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 represents a family of circles with varying radii?
A.
(x - h)^2 + (y - k)^2 = r^2
B.
(x - h)^2 + (y - k) = r
C.
x^2 + y^2 = r
D.
x^2 + y^2 = kx
Show solution
Solution
The equation (x - h)^2 + (y - k)^2 = r^2 represents a circle centered at (h, k) with radius r.
Correct Answer:
A
— (x - h)^2 + (y - k)^2 = r^2
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Q. Which of the following represents a family of curves for the equation y = a sin(bx)?
A.
Linear functions
B.
Exponential functions
C.
Sine waves with varying amplitudes and frequencies
D.
Quadratic functions
Show solution
Solution
The equation y = a sin(bx) represents sine waves where 'a' is the amplitude and 'b' is the frequency.
Correct Answer:
C
— Sine waves with varying amplitudes and frequencies
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Q. Which of the following represents a family of curves for the equation y = ax^2 + bx + c?
A.
Linear functions
B.
Quadratic functions
C.
Cubic functions
D.
Exponential functions
Show solution
Solution
The equation y = ax^2 + bx + c represents a family of quadratic functions where 'a', 'b', and 'c' are constants.
Correct Answer:
B
— Quadratic functions
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Q. Which of the following represents a family of exponential curves?
A.
y = ae^(bx)
B.
y = ax^2 + bx + c
C.
y = a sin(bx)
D.
y = a log(bx)
Show solution
Solution
The equation y = ae^(bx) represents a family of exponential curves where a and b are constants.
Correct Answer:
A
— y = ae^(bx)
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Q. Which of the following represents a family of straight lines?
A.
y = mx + c
B.
y = ax^2 + bx + c
C.
y = e^x
D.
y = sin(x)
Show solution
Solution
The equation y = mx + c represents a family of straight lines for different values of m and c.
Correct Answer:
A
— y = mx + c
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Q. Which of the following represents a homozygous dominant genotype? (2021)
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Solution
The genotype 'AA' represents a homozygous dominant individual.
Correct Answer:
A
— AA
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Q. Which of the following represents a hyperbola with transverse axis along the x-axis?
A.
x^2/a^2 - y^2/b^2 = 1
B.
y^2/a^2 - x^2/b^2 = 1
C.
x^2/b^2 - y^2/a^2 = 1
D.
y^2/b^2 - x^2/a^2 = 1
Show solution
Solution
The equation x^2/a^2 - y^2/b^2 = 1 represents a hyperbola with transverse axis along the x-axis.
Correct Answer:
A
— x^2/a^2 - y^2/b^2 = 1
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Q. Which of the following represents a phenotype? (2021)
A.
BB
B.
Bb
C.
bb
D.
Brown eyes
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Solution
A phenotype is the observable characteristic, such as brown eyes.
Correct Answer:
D
— Brown eyes
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Q. Which of the following represents a physical change?
A.
Burning wood
B.
Dissolving sugar in water
C.
Rusting of iron
D.
Cooking an egg
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Solution
Dissolving sugar in water is a physical change as it does not alter the chemical composition of sugar.
Correct Answer:
B
— Dissolving sugar in water
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Q. Which of the following represents a systematic error? (2020)
A.
Calibration error
B.
Random fluctuations
C.
Environmental changes
D.
Human error
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Solution
Systematic errors are consistent and repeatable inaccuracies, often due to calibration errors.
Correct Answer:
A
— Calibration error
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Q. Which of the following represents a test cross? (2020)
A.
AA x aa
B.
Aa x Aa
C.
AA x Aa
D.
aa x aa
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Solution
A test cross is performed by crossing an individual with a homozygous recessive individual (AA x aa) to determine the genotype of the former.
Correct Answer:
A
— AA x aa
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Q. Which of the following represents an endothermic reaction?
A.
Combustion of gasoline
B.
Dissolving ammonium nitrate in water
C.
Respiration
D.
Rusting of iron
Show solution
Solution
Dissolving ammonium nitrate in water absorbs heat, making it an endothermic reaction.
Correct Answer:
B
— Dissolving ammonium nitrate in water
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Q. Which of the following represents the change of base formula for logarithms?
A.
log_a(b) = log_c(b) / log_c(a)
B.
log_a(b) = log_c(a) / log_c(b)
C.
log_a(b) = log_c(b) * log_c(a)
D.
log_a(b) = log_c(a) + log_c(b)
Show solution
Solution
The change of base formula states that log_a(b) can be expressed as log_c(b) divided by log_c(a).
Correct Answer:
A
— log_a(b) = log_c(b) / log_c(a)
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Q. Which of the following represents the complex number 4 in polar form?
A.
4(cos 0 + i sin 0)
B.
4(cos π/2 + i sin π/2)
C.
4(cos π + i sin π)
D.
4(cos π/4 + i sin π/4)
Show solution
Solution
The polar form of a complex number r(cos θ + i sin θ) where r is the modulus and θ is the argument. Here, 4 = 4(cos 0 + i sin 0).
Correct Answer:
A
— 4(cos 0 + i sin 0)
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Q. Which of the following represents the concept of significant figures? (2023)
A.
All digits in a number
B.
Only the non-zero digits
C.
All digits except leading zeros
D.
All digits except trailing zeros
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Solution
Significant figures include all non-zero digits and any zeros between them or trailing after a decimal point.
Correct Answer:
C
— All digits except leading zeros
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Q. Which of the following represents the correct relationship between moles and mass?
A.
Moles = Mass / Molar Mass
B.
Mass = Moles x Molar Mass
C.
Molar Mass = Mass / Moles
D.
All of the above
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Solution
All the given relationships are correct and represent the conversion between moles, mass, and molar mass.
Correct Answer:
D
— All of the above
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Q. Which of the following represents the correct relationship between moles, mass, and molar mass?
A.
moles = mass × molar mass
B.
mass = moles × molar mass
C.
molar mass = mass / moles
D.
mass = moles / molar mass
Show solution
Solution
The correct relationship is mass = moles × molar mass.
Correct Answer:
B
— mass = moles × molar mass
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Q. Which of the following represents the enthalpy change for a reaction at constant pressure?
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Solution
The enthalpy change for a reaction at constant pressure is represented by ΔH.
Correct Answer:
B
— ΔH
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Q. Which of the following represents the equation of a line with a slope of 2 and a y-intercept of -3?
A.
y = 2x - 3
B.
y = -2x + 3
C.
y = 3x - 2
D.
y = -3x + 2
Show solution
Solution
The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.
Correct Answer:
A
— y = 2x - 3
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Q. Which of the following represents the expression 10^(3x) in terms of its base?
A.
1000^x
B.
100^x
C.
10^x * 10^x * 10^x
D.
10^(x^3)
Show solution
Solution
10^(3x) can be rewritten as (10^3)^x = 1000^x.
Correct Answer:
A
— 1000^x
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Q. Which of the following represents the expression 4^(3/2)?
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Solution
4^(3/2) can be rewritten as (2^2)^(3/2) = 2^(2*3/2) = 2^3 = 8.
Correct Answer:
A
— 8
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Q. Which of the following represents the factored form of the expression x^2 - 9?
A.
(x - 3)(x + 3)
B.
(x - 9)(x + 1)
C.
(x - 1)(x + 9)
D.
(x + 3)(x + 3)
Show solution
Solution
x^2 - 9 is a difference of squares, which factors to (x - 3)(x + 3).
Correct Answer:
A
— (x - 3)(x + 3)
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Q. Which of the following represents the factored form of x^2 - 9?
A.
(x - 3)(x + 3)
B.
(x - 9)(x + 1)
C.
(x + 3)(x + 3)
D.
(x - 3)(x - 3)
Show solution
Solution
x^2 - 9 is a difference of squares, which factors to (x - 3)(x + 3).
Correct Answer:
A
— (x - 3)(x + 3)
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Q. Which of the following represents the ideal gas constant? (2022)
A.
R = 0.0821 L·atm/(K·mol)
B.
R = 8.314 J/(K·mol)
C.
Both A and B
D.
None of the above
Show solution
Solution
The ideal gas constant can be represented as R = 0.0821 L·atm/(K·mol) or R = 8.314 J/(K·mol).
Correct Answer:
C
— Both A and B
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Q. Which of the following represents the identity for (a + b + c)²?
A.
a² + b² + c² + 2ab + 2bc + 2ca
B.
a² + b² + c² + 3abc
C.
a² + b² + c²
D.
a² + b² + c² + ab + ac + bc
Show solution
Solution
(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca.
Correct Answer:
A
— a² + b² + c² + 2ab + 2bc + 2ca
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Q. Which of the following represents the number of particles in one mole of a substance?
A.
6.022 x 10^23
B.
3.14 x 10^22
C.
1.6 x 10^19
D.
9.11 x 10^28
Show solution
Solution
Avogadro's number is 6.022 x 10^23, which represents the number of particles in one mole.
Correct Answer:
A
— 6.022 x 10^23
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Q. Which of the following represents the slope of the line in the equation y = 3x + 2?
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Solution
In the slope-intercept form y = mx + b, m represents the slope. Here, m = 3.
Correct Answer:
B
— 3
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Q. Which of the following represents the slope of the line represented by the equation y = mx + b?
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Solution
In the equation y = mx + b, 'm' represents the slope of the line.
Correct Answer:
A
— m
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Q. Which of the following represents the solution to the inequality 4 - x < 1?
A.
x > 3
B.
x < 3
C.
x > 4
D.
x < 4
Show solution
Solution
4 - x < 1 => -x < -3 => x > 3
Correct Answer:
A
— x > 3
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Q. Which of the following represents the solution to the inequality 4 - x < 2?
A.
x < 2
B.
x > 2
C.
x < 4
D.
x > 4
Show solution
Solution
4 - x < 2 => -x < -2 => x > 2.
Correct Answer:
B
— x > 2
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