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. What is the value of the term containing x^5 in the expansion of (x + 1/2)^8? (2020)
Show solution
Solution
The term containing x^5 is C(8,5)(1/2)^3 = 56 * 1/8 = 7.
Correct Answer:
B
— 56
Learn More →
Q. What is the value of the term containing x^5 in the expansion of (x + 2)^8? (2020)
A.
112
B.
128
C.
256
D.
64
Show solution
Solution
The term containing x^5 is C(8,5)(2)^3 = 56 * 8 = 448.
Correct Answer:
B
— 128
Learn More →
Q. What is the value of x where f(x) = x^3 - 3x has a local maximum? (2022)
Show solution
Solution
f'(x) = 3x^2 - 3. Setting f'(x) = 0 gives x = ±1. f(1) = -2.
Correct Answer:
C
— 1
Learn More →
Q. What is the value of \( \begin{vmatrix} 2 & 1 \\ 3 & 4 \end{vmatrix} \)? (2022)
Show solution
Solution
The determinant is calculated as \( 2*4 - 1*3 = 8 - 3 = 5 \).
Correct Answer:
A
— 5
Learn More →
Q. What is the value of \( |D| \) for the matrix \( D = \begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix} \)? (2023)
Show solution
Solution
The determinant is \( 0*0 - 1*1 = 0 - 1 = -1 \).
Correct Answer:
A
— 1
Learn More →
Q. What is the value of \( |H| \) for \( H = \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix} \)? (2021)
Show solution
Solution
The determinant of the identity matrix is always 1.
Correct Answer:
B
— 1
Learn More →
Q. What is the van 't Hoff factor (i) for a non-electrolyte solute? (2023)
Show solution
Solution
The van 't Hoff factor (i) for a non-electrolyte solute is 1, as it does not dissociate into ions.
Correct Answer:
A
— 1
Learn More →
Q. What is the van 't Hoff factor (i) for a solution of glucose (C6H12O6)? (2023)
Show solution
Solution
Glucose does not dissociate in solution, so the van 't Hoff factor (i) = 1.
Correct Answer:
A
— 1
Learn More →
Q. What is the van 't Hoff factor (i) for a strong electrolyte like Na2SO4 in solution? (2023)
Show solution
Solution
Na2SO4 dissociates into 3 ions (2 Na⁺ and 1 SO4²⁻), so i = 3.
Correct Answer:
C
— 3
Learn More →
Q. What is the vapor pressure of a solution containing 1 mole of solute in 10 moles of solvent, assuming ideal behavior? (2019)
A.
0.1 P0
B.
0.9 P0
C.
0.5 P0
D.
0.2 P0
Show solution
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
Learn More →
Q. What is the vapor pressure of a solution containing 1 mole of solute in 9 moles of solvent, assuming ideal behavior? (2019)
A.
0.1 P0
B.
0.9 P0
C.
0.5 P0
D.
0.2 P0
Show solution
Solution
Using Raoult's law, the vapor pressure of the solution = (moles of solvent / total moles) * P0 = (9 / 10) * P0 = 0.9 P0.
Correct Answer:
B
— 0.9 P0
Learn More →
Q. What is the vapor pressure of a solution containing 2 moles of solute and 3 moles of solvent, assuming ideal behavior? (2022)
A.
0.4 P0
B.
0.6 P0
C.
0.2 P0
D.
0.8 P0
Show solution
Solution
Vapor pressure of solution = (moles of solvent / total moles) * P0 = (3 / (2 + 3)) * P0 = 0.6 P0.
Correct Answer:
B
— 0.6 P0
Learn More →
Q. What is the vapor pressure of a solution containing 2 moles of solute and 4 moles of solvent compared to pure solvent? (2022)
A.
1/3
B.
1/2
C.
2/3
D.
1/4
Show solution
Solution
Vapor pressure lowering = (moles of solute / total moles) = 2 / (2 + 4) = 2/6 = 1/3. Thus, vapor pressure is 1/2 of pure solvent.
Correct Answer:
B
— 1/2
Learn More →
Q. What is the vapor pressure of a solution containing 2 moles of solute and 4 moles of solvent, assuming ideal behavior? (2022)
A.
0.33 P0
B.
0.50 P0
C.
0.67 P0
D.
0.75 P0
Show solution
Solution
Vapor pressure = (moles of solvent / total moles) * P0 = (4 / (2 + 4)) * P0 = (4/6) * P0 = 0.67 P0.
Correct Answer:
C
— 0.67 P0
Learn More →
Q. What is the vertex of the parabola represented by the equation y = x² - 4x + 3? (2022)
A.
(2, -1)
B.
(2, 1)
C.
(1, 2)
D.
(3, 0)
Show solution
Solution
The vertex can be found using the formula x = -b/2a. Here, x = 2, and substituting back gives y = -1.
Correct Answer:
A
— (2, -1)
Learn More →
Q. What is the vertex of the parabola represented by the equation y = x² - 6x + 8? (2023)
A.
(3, -1)
B.
(3, -5)
C.
(2, -4)
D.
(2, -2)
Show solution
Solution
The vertex can be found using the formula x = -b/2a = 6/2 = 3. Substituting x = 3 into the equation gives y = -1.
Correct Answer:
A
— (3, -1)
Learn More →
Q. What is the voltage across a 10Ω resistor carrying a current of 2A? (2022)
A.
5V
B.
10V
C.
15V
D.
20V
Show solution
Solution
Using Ohm's law, V = I * R = 2A * 10Ω = 20V.
Correct Answer:
B
— 10V
Learn More →
Q. What is the voltage across a 10Ω resistor carrying a current of 3A? (2022)
A.
30V
B.
20V
C.
10V
D.
15V
Show solution
Solution
Using Ohm's law, V = IR = 3A * 10Ω = 30V.
Correct Answer:
A
— 30V
Learn More →
Q. What is the voltage across a 12Ω resistor carrying a current of 1.5A? (2023)
A.
18V
B.
12V
C.
6V
D.
24V
Show solution
Solution
Using Ohm's law, V = IR = 1.5A * 12Ω = 18V.
Correct Answer:
A
— 18V
Learn More →
Q. What is the voltage across a 12Ω resistor carrying a current of 3A? (2023)
A.
36V
B.
24V
C.
12V
D.
18V
Show solution
Solution
Using Ohm's law, V = IR = 3A * 12Ω = 36V.
Correct Answer:
A
— 36V
Learn More →
Q. What is the voltage across a 5Ω resistor carrying a current of 3A? (2023)
A.
15V
B.
10V
C.
5V
D.
20V
Show solution
Solution
Using Ohm's law, V = IR = 3A * 5Ω = 15V.
Correct Answer:
A
— 15V
Learn More →
Q. What is the voltage across a 5Ω resistor if a current of 3A flows through it? (2020)
A.
15V
B.
10V
C.
5V
D.
20V
Show solution
Solution
Using Ohm's law, V = IR = 3A * 5Ω = 15V.
Correct Answer:
A
— 15V
Learn More →
Q. What is the voltage drop across a 10Ω resistor carrying a current of 2A? (2019)
A.
5V
B.
10V
C.
15V
D.
20V
Show solution
Solution
Using Ohm's law, V = I * R = 2A * 10Ω = 20V.
Correct Answer:
B
— 10V
Learn More →
Q. What is the voltage drop across a 3Ω resistor carrying a current of 4A? (2019)
A.
6V
B.
8V
C.
12V
D.
15V
Show solution
Solution
Using Ohm's law, V = I * R = 4A * 3Ω = 12V.
Correct Answer:
C
— 12V
Learn More →
Q. What is the volume of 0.2 M NaOH required to neutralize 0.1 M HCl in 250 mL? (2020)
A.
125 mL
B.
250 mL
C.
500 mL
D.
100 mL
Show solution
Solution
Using the formula M1V1 = M2V2, (0.1 M)(0.25 L) = (0.2 M)(V2). V2 = 0.125 L = 125 mL.
Correct Answer:
A
— 125 mL
Learn More →
Q. What is the volume of 1 M HCl solution needed to obtain 0.5 moles of HCl? (2022)
A.
0.5 L
B.
1 L
C.
2 L
D.
0.25 L
Show solution
Solution
Volume = moles / molarity = 0.5 moles / 1 M = 0.5 L.
Correct Answer:
A
— 0.5 L
Learn More →
Q. What is the volume of 1 mole of an ideal gas at STP? (2019) 2019
A.
22.4 L
B.
24 L
C.
1 L
D.
10 L
Show solution
Solution
At STP, 1 mole of an ideal gas occupies 22.4 liters.
Correct Answer:
A
— 22.4 L
Learn More →
Q. What is the volume of a 2 M NaOH solution needed to obtain 4 moles of NaOH? (2021) 2021
A.
2 L
B.
1 L
C.
0.5 L
D.
4 L
Show solution
Solution
Volume (L) = moles / molarity = 4 moles / 2 M = 2 L.
Correct Answer:
A
— 2 L
Learn More →
Q. What is the volume of a cube with side length 3 units? (2023)
Show solution
Solution
Volume = side³ = 3³ = 27 cubic units.
Correct Answer:
B
— 27
Learn More →
Q. What is the volume of a cube with side length 4 units? (2020)
Show solution
Solution
Volume = side³ = 4³ = 64 cubic units.
Correct Answer:
B
— 64
Learn More →
Showing 3931 to 3960 of 5514 (184 Pages)
