Major Competitive Exams

My Learning Cart

Major Competitive Exams

Download Q&A

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!

Civil Services Defence Exams Engineering & Architecture Admissions Government Jobs Management Admissions Undergraduate

Q. For the quadratic equation x^2 - 10x + 25 = 0, what is the double root?

A. 5
B. 10
C. 0
D. 25

Solution

The equation can be factored as (x-5)^2 = 0, hence the double root is x = 5.

Correct Answer: A — 5

Q. For the quadratic equation x^2 - 4x + 4 = 0, what type of roots does it have? (2019)

A. Real and distinct
B. Real and equal
C. Complex
D. None of the above

Solution

The discriminant is 0, indicating that the roots are real and equal.

Correct Answer: B — Real and equal

Q. For the quadratic equation x^2 - 6x + k = 0 to have equal roots, what must be the value of k?

A. 6
B. 9
C. 12
D. 0

Solution

Setting the discriminant to zero: (-6)^2 - 4*1*k = 0 gives k = 9.

Correct Answer: B — 9

Q. For the quadratic equation x^2 - 6x + k = 0 to have one root equal to 3, what is the value of k? (2023)

A. 3
B. 6
C. 9
D. 12

Solution

If one root is 3, then substituting x = 3 gives 3^2 - 6*3 + k = 0, leading to k = 9.

Correct Answer: C — 9

Q. For the quadratic equation x^2 - 8x + 15 = 0, what are the roots? (2023)

A. 3 and 5
B. 2 and 6
C. 1 and 7
D. 4 and 4

Solution

The roots can be found by factorization: (x - 3)(x - 5) = 0, hence the roots are 3 and 5.

Correct Answer: A — 3 and 5

Q. For the quadratic equation x² + 2x + k = 0 to have real roots, what is the condition on k? (2021)

A. k ≥ 1
B. k ≤ 1
C. k > 1
D. k < 1

Solution

The discriminant must be non-negative: 2² - 4*1*k ≥ 0, which simplifies to k ≤ 1.

Correct Answer: B — k ≤ 1

Q. For the quadratic equation x² + 6x + k = 0 to have no real roots, what must be the value of k? (2021)

A. k < 9
B. k > 9
C. k = 9
D. k ≤ 9

Solution

The discriminant must be less than zero: 6² - 4*1*k < 0, which simplifies to k > 9.

Correct Answer: B — k > 9

Q. For the quadratic equation x² + 6x + k = 0 to have real roots, what is the minimum value of k? (2021)

A. -9
B. -6
C. 0
D. 6

Solution

The discriminant must be non-negative: 6² - 4*1*k ≥ 0, thus k ≤ 9. The minimum value of k is -9.

Correct Answer: A — -9

Q. For the quantum state with n=3, l=1, how many possible values can m_l take?

A. 1
B. 2
C. 3
D. 5

Solution

For l=1, m_l can take values -1, 0, 1, which gives 3 possible values.

Correct Answer: C — 3

Q. For the reaction 2A ⇌ B + C, if the initial concentration of A is 0.5 M and at equilibrium, the concentration of B is 0.2 M, what is the equilibrium concentration of A?

A. 0.1 M
B. 0.2 M
C. 0.3 M
D. 0.4 M

Solution

At equilibrium, [A] = 0.5 - 0.2 = 0.3 M.

Correct Answer: D — 0.4 M

Q. For the reaction 2A ⇌ B + C, if the initial concentration of A is 0.5 M and at equilibrium, [B] = 0.2 M, what is the equilibrium concentration of A?

A. 0.1 M
B. 0.2 M
C. 0.3 M
D. 0.4 M

Solution

At equilibrium, 0.5 - 0.2 = 0.3 M of A remains.

Correct Answer: D — 0.4 M

Q. For the reaction 2A(g) ⇌ B(g) + C(g), if the concentration of B is increased, what will happen to the equilibrium?

A. Shift to the left
B. Shift to the right
C. No shift
D. Depends on temperature

Solution

Increasing the concentration of a product shifts the equilibrium to the left to counteract the change.

Correct Answer: A — Shift to the left

Q. For the reaction 2NO(g) + O2(g) ⇌ 2NO2(g), if the initial concentrations are [NO]=0.5 M and [O2]=0.5 M, what will be the equilibrium concentration of NO2 if Kc=4?

A. 0.1 M
B. 0.2 M
C. 0.3 M
D. 0.4 M

Solution

Using ICE table and Kc expression, we find [NO2] at equilibrium to be 0.2 M.

Correct Answer: B — 0.2 M

Q. For the reaction 2SO2(g) + O2(g) ⇌ 2SO3(g), if the concentration of SO2 is doubled, what happens to the equilibrium constant?

A. It doubles
B. It remains the same
C. It halves
D. It quadruples

Solution

The equilibrium constant Kc is only affected by temperature, not by changes in concentration.

Correct Answer: B — It remains the same

Q. For the reaction 2SO2(g) + O2(g) ⇌ 2SO3(g), if the volume of the container is decreased, what will happen to the equilibrium? (2021)

A. Shift to the right
B. Shift to the left
C. No change
D. Depends on the temperature

Solution

Decreasing the volume increases the pressure, and the equilibrium will shift towards the side with fewer moles of gas, which is the right side (2 moles of SO3).

Correct Answer: A — Shift to the right

Q. For the reaction 2SO2(g) + O2(g) ⇌ 2SO3(g), what happens if the volume of the container is decreased? (2021)

A. Equilibrium shifts to the left
B. Equilibrium shifts to the right
C. No change
D. Depends on temperature

Solution

Decreasing the volume increases the pressure, and according to Le Chatelier's principle, the equilibrium will shift towards the side with fewer moles of gas, which is the right side in this case.

Correct Answer: B — Equilibrium shifts to the right

Q. For the reaction 2SO2(g) + O2(g) ⇌ 2SO3(g), what happens to the equilibrium if the volume of the container is decreased? (2022)

A. Equilibrium shifts to the left
B. Equilibrium shifts to the right
C. No effect on equilibrium
D. Equilibrium constant changes

Solution

Decreasing the volume increases the pressure, and according to Le Chatelier's principle, the equilibrium will shift towards the side with fewer moles of gas, which is the right side (2 moles of SO3).

Correct Answer: B — Equilibrium shifts to the right

Q. For the reaction 2SO2(g) + O2(g) ⇌ 2SO3(g), what happens to the equilibrium position if SO3 is removed from the system? (2023)

A. The equilibrium shifts to the left
B. The equilibrium shifts to the right
C. The equilibrium remains unchanged
D. The reaction stops

Solution

Removing SO3 will decrease its concentration, causing the system to shift to the right to produce more SO3 in order to re-establish equilibrium, according to Le Chatelier's principle.

Correct Answer: B — The equilibrium shifts to the right

Q. For the reaction 2SO2(g) + O2(g) ⇌ 2SO3(g), what is the effect of decreasing the volume? (2021)

A. The equilibrium shifts to the left.
B. The equilibrium shifts to the right.
C. The equilibrium remains unchanged.
D. The reaction stops.

Solution

Decreasing the volume increases the pressure, and according to Le Chatelier's principle, the equilibrium will shift towards the side with fewer moles of gas, which is the right side in this case.

Correct Answer: B — The equilibrium shifts to the right.

Q. For the reaction 2SO2(g) + O2(g) ⇌ 2SO3(g), what will happen if the volume of the container is increased? (2020) 2020

A. Equilibrium shifts to the right
B. Equilibrium shifts to the left
C. No change in equilibrium
D. Reaction stops

Solution

Increasing the volume decreases the pressure, and according to Le Chatelier's principle, the equilibrium will shift to the side with more moles of gas, which is the left side in this case.

Correct Answer: B — Equilibrium shifts to the left

Q. For the reaction 4H2(g) + 2O2(g) ⇌ 4H2O(g), what is the change in Gibbs free energy at equilibrium?

A. Positive
B. Negative
C. Zero
D. Depends on temperature

Solution

At equilibrium, the change in Gibbs free energy (ΔG) is zero.

Correct Answer: C — Zero

Q. For the reaction 4HCl(g) ⇌ 2H2(g) + Cl2(g), what is the effect of adding HCl on the equilibrium?

A. Shift to the left
B. Shift to the right
C. No effect
D. Depends on the temperature

Solution

Adding more HCl will increase the concentration of reactants, causing the equilibrium to shift to the left to consume the added HCl.

Correct Answer: A — Shift to the left

Q. For the reaction A + B ⇌ C + D, if the concentration of C is decreased, what will be the effect on the equilibrium?

A. Shift to the right
B. Shift to the left
C. No change
D. Increase in temperature

Solution

Decreasing the concentration of C will shift the equilibrium to the right to produce more C and D.

Correct Answer: A — Shift to the right

Q. For the reaction A(g) + B(g) ⇌ C(g), if the concentration of C is increased, what will be the effect on the equilibrium? (2020)

A. Shift to the left
B. Shift to the right
C. No effect
D. Increase the rate of reaction

Solution

Increasing the concentration of a product (C) will shift the equilibrium to the left to counteract the change, according to Le Chatelier's principle.

Correct Answer: A — Shift to the left

Q. For the reaction A(g) ⇌ B(g) + C(g), if the concentration of B is increased, what will be the effect on the equilibrium? (2020)

A. Shift to the right
B. Shift to the left
C. No effect
D. Increase in temperature

Solution

Increasing the concentration of B will shift the equilibrium to the left to counteract the change, according to Le Chatelier's principle.

Correct Answer: B — Shift to the left

Q. For the reaction A(g) ⇌ B(g), if the concentration of A is increased, what will happen to the concentration of B at equilibrium?

A. Increase
B. Decrease
C. Remain the same
D. Cannot be determined

Solution

Increasing the concentration of A will shift the equilibrium to the right, resulting in an increase in the concentration of B.

Correct Answer: A — Increase

Q. For the reaction A(g) ⇌ B(g), if the concentration of B is increased, what will happen to the concentration of A at equilibrium?

A. Increase
B. Decrease
C. Remain the same
D. Cannot be determined

Solution

According to Le Chatelier's principle, increasing the concentration of a product will shift the equilibrium to the left, decreasing the concentration of A.

Correct Answer: B — Decrease

Q. For the reaction CO(g) + 2H2(g) ⇌ CH3OH(g), what is the effect of increasing the concentration of H2?

A. Shifts equilibrium to the right
B. Shifts equilibrium to the left
C. No effect
D. Increases the rate of reaction

Solution

Increasing the concentration of H2 will shift the equilibrium to the right to produce more CH3OH, according to Le Chatelier's principle.

Correct Answer: A — Shifts equilibrium to the right

Q. For the reaction CO(g) + 2H2(g) ⇌ CH3OH(g), what will happen if H2 is removed from the system?

A. Shifts to the right
B. Shifts to the left
C. No change
D. Increases the rate of reaction

Solution

Removing a reactant (H2) will shift the equilibrium position to the left to produce more reactants.

Correct Answer: B — Shifts to the left

Q. For the reaction CO(g) + 2H2(g) ⇌ CH3OH(g), what will happen if the concentration of H2 is increased?

A. Equilibrium shifts to the left
B. Equilibrium shifts to the right
C. No change
D. Rate of reaction decreases

Solution

Increasing the concentration of H2 will shift the equilibrium to the right to produce more CH3OH, according to Le Chatelier's principle.

Correct Answer: B — Equilibrium shifts to the right

Showing 6331 to 6360 of 31669 (1056 Pages)

Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely