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 equation of the parabola with focus at (0, 2) and directrix y = -2.
A.
x^2 = 8y
B.
y^2 = 8x
C.
y^2 = -8x
D.
x^2 = -8y
Show solution
Solution
The vertex is at (0, 0) and p = 2. The equation is y^2 = 4px, which gives y^2 = 8x.
Correct Answer:
A
— x^2 = 8y
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Q. Find the equation of the parabola with vertex at (2, 3) and focus at (2, 5).
A.
y = (1/4)(x - 2)^2 + 3
B.
y = (1/4)(x - 2)^2 - 3
C.
y = (1/4)(x + 2)^2 + 3
D.
y = (1/4)(x + 2)^2 - 3
Show solution
Solution
The vertex form of a parabola is given by (x - h)^2 = 4p(y - k). Here, h = 2, k = 3, and p = 1 (distance from vertex to focus). Thus, the equation is (x - 2)^2 = 4(1)(y - 3) or y = (1/4)(x - 2)^2 + 3.
Correct Answer:
A
— y = (1/4)(x - 2)^2 + 3
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Q. Find the equation of the tangent line to the curve y = x^2 + 2x at the point where x = 1.
A.
y = 3x - 2
B.
y = 2x + 1
C.
y = 2x + 2
D.
y = x + 3
Show solution
Solution
f'(x) = 2x + 2. At x = 1, f'(1) = 4. The point is (1, 3). The tangent line is y - 3 = 4(x - 1) => y = 4x - 1.
Correct Answer:
A
— y = 3x - 2
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Q. Find the error in this sentence: 'Each of the players have their own locker.'
A.
No error
B.
have
C.
their
D.
Each
Show solution
Solution
'Each' is singular, so it should be 'has' instead of 'have'.
Correct Answer:
B
— have
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Q. Find the error in this sentence: 'Either the teacher or the students is responsible for the project.'
A.
No error
B.
Either should be replaced with Neither
C.
Is should be replaced with are
D.
Responsible should be replaced with responsibles
Show solution
Solution
The sentence is correct as 'is' agrees with the nearest subject 'students' (plural) when 'either/or' is used.
Correct Answer:
A
— No error
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Q. Find the error in this sentence: 'Either the teacher or the students was responsible for the project.'
A.
No error
B.
Either the teacher
C.
or the students
D.
was responsible
Show solution
Solution
When using 'either/or', the verb should agree with the nearest subject, which is 'students', so it should be 'were'.
Correct Answer:
D
— was responsible
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Q. Find the error in this sentence: 'Neither of the answers are correct.' (2023)
A.
A. Neither
B.
B. of the answers
C.
C. are
D.
D. correct
Show solution
Solution
The correct form is 'is' instead of 'are' because 'Neither' is singular.
Correct Answer:
C
— C. are
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Q. Find the error in this sentence: 'Neither the manager nor the employees was present at the meeting.'
A.
No error
B.
Neither should be replaced with Either
C.
Was should be replaced with were
D.
The meeting should be replaced with the conference
Show solution
Solution
When 'neither/nor' is used, the verb should agree with the nearest subject, which is 'employees' (plural), so it should be 'were'.
Correct Answer:
C
— Was should be replaced with were
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Q. Find the error in this sentence: 'She don't like to play football.'
A.
She
B.
don't
C.
like
D.
to
Show solution
Solution
The correct form is 'She doesn't like to play football.' The contraction 'don't' should be 'doesn't' for third person singular.
Correct Answer:
B
— don't
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Q. Find the error in this sentence: 'She go to the market every Saturday.' (2023)
A.
A. She
B.
B. go
C.
C. to the market
D.
D. every Saturday
Show solution
Solution
The correct form is 'goes' instead of 'go' for the subject 'She'.
Correct Answer:
B
— B. go
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Q. Find the error in this sentence: 'The team are winning the match.'
A.
The
B.
team
C.
are
D.
winning
Show solution
Solution
The correct form is 'The team is winning the match.' 'Team' is a collective noun and takes a singular verb.
Correct Answer:
C
— are
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Q. Find the error in this sentence: Each of the players have done their best. (2020)
A.
A) Each
B.
B) of
C.
C) players
D.
D) have
Show solution
Solution
The correct verb should be 'has' instead of 'have' because 'each' is singular.
Correct Answer:
D
— D) have
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Q. Find the error: 'Each student must submit their assignment by Friday.'
A.
No error
B.
must
C.
submit
D.
their
Show solution
Solution
The pronoun 'their' is incorrect; it should be 'his or her' to match the singular 'Each student'.
Correct Answer:
D
— their
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Q. Find the error: 'Everyone should do their best to succeed.'
A.
No error
B.
do
C.
their
D.
succeed
Show solution
Solution
'Everyone' is singular, so it should be 'his or her' instead of 'their'.
Correct Answer:
C
— their
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Q. Find the error: 'He is more taller than his brother.'
A.
He
B.
is
C.
more
D.
taller
Show solution
Solution
'more' is unnecessary; it should just be 'taller'.
Correct Answer:
C
— more
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Q. Find the error: 'She can sings very well.' (2023)
A.
A. She
B.
B. can
C.
C. sings
D.
D. very well
Show solution
Solution
The correct form is 'sing' instead of 'sings' after 'can'.
Correct Answer:
C
— C. sings
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Q. Find the error: 'She don't like coffee.'
A.
She
B.
don't
C.
like
D.
coffee
Show solution
Solution
'Don't' should be 'doesn't' because 'she' is third person singular. The correct sentence is 'She doesn't like coffee.'
Correct Answer:
B
— don't
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Q. Find the error: 'She don't like to play tennis.'
A.
She
B.
don't
C.
like
D.
to
Show solution
Solution
The correct form is 'She doesn't like to play tennis.' The contraction 'don't' should be 'doesn't' for third person singular.
Correct Answer:
B
— don't
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Q. Find the error: 'The committee have made their decision.'
A.
The committee
B.
have
C.
made
D.
their
Show solution
Solution
The correct verb form is 'has' because 'committee' is a collective noun treated as singular.
Correct Answer:
B
— have
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Q. Find the error: 'The team are winning the match.'
A.
The
B.
team
C.
are
D.
winning
Show solution
Solution
The correct verb form is 'is' because 'team' is a collective noun treated as singular.
Correct Answer:
C
— are
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Q. Find the error: 'The team have won the championship last year.'
A.
No error
B.
have
C.
won
D.
last year
Show solution
Solution
'Have' should be 'has' because 'team' is treated as a singular noun.
Correct Answer:
B
— have
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Q. Find the error: 'The team have won the championship.'
A.
The
B.
team
C.
have
D.
won
Show solution
Solution
'Have' should be 'has' because 'team' is a collective noun treated as singular.
Correct Answer:
C
— have
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Q. Find the error: Everyone have their own opinion. (2019)
A.
A) Everyone
B.
B) have
C.
C) their
D.
D) own
Show solution
Solution
The correct verb should be 'has' instead of 'have' because 'everyone' is treated as singular.
Correct Answer:
B
— B) have
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Q. Find the error: Neither of the answers are correct. (2023)
A.
A) Neither
B.
B) of
C.
C) answers
D.
D) are
Show solution
Solution
The correct verb should be 'is' instead of 'are' because 'neither' is singular.
Correct Answer:
D
— D) are
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Q. Find the family of curves represented by the equation y = mx + c, where m and c are constants.
A.
Straight lines with varying slopes and intercepts
B.
Parabolas with varying vertices
C.
Circles with varying radii
D.
Ellipses with varying axes
Show solution
Solution
The equation y = mx + c represents straight lines where m is the slope and c is the y-intercept.
Correct Answer:
A
— Straight lines with varying slopes and intercepts
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Q. Find the figure that can be obtained by folding the paper shown.
A.
Figure X
B.
Figure Y
C.
Figure Z
D.
Figure W
Show solution
Solution
Figure Z can be obtained by folding the paper along the dotted lines.
Correct Answer:
C
— Figure Z
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Q. Find the figure that does not belong to the group.
Show solution
Solution
Figure S has a different number of sides compared to the others.
Correct Answer:
D
— S
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Q. Find the figure that does not fit the sequence.
Show solution
Solution
All options are directional arrows except ▲ and ▼ which are triangles.
Correct Answer:
C
— ◀
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Q. Find the figure that is similar to the given figure.
Show solution
Solution
Option D has the same angles and proportions as the given figure.
Correct Answer:
D
— D
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Q. Find the focus of the parabola defined by the equation x^2 = 12y.
A.
(0, 3)
B.
(0, -3)
C.
(3, 0)
D.
(-3, 0)
Show solution
Solution
The equation x^2 = 12y can be rewritten as (y - 0) = (1/3)(x - 0)^2, indicating the focus is at (0, 3).
Correct Answer:
A
— (0, 3)
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