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 charge of one coulomb equivalent to in terms of electric current and time? (2022)
A.
1 A for 1 s
B.
1 A for 2 s
C.
2 A for 1 s
D.
0.5 A for 1 s
Show solution
Solution
1 coulomb is the charge that passes through a conductor when a current of 1 ampere flows for 1 second.
Correct Answer:
A
— 1 A for 1 s
Learn More →
Q. What is the charge of one coulomb equivalent to in terms of electrons? (2022)
A.
6.25 x 10^18 electrons
B.
1.6 x 10^-19 electrons
C.
3.2 x 10^-19 electrons
D.
1.0 x 10^18 electrons
Show solution
Solution
One coulomb is equivalent to approximately 6.25 x 10^18 electrons.
Correct Answer:
A
— 6.25 x 10^18 electrons
Learn More →
Q. What is the charge of one coulomb in terms of the number of electrons? (2023)
A.
6.25 x 10^18 electrons
B.
1.6 x 10^-19 electrons
C.
3.2 x 10^-19 electrons
D.
1.0 x 10^18 electrons
Show solution
Solution
One coulomb is equivalent to approximately 6.25 x 10^18 electrons.
Correct Answer:
A
— 6.25 x 10^18 electrons
Learn More →
Q. What is the chemical formula for sodium chloride? (2023) 2023
A.
NaCl
B.
Na2Cl
C.
NaCl2
D.
Na2Cl2
Show solution
Solution
The chemical formula for sodium chloride is NaCl.
Correct Answer:
A
— NaCl
Learn More →
Q. What is the chemical formula for table salt? (2019)
A.
NaCl
B.
KCl
C.
CaCl2
D.
MgCl2
Show solution
Solution
Table salt is chemically known as sodium chloride, which has the formula NaCl.
Correct Answer:
A
— NaCl
Learn More →
Q. What is the chemical formula for the compound formed between strontium and chlorine? (2019)
A.
SrCl
B.
SrCl2
C.
Sr2Cl
D.
Sr2Cl3
Show solution
Solution
Strontium forms a compound with chlorine as SrCl2, where strontium has a +2 charge and chlorine has a -1 charge.
Correct Answer:
B
— SrCl2
Learn More →
Q. What is the coefficient of x^0 in the expansion of (2x - 3)^5? (2022)
A.
-243
B.
243
C.
-81
D.
81
Show solution
Solution
The constant term is C(5,5)(-3)^5 = -243.
Correct Answer:
A
— -243
Learn More →
Q. What is the coefficient of x^0 in the expansion of (3x + 2)^5? (2022)
Show solution
Solution
The coefficient of x^0 is C(5,5) * (3x)^0 * (2)^5 = 1 * 32 = 32.
Correct Answer:
C
— 64
Learn More →
Q. What is the coefficient of x^0 in the expansion of (x + 1/x)^8? (2021)
Show solution
Solution
The coefficient of x^0 occurs when k=4, which gives us 8C4 = 70.
Correct Answer:
C
— 70
Learn More →
Q. What is the coefficient of x^1 in the expansion of (x + 1)^10? (2021)
Show solution
Solution
The coefficient of x^1 is C(10,1)(1)^9 = 10.
Correct Answer:
A
— 10
Learn More →
Q. What is the coefficient of x^1 in the expansion of (x + 5)^6?
Show solution
Solution
The coefficient of x^1 is C(6,1) * 5^5 = 6 * 3125 = 18750.
Correct Answer:
C
— 90
Learn More →
Q. What is the coefficient of x^1 in the expansion of (x - 1)^5?
Show solution
Solution
The coefficient of x^1 is given by 5C1 * (-1)^4 = 5 * 1 = 5.
Correct Answer:
A
— -5
Learn More →
Q. What is the coefficient of x^2 in the expansion of (2x + 1)^6?
Show solution
Solution
The coefficient of x^2 is C(6,2) * (2)^2 * (1)^4 = 15 * 4 = 60.
Correct Answer:
B
— 30
Learn More →
Q. What is the coefficient of x^2 in the expansion of (2x - 1)^5? (2021)
Show solution
Solution
The coefficient of x^2 is C(5,2) * (2)^2 * (-1)^3 = 10 * 4 * (-1) = -40.
Correct Answer:
B
— 20
Learn More →
Q. What is the coefficient of x^2 in the expansion of (3x - 4)^6?
A.
540
B.
720
C.
1080
D.
1440
Show solution
Solution
The coefficient of x^2 is C(6,2) * (3)^2 * (-4)^(6-2) = 15 * 9 * 256 = 34560.
Correct Answer:
C
— 1080
Learn More →
Q. What is the coefficient of x^2 in the expansion of (x + 1/2)^8?
Show solution
Solution
The coefficient of x^2 is C(8,2) * (1/2)^2 = 28 * 1/4 = 7.
Correct Answer:
C
— 70
Learn More →
Q. What is the coefficient of x^2 in the expansion of (x + 3)^5?
Show solution
Solution
The coefficient of x^2 is given by 5C2 * (3)^3 = 10 * 27 = 270.
Correct Answer:
A
— 45
Learn More →
Q. What is the coefficient of x^2 in the expansion of (x + 4)^5?
A.
80
B.
100
C.
120
D.
160
Show solution
Solution
The coefficient of x^2 is C(5,2) * 4^3 = 10 * 64 = 640.
Correct Answer:
A
— 80
Learn More →
Q. What is the coefficient of x^2 in the expansion of (x + 5)^4?
A.
50
B.
100
C.
150
D.
200
Show solution
Solution
The coefficient of x^2 is C(4,2) * (5)^2 = 6 * 25 = 150.
Correct Answer:
B
— 100
Learn More →
Q. What is the coefficient of x^2 in the expansion of (x + 5)^7? (2021)
A.
21
B.
35
C.
105
D.
175
Show solution
Solution
The coefficient of x^2 is given by 7C2 * 5^5 = 21 * 3125 = 65625.
Correct Answer:
B
— 35
Learn More →
Q. What is the coefficient of x^2 in the expansion of (x - 1)^5?
Show solution
Solution
The coefficient of x^2 is C(5,2) * (-1)^3 = 10 * (-1) = -10.
Correct Answer:
A
— -10
Learn More →
Q. What is the coefficient of x^2 in the expansion of (x - 2)^5?
A.
-40
B.
-20
C.
20
D.
40
Show solution
Solution
The coefficient of x^2 is given by 5C2 * (-2)^3 = 10 * (-8) = -80.
Correct Answer:
A
— -40
Learn More →
Q. What is the coefficient of x^3 in the expansion of (5x + 2)^6? (2000) 2000
A.
600
B.
720
C.
800
D.
900
Show solution
Solution
The coefficient of x^3 is C(6,3) * (5)^3 * (2)^3 = 20 * 125 * 8 = 20000.
Correct Answer:
B
— 720
Learn More →
Q. What is the coefficient of x^3 in the expansion of (x + 5)^8?
A.
2800
B.
3360
C.
4000
D.
4200
Show solution
Solution
The coefficient of x^3 is given by 8C3 * (5)^5 = 56 * 3125 = 175000.
Correct Answer:
B
— 3360
Learn More →
Q. What is the coefficient of x^3 in the expansion of (x - 1)^5? (2022)
Show solution
Solution
The coefficient of x^3 is C(5,3)(-1)^2 = 10.
Correct Answer:
A
— -10
Learn More →
Q. What is the coefficient of x^3 in the expansion of (x - 2)^5?
Show solution
Solution
The coefficient of x^3 is C(5,3) * (-2)^2 = 10 * 4 = 40.
Correct Answer:
A
— 10
Learn More →
Q. What is the coefficient of x^3 in the expansion of (x - 2)^6?
A.
-80
B.
-120
C.
-240
D.
-720
Show solution
Solution
The coefficient of x^3 is C(6,3) * (-2)^3 = 20 * (-8) = -160.
Correct Answer:
B
— -120
Learn More →
Q. What is the coefficient of x^4 in the expansion of (2x + 5)^6? (2022)
A.
150
B.
300
C.
600
D.
450
Show solution
Solution
The coefficient of x^4 is C(6,4) * (2)^4 * (5)^2 = 15 * 16 * 25 = 600.
Correct Answer:
D
— 450
Learn More →
Q. What is the coefficient of x^4 in the expansion of (3x + 2)^6?
A.
540
B.
720
C.
810
D.
900
Show solution
Solution
The coefficient of x^4 is C(6,4) * (3)^4 * (2)^2 = 15 * 81 * 4 = 4860.
Correct Answer:
B
— 720
Learn More →
Q. What is the coefficient of x^4 in the expansion of (3x - 2)^5? (2021)
A.
90
B.
120
C.
150
D.
180
Show solution
Solution
The coefficient of x^4 is given by 5C4 * (3)^4 * (-2)^1 = 5 * 81 * (-2) = -810.
Correct Answer:
C
— 150
Learn More →
Showing 2281 to 2310 of 5514 (184 Pages)