a question away!
Q. If a 6Ω and a 3Ω resistor are connected in parallel, what is the equivalent resistance? (2022)
A.
2Ω
B.
4Ω
C.
1.5Ω
D.
9Ω
Show solution
Solution
Using the formula for parallel resistors: 1/R_eq = 1/R1 + 1/R2 = 1/6 + 1/3 = 1/6 + 2/6 = 3/6. Therefore, R_eq = 2Ω.
Correct Answer:
A
— 2Ω
Learn More →
Q. If a 6Ω resistor is connected in parallel with a 3Ω resistor, what is the equivalent resistance? (2023)
A.
2Ω
B.
1.5Ω
C.
4Ω
D.
9Ω
Show solution
Solution
Using the formula 1/R_eq = 1/R1 + 1/R2, we get 1/R_eq = 1/6 + 1/3 = 1/6 + 2/6 = 3/6, thus R_eq = 2Ω.
Correct Answer:
A
— 2Ω
Learn More →
Q. If a 9V battery is connected to a 3Ω resistor, what is the current flowing through it? (2021)
Show solution
Solution
Using Ohm's law, I = V/R = 9V / 3Ω = 3A.
Correct Answer:
B
— 2A
Learn More →
Q. If a 9V battery is connected to a 3Ω resistor, what is the energy consumed in 10 seconds? (2023)
A.
30J
B.
90J
C.
60J
D.
45J
Show solution
Solution
Power (P) = V²/R = 9²/3 = 27W. Energy (E) = P * t = 27W * 10s = 270J.
Correct Answer:
B
— 90J
Learn More →
Q. If a 9V battery is connected to a 3Ω resistor, what is the power dissipated in the resistor? (2023)
Show solution
Solution
Power (P) can be calculated using P = V²/R = (9V)² / 3Ω = 81 / 3 = 27W.
Correct Answer:
A
— 3W
Learn More →
Q. If a 9V battery is connected to a 3Ω resistor, what is the voltage drop across the resistor? (2023)
Show solution
Solution
The voltage drop across the resistor is equal to the battery voltage, which is 9V.
Correct Answer:
C
— 9V
Learn More →
Q. If a = 2 and b = 3, what is the value of a^3 + b^3? (2021)
Show solution
Solution
a^3 = 2^3 = 8 and b^3 = 3^3 = 27, so 8 + 27 = 35.
Correct Answer:
A
— 35
Learn More →
Q. If A = 2i + 3j and B = 3i + 4j, what is the angle between A and B? (2021)
A.
0 degrees
B.
45 degrees
C.
90 degrees
D.
180 degrees
Show solution
Solution
cos(θ) = (A · B) / (|A||B|) = (2*3 + 3*4) / (√(2^2 + 3^2) * √(3^2 + 4^2)) = 0.7071, θ = 45 degrees.
Correct Answer:
B
— 45 degrees
Learn More →
Q. If a = 3 and b = 4, what is a^2 + b^2? (2017)
Show solution
Solution
a^2 = 9 and b^2 = 16, so 9 + 16 = 25.
Correct Answer:
A
— 25
Learn More →
Q. If a = 3 and b = 4, what is the value of a^2 + b^2? (2019)
Show solution
Solution
a^2 = 9 and b^2 = 16, so 9 + 16 = 25.
Correct Answer:
A
— 25
Learn More →
Q. If A = 3i + 4j and B = 2i - j, what is A + B? (2021)
A.
5i + 3j
B.
5i + 5j
C.
1i + 5j
D.
1i + 3j
Show solution
Solution
A + B = (3i + 4j) + (2i - j) = (3 + 2)i + (4 - 1)j = 5i + 3j.
Correct Answer:
A
— 5i + 3j
Learn More →
Q. If a = 4 and b = 2, what is the value of a^2 + b^2? (2020)
Show solution
Solution
a^2 = 16 and b^2 = 4, so 16 + 4 = 20.
Correct Answer:
A
— 20
Learn More →
Q. If A = 4i + 2j and B = -i + 3j, what is the scalar triple product A · (B × A)? (2023)
Show solution
Solution
B × A = |i j k| |-1 3 0| |4 2 0| = 0, hence A · (B × A) = 0.
Correct Answer:
A
— 0
Learn More →
Q. If A = 5i + 12j, what is the unit vector in the direction of A? (2021)
A.
(5/13)i + (12/13)j
B.
(12/13)i + (5/13)j
C.
(5/12)i + (12/5)j
D.
(12/5)i + (5/12)j
Show solution
Solution
Unit vector = A / |A| = (5i + 12j) / √(5^2 + 12^2) = (5/13)i + (12/13)j.
Correct Answer:
A
— (5/13)i + (12/13)j
Learn More →
Q. If A = i + 2j + 3k and B = 4i + 5j + 6k, what is A - B? (2023)
A.
-3i - 3j - 3k
B.
-3i - 3j + 3k
C.
3i + 3j + 3k
D.
3i + 3j - 3k
Show solution
Solution
A - B = (1 - 4)i + (2 - 5)j + (3 - 6)k = -3i - 3j - 3k.
Correct Answer:
A
— -3i - 3j - 3k
Learn More →
Q. If A = {2, 4, 6} and B = {1, 2, 3}, what is A ∩ B?
A.
{2}
B.
{4, 6}
C.
{1, 2, 3}
D.
{}
Show solution
Solution
The intersection A ∩ B includes elements that are in both A and B. Here, A ∩ B = {2}.
Correct Answer:
A
— {2}
Learn More →
Q. If A = {x | x is a prime number less than 10}, what is A?
A.
{2, 3, 5, 7}
B.
{1, 2, 3, 4}
C.
{2, 4, 6, 8}
D.
{3, 5, 7, 9}
Show solution
Solution
The prime numbers less than 10 are 2, 3, 5, and 7. Therefore, A = {2, 3, 5, 7}.
Correct Answer:
A
— {2, 3, 5, 7}
Learn More →
Q. If A = {x | x is an even number} and B = {x | x is a multiple of 3}, what is A ∪ B?
A.
{0, 2, 4, 6, ...}
B.
{0, 3, 6, 9, ...}
C.
{0, 2, 3, 4, 6, 9, ...}
D.
{0, 1, 2, 3, ...}
Show solution
Solution
The union A ∪ B includes all even numbers and all multiples of 3. Thus, A ∪ B = {0, 2, 3, 4, 6, 9, ...}.
Correct Answer:
C
— {0, 2, 3, 4, 6, 9, ...}
Learn More →
Q. If a bag contains 4 green and 6 yellow marbles, what is the probability of picking a yellow marble?
A.
2/5
B.
3/5
C.
4/5
D.
1/5
Show solution
Solution
Total marbles = 4 + 6 = 10. Probability of yellow = 6/10 = 3/5.
Correct Answer:
B
— 3/5
Learn More →
Q. If a bag contains 4 green and 6 yellow marbles, what is the probability of picking a green marble?
A.
2/5
B.
4/10
C.
4/6
D.
1/3
Show solution
Solution
Total marbles = 4 + 6 = 10. Probability of green marble = 4/10 = 2/5.
Correct Answer:
A
— 2/5
Learn More →
Q. If a body is moving in a circular path with a constant speed, what is its acceleration? (2023)
A.
Zero
B.
Tangential
C.
Centripetal
D.
Radial
Show solution
Solution
The body experiences centripetal acceleration directed towards the center of the circular path.
Correct Answer:
C
— Centripetal
Learn More →
Q. If a body is moving in a circular path with a constant speed, what type of acceleration does it experience?
A.
Centripetal acceleration
B.
Linear acceleration
C.
Angular acceleration
D.
No acceleration
Show solution
Solution
A body moving in a circular path experiences centripetal acceleration directed towards the center of the circle.
Correct Answer:
A
— Centripetal acceleration
Learn More →
Q. If a capacitor is charged to 12V and has a capacitance of 6μF, what is the stored energy? (2022)
A.
0.432 mJ
B.
0.072 mJ
C.
0.864 mJ
D.
0.216 mJ
Show solution
Solution
Energy = 0.5 × C × V² = 0.5 × 6 × 10^-6 × 12² = 0.432 mJ.
Correct Answer:
A
— 0.432 mJ
Learn More →
Q. If a capacitor is charged to a voltage of 10V and has a capacitance of 5μF, what is the charge on the capacitor? (2022)
A.
50μC
B.
100μC
C.
10μC
D.
5μC
Show solution
Solution
Using the formula Q = CV, the charge Q = 5μF * 10V = 50μC.
Correct Answer:
A
— 50μC
Learn More →
Q. If a capacitor is charged to a voltage of 5 V and then disconnected from the battery, what happens to the charge on the capacitor if the voltage is increased to 10 V? (2023)
A.
Charge increases
B.
Charge decreases
C.
Charge remains the same
D.
Charge becomes zero
Show solution
Solution
When the voltage is increased to 10 V, the charge on the capacitor increases because charge (Q) is directly proportional to voltage (V) for a given capacitance.
Correct Answer:
A
— Charge increases
Learn More →
Q. If a car accelerates from rest to a speed of 20 m/s, and its mass is 1000 kg, what is the kinetic energy of the car at that speed? (2020)
A.
200 J
B.
1000 J
C.
2000 J
D.
4000 J
Show solution
Solution
Kinetic Energy = 0.5 × mass × velocity² = 0.5 × 1000 kg × (20 m/s)² = 200000 J = 2000 J
Correct Answer:
C
— 2000 J
Learn More →
Q. If a car accelerates from rest to a speed of 20 m/s, and its mass is 1000 kg, what is the kinetic energy gained by the car? (2021)
A.
200,000 J
B.
100,000 J
C.
50,000 J
D.
400,000 J
Show solution
Solution
Kinetic Energy (KE) = 0.5 × mass (m) × velocity² (v²). KE = 0.5 × 1000 kg × (20 m/s)² = 200,000 J.
Correct Answer:
B
— 100,000 J
Learn More →
Q. If a car accelerates from rest to a speed of 20 m/s, what is the kinetic energy of the car if its mass is 1000 kg?
A.
200,000 J
B.
100,000 J
C.
50,000 J
D.
400,000 J
Show solution
Solution
Kinetic Energy = 0.5 × mass × velocity² = 0.5 × 1000 kg × (20 m/s)² = 200,000 J
Correct Answer:
B
— 100,000 J
Learn More →
Q. If a car travels at a speed of 60 km/h, how far will it travel in 2 hours? (2022)
A.
120 km
B.
100 km
C.
150 km
D.
90 km
Show solution
Solution
Distance = Speed × Time = 60 km/h × 2 h = 120 km.
Correct Answer:
A
— 120 km
Learn More →
Q. If a car with a mass of 1200 kg is moving at a speed of 15 m/s, what is its kinetic energy? (2021)
A.
13500 J
B.
9000 J
C.
18000 J
D.
27000 J
Show solution
Solution
Kinetic Energy = 0.5 × mass × velocity² = 0.5 × 1200 kg × (15 m/s)² = 13500 J
Correct Answer:
A
— 13500 J
Learn More →
Showing 1051 to 1080 of 5514 (184 Pages)
