Q. In the polynomial 4x^3 - 2x^2 + x - 5, what is the coefficient of x^2?
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Solution
The coefficient of x^2 in the polynomial 4x^3 - 2x^2 + x - 5 is -2.
Correct Answer:
B
— -2
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Q. In the polynomial 5x^4 - 3x^3 + 2x^2 - x + 7, what is the coefficient of the x^2 term?
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Solution
The coefficient of the x^2 term in the polynomial is 2.
Correct Answer:
C
— 2
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Q. In the polynomial expression 4x^3 - 2x^2 + x - 5, which term is the constant term?
A.
4x^3
B.
-2x^2
C.
x
D.
-5
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Solution
The constant term in a polynomial is the term that does not contain any variables, which in this case is -5.
Correct Answer:
D
— -5
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Q. In the polynomial expression 4x^3 - 3x^2 + 2x - 1, which term is the constant term?
A.
4x^3
B.
-3x^2
C.
2x
D.
-1
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Solution
The constant term in a polynomial is the term that does not contain any variable, which in this case is -1.
Correct Answer:
D
— -1
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Q. In the polynomial f(x) = 2x^3 - 3x^2 + x - 5, what is the coefficient of x^2?
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Solution
The coefficient of x^2 in the polynomial f(x) = 2x^3 - 3x^2 + x - 5 is -3.
Correct Answer:
B
— -3
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Q. In the polynomial f(x) = 2x^4 - 3x^3 + x - 5, what is the coefficient of x^3?
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Solution
The coefficient of x^3 in the polynomial f(x) = 2x^4 - 3x^3 + x - 5 is -3.
Correct Answer:
A
— -3
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Q. In the polynomial h(x) = 4x^3 - 2x^2 + 3, what is the constant term?
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Solution
The constant term in the polynomial h(x) = 4x^3 - 2x^2 + 3 is 3.
Correct Answer:
C
— 3
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Q. In the polynomial k(x) = 2x^4 - 3x^3 + 0x^2 + 5, what is the term with the highest degree?
A.
2x^4
B.
-3x^3
C.
0x^2
D.
5
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Solution
The term with the highest degree in the polynomial k(x) is 2x^4, as it has the highest exponent.
Correct Answer:
A
— 2x^4
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Q. In the polynomial P(x) = 3x^4 - 2x^3 + x - 7, what is the constant term?
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Solution
The constant term in the polynomial P(x) is the term that does not contain any variable, which is -7.
Correct Answer:
D
— -7
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Q. In the polynomial P(x) = 4x^3 - 2x^2 + x - 7, what is the constant term?
Show solution
Solution
The constant term in the polynomial P(x) is -7.
Correct Answer:
D
— -7
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Q. In the polynomial P(x) = 5x^4 - 2x^3 + x - 7, what is the constant term?
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Solution
The constant term in the polynomial P(x) is -7.
Correct Answer:
D
— -7
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Q. In the quadratic equation 3x^2 - 12x + 9 = 0, what is the nature of the roots?
A.
Two distinct real roots
B.
One real root
C.
Two complex roots
D.
No roots
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Solution
The discriminant is zero (0), indicating one real root (a repeated root).
Correct Answer:
B
— One real root
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Q. In the quadratic equation x^2 + 6x + 9 = 0, what type of roots does it have?
A.
Real and distinct
B.
Real and equal
C.
Complex
D.
Imaginary
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Solution
The discriminant is zero, indicating that the roots are real and equal.
Correct Answer:
B
— Real and equal
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Q. In the quadratic equation x² + 6x + 9 = 0, what is the nature of the roots?
A.
Real and distinct
B.
Real and equal
C.
Complex
D.
Imaginary
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Solution
The discriminant is 0 (b² - 4ac = 0), indicating that the roots are real and equal.
Correct Answer:
B
— Real and equal
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Q. In the reaction 2Ag+ + Zn → 2Ag + Zn2+, what is the oxidation state of zinc after the reaction?
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Solution
Zinc (Zn) is oxidized to Zn2+, so its oxidation state is +2.
Correct Answer:
B
— +2
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Q. In the reaction 2Ag+ + Zn → 2Ag + Zn2+, which species is oxidized?
A.
Ag+
B.
Zn
C.
Ag
D.
Zn2+
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Solution
Zinc (Zn) is oxidized to Zn2+.
Correct Answer:
B
— Zn
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Q. In the reaction 2Ag+ + Zn → 2Ag + Zn2+, which species is reduced?
A.
Ag+
B.
Zn
C.
Ag
D.
Zn2+
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Solution
Ag+ is reduced as it gains electrons to form Ag.
Correct Answer:
A
— Ag+
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Q. In the reaction 2Ag+ + Zn → 2Ag + Zn^2+, which element is oxidized? (2020)
A.
Ag
B.
Zn
C.
O
D.
None of the above
Show solution
Solution
In this reaction, zinc (Zn) is oxidized as it loses electrons to form Zn^2+.
Correct Answer:
B
— Zn
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Q. In the reaction 2AgNO3 + Cu → 2Ag + Cu(NO3)2, what is the oxidation state of silver in AgNO3?
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Solution
In AgNO3, silver has an oxidation state of +1.
Correct Answer:
A
— +1
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Q. In the reaction 2Ag^+ + Zn → 2Ag + Zn^2+, what is the oxidation state change for zinc?
A.
0 to +2
B.
+2 to 0
C.
+2 to +1
D.
0 to -1
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Solution
Zinc is oxidized from an oxidation state of 0 to +2.
Correct Answer:
A
— 0 to +2
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Q. In the reaction 2Ag⁺ + Zn → 2Ag + Zn²⁺, which species is reduced? (2023)
A.
Ag⁺
B.
Zn
C.
Ag
D.
Zn²⁺
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Solution
In this reaction, Ag⁺ gains electrons to form Ag, thus it is reduced.
Correct Answer:
A
— Ag⁺
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Q. In the reaction 2Cr2O7^2- + 14H+ + 6e^- → 4Cr^3+ + 7H2O, what is the role of Cr2O7^2-?
A.
Oxidizing agent
B.
Reducing agent
C.
Neutral agent
D.
None of the above
Show solution
Solution
Cr2O7^2- is reduced to Cr^3+, making it the oxidizing agent.
Correct Answer:
A
— Oxidizing agent
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Q. In the reaction 2Fe + 3Cl2 → 2FeCl3, how many grams of FeCl3 can be produced from 10 g of Fe?
A.
20 g
B.
30 g
C.
40 g
D.
50 g
Show solution
Solution
10 g of Fe = 0.18 moles. 2 moles of Fe produce 2 moles of FeCl3. 0.18 moles of FeCl3 = 0.18 * 162.5 g = 29.25 g.
Correct Answer:
C
— 40 g
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Q. In the reaction 2Fe + 3Cl2 → 2FeCl3, how many grams of FeCl3 can be produced from 4 grams of Fe?
A.
12 g
B.
20 g
C.
30 g
D.
40 g
Show solution
Solution
4 g of Fe = 0.071 moles. 0.071 moles of Fe produce 0.071 * 2 = 0.142 moles of FeCl3 = 0.142 * 162.5 g = 23 g.
Correct Answer:
B
— 20 g
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Q. In the reaction 2Fe + 3Cl2 → 2FeCl3, how many grams of FeCl3 can be produced from 4 moles of Fe?
A.
315.5 g
B.
267 g
C.
200 g
D.
150 g
Show solution
Solution
4 moles of Fe produce 4 moles of FeCl3. Mass of FeCl3 = 4 moles * 162.5 g/mole = 650 g.
Correct Answer:
A
— 315.5 g
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Q. In the reaction 2Fe + 3Cl2 → 2FeCl3, how many moles of Cl2 are needed to react with 4 moles of Fe?
A.
3 moles
B.
6 moles
C.
4 moles
D.
2 moles
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Solution
According to the stoichiometry, 2 moles of Fe require 3 moles of Cl2. Therefore, 4 moles of Fe will require 6 moles of Cl2.
Correct Answer:
B
— 6 moles
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Q. In the reaction 2Fe + 3Cl2 → 2FeCl3, how many moles of FeCl3 are produced from 4 moles of Fe? (2021)
A.
2 moles
B.
4 moles
C.
6 moles
D.
8 moles
Show solution
Solution
From 2 moles of Fe, 2 moles of FeCl3 are produced. Therefore, from 4 moles of Fe, 4 moles of FeCl3 are produced.
Correct Answer:
B
— 4 moles
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Q. In the reaction 2Fe + 3Cl2 → 2FeCl3, which element is oxidized?
A.
Fe
B.
Cl2
C.
FeCl3
D.
None of the above
Show solution
Solution
Iron (Fe) is oxidized as it loses electrons to form FeCl3.
Correct Answer:
A
— Fe
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Q. In the reaction 2Fe2O3 + 3C → 4Fe + 3CO2, what is being oxidized?
A.
Fe2O3
B.
C
C.
Fe
D.
CO2
Show solution
Solution
Carbon (C) is being oxidized to carbon dioxide (CO2).
Correct Answer:
B
— C
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Q. In the reaction 2Fe2O3 + 3C → 4Fe + 3CO2, what is being reduced?
A.
Fe2O3
B.
C
C.
Fe
D.
CO2
Show solution
Solution
Fe2O3 is being reduced to Fe as it gains electrons.
Correct Answer:
A
— Fe2O3
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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!
