Q. In a set of numbers, if the number 30 is a multiple of a certain number 'X', which of the following could be 'X'?
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Solution
Both 5 and 10 are factors of 30, making them valid options for 'X'.
Correct Answer:
A
— 5
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Q. In a set of numbers: 10, 20, 30, 40, 50, what is the median? (2023)
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Solution
The numbers are in order. The median is the average of the 3rd and 4th numbers: (30 + 40) / 2 = 35.
Correct Answer:
B
— 30
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Q. In a set of numbers: 5, 5, 6, 7, 8, 8, 8, 9, what is the mode?
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Solution
The mode is 8, which appears three times, more than any other number.
Correct Answer:
D
— 8
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Q. In a set of numbers: 5, 6, 7, 5, 8, 5, 9, 6, what is the mode?
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Solution
The mode is 5, as it appears four times in the data set.
Correct Answer:
A
— 5
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Q. In a set of tasks A, B, C, D, and E, if A must be done before B and C, and C must be done before D, which of the following is a possible order?
A.
B, A, C, D, E
B.
A, C, B, D, E
C.
C, A, B, D, E
D.
A, B, D, C, E
Show solution
Solution
The order A, C, B, D, E satisfies the constraints that A is before B and C, and C is before D.
Correct Answer:
B
— A, C, B, D, E
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Q. In a set of tasks where A must be completed before B, and C must be completed before A, which of the following sequences is valid?
A.
C, A, B
B.
A, C, B
C.
B, A, C
D.
C, B, A
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Solution
The sequence C, A, B respects the order of dependencies.
Correct Answer:
A
— C, A, B
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Q. In a set of tasks where A must be completed before C, and C must be completed before D, which of the following sequences is invalid?
A.
A, C, D
B.
C, A, D
C.
A, D, C
D.
D, C, A
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Solution
The sequence C, A, D is invalid because C cannot be completed before A.
Correct Answer:
B
— C, A, D
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Q. In a set of tasks where A must be completed before D, and D must be completed before E, which of the following is a valid order?
A.
E, D, A
B.
A, D, E
C.
D, A, E
D.
A, E, D
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Solution
The order A, D, E respects the constraints that A is before D and D is before E.
Correct Answer:
B
— A, D, E
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Q. In a set of tasks where A must precede B and C must follow B, which of the following is a correct order?
A.
B, A, C
B.
A, C, B
C.
A, B, C
D.
C, B, A
Show solution
Solution
The order A, B, C respects the requirement that A precedes B and C follows B.
Correct Answer:
C
— A, B, C
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Q. In a set of tasks where task J must be completed before task K and task L can be done at any time, which of the following is a valid sequence?
A.
K, J, L
B.
J, K, L
C.
L, J, K
D.
J, L, K
Show solution
Solution
The sequence J, K, L respects the condition that J must be completed before K.
Correct Answer:
B
— J, K, L
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Q. In a set of tasks where task J must precede task K and task L can occur at any time, which of the following sequences is valid?
A.
K, J, L
B.
J, L, K
C.
L, K, J
D.
J, K, L
Show solution
Solution
The sequence J, L, K is valid as J is before K and L can occur anytime.
Correct Answer:
B
— J, L, K
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Q. In a set of tasks where task Q must be completed before task R, and task S can be done at any time, which of the following is a valid conclusion?
A.
R can start before Q.
B.
S must be completed before Q.
C.
Q must be completed before R, but S can be done anytime.
D.
R must be completed before S.
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Solution
Q must be completed before R, while S's timing is not dependent on Q or R.
Correct Answer:
C
— Q must be completed before R, but S can be done anytime.
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Q. In a shear stress-strain relationship, what does the slope of the linear portion represent?
A.
Young's modulus
B.
Shear modulus
C.
Bulk modulus
D.
Tensile strength
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Solution
The slope of the linear portion of the shear stress-strain curve represents the shear modulus of the material.
Correct Answer:
B
— Shear modulus
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Q. In a simple cubic lattice, how many atoms are effectively present in one unit cell? (2019)
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Solution
In a simple cubic lattice, there is 1 atom effectively present in one unit cell, as each corner atom contributes 1/8th of an atom to the unit cell.
Correct Answer:
A
— 1
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Q. In a simple cubic lattice, how many atoms are present in one unit cell? (2019)
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Solution
In a simple cubic lattice, there is 1 atom per unit cell (1/8 atom from each of the 8 corners).
Correct Answer:
A
— 1
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Q. In a simple harmonic motion, if the amplitude is halved, how does the total energy change?
A.
Remains the same
B.
Halves
C.
Doubles
D.
Quadruples
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Solution
Total energy E is proportional to the square of the amplitude. If amplitude is halved, energy is reduced to 1/4, hence it halves.
Correct Answer:
B
— Halves
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Q. In a simple harmonic motion, if the amplitude is increased, what happens to the total energy of the system?
A.
It decreases
B.
It remains the same
C.
It increases
D.
It becomes zero
Show solution
Solution
The total energy in simple harmonic motion is proportional to the square of the amplitude. If the amplitude increases, the total energy increases.
Correct Answer:
C
— It increases
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Q. In a simple harmonic motion, if the displacement is given by x(t) = A cos(ωt + φ), what is the phase constant φ?
A.
0
B.
π/2
C.
π
D.
Depends on initial conditions
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Solution
The phase constant φ depends on the initial conditions of the motion, such as the initial position and velocity.
Correct Answer:
D
— Depends on initial conditions
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Q. In a simple harmonic motion, if the mass is increased while keeping the spring constant constant, what happens to the period?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Doubles
Show solution
Solution
The period (T) increases with mass (T = 2π√(m/k)).
Correct Answer:
A
— Increases
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Q. In a simple harmonic motion, if the mass is increased, what happens to the period?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Depends on the spring constant
Show solution
Solution
The period T is given by T = 2π√(m/k). If m increases, T increases.
Correct Answer:
A
— Increases
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Q. In a simple harmonic motion, the acceleration is always directed towards which point? (2022)
A.
Equilibrium point
B.
Maximum displacement
C.
Minimum displacement
D.
None of the above
Show solution
Solution
In simple harmonic motion, the acceleration is always directed towards the equilibrium point, which is the position of rest.
Correct Answer:
A
— Equilibrium point
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Q. In a simple harmonic motion, the maximum displacement from the mean position is called what?
A.
Amplitude
B.
Frequency
C.
Wavelength
D.
Period
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Solution
The maximum displacement from the mean position in simple harmonic motion is called the amplitude.
Correct Answer:
A
— Amplitude
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Q. In a simple harmonic motion, the maximum displacement from the mean position is called?
A.
Amplitude
B.
Frequency
C.
Wavelength
D.
Period
Show solution
Solution
The maximum displacement from the mean position in simple harmonic motion is called Amplitude.
Correct Answer:
A
— Amplitude
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Q. In a simple harmonic motion, the maximum velocity occurs at which point? (2019)
A.
At the mean position
B.
At the extreme position
C.
At half the amplitude
D.
At the equilibrium position
Show solution
Solution
Maximum velocity occurs at the mean position where the displacement is zero.
Correct Answer:
A
— At the mean position
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Q. In a simple harmonic motion, the phase difference between displacement and acceleration is:
A.
0 degrees
B.
90 degrees
C.
180 degrees
D.
270 degrees
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Solution
Acceleration is always opposite to displacement in SHM, hence 180 degrees.
Correct Answer:
C
— 180 degrees
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Q. In a simple harmonic motion, the restoring force is directly proportional to the displacement. What is the nature of this force? (2022)
A.
Conservative
B.
Non-conservative
C.
Frictional
D.
Centrifugal
Show solution
Solution
The restoring force in SHM is a conservative force as it can do work and store energy.
Correct Answer:
A
— Conservative
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Q. In a simple harmonic motion, the restoring force is directly proportional to what?
A.
Displacement
B.
Velocity
C.
Acceleration
D.
Mass
Show solution
Solution
In SHM, the restoring force is directly proportional to the displacement from the mean position.
Correct Answer:
A
— Displacement
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Q. In a simple harmonic motion, the restoring force is directly proportional to which of the following?
A.
Displacement
B.
Velocity
C.
Acceleration
D.
Mass
Show solution
Solution
In simple harmonic motion, the restoring force is directly proportional to the displacement from the mean position.
Correct Answer:
A
— Displacement
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Q. In a simple harmonic motion, the velocity is maximum at which point?
A.
Mean position
B.
Amplitude
C.
Equilibrium position
D.
None of the above
Show solution
Solution
The velocity is maximum at the mean position where the displacement is zero.
Correct Answer:
A
— Mean position
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Q. In a simple harmonic motion, what is the relationship between the period and the mass of the oscillating object?
A.
Directly proportional
B.
Inversely proportional
C.
Independent
D.
Exponential
Show solution
Solution
In simple harmonic motion, the period is independent of mass for a given spring constant, but for a pendulum, it is independent of mass.
Correct Answer:
B
— Inversely proportional
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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!
