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 tan θ = 1, what is the value of sin θ?
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Solution
Since tan θ = sin θ / cos θ and tan θ = 1, we have sin θ = cos θ. For θ = 45°, sin θ = 1/√2.
Correct Answer:
A
— 1/√2
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Q. If tan θ = 1/√3, what is the value of sin θ?
A.
1/2
B.
√3/2
C.
1/√2
D.
√2/2
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Solution
Since tan θ = sin θ / cos θ, and tan θ = 1/√3, we can use the 30-60-90 triangle where sin θ = 1/2.
Correct Answer:
A
— 1/2
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Q. If tan(x) = 1, what is the value of sin(x) + cos(x)?
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Solution
If tan(x) = 1, then sin(x) = cos(x). Therefore, sin(x) + cos(x) = 2sin(x) = 2(1/√2) = √2.
Correct Answer:
A
— √2
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Q. If tan(x) = 1, what is the value of x in degrees?
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Solution
tan(45°) = 1, hence x = 45°.
Correct Answer:
A
— 45
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Q. If tan(x) = 3/4, what is sin(x)?
A.
3/5
B.
4/5
C.
5/3
D.
5/4
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Solution
Using the identity tan(x) = sin(x)/cos(x), we can find sin(x) = 3/5 after applying the Pythagorean theorem.
Correct Answer:
A
— 3/5
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Q. If tan(x) = 3/4, what is the value of sin(x)?
A.
3/5
B.
4/5
C.
1/5
D.
0
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Solution
Using the identity tan(x) = sin(x)/cos(x), we can find sin(x) = 3/5 after calculating the hypotenuse using the Pythagorean theorem.
Correct Answer:
A
— 3/5
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Q. If tan(θ) = 1, what is the value of θ in degrees?
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Solution
tan(θ) = 1 at θ = 45°.
Correct Answer:
B
— 45
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Q. If tan(θ) = 1, what is the value of θ? (2020)
A.
0°
B.
30°
C.
45°
D.
60°
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Solution
tan(45°) = 1, so θ = 45°.
Correct Answer:
C
— 45°
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Q. If tan(θ) = 3/4, what is the value of sin(θ)?
A.
3/5
B.
4/5
C.
5/5
D.
1
Show solution
Solution
Using the identity sin²(θ) + cos²(θ) = 1, we find sin(θ) = 3/5.
Correct Answer:
A
— 3/5
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Q. If tan^(-1)(x) = π/4, then the value of x is:
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Solution
tan^(-1)(x) = π/4 implies that x = tan(π/4) = 1.
Correct Answer:
B
— 1
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Q. If task A must be completed before task B, and task B must be completed before task C, which of the following is a correct sequence?
A.
C, B, A
B.
B, A, C
C.
A, C, B
D.
A, B, C
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Solution
A, B, C is the correct sequence as it respects the order of dependencies.
Correct Answer:
D
— A, B, C
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Q. If task B cannot start until task A is completed, which of the following is a logical conclusion?
A.
A must be completed after B.
B.
B can start at the same time as A.
C.
B can only start after A is completed.
D.
A and B can be completed simultaneously.
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Solution
The condition states that B cannot start until A is completed, making this the only valid conclusion.
Correct Answer:
C
— B can only start after A is completed.
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Q. If task B cannot start until task A is finished, and task C can start at the same time as task A, which of the following is true?
A.
B starts before A
B.
C starts after A
C.
C can start before B
D.
A and B can start simultaneously
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Solution
C can start before B since it is only dependent on A.
Correct Answer:
C
— C can start before B
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Q. If task B must be completed after task A and before task C, which of the following sequences is valid?
A.
C, B, A
B.
A, B, C
C.
B, A, C
D.
A, C, B
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Solution
The sequence A, B, C correctly places B after A and before C.
Correct Answer:
B
— A, B, C
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Q. If task C can only start after both tasks A and B are completed, which of the following is a correct statement?
A.
C can start before A and B.
B.
C can start after A or B.
C.
C can start only after A and B.
D.
C can start at the same time as A.
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Solution
C's start is contingent upon the completion of both A and B, making option 3 correct.
Correct Answer:
C
— C can start only after A and B.
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Q. If task C cannot start until both tasks A and B are completed, which of the following is a valid conclusion?
A.
C can start before A
B.
C can start before B
C.
C can start only after A and B
D.
C can start simultaneously with A
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Solution
C can only start after both A and B are completed, making the conclusion valid.
Correct Answer:
C
— C can start only after A and B
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Q. If task C is dependent on both tasks A and B being completed, which of the following is a correct statement?
A.
C can start before A and B.
B.
C can start after A or B.
C.
C can start only after A and B.
D.
C can start at the same time as A.
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Solution
C can only start after both A and B are completed, as it is dependent on them.
Correct Answer:
C
— C can start only after A and B.
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Q. If task C must be completed before task A, and task A must be completed before task D, which of the following is a correct inference?
A.
C can start after A
B.
D can start before A
C.
A can start before C
D.
D can start only after C
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Solution
D can only start after both A and C are completed, making the inference correct.
Correct Answer:
D
— D can start only after C
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Q. If task D must be completed before task E and task F can only start after task D, which of the following is true?
A.
E can start before D.
B.
F can start before E.
C.
D must be completed before both E and F.
D.
E must be completed before D.
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Solution
D must be completed before both E and F, as per the given conditions.
Correct Answer:
C
— D must be completed before both E and F.
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Q. If task E can only start after tasks A and D are completed, which of the following is a correct statement regarding the scheduling of these tasks?
A.
E can start before A and D.
B.
E can start after A or D.
C.
E can start only after both A and D are completed.
D.
E can start at any time.
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Solution
E can only start after both A and D are completed, as per the given condition.
Correct Answer:
C
— E can start only after both A and D are completed.
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Q. If task E cannot start until both tasks A and C are completed, which of the following statements is true?
A.
E can start before A
B.
E can start before C
C.
E can start after A and C
D.
E can start only after A or C
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Solution
E can only start after both A and C are completed, making the statement true.
Correct Answer:
C
— E can start after A and C
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Q. If task E is dependent on both tasks A and D being completed, which of the following is a correct statement?
A.
E can start before A
B.
E can start before D
C.
E can start only after A and D
D.
E can start after A or D
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Solution
E can only start after both A and D are completed, making this statement correct.
Correct Answer:
C
— E can start only after A and D
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Q. If task F can only begin after tasks G and H are completed, and task H can only begin after task I, which of the following is true?
A.
F can start before G.
B.
H can start before I.
C.
F can start after I.
D.
G can start after H.
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Solution
F can start after I because H must be completed after I, and G must be completed before F.
Correct Answer:
C
— F can start after I.
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Q. If task F cannot start until both tasks D and E are completed, which of the following is a correct statement?
A.
F can start before D
B.
F can start before E
C.
F can start after D and E
D.
F can start only after D or E
Show solution
Solution
F can only start after both D and E are completed, making the statement correct.
Correct Answer:
C
— F can start after D and E
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Q. If task F must be completed before task G and task H can only start after task F, which of the following is true?
A.
G can start before F.
B.
H can start before G.
C.
F must be completed before both G and H.
D.
G must be completed before F.
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Solution
F must be completed before both G and H according to the given constraints.
Correct Answer:
C
— F must be completed before both G and H.
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Q. If task F must be completed before task G, and task G must be completed before task H, which of the following is a valid sequence?
A.
H, G, F
B.
F, H, G
C.
F, G, H
D.
G, F, H
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Solution
The sequence F, G, H respects the order that F is before G and G is before H.
Correct Answer:
C
— F, G, H
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Q. If task F must be completed before task G, and task H can only start after task F, which of the following is a correct inference?
A.
G can start before F.
B.
H can start before G.
C.
F must be completed before both G and H.
D.
G must be completed before H.
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Solution
F must be completed before both G and H, as G depends on F and H starts after F.
Correct Answer:
C
— F must be completed before both G and H.
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Q. If task J cannot start until task K is finished, and task K cannot start until task L is finished, which of the following is a correct inference?
A.
J can start before L.
B.
K can start before J.
C.
L must be completed before J.
D.
J can start at the same time as K.
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Solution
L must be completed before J can start, as J is dependent on K, which is dependent on L.
Correct Answer:
C
— L must be completed before J.
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Q. If task M can only be done after task N and task O, which of the following sequences is valid?
A.
N, O, M
B.
M, N, O
C.
O, M, N
D.
N, M, O
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Solution
The sequence N, O, M is valid as M is done after both N and O.
Correct Answer:
A
— N, O, M
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Q. If task M can only start after task N and task O, which of the following is a correct implication?
A.
M can start before N.
B.
M can start before O.
C.
M can start only after both N and O.
D.
M can start at the same time as N.
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Solution
M can only start after both N and O are completed, as per the given condition.
Correct Answer:
C
— M can start only after both N and O.
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