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. Which of the following statements is true regarding the composition of functions?
A.
The composition of two functions is always a function.
B.
The composition of two functions is never a function.
C.
The composition of two functions can be a function or not, depending on the functions involved.
D.
The composition of two functions is always linear.
Show solution
Solution
The composition of two functions can result in a function or not, depending on the nature of the original functions.
Correct Answer:
C
— The composition of two functions can be a function or not, depending on the functions involved.
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Q. Which of the following statements is true regarding the data represented in the mixed graph? (2023)
A.
The data is consistent across all variables.
B.
There are outliers affecting the overall trend.
C.
The data is skewed towards higher values.
D.
All variables are equally represented.
Show solution
Solution
The presence of outliers is evident in the graph, which affects the overall trend of the data.
Correct Answer:
B
— There are outliers affecting the overall trend.
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Q. Which of the following statements is true regarding the Earth's magnetic field?
A.
It is uniform everywhere
B.
It has a magnetic north and south pole
C.
It is only present at the equator
D.
It does not affect compass needles
Show solution
Solution
The Earth's magnetic field has a magnetic north and south pole and affects compass needles, causing them to align with the field.
Correct Answer:
B
— It has a magnetic north and south pole
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Q. Which of the following statements is true regarding the energy levels of molecular orbitals?
A.
σ orbitals are always lower in energy than π orbitals.
B.
π orbitals are always lower in energy than σ orbitals.
C.
For second period elements, σ2p is lower than π2p.
D.
Bonding orbitals are higher in energy than antibonding orbitals.
Show solution
Solution
For second period elements, σ2p is lower in energy than π2p.
Correct Answer:
C
— For second period elements, σ2p is lower than π2p.
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Q. Which of the following statements is true regarding the equilibrium constant (K) for a reaction?
A.
K is temperature dependent
B.
K is pressure dependent
C.
K is concentration dependent
D.
K is always equal to 1
Show solution
Solution
The equilibrium constant (K) is dependent on temperature; it changes with temperature variations.
Correct Answer:
A
— K is temperature dependent
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Q. Which of the following statements is true regarding the equilibrium constant Kc?
A.
Kc is temperature dependent
B.
Kc is pressure dependent
C.
Kc is concentration dependent
D.
Kc is independent of the reaction
Show solution
Solution
The equilibrium constant Kc is dependent on temperature; changing the temperature will change the value of Kc.
Correct Answer:
A
— Kc is temperature dependent
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Q. Which of the following statements is true regarding the equilibrium constant? (2020)
A.
Kc is temperature dependent
B.
Kc is pressure dependent
C.
Kc is concentration dependent
D.
Kc is independent of temperature
Show solution
Solution
The equilibrium constant Kc is dependent on temperature; changing the temperature will change the value of Kc.
Correct Answer:
A
— Kc is temperature dependent
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Q. Which of the following statements is true regarding the expression (a + b) mod n?
A.
It is always equal to (a mod n) + (b mod n)
B.
It is always equal to (a mod n) - (b mod n)
C.
It is always equal to (a mod n) * (b mod n)
D.
It is always equal to (a mod n) / (b mod n)
Show solution
Solution
The property of modular arithmetic states that (a + b) mod n = [(a mod n) + (b mod n)] mod n.
Correct Answer:
A
— It is always equal to (a mod n) + (b mod n)
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Q. Which of the following statements is true regarding the expression 2^(x+y)?
A.
It can be expressed as 2^x + 2^y.
B.
It can be expressed as 2^x * 2^y.
C.
It is always greater than 1.
D.
It is equal to x + y.
Show solution
Solution
The property of exponents states that a^(m+n) = a^m * a^n.
Correct Answer:
B
— It can be expressed as 2^x * 2^y.
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Q. Which of the following statements is true regarding the factors of 36?
A.
36 has 8 factors
B.
36 is a prime number
C.
All factors of 36 are even
D.
36 is a perfect square
Show solution
Solution
36 is indeed a perfect square as it can be expressed as 6 x 6.
Correct Answer:
D
— 36 is a perfect square
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Q. Which of the following statements is true regarding the first law of thermodynamics?
A.
It applies only to closed systems.
B.
It is a statement of conservation of energy.
C.
It can be violated under certain conditions.
D.
It only applies to mechanical systems.
Show solution
Solution
The first law of thermodynamics is a statement of conservation of energy, applicable to all thermodynamic systems.
Correct Answer:
B
— It is a statement of conservation of energy.
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Q. Which of the following statements is true regarding the Freundlich adsorption isotherm? (2020) 2020
A.
It is applicable to monolayer adsorption.
B.
It assumes a uniform surface.
C.
It is a linear relationship.
D.
It describes heterogeneous adsorption.
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Solution
The Freundlich adsorption isotherm describes heterogeneous adsorption on surfaces with varying affinities, making it suitable for real-world applications.
Correct Answer:
D
— It describes heterogeneous adsorption.
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Q. Which of the following statements is true regarding the Freundlich adsorption isotherm? (2020)
A.
It applies only to monolayer adsorption.
B.
It is applicable to heterogeneous surfaces.
C.
It predicts a constant adsorption capacity.
D.
It is a linear relationship.
Show solution
Solution
The Freundlich adsorption isotherm is applicable to heterogeneous surfaces and describes how adsorption varies with pressure or concentration, indicating that it is not limited to monolayer adsorption.
Correct Answer:
B
— It is applicable to heterogeneous surfaces.
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Q. Which of the following statements is true regarding the function f(x) = 1/(x-3)?
A.
Continuous at x = 3
B.
Discontinuous at x = 3
C.
Continuous everywhere
D.
Discontinuous everywhere
Show solution
Solution
The function f(x) = 1/(x-3) is discontinuous at x = 3 because it is undefined at that point.
Correct Answer:
B
— Discontinuous at x = 3
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Q. Which of the following statements is true regarding the function f(x) = x^2?
A.
It is a linear function.
B.
It is a quadratic function.
C.
It is a constant function.
D.
It is an exponential function.
Show solution
Solution
The function f(x) = x^2 is a quadratic function because it can be expressed in the form ax^2 + bx + c.
Correct Answer:
B
— It is a quadratic function.
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Q. Which of the following statements is true regarding the function f(x) = |x|?
A.
Continuous everywhere
B.
Discontinuous at x = 0
C.
Continuous only for x > 0
D.
Discontinuous for x < 0
Show solution
Solution
The function f(x) = |x| is continuous everywhere, including at x = 0.
Correct Answer:
A
— Continuous everywhere
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Q. Which of the following statements is true regarding the graph of a linear equation?
A.
It can be a curve.
B.
It is always a straight line.
C.
It can have multiple slopes.
D.
It can intersect the x-axis at multiple points.
Show solution
Solution
The graph of a linear equation is always a straight line.
Correct Answer:
B
— It is always a straight line.
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Q. Which of the following statements is true regarding the graph of a quadratic function?
A.
It is always a straight line.
B.
It can open upwards or downwards.
C.
It has no intercepts.
D.
It is always increasing.
Show solution
Solution
The graph of a quadratic function is a parabola that can open upwards (if a > 0) or downwards (if a < 0).
Correct Answer:
B
— It can open upwards or downwards.
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Q. Which of the following statements is true regarding the graph of the equation 3x + 4y = 12? (2023)
A.
It intersects the x-axis at (4, 0).
B.
It intersects the y-axis at (0, 3).
C.
It has a positive slope.
D.
It is a vertical line.
Show solution
Solution
Setting y = 0 gives x = 4, indicating that the graph intersects the x-axis at (4, 0).
Correct Answer:
A
— It intersects the x-axis at (4, 0).
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Q. Which of the following statements is true regarding the graph of the equation 5x + 2y = 10?
A.
It is a vertical line.
B.
It is a horizontal line.
C.
It has a positive slope.
D.
It has a negative slope.
Show solution
Solution
Rearranging the equation to y = -5/2x + 5 shows that the slope is negative.
Correct Answer:
D
— It has a negative slope.
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Q. Which of the following statements is true regarding the graph of the equation y = mx + b?
A.
The graph is always a circle.
B.
The slope m indicates the steepness of the line.
C.
The y-intercept b is always negative.
D.
The graph can never be horizontal.
Show solution
Solution
In the equation y = mx + b, m represents the slope, which indicates how steep the line is.
Correct Answer:
B
— The slope m indicates the steepness of the line.
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Q. Which of the following statements is true regarding the graph of the equation y = 2x + 1?
A.
It is a vertical line.
B.
It has a positive slope.
C.
It intersects the y-axis at -1.
D.
It has a negative slope.
Show solution
Solution
The equation y = 2x + 1 has a positive slope of 2 and intersects the y-axis at 1.
Correct Answer:
B
— It has a positive slope.
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Q. Which of the following statements is true regarding the HCF and LCM of two numbers? (2023)
A.
HCF is always greater than LCM
B.
HCF is the product of the numbers
C.
LCM is always less than the product of the numbers
D.
HCF * LCM = Product of the numbers
Show solution
Solution
The correct statement is that HCF * LCM = Product of the numbers.
Correct Answer:
D
— HCF * LCM = Product of the numbers
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Q. Which of the following statements is true regarding the inductive effect?
A.
It is a temporary effect.
B.
It operates through pi bonds.
C.
It is stronger than the mesomeric effect.
D.
It decreases with distance.
Show solution
Solution
The inductive effect decreases with distance from the electronegative atom or group.
Correct Answer:
D
— It decreases with distance.
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Q. Which of the following statements is true regarding the International Date Line? (2019)
A.
It is located at 180° longitude
B.
It is a straight line
C.
It is not recognized by all countries
D.
All of the above
Show solution
Solution
The International Date Line is approximately at 180° longitude, is not a straight line, and is not recognized by all countries.
Correct Answer:
D
— All of the above
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Q. Which of the following statements is true regarding the intersection of two constraint-based sets?
A.
The intersection will always contain all elements of both sets.
B.
The intersection may contain elements that satisfy the constraints of both sets.
C.
The intersection will be empty if the sets have no common elements.
D.
Both b and c are true.
Show solution
Solution
The intersection of two constraint-based sets may contain elements that satisfy the constraints of both sets, and it will be empty if there are no common elements.
Correct Answer:
D
— Both b and c are true.
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Q. Which of the following statements is true regarding the intersection of two hybrid sets?
A.
The intersection is always empty.
B.
The intersection contains all elements from both sets.
C.
The intersection contains only the common elements.
D.
The intersection is equal to the union of the sets.
Show solution
Solution
The intersection of two hybrid sets contains only the elements that are common to both sets.
Correct Answer:
C
— The intersection contains only the common elements.
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Q. Which of the following statements is true regarding the inverse of a function?
A.
The inverse of a function is always a function.
B.
The inverse of a function is defined only for linear functions.
C.
The graph of a function and its inverse are symmetric about the line y = x.
D.
The inverse of a function can never be found.
Show solution
Solution
The graph of a function and its inverse are symmetric about the line y = x, which is a key property of inverse functions.
Correct Answer:
C
— The graph of a function and its inverse are symmetric about the line y = x.
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Q. Which of the following statements is true regarding the Langmuir adsorption isotherm?
A.
It assumes a monolayer adsorption.
B.
It applies to multilayer adsorption.
C.
It is temperature independent.
D.
It is only applicable to gases.
Show solution
Solution
The Langmuir adsorption isotherm assumes that adsorption occurs in a monolayer on a surface with a finite number of identical sites.
Correct Answer:
A
— It assumes a monolayer adsorption.
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Q. Which of the following statements is true regarding the magnetic field due to a solenoid? (2023)
A.
It is uniform inside and zero outside
B.
It is zero inside and uniform outside
C.
It is uniform both inside and outside
D.
It varies linearly with distance
Show solution
Solution
A solenoid produces a uniform magnetic field inside and negligible field outside when it is long compared to its diameter.
Correct Answer:
A
— It is uniform inside and zero outside
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