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. Find the mode of the following set of numbers: 7, 8, 9, 9, 10, 10, 10, 11.
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Solution
The mode is 10, as it appears 3 times, which is more than any other number.
Correct Answer:
D
— 10
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Q. Find the mode of the following set of numbers: {10, 12, 10, 15, 10, 20, 15, 15, 25}.
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Solution
The number 10 appears 3 times and 15 appears 3 times. Both are modes, but since we need to choose one, we can say the mode is 10.
Correct Answer:
B
— 15
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Q. Find the mode of the following set: {7, 8, 8, 9, 10, 10, 10, 11}.
Show solution
Solution
The mode is 10, which appears 3 times, more than any other number.
Correct Answer:
D
— 10
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Q. Find the next number in the series: 2, 6, 12, 20, ... (2022)
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Solution
The pattern is n(n+1) where n = 1, 2, 3, 4. Next is 5(5+1) = 30.
Correct Answer:
B
— 32
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Q. Find the odd one out: 'Dog', 'Cat', 'Fish', 'Eagle'.
A.
Dog
B.
Cat
C.
Fish
D.
Eagle
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Solution
'Fish' is an aquatic animal, while the others are terrestrial.
Correct Answer:
C
— Fish
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Q. Find the odd one out: 'dog', 'cat', 'fish', 'elephant'.
A.
dog
B.
cat
C.
fish
D.
elephant
Show solution
Solution
'fish' is the odd one out as it is an aquatic animal, while the others are terrestrial.
Correct Answer:
C
— fish
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Q. Find the odd one out: 'Dog, Cat, Fish, Bird'.
A.
Dog
B.
Cat
C.
Fish
D.
Bird
Show solution
Solution
'Fish' is the only one that lives in water, while the others are land animals.
Correct Answer:
C
— Fish
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Q. Find the odd one out: 'red', 'blue', 'green', 'circle'.
A.
red
B.
blue
C.
green
D.
circle
Show solution
Solution
'circle' is the odd one out as it is a shape, while the others are colors.
Correct Answer:
D
— circle
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Q. Find the odd one out: (2022)
A.
Mercury
B.
Gold
C.
Silver
D.
Water
Show solution
Solution
Water is a liquid, while the others are metals.
Correct Answer:
D
— Water
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Q. Find the odd one out: 2, 3, 5, 7, 9, 11 (2021)
Show solution
Solution
All numbers except 9 are prime numbers.
Correct Answer:
D
— 9
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Q. Find the odd one out: blue, red, green, apple.
A.
blue
B.
red
C.
green
D.
apple
Show solution
Solution
Apple is a fruit, while the others are colors.
Correct Answer:
D
— apple
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Q. Find the odd one out: Dog, Cat, Rabbit, Car (2023)
A.
Dog
B.
Cat
C.
Rabbit
D.
Car
Show solution
Solution
Car is an inanimate object; the others are animals.
Correct Answer:
D
— Car
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Q. Find the odd one out: January, February, March, Sunday (2023)
A.
January
B.
February
C.
March
D.
Sunday
Show solution
Solution
Sunday is a day of the week; the others are months.
Correct Answer:
D
— Sunday
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Q. Find the odd one out: summer, winter, spring, bicycle.
A.
summer
B.
winter
C.
spring
D.
bicycle
Show solution
Solution
Bicycle is a mode of transportation, while the others are seasons.
Correct Answer:
D
— bicycle
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Q. Find the odd one out: teach, learn, study, play.
A.
teach
B.
learn
C.
study
D.
play
Show solution
Solution
Play is an activity unrelated to education, while the others are related to learning.
Correct Answer:
D
— play
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Q. Find the odd one out: teacher, student, classroom, book.
A.
teacher
B.
student
C.
classroom
D.
book
Show solution
Solution
Book is an inanimate object, while the others are related to people or places.
Correct Answer:
D
— book
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Q. Find the odd one out: winter, summer, autumn, Tuesday.
A.
winter
B.
summer
C.
autumn
D.
Tuesday
Show solution
Solution
Tuesday is a day of the week, while the others are seasons.
Correct Answer:
D
— Tuesday
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Q. Find the particular solution of dy/dx = 2x with the initial condition y(0) = 1.
A.
y = x^2 + 1
B.
y = x^2 - 1
C.
y = 2x + 1
D.
y = 2x - 1
Show solution
Solution
Integrating gives y = x^2 + C. Using the initial condition y(0) = 1, we find C = 1.
Correct Answer:
A
— y = x^2 + 1
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Q. Find the particular solution of dy/dx = 2y with the initial condition y(0) = 1.
A.
y = e^(2x)
B.
y = e^(2x) + 1
C.
y = 1 + e^(2x)
D.
y = e^(2x) - 1
Show solution
Solution
The general solution is y = Ce^(2x). Using the initial condition y(0) = 1 gives C = 1, so y = e^(2x).
Correct Answer:
A
— y = e^(2x)
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Q. Find the particular solution of dy/dx = 4y with the initial condition y(0) = 2.
A.
y = 2e^(4x)
B.
y = e^(4x)
C.
y = 4e^(x)
D.
y = 2e^(x)
Show solution
Solution
The general solution is y = Ce^(4x). Using the initial condition y(0) = 2, we find C = 2, thus y = 2e^(4x).
Correct Answer:
A
— y = 2e^(4x)
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Q. Find the particular solution of dy/dx = 4y, given y(0) = 2.
A.
y = 2e^(4x)
B.
y = e^(4x)
C.
y = 4e^(2x)
D.
y = 2e^(x/4)
Show solution
Solution
The general solution is y = Ce^(4x). Using the initial condition y(0) = 2, we find C = 2, thus y = 2e^(4x).
Correct Answer:
A
— y = 2e^(4x)
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Q. Find the particular solution of dy/dx = x + y, given y(0) = 1.
A.
y = e^x + 1
B.
y = e^x - 1
C.
y = x + 1
D.
y = x + e^x
Show solution
Solution
The general solution is y = e^x + C. Using the initial condition y(0) = 1, we find C = 1.
Correct Answer:
A
— y = e^x + 1
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Q. Find the point of inflection for f(x) = x^3 - 6x^2 + 9x. (2022)
A.
(1, 4)
B.
(2, 3)
C.
(3, 0)
D.
(0, 0)
Show solution
Solution
f''(x) = 6x - 12. Setting f''(x) = 0 gives x = 2. f(2) = 3.
Correct Answer:
C
— (3, 0)
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Q. Find the point of inflection for the function f(x) = x^3 - 6x^2 + 9x.
A.
(1, 4)
B.
(2, 3)
C.
(3, 0)
D.
(0, 0)
Show solution
Solution
f''(x) = 6x - 12. Setting f''(x) = 0 gives x = 2. The point of inflection is (2, f(2)) = (2, 3).
Correct Answer:
C
— (3, 0)
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Q. Find the point of inflection for the function f(x) = x^4 - 4x^3 + 6.
A.
(1, 3)
B.
(2, 2)
C.
(3, 1)
D.
(0, 6)
Show solution
Solution
f''(x) = 12x^2 - 24x. Setting f''(x) = 0 gives x(x - 2) = 0, so x = 0 or x = 2. The point of inflection is at (2, f(2)) = (2, 2).
Correct Answer:
A
— (1, 3)
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Q. Find the point of intersection of the lines 2x + 3y = 6 and x - y = 1. (2020)
A.
(0, 2)
B.
(2, 0)
C.
(1, 1)
D.
(3, 0)
Show solution
Solution
Solving the equations simultaneously, we find the intersection point is (1, 1).
Correct Answer:
C
— (1, 1)
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Q. Find the point of intersection of the lines 2x + y = 10 and x - y = 1. (2020)
A.
(3, 4)
B.
(4, 2)
C.
(2, 6)
D.
(5, 0)
Show solution
Solution
Solving the equations simultaneously, we find the intersection point is (3, 4).
Correct Answer:
A
— (3, 4)
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Q. Find the point of intersection of the lines y = 2x + 1 and y = -x + 4.
A.
(1, 3)
B.
(2, 5)
C.
(3, 7)
D.
(4, 9)
Show solution
Solution
Setting 2x + 1 = -x + 4 gives 3x = 3, thus x = 1. Substituting x back gives y = 3, so the point is (1, 3).
Correct Answer:
A
— (1, 3)
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Q. Find the point of intersection of the lines y = x + 1 and y = -x + 5.
A.
(2, 3)
B.
(3, 2)
C.
(1, 2)
D.
(0, 1)
Show solution
Solution
Set x + 1 = -x + 5. Solving gives x = 2, y = 3. Thus, the point is (2, 3).
Correct Answer:
A
— (2, 3)
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Q. Find the point of intersection of the lines y = x + 2 and y = -x + 4. (2023)
A.
(1, 3)
B.
(2, 4)
C.
(3, 5)
D.
(0, 2)
Show solution
Solution
Setting x + 2 = -x + 4 gives 2x = 2, so x = 1. Substituting x back gives y = 3. Thus, the point is (1, 3).
Correct Answer:
A
— (1, 3)
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