Major Competitive Exams MCQ & Objective Questions
Major Competitive Exams play a crucial role in shaping the academic and professional futures of students in India. These exams not only assess knowledge but also test problem-solving skills and time management. Practicing MCQs and objective questions is essential for scoring better, as they help in familiarizing students with the exam format and identifying important questions that frequently appear in tests.
What You Will Practise Here
Key concepts and theories related to major subjects
Important formulas and their applications
Definitions of critical terms and terminologies
Diagrams and illustrations to enhance understanding
Practice questions that mirror actual exam patterns
Strategies for solving objective questions efficiently
Time management techniques for competitive exams
Exam Relevance
The topics covered under Major Competitive Exams are integral to various examinations such as CBSE, State Boards, NEET, and JEE. Students can expect to encounter a mix of conceptual and application-based questions that require a solid understanding of the subjects. Common question patterns include multiple-choice questions that test both knowledge and analytical skills, making it essential to be well-prepared with practice MCQs.
Common Mistakes Students Make
Rushing through questions without reading them carefully
Overlooking the negative marking scheme in MCQs
Confusing similar concepts or terms
Neglecting to review previous years’ question papers
Failing to manage time effectively during the exam
FAQs
Question: How can I improve my performance in Major Competitive Exams?Answer: Regular practice of MCQs and understanding key concepts will significantly enhance your performance.
Question: What types of questions should I focus on for these exams?Answer: Concentrate on important Major Competitive Exams questions that frequently appear in past papers and mock tests.
Question: Are there specific strategies for tackling objective questions?Answer: Yes, practicing under timed conditions and reviewing mistakes can help develop effective strategies.
Start your journey towards success by solving practice MCQs today! Test your understanding and build confidence for your upcoming exams. Remember, consistent practice is the key to mastering Major Competitive Exams!
Q. What is the interquartile range (IQR) of the data set {1, 3, 7, 8, 9}?
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Solution
Q1 = 3, Q3 = 8. IQR = Q3 - Q1 = 8 - 3 = 5.
Correct Answer:
A
— 6
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Q. What is the interquartile range (IQR) of the data set: 1, 2, 3, 4, 5, 6, 7, 8, 9?
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Solution
Q1 = 3, Q3 = 7; IQR = Q3 - Q1 = 7 - 3 = 4.
Correct Answer:
A
— 4
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Q. What is the interquartile range (IQR) of the data set: 1, 3, 5, 7, 9, 11, 13?
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Solution
Q1 = 3, Q3 = 9. IQR = Q3 - Q1 = 9 - 3 = 6.
Correct Answer:
B
— 6
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Q. What is the intersection of the sets A = {1, 2, 3} and B = {2, 3, 4}?
A.
{1, 2, 3}
B.
{2, 3}
C.
{4}
D.
{1, 4}
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Solution
The intersection of two sets includes only the elements that are present in both sets. Here, the intersection is {2, 3}.
Correct Answer:
B
— {2, 3}
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Q. What is the inverse of sin(1/2)?
A.
30°
B.
45°
C.
60°
D.
90°
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Solution
The inverse of sin(1/2) is 30°.
Correct Answer:
A
— 30°
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Q. What is the inverse of the function f(x) = 2x + 3?
A.
(x - 3)/2
B.
(x + 3)/2
C.
2x - 3
D.
2(x - 3)
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Solution
To find the inverse, set y = 2x + 3, solve for x: x = (y - 3)/2.
Correct Answer:
A
— (x - 3)/2
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Q. What is the inverse of the function f(x) = 2x + 5?
A.
f^-1(x) = (x - 5)/2
B.
f^-1(x) = 2x - 5
C.
f^-1(x) = (x + 5)/2
D.
f^-1(x) = 5 - 2x
Show solution
Solution
To find the inverse, set y = 2x + 5, solve for x: x = (y - 5)/2, thus f^-1(x) = (x - 5)/2.
Correct Answer:
A
— f^-1(x) = (x - 5)/2
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Q. What is the inverse of the function f(x) = 3x + 1?
A.
(x-1)/3
B.
(x-1)/3
C.
(x-3)/1
D.
3(x-1)
Show solution
Solution
To find the inverse, set y = 3x + 1, solve for x: x = (y - 1)/3.
Correct Answer:
A
— (x-1)/3
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Q. What is the inverse of the function f(x) = 3x + 4?
A.
(x - 4)/3
B.
(x + 4)/3
C.
3/x - 4
D.
3/x + 4
Show solution
Solution
To find the inverse, set y = 3x + 4, solve for x: x = (y - 4)/3, hence the inverse is (x - 4)/3.
Correct Answer:
A
— (x - 4)/3
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Q. What is the inverse of the function f(x) = 3x - 5?
A.
(x + 5)/3
B.
(x - 5)/3
C.
3(x + 5)
D.
3(x - 5)
Show solution
Solution
To find the inverse, set y = 3x - 5, solve for x: x = (y + 5)/3, hence f^(-1)(x) = (x + 5)/3.
Correct Answer:
A
— (x + 5)/3
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Q. What is the inverse of the matrix A = [[0, 1], [1, 0]]?
A.
[[0, 1], [1, 0]]
B.
[[1, 0], [0, 1]]
C.
[[0, 0], [0, 0]]
D.
[[1, 1], [1, 1]]
Show solution
Solution
The inverse of A is A itself since A is an involutory matrix.
Correct Answer:
A
— [[0, 1], [1, 0]]
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Q. What is the inverse of the matrix A = [[1, 2], [3, 4]]?
A.
[[4, -2], [-3, 1]]
B.
[[-2, 1], [1.5, -0.5]]
C.
[[-2, 1], [1.5, -0.5]]
D.
[[2, -1], [-1.5, 0.5]]
Show solution
Solution
The inverse of A is (1/det(A)) * adj(A) = (1/-2) * [[4, -2], [-3, 1]] = [[-2, 1], [1.5, -0.5]].
Correct Answer:
A
— [[4, -2], [-3, 1]]
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Q. What is the ionization energy of an atom? (2023)
A.
Energy required to remove an electron
B.
Energy released when an electron is added
C.
Energy required to excite an electron
D.
Energy required to split the nucleus
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Solution
Ionization energy is defined as the energy required to remove an electron from an atom in its gaseous state.
Correct Answer:
A
— Energy required to remove an electron
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Q. What is the ionization energy of hydrogen in eV? (2019)
A.
1.51 eV
B.
13.6 eV
C.
3.4 eV
D.
10.2 eV
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Solution
The ionization energy of hydrogen is 13.6 eV, which is the energy required to remove the electron from the ground state.
Correct Answer:
B
— 13.6 eV
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Q. What is the isoelectric point (pI) of a protein?
A.
The pH at which the protein is positively charged
B.
The pH at which the protein is negatively charged
C.
The pH at which the protein has no net charge
D.
The pH at which the protein is denatured
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Solution
The isoelectric point (pI) of a protein is the pH at which the protein has no net charge, leading to minimal solubility.
Correct Answer:
C
— The pH at which the protein has no net charge
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Q. What is the isoelectric point of a protein?
A.
The pH at which the protein is positively charged
B.
The pH at which the protein is negatively charged
C.
The pH at which the protein has no net charge
D.
The pH at which the protein denatures
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Solution
The isoelectric point of a protein is the pH at which the protein has no net charge, leading to minimal solubility.
Correct Answer:
C
— The pH at which the protein has no net charge
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Q. What is the IUPAC name for CH3-CH2-CH2-CHO? (2020)
A.
Butanal
B.
Propanal
C.
Pentanal
D.
Hexanal
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Solution
The IUPAC name for CH3-CH2-CH2-CHO is Butanal, as it has a four-carbon chain with an aldehyde functional group.
Correct Answer:
A
— Butanal
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Q. What is the IUPAC name for CH3-CH2-CH2-COOH? (2020)
A.
Butanoic acid
B.
Propanoic acid
C.
Pentanoic acid
D.
Hexanoic acid
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Solution
The IUPAC name for CH3-CH2-CH2-COOH is Butanoic acid, as it has four carbon atoms.
Correct Answer:
A
— Butanoic acid
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Q. What is the IUPAC name for CH3-CH2-CH=CH2?
A.
Butene
B.
Propene
C.
Butyne
D.
Pentene
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Solution
The IUPAC name for CH3-CH2-CH=CH2 is butene.
Correct Answer:
A
— Butene
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Q. What is the IUPAC name for CH3-CH2-CHO?
A.
Ethyl alcohol
B.
Propionaldehyde
C.
Acetaldehyde
D.
Butyraldehyde
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Solution
The IUPAC name for CH3-CH2-CHO is acetaldehyde.
Correct Answer:
C
— Acetaldehyde
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Q. What is the IUPAC name for CH3-CH2-COOH?
A.
Propanoic acid
B.
Butanoic acid
C.
Acetic acid
D.
Methanoic acid
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Solution
The IUPAC name for CH3-CH2-COOH is propanoic acid, as it has three carbon atoms in the longest chain.
Correct Answer:
A
— Propanoic acid
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Q. What is the IUPAC name for CH3CH2COOH? (2021)
A.
Propanoic acid
B.
Butanoic acid
C.
Acetic acid
D.
Formic acid
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Solution
CH3CH2COOH is propanoic acid, which has a three-carbon chain with a carboxylic acid functional group.
Correct Answer:
A
— Propanoic acid
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Q. What is the IUPAC name for CH3COOH?
A.
Methanol
B.
Ethanol
C.
Acetic acid
D.
Butanoic acid
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Solution
The IUPAC name for CH3COOH is acetic acid.
Correct Answer:
C
— Acetic acid
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Q. What is the IUPAC name for the compound C2H5-CHO?
A.
Ethanal
B.
Propanoic acid
C.
Acetaldehyde
D.
Butanal
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Solution
The compound is an aldehyde with two carbons, hence the name is Ethanal.
Correct Answer:
A
— Ethanal
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Q. What is the IUPAC name for the compound C2H5-CO-CH3?
A.
2-Pentanone
B.
3-Pentanone
C.
Butan-2-one
D.
Butan-3-one
Show solution
Solution
The compound is a ketone with four carbons, and the carbonyl group is on the second carbon, hence Butan-2-one.
Correct Answer:
C
— Butan-2-one
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Q. What is the IUPAC name for the compound C2H5OH?
A.
Ethanol
B.
Ethylene
C.
Ethane
D.
Acetaldehyde
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Solution
C2H5OH is ethanol, which is an alcohol with two carbon atoms.
Correct Answer:
A
— Ethanol
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Q. What is the IUPAC name for the compound C3H6O?
A.
Propylene oxide
B.
Acetone
C.
Propanal
D.
Cyclopropanol
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Solution
C3H6O is an aldehyde with three carbons, named Propanal.
Correct Answer:
C
— Propanal
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Q. What is the IUPAC name for the compound C3H7-CO-CH3?
A.
2-Pentanone
B.
3-Pentanone
C.
Butan-2-one
D.
Butan-3-one
Show solution
Solution
The compound is a ketone with a four-carbon chain, and the carbonyl group is on the second carbon, hence it is Butan-2-one.
Correct Answer:
C
— Butan-2-one
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Q. What is the IUPAC name for the compound C6H12O?
A.
Hexanal
B.
Hexan-1-ol
C.
Cyclohexanol
D.
2-Hexanol
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Solution
The compound is a cyclic alcohol with six carbons, hence it is named Cyclohexanol.
Correct Answer:
C
— Cyclohexanol
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Q. What is the IUPAC name for the compound C6H5-CH(CH3)-OH?
A.
Benzyl alcohol
B.
Phenylpropan-2-ol
C.
2-Phenylpropan-1-ol
D.
2-Phenylpropan-2-ol
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Solution
The compound has a phenyl group and a hydroxyl group on the second carbon of a three-carbon chain, hence it is Phenylpropan-2-ol.
Correct Answer:
B
— Phenylpropan-2-ol
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