Major Competitive Exams

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Major Competitive Exams

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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!

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Q. If Product D's sales increased by 50% in Q3, what would be its new sales figure?

A. 90
B. 120
C. 150
D. 180

Solution

Sales for Product D in Q3 = 100. Increase = 50% of 100 = 50. New sales = 100 + 50 = 150.

Correct Answer: C — 150

Q. If Q is sitting at the end of the row and R is sitting next to Q, who is sitting further from the center of the row?

A. Q
B. R
C. Both are equal
D. None of the above

Solution

Q is sitting further from the center since Q is at the end of the row.

Correct Answer: A — Q

Q. If Q is to the left of R and S is to the right of R, who is sitting in the middle?

A. Q
B. R
C. S
D. None of the above

Solution

R is in the middle as Q is to the left and S is to the right.

Correct Answer: B — R

Q. If R is a relation defined on set A = {1, 2, 3} such that R = {(1, 2), (2, 3)}, is R a function?

A. Yes
B. No
C. Depends on A
D. Not enough information

Solution

A relation is a function if every element in the domain (set A) maps to exactly one element in the codomain. Here, 1 maps to 2, and 2 maps to 3, but 3 has no mapping, so R is not a function.

Correct Answer: B — No

Q. If R is a relation on set A = {1, 2, 3} defined by R = {(1, 1), (2, 2), (3, 3)}, is R symmetric?

A. Yes
B. No
C. Depends on A
D. None of the above

Solution

A relation is symmetric if for every (a, b) in R, (b, a) is also in R. Since R only contains pairs of the form (a, a), it is symmetric.

Correct Answer: A — Yes

Q. If R is a relation on set A = {1, 2, 3} defined by R = {(1, 1), (2, 2), (3, 3)}, is R reflexive?

A. Yes
B. No
C. Depends on A
D. None of the above

Solution

A relation R is reflexive if every element in set A is related to itself. Since R contains (1, 1), (2, 2), and (3, 3), R is reflexive.

Correct Answer: A — Yes

Q. If R is a relation on set A = {1, 2, 3} defined by R = {(1, 2), (2, 3)}, is R transitive?

A. Yes
B. No
C. Not enough information
D. None of the above

Solution

A relation R is transitive if whenever (a, b) ∈ R and (b, c) ∈ R, then (a, c) must also be in R. Here, (1, 2) and (2, 3) are in R, but (1, 3) is not, so R is not transitive.

Correct Answer: B — No

Q. If R is a relation on the set A = {1, 2, 3} defined by R = {(1, 2), (2, 3), (3, 1)}, which of the following properties does R possess?

A. Reflexive
B. Symmetric
C. Transitive
D. All of the above

Solution

R is not reflexive as (1,1), (2,2), (3,3) are not in R. It is symmetric as (2,3) implies (3,2) is not in R. It is transitive as (1,2) and (2,3) implies (1,3) is not in R. Thus, R is not all of the above.

Correct Answer: C — Transitive

Q. If R is a relation on the set {1, 2, 3, 4} defined by R = {(1, 1), (2, 2), (3, 3), (4, 4), (1, 2), (2, 1)}, what type of relation is R?

A. Reflexive
B. Symmetric
C. Transitive
D. Both reflexive and symmetric

Solution

R is reflexive because it contains all pairs (a, a) and symmetric because (1,2) implies (2,1).

Correct Answer: D — Both reflexive and symmetric

Q. If R is a relation on the set {1, 2, 3} defined by R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 1)}, which of the following is true?

A. R is reflexive
B. R is symmetric
C. R is transitive
D. Both 1 and 2

Solution

R is reflexive and symmetric, but not transitive. Thus, both 1 and 2 are true.

Correct Answer: D — Both 1 and 2

Q. If R is a relation on the set {1, 2, 3} defined by R = {(1, 1), (2, 2), (3, 3), (1, 2)}, is R a partial order?

A. Yes
B. No
C. Only reflexive
D. Only transitive

Solution

R is not a partial order because it is not transitive; (1,2) and (2,2) do not imply (1,2).

Correct Answer: B — No

Q. If R is a relation on the set {a, b, c} defined by R = {(a, b), (b, c)}, what can be said about R?

A. Reflexive
B. Symmetric
C. Transitive
D. None of the above

Solution

R is neither reflexive, symmetric, nor transitive as it does not satisfy any of the properties.

Correct Answer: D — None of the above

Q. If R is a relation on the set {a, b, c} defined by R = {(a, b), (b, c)}, which property does R NOT have?

A. Reflexive
B. Symmetric
C. Transitive
D. None of the above

Solution

R is not symmetric as (b,c) does not imply (c,b) is in R. It is reflexive and transitive.

Correct Answer: B — Symmetric

Q. If R is a relation on the set {x, y, z} defined by R = {(x, y), (y, z), (z, x)}, what can be said about R?

A. Reflexive
B. Symmetric
C. Transitive
D. None of the above

Solution

R is neither reflexive, symmetric, nor transitive.

Correct Answer: D — None of the above

Q. If R is seated to the left of S and T is seated to the right of R, who is seated in the middle?

A. R
B. S
C. T
D. None of the above

Solution

The order is S, R, T. R is in the middle.

Correct Answer: A — R

Q. If R is sitting at the end of the table and S is sitting directly opposite R, who is sitting next to S?

A. T
B. U
C. V
D. None of the above

Solution

T is sitting next to S as R is at the end and S is opposite.

Correct Answer: A — T

Q. If R is sitting between S and T in a circular arrangement, and U is sitting opposite S, who is sitting next to U?

A. R
B. S
C. T
D. V

Solution

Since R is between S and T, and U is opposite S, T must be next to U.

Correct Answer: C — T

Q. If R is sitting to the left of S and T is sitting opposite R, who is sitting to the right of S?

A. R
B. S
C. T
D. U

Solution

Since R is to the left of S, R is also to the right of S, making R the one sitting to the right of S.

Correct Answer: A — R

Q. If R is to the right of S and T is to the left of S, which of the following is true?

A. R is to the left of T
B. S is in the middle
C. T is to the right of R
D. R is at the end

Solution

The arrangement is T, S, R. Thus, S is in the middle.

Correct Answer: B — S is in the middle

Q. If R1 = 10Ω, R2 = 15Ω, R3 = 5Ω, what should R4 be for the Wheatstone bridge to be balanced?

A. 7.5Ω
B. 10Ω
C. 12.5Ω
D. 15Ω

Solution

Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (15 * 5) / 10 = 7.5Ω.

Correct Answer: C — 12.5Ω

Q. If R1 = 10Ω, R2 = 20Ω, and R3 = 30Ω in a Wheatstone bridge, what should R4 be for the bridge to be balanced?

A. 15Ω
B. 20Ω
C. 25Ω
D. 30Ω

Solution

For balance, R1/R2 = R3/R4, thus R4 = (R2 * R3) / R1 = (20 * 30) / 10 = 60Ω.

Correct Answer: B — 20Ω

Q. If R1 = 10Ω, R2 = 20Ω, R3 = 30Ω, and R4 = 60Ω in a Wheatstone bridge, is the bridge balanced?

A. Yes
B. No
C. Depends on the voltage
D. Depends on the current

Solution

The bridge is not balanced because 10/20 ≠ 30/60.

Correct Answer: B — No

Q. If R1 = 2Ω, R2 = 3Ω, and R3 = 6Ω in a Wheatstone bridge, what is the value of R4 for balance?

A. 4Ω
B. 5Ω
C. 6Ω
D. 9Ω

Solution

Using the balance condition R1/R2 = R3/R4, we have 2/3 = 6/R4. Solving gives R4 = 4Ω.

Correct Answer: A — 4Ω

Q. If R1 = 2Ω, R2 = 3Ω, and R3 = 6Ω, what is the value of R4 for the Wheatstone bridge to be balanced?

A. 4Ω
B. 5Ω
C. 6Ω
D. 8Ω

Solution

Using the balance condition R1/R2 = R3/R4, we have 2/3 = 6/R4. Solving gives R4 = 4Ω.

Correct Answer: A — 4Ω

Q. If R1 = 5Ω, R2 = 10Ω, and R3 = 15Ω in a Wheatstone bridge, what is the value of R4 for balance?

A. 7.5Ω
B. 10Ω
C. 15Ω
D. 20Ω

Solution

Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (10 * 15) / 5 = 30Ω.

Correct Answer: B — 10Ω

Q. If R1 = 5Ω, R2 = 15Ω, R3 = 10Ω, what should R4 be for the Wheatstone bridge to be balanced?

A. 30Ω
B. 10Ω
C. 15Ω
D. 5Ω

Solution

For balance, R4 must be 30Ω since 5/15 = 10/30.

Correct Answer: B — 10Ω

Q. If S is seated to the left of T and U is seated to the right of T, who is in the middle?

A. S
B. T
C. U
D. None of the above

Solution

T is in the middle as S is to the left and U is to the right.

Correct Answer: B — T

Q. If S is sitting directly next to T and U is sitting across from S, who is sitting next to U?

A. T
B. S
C. V
D. W

Solution

V is sitting next to U since S is next to T and U is across from S.

Correct Answer: C — V

Q. If S is the aunt of T and T is the son of U, how is U related to S?

A. Sister
B. Brother
C. Husband
D. Brother-in-law

Solution

S is the aunt of T, meaning U is S's brother-in-law.

Correct Answer: D — Brother-in-law

Q. If S is the daughter of T and U is the son of T, how is S related to U? (2023)

A. Sister
B. Cousin
C. Aunt
D. Niece

Solution

S is the sister of U as they share the same parents, T.

Correct Answer: A — Sister

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