Q. Solve the inequality 7 - 3x > 1. What is the solution?
A.
x < 2
B.
x > 2
C.
x ≤ 2
D.
x ≥ 2
Show solution
Solution
7 - 3x > 1 => -3x > -6 => x > 2.
Correct Answer:
B
— x > 2
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Q. Solve the inequality 7 - 3x < 1. What is the solution?
A.
x < 2
B.
x > 2
C.
x < 3
D.
x > 3
Show solution
Solution
7 - 3x < 1 => -3x < -6 => x > 2.
Correct Answer:
B
— x > 2
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Q. Solve the inequality 7 - x < 2.
A.
x > 5
B.
x < 5
C.
x > 7
D.
x < 7
Show solution
Solution
7 - x < 2 => -x < -5 => x > 5.
Correct Answer:
A
— x > 5
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Q. Solve the inequality 7x + 2 < 3x + 10.
A.
x < 2
B.
x > 2
C.
x ≤ 2
D.
x ≥ 2
Show solution
Solution
7x + 2 < 3x + 10 => 4x < 8 => x < 2.
Correct Answer:
B
— x > 2
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Q. Solve the inequality 7x - 4 < 2x + 11. What is the solution?
A.
x < 3
B.
x > 3
C.
x ≤ 3
D.
x ≥ 3
Show solution
Solution
7x - 4 < 2x + 11 => 5x < 15 => x < 3.
Correct Answer:
B
— x > 3
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Q. Solve the inequality 7x - 5 < 2x + 10. What is the solution?
A.
x < 1
B.
x > 1
C.
x < 2
D.
x > 2
Show solution
Solution
7x - 5 < 2x + 10 => 5x < 15 => x < 3.
Correct Answer:
B
— x > 1
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Q. Solve the inequality 8 - x > 3.
A.
x < 5
B.
x > 5
C.
x < 3
D.
x > 3
Show solution
Solution
8 - x > 3 => -x > -5 => x < 5.
Correct Answer:
A
— x < 5
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Q. Solve the inequality x/3 + 2 > 1. What is the solution?
A.
x > -3
B.
x < -3
C.
x > 3
D.
x < 3
Show solution
Solution
x/3 + 2 > 1 => x/3 > -1 => x > -3.
Correct Answer:
C
— x > 3
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Q. Solve the inequality x/3 - 2 > 1. What is the solution set?
A.
x < 9
B.
x > 9
C.
x < 3
D.
x > 3
Show solution
Solution
x/3 - 2 > 1 => x/3 > 3 => x > 9.
Correct Answer:
B
— x > 9
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Q. Solve the inequality x/3 - 2 ≤ 1. What is the solution?
A.
x ≤ 9
B.
x ≥ 9
C.
x ≤ 3
D.
x ≥ 3
Show solution
Solution
x/3 - 2 ≤ 1 => x/3 ≤ 3 => x ≤ 9.
Correct Answer:
A
— x ≤ 9
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Q. Solve the inequality x/4 - 1 < 0.
A.
x < 4
B.
x > 4
C.
x ≤ 4
D.
x ≥ 4
Show solution
Solution
x/4 - 1 < 0 => x/4 < 1 => x < 4.
Correct Answer:
A
— x < 4
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Q. Solve the inequality: 4x + 1 ≥ 3.
A.
x ≥ 0.5
B.
x ≤ 0.5
C.
x ≥ 1
D.
x ≤ 1
Show solution
Solution
4x + 1 ≥ 3 => 4x ≥ 2 => x ≥ 0.5.
Correct Answer:
A
— x ≥ 0.5
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Q. Solve the inequality: 6 - x ≤ 2.
A.
x ≥ 4
B.
x ≤ 4
C.
x ≥ 6
D.
x ≤ 6
Show solution
Solution
6 - x ≤ 2 => -x ≤ -4 => x ≥ 4.
Correct Answer:
B
— x ≤ 4
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Q. Solve the system: 6x + 5y = 30 and 4x - 3y = 6. What is the value of x?
Show solution
Solution
From the first equation, 5y = 30 - 6x, so y = (30 - 6x)/5. Substituting into the second gives 4x - 3(30 - 6x)/5 = 6. Solving leads to x = 2.
Correct Answer:
B
— 2
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Q. Solve the system: 6x + 5y = 45 and 4x - 3y = 1. What is the value of y?
Show solution
Solution
From the first equation, 5y = 45 - 6x. Substituting into the second gives 4x - 3(45 - 6x)/5 = 1. Solving gives y = 5.
Correct Answer:
A
— 5
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Q. Solve the system: 6x + 5y = 45 and 4x - 3y = 7. What is the value of y?
Show solution
Solution
From the first equation, y = (45 - 6x)/5. Substituting into the second gives 4x - 3((45 - 6x)/5) = 7. Solving leads to y = 5.
Correct Answer:
A
— 5
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Q. Some birds can fly. All sparrows are birds. Therefore, some sparrows can fly. Is this conclusion valid? (2023)
A.
Yes
B.
No
C.
Only if all birds can fly
D.
Only if some birds are sparrows
Show solution
Solution
The conclusion is valid. Since all sparrows are birds and some birds can fly, it follows that some sparrows can fly.
Correct Answer:
A
— Yes
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Q. Some cars are red. All red things are fast. Therefore, some cars are fast. (2023)
A.
True
B.
False
C.
Cannot be determined
D.
None of the above
Show solution
Solution
The conclusion logically follows from the premises.
Correct Answer:
A
— True
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Q. Some cars are red. All red things are fast. Therefore, some cars are fast. Is this conclusion valid? (2023)
A.
Yes
B.
No
C.
Only if all cars are red
D.
Only if some fast things are cars
Show solution
Solution
The conclusion is valid. If some cars are red and all red things are fast, then it follows that some cars are fast.
Correct Answer:
A
— Yes
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Q. Some fruits are apples. All apples are sweet. Therefore, some fruits are sweet. (2023)
A.
True
B.
False
C.
Cannot be determined
D.
None of the above
Show solution
Solution
The conclusion logically follows from the premises.
Correct Answer:
A
— True
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Q. Some students are diligent. All diligent people succeed. Therefore, some students succeed. (2023)
A.
True
B.
False
C.
Cannot be determined
D.
None of the above
Show solution
Solution
The conclusion logically follows from the premises.
Correct Answer:
A
— True
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Q. Some students are diligent. All diligent people succeed. Therefore, some students succeed. Is this conclusion valid? (2023)
A.
Yes
B.
No
C.
Only if all students are diligent
D.
Only if some diligent people are students
Show solution
Solution
The conclusion is valid. If some students are diligent and all diligent people succeed, then it follows that some students succeed.
Correct Answer:
A
— Yes
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Q. Some teachers are strict. All strict people are disciplined. Therefore, some teachers are disciplined. Is this conclusion valid?
A.
Yes
B.
No
C.
Only if all teachers are strict
D.
Only if some disciplined people are teachers
Show solution
Solution
The conclusion is not valid because while some teachers are strict, it does not guarantee that those teachers are among the disciplined.
Correct Answer:
B
— No
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Q. Sorrow is to Joy as Pain is to ___
A.
Pleasure
B.
Happiness
C.
Comfort
D.
Relief
Show solution
Solution
Sorrow and joy are opposites, just as pain and pleasure are opposites.
Correct Answer:
A
— Pleasure
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Q. Spot the error in this sentence: 'Each student must submit their project by Friday.'
A.
No error
B.
Each student
C.
must submit
D.
their project
Show solution
Solution
The pronoun 'their' is often used informally, but traditionally it should be 'his or her' to match the singular 'Each student'.
Correct Answer:
D
— their project
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Q. Spot the error in this sentence: 'Everyone should do their best to succeed.'
A.
No error
B.
do
C.
their
D.
Everyone
Show solution
Solution
The pronoun 'their' is incorrect; it should be 'his or her' to match the singular 'Everyone'.
Correct Answer:
C
— their
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Q. Spot the error in this sentence: 'Neither of the answers are correct.'
A.
No error
B.
Neither
C.
are
D.
answers
Show solution
Solution
The correct verb should be 'is' because 'neither' is singular.
Correct Answer:
C
— are
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Q. Spot the error in this sentence: 'The informations provided were helpful.'
A.
The
B.
informations
C.
provided
D.
were
Show solution
Solution
'informations' should be 'information' as it is an uncountable noun.
Correct Answer:
B
— informations
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Q. Spot the error in this sentence: She sings good. (2021)
A.
A) She
B.
B) sings
C.
C) good
D.
D) .
Show solution
Solution
The correct word should be 'well' instead of 'good' as 'well' is the adverb that modifies the verb 'sings'.
Correct Answer:
C
— C) good
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Q. Spot the error: 'Each of the players have a unique skill.'
A.
Each
B.
of
C.
the players
D.
have
Show solution
Solution
The correct verb form is 'has' because 'each' is a singular subject.
Correct Answer:
D
— have
Learn More →
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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!
