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. If a new study finds that reading fiction improves empathy, which of the following can be inferred?
A.
Reading fiction is the only way to develop empathy.
B.
People who read fiction are more empathetic than those who do not.
C.
All forms of reading improve empathy.
D.
Empathy can be developed through various means, including reading fiction.
Show solution
Solution
The study suggests that reading fiction can help develop empathy, but it does not claim it is the only method or that all reading has the same effect.
Correct Answer:
D
— Empathy can be developed through various means, including reading fiction.
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Q. If a number in base 4 is represented as '210', what is its equivalent in base 10?
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Solution
'210' in base 4 = 2*4^2 + 1*4^1 + 0*4^0 = 32.
Correct Answer:
A
— 32
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Q. If a number in base 5 is represented as '243', what is its equivalent in decimal?
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Solution
'243' in base 5 is calculated as 2*5^2 + 4*5^1 + 3*5^0 = 50 + 20 + 3 = 73.
Correct Answer:
C
— 62
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Q. If a number in base 5 is represented as '320', what is its decimal equivalent? (2023)
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Solution
The decimal equivalent of '320' in base 5 is calculated as (3 * 5^2) + (2 * 5^1) + (0 * 5^0) = 75 + 10 + 0 = 80.
Correct Answer:
B
— 80
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Q. If a number in base 5 is represented as 243, what is its decimal equivalent? (2023)
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Solution
The decimal equivalent of the base 5 number 243 is calculated as 2*5^2 + 4*5^1 + 3*5^0 = 50 + 20 + 3 = 60.
Correct Answer:
A
— 60
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Q. If a number in base 8 is represented as '57', what is its equivalent in base 10?
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Solution
'57' in base 8 = 5*8^1 + 7*8^0 = 40 + 7 = 47 in decimal.
Correct Answer:
B
— 49
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Q. If a number in base-3 is represented as '210', what is its decimal equivalent?
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Solution
'210' in base-3 is 2*3^2 + 1*3^1 + 0*3^0 = 18 + 3 + 0 = 21.
Correct Answer:
B
— 19
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Q. If a number in base-6 is represented as '54', what is its decimal equivalent?
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Solution
'54' in base 6 is calculated as 5*6^1 + 4*6^0 = 30 + 4 = 34.
Correct Answer:
B
— 32
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Q. If a number in base-6 is represented as 405, what is its decimal equivalent?
A.
145
B.
150
C.
155
D.
160
Show solution
Solution
To convert from base-6 to decimal, calculate 4*6^2 + 0*6^1 + 5*6^0 = 4*36 + 0 + 5 = 144 + 5 = 149.
Correct Answer:
B
— 150
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Q. If a number is a factor of 100, which of the following cannot be a factor?
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Solution
75 is not a factor of 100.
Correct Answer:
D
— 75
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Q. If a number is a factor of 24 and a multiple of 3, which of the following could be that number?
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Solution
6 is a factor of 24 and also a multiple of 3.
Correct Answer:
A
— 6
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Q. If a number is a factor of 24 and a multiple of 3, which of the following is the smallest such number?
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Solution
The smallest number that is both a factor of 24 and a multiple of 3 is 3.
Correct Answer:
A
— 3
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Q. If a number is a factor of 36 and a multiple of 4, which of the following numbers could it be?
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Solution
12 is a factor of 36 and also a multiple of 4, as 12 = 4 * 3.
Correct Answer:
B
— 12
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Q. If a number is a factor of 36, which of the following numbers is NOT a factor?
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Solution
All options are factors of 36 except for 9, which is a factor but not a multiple of 4.
Correct Answer:
D
— 9
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Q. If a number is a multiple of 15, which of the following cannot be true?
A.
It is a multiple of 3.
B.
It is a multiple of 5.
C.
It is an even number.
D.
It is a multiple of 30.
Show solution
Solution
A multiple of 15 is not guaranteed to be even, as 15 itself is odd.
Correct Answer:
C
— It is an even number.
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Q. If a number is a multiple of 15, which of the following must also be true?
A.
It is a multiple of 3.
B.
It is a multiple of 5.
C.
It is a multiple of 10.
D.
Both 1 and 2.
Show solution
Solution
Since 15 = 3 × 5, any multiple of 15 must also be a multiple of both 3 and 5.
Correct Answer:
D
— Both 1 and 2.
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Q. If a number is a multiple of 7 and 9, which of the following numbers could it be? (2023)
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Solution
63 is a multiple of both 7 and 9 (7*9=63), while the others are not.
Correct Answer:
A
— 63
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Q. If a number is a multiple of 8 and 12, which of the following is the smallest such number? (2023)
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Solution
The least common multiple of 8 and 12 is 24, making it the smallest number that is a multiple of both.
Correct Answer:
A
— 24
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Q. If a number is a multiple of 8, which of the following must also be true?
A.
It is a multiple of 4.
B.
It is a multiple of 2.
C.
It is an even number.
D.
All of the above.
Show solution
Solution
All statements are true as multiples of 8 are also multiples of 4, 2, and are even.
Correct Answer:
D
— All of the above.
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Q. If a number is a multiple of 9 and less than 100, what is the largest such number?
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Solution
The largest multiple of 9 less than 100 is 81.
Correct Answer:
A
— 81
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Q. If a number is a multiple of 9, which of the following must also be true?
A.
It is a multiple of 3.
B.
It is a multiple of 27.
C.
It is a prime number.
D.
It is an even number.
Show solution
Solution
All multiples of 9 are also multiples of 3.
Correct Answer:
A
— It is a multiple of 3.
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Q. If a number is a multiple of both 3 and 4, which of the following is guaranteed to be true?
A.
It is a multiple of 7.
B.
It is a multiple of 12.
C.
It is a multiple of 10.
D.
It is a multiple of 9.
Show solution
Solution
The least common multiple of 3 and 4 is 12, so any multiple of both must also be a multiple of 12.
Correct Answer:
B
— It is a multiple of 12.
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Q. If a number is a multiple of both 3 and 5, what is the smallest number greater than 10?
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Solution
The smallest multiple of both 3 and 5 greater than 10 is 15.
Correct Answer:
A
— 15
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Q. If a number is a multiple of both 4 and 6, which of the following must also be true?
A.
It is a multiple of 12.
B.
It is a multiple of 24.
C.
It is a multiple of 10.
D.
It is a multiple of 8.
Show solution
Solution
The least common multiple of 4 and 6 is 12, so any number that is a multiple of both must also be a multiple of 12.
Correct Answer:
A
— It is a multiple of 12.
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Q. If a number is a multiple of both 4 and 6, which of the following must it also be a multiple of?
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Solution
The least common multiple of 4 and 6 is 12, so any multiple of both must also be a multiple of 12.
Correct Answer:
A
— 12
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Q. If a number is a multiple of both 5 and 7, what is the smallest such number?
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Solution
The smallest multiple of both 5 and 7 is 35.
Correct Answer:
A
— 35
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Q. If a number is a multiple of both 5 and 7, which of the following is a possible value for this number?
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Solution
35 is a multiple of both 5 and 7 (5*7=35).
Correct Answer:
A
— 35
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Q. If a number is a multiple of both 5 and 7, which of the following is true?
A.
It is a multiple of 35.
B.
It is a multiple of 12.
C.
It is a multiple of 10.
D.
It is a multiple of 14.
Show solution
Solution
The least common multiple of 5 and 7 is 35, so any number that is a multiple of both must also be a multiple of 35.
Correct Answer:
A
— It is a multiple of 35.
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Q. If a number is a multiple of both 5 and 9, what is the smallest such number?
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Solution
The smallest multiple of both 5 and 9 is 45.
Correct Answer:
B
— 90
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Q. If a number is a multiple of both 7 and 9, which of the following numbers is a possible candidate?
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Solution
63 is a multiple of both 7 (7x9) and 9 (9x7).
Correct Answer:
A
— 63
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