Q. In a numeral system where the digits are 0, 1, 2, 3, and 4, what is the value of '34' in decimal?
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Solution
'34' in base 5 is calculated as 3*5^1 + 4*5^0 = 15 + 4 = 19.
Correct Answer:
C
— 16
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Q. In a numeral system, what does the term 'base' refer to? (2023)
A.
The number of unique digits used.
B.
The maximum value of a digit.
C.
The total number of digits in a number.
D.
The position of a digit in a number.
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Solution
The term 'base' refers to the number of unique digits used in a numeral system.
Correct Answer:
A
— The number of unique digits used.
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Q. In a numeral system, what does the term 'place value' refer to?
A.
The value of a digit based on its position.
B.
The total value of all digits combined.
C.
The maximum value a numeral can represent.
D.
The number of digits in a numeral.
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Solution
Place value refers to the value of a digit based on its position in a numeral.
Correct Answer:
A
— The value of a digit based on its position.
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Q. In a p-n junction diode, what happens when it is forward biased?
A.
Depletion region widens
B.
Current flows easily
C.
No current flows
D.
Reverse breakdown occurs
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Solution
When a p-n junction diode is forward biased, the depletion region narrows, allowing current to flow easily through the junction.
Correct Answer:
B
— Current flows easily
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Q. In a p-n junction diode, what happens when it is reverse-biased?
A.
Current flows freely
B.
Depletion region widens
C.
Holes move towards the n-side
D.
Electrons move towards the p-side
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Solution
When a p-n junction diode is reverse-biased, the depletion region widens, preventing current flow.
Correct Answer:
B
— Depletion region widens
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Q. In a p-n junction, what happens when the junction is forward biased? (2019)
A.
Depletion region widens
B.
Depletion region narrows
C.
No current flows
D.
Reverse current increases
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Solution
When a p-n junction is forward biased, the depletion region narrows, allowing current to flow.
Correct Answer:
B
— Depletion region narrows
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Q. In a p-n junction, what is formed at the junction region?
A.
Electric field
B.
Magnetic field
C.
Thermal field
D.
Gravitational field
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Solution
An electric field is formed at the p-n junction due to the diffusion of charge carriers.
Correct Answer:
A
— Electric field
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Q. In a p-n junction, what is the region called where no charge carriers are present?
A.
Depletion region
B.
Conduction band
C.
Valence band
D.
Neutral zone
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Solution
The depletion region is the area around the p-n junction where charge carriers are depleted, creating an electric field.
Correct Answer:
A
— Depletion region
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Q. In a p-n junction, what is the region called where no charge carriers exist?
A.
Depletion region
B.
Conduction band
C.
Valence band
D.
Neutral zone
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Solution
The depletion region is the area around the p-n junction where charge carriers have recombined, leaving behind immobile ions.
Correct Answer:
A
— Depletion region
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Q. In a p-n junction, which type of charge carriers are majority carriers in the p-type region? (2019)
A.
Electrons
B.
Holes
C.
Protons
D.
Neutrons
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Solution
In the p-type region of a p-n junction, holes are the majority charge carriers.
Correct Answer:
B
— Holes
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Q. In a p-n junction, which type of charge carriers are predominant in the p-type region? (2019)
A.
Electrons
B.
Holes
C.
Protons
D.
Neutrons
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Solution
In a p-type region, holes are the predominant charge carriers.
Correct Answer:
B
— Holes
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Q. In a painting competition, 3 out of 15 paintings were awarded prizes. What is the ratio of awarded paintings to total paintings?
A.
1:3
B.
1:5
C.
1:4
D.
1:6
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Solution
Ratio = 3 awarded / 15 total = 1:5.
Correct Answer:
B
— 1:5
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Q. In a painting competition, the first prize is awarded to 1 out of 10 participants. What is the probability of winning the first prize?
A.
1/10
B.
1/5
C.
1/2
D.
1/20
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Solution
Probability = 1 / 10.
Correct Answer:
A
— 1/10
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Q. In a pair of alternate exterior angles, if one angle measures 120 degrees, what is the measure of the other angle? (2021)
A.
60 degrees
B.
120 degrees
C.
180 degrees
D.
90 degrees
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Solution
Alternate exterior angles are equal when two parallel lines are cut by a transversal. Therefore, if one angle is 120 degrees, the other alternate exterior angle is also 120 degrees.
Correct Answer:
B
— 120 degrees
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Q. In a pair of complementary angles, if one angle measures 30 degrees, what is the measure of the other angle?
A.
50 degrees
B.
60 degrees
C.
70 degrees
D.
80 degrees
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Solution
Complementary angles sum up to 90 degrees. Therefore, the other angle = 90 - 30 = 60 degrees.
Correct Answer:
B
— 60 degrees
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Q. In a pair of intersecting lines, if one angle measures 35 degrees, what is the measure of the adjacent angle?
A.
145 degrees
B.
35 degrees
C.
180 degrees
D.
90 degrees
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Solution
Adjacent angles on a straight line are supplementary. Therefore, the adjacent angle measures 180 - 35 = 145 degrees.
Correct Answer:
A
— 145 degrees
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Q. In a pair of supplementary angles, if one angle measures 110 degrees, what is the measure of the other angle? (2021)
A.
70 degrees
B.
80 degrees
C.
90 degrees
D.
100 degrees
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Solution
Supplementary angles sum up to 180 degrees. Therefore, the other angle is 180 - 110 = 70 degrees.
Correct Answer:
A
— 70 degrees
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Q. In a pair of vertically opposite angles, if one angle measures 120 degrees, what is the measure of the other angle? (2021)
A.
60 degrees
B.
120 degrees
C.
180 degrees
D.
90 degrees
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Solution
Vertically opposite angles are equal. Therefore, if one angle measures 120 degrees, the other angle also measures 120 degrees.
Correct Answer:
B
— 120 degrees
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Q. In a Panchayat election, 80% of the voters cast their votes. If there are 2000 voters, how many did not vote?
A.
200
B.
400
C.
300
D.
500
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Solution
Voters who did not vote = 20% of 2000 = 0.2 * 2000 = 400.
Correct Answer:
B
— 400
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Q. In a parallel circuit with three resistors of 2Ω, 3Ω, and 6Ω, what is the equivalent resistance?
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Solution
The equivalent resistance for resistors in parallel is given by 1/R_eq = 1/R1 + 1/R2 + 1/R3. Thus, 1/R_eq = 1/2 + 1/3 + 1/6 = 1. Therefore, R_eq = 1Ω.
Correct Answer:
B
— 2Ω
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Q. In a parallel circuit with three resistors of 6 ohms, 12 ohms, and 18 ohms, what is the equivalent resistance?
A.
3 ohms
B.
4 ohms
C.
2 ohms
D.
1 ohm
Show solution
Solution
Using the formula for resistors in parallel, 1/R_eq = 1/R1 + 1/R2 + 1/R3, we find R_eq = 1 / (1/6 + 1/12 + 1/18) = 3 ohms.
Correct Answer:
A
— 3 ohms
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Q. In a parallel circuit with three resistors of values 2Ω, 3Ω, and 6Ω, what is the equivalent resistance?
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Solution
1/R_eq = 1/R1 + 1/R2 + 1/R3 = 1/2 + 1/3 + 1/6 = 1. Therefore, R_eq = 3Ω.
Correct Answer:
C
— 3Ω
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Q. In a parallel circuit with three resistors of values 6 ohms, 3 ohms, and 2 ohms, what is the equivalent resistance?
A.
1.5 ohms
B.
2 ohms
C.
2.5 ohms
D.
3 ohms
Show solution
Solution
The formula for equivalent resistance in parallel is 1/R_eq = 1/R1 + 1/R2 + 1/R3. Thus, 1/R_eq = 1/6 + 1/3 + 1/2 = 1/6 + 2/6 + 3/6 = 6/6 = 1, so R_eq = 1 ohm.
Correct Answer:
C
— 2.5 ohms
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Q. In a parallel circuit with three resistors R1 = 2Ω, R2 = 3Ω, and R3 = 6Ω, what is the equivalent resistance?
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Solution
The equivalent resistance in parallel is given by 1/R_total = 1/R1 + 1/R2 + 1/R3. Thus, 1/R_total = 1/2 + 1/3 + 1/6 = 1Ω.
Correct Answer:
A
— 1Ω
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Q. In a parallel circuit with two resistors of 4 ohms and 6 ohms, what is the equivalent resistance?
A.
2.4 ohms
B.
10 ohms
C.
24 ohms
D.
12 ohms
Show solution
Solution
For parallel resistors, 1/R_eq = 1/R1 + 1/R2. Thus, 1/R_eq = 1/4 + 1/6 = 5/12, so R_eq = 12/5 = 2.4 ohms.
Correct Answer:
A
— 2.4 ohms
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Q. In a parallel circuit with two resistors of 4 ohms and 6 ohms, what is the total current if the voltage across the circuit is 12 V?
A.
2 A
B.
3 A
C.
4 A
D.
5 A
Show solution
Solution
First, find the equivalent resistance: 1/R_eq = 1/4 + 1/6 => R_eq = 2.4 ohms. Then, I = V/R_eq = 12 V / 2.4 ohms = 5 A.
Correct Answer:
B
— 3 A
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Q. In a parallel circuit with two resistors of 4 ohms and 6 ohms, what is the total current if the voltage across the circuit is 12V?
A.
2 A
B.
3 A
C.
4 A
D.
5 A
Show solution
Solution
First, find the equivalent resistance: 1/R_eq = 1/4 + 1/6 => R_eq = 2.4 ohms. Then, I = V/R_eq = 12V / 2.4Ω = 5 A.
Correct Answer:
B
— 3 A
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Q. In a parallel circuit with two resistors of 4Ω and 12Ω, what is the total current if the voltage across the circuit is 24V? (2022)
Show solution
Solution
First, find the equivalent resistance: 1/R_eq = 1/4 + 1/12 = 3/12 + 1/12 = 4/12, R_eq = 3Ω. Then, I = V/R_eq = 24V / 3Ω = 8A.
Correct Answer:
C
— 8A
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Q. In a parallel circuit with two resistors of 4Ω and 12Ω, what is the total current if the voltage across them is 24V? (2022)
Show solution
Solution
Total current I = V/R_eq. First, find R_eq = 1/(1/4 + 1/12) = 3Ω. Then, I = 24V / 3Ω = 8A.
Correct Answer:
A
— 6A
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Q. In a parallel circuit with two resistors of 4Ω and 6Ω, what is the total current if the voltage across the circuit is 12V?
Show solution
Solution
First, find the equivalent resistance: 1/R_eq = 1/4 + 1/6 => R_eq = 2.4Ω. Then, I = V/R_eq = 12V / 2.4Ω = 5A.
Correct Answer:
B
— 3A
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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!
