Major Competitive Exams

My Learning Cart

?

Welcome to

Soulshift

Categories

Account

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. If the perimeter of a triangle is 30 cm and the lengths of two sides are 10 cm and 12 cm, what is the length of the third side? (2020)

A. 8 cm
B. 10 cm
C. 12 cm
D. 14 cm

Solution

Let the third side be x. Then, 10 + 12 + x = 30, so x = 30 - 22 = 8 cm.

Correct Answer: A — 8 cm

Q. If the perimeter of an equilateral triangle is 36 cm, what is the length of each side?

A. 9 cm
B. 12 cm
C. 15 cm
D. 18 cm

Solution

In an equilateral triangle, all sides are equal. Therefore, if the perimeter is 36 cm, each side is 36/3 = 12 cm.

Correct Answer: B — 12 cm

Q. If the perimeter of an isosceles triangle is 24 cm and the length of the base is 8 cm, what is the length of each of the equal sides?

A. 8 cm
B. 10 cm
C. 12 cm
D. 6 cm

Solution

Let the length of each equal side be x. The perimeter is given by 2x + 8 = 24. Solving for x gives 2x = 16, so x = 8 cm.

Correct Answer: B — 10 cm

Q. If the perimeter of an isosceles triangle is 24 cm and the lengths of the two equal sides are 10 cm each, what is the length of the base?

A. 4 cm
B. 6 cm
C. 8 cm
D. 10 cm

Solution

The perimeter is the sum of all sides. Therefore, base = 24 - (10 + 10) = 4 cm.

Correct Answer: B — 6 cm

Q. If the perimeter of triangle DEF is 36 cm and the lengths of sides DE and EF are 10 cm and 12 cm respectively, what is the length of side DF? (2020)

A. 10 cm
B. 12 cm
C. 14 cm
D. 16 cm

Solution

Perimeter = DE + EF + DF. Therefore, DF = 36 - (10 + 12) = 14 cm.

Correct Answer: C — 14 cm

Q. If the period of a satellite in a circular orbit is T, what is the relationship between T and the radius r of the orbit?

A. T ∝ r
B. T ∝ r²
C. T ∝ √r
D. T ∝ 1/√r

Solution

T = 2π√(r³/GM), thus T ∝ √r.

Correct Answer: C — T ∝ √r

Q. If the pH of a river is measured to be 7.5, what type of water is it considered? (2020)

A. Acidic
B. Neutral
C. Alkaline
D. Distilled

Solution

A pH greater than 7 is considered alkaline.

Correct Answer: C — Alkaline

Q. If the pH of a river water is 8, what type of soil is likely to be found in the surrounding area?

A. Acidic soil
B. Neutral soil
C. Alkaline soil
D. Saline soil

Solution

A pH of 8 indicates alkaline soil.

Correct Answer: C — Alkaline soil

Q. If the pH of a solution is 11, what is the concentration of hydroxide ions [OH-] in the solution?

A. 1 x 10^-3 M
B. 1 x 10^-11 M
C. 1 x 10^-2 M
D. 1 x 10^-14 M

Solution

pOH = 14 - pH = 3, [OH-] = 10^-3 M.

Correct Answer: C — 1 x 10^-2 M

Q. If the pH of a solution is 3, what is the concentration of H+ ions? (2023)

A. 0.001 M
B. 0.01 M
C. 0.1 M
D. 0.0001 M

Solution

pH = 3 means [H+] = 10^-3 M = 0.001 M.

Correct Answer: B — 0.01 M

Q. If the pH of a solution is 3, what is the concentration of hydrogen ions [H+] in moles per liter?

A. 0.001 M
B. 0.01 M
C. 0.1 M
D. 1 M

Solution

The concentration of hydrogen ions [H+] is 10^(-pH) = 10^(-3) = 0.001 M.

Correct Answer: C — 0.1 M

Q. If the photoelectric effect is observed, what can be inferred about the incident light?

A. It has a frequency below the threshold
B. It has a frequency equal to the threshold
C. It has a frequency above the threshold
D. It has any frequency

Solution

The photoelectric effect occurs only when the frequency of the incident light is above the threshold frequency.

Correct Answer: C — It has a frequency above the threshold

Q. If the phrase 'to err is human' is paraphrased, which of the following is the best alternative?

A. Humans are prone to mistakes.
B. Only humans make errors.
C. Mistakes are a sign of humanity.
D. Humans never make mistakes.

Solution

The paraphrase captures the essence of the original phrase, emphasizing human fallibility.

Correct Answer: A — Humans are prone to mistakes.

Q. If the phrase 'to err is human' is paraphrased, which of the following options conveys the same meaning?

A. Humans are perfect.
B. Making mistakes is a human trait.
C. Only humans can make mistakes.
D. Humans never make mistakes.

Solution

The paraphrase captures the essence of the original phrase, emphasizing that making mistakes is a common human characteristic.

Correct Answer: B — Making mistakes is a human trait.

Q. If the phrase 'to err is human' is rephrased, which of the following is the best alternative?

A. Humans are prone to mistakes.
B. Only humans make errors.
C. Mistakes are a sign of humanity.
D. Humans never make mistakes.

Solution

The rephrased statement captures the essence of the original phrase.

Correct Answer: A — Humans are prone to mistakes.

Q. If the phrase 'to pull someone's leg' means to tease or joke with someone, what is the synonym of 'tease'?

A. Annoy
B. Bother
C. Mock
D. Praise

Solution

'Mock' is a synonym of 'tease', as both involve making fun of someone.

Correct Answer: C — Mock

Q. If the phrase 'to pull someone's leg' means to tease someone, which of the following is a synonym for this idiom?

A. To annoy
B. To joke
C. To criticize
D. To support

Solution

To joke is a synonym for teasing someone.

Correct Answer: B — To joke

Q. If the phrase 'to sit on the fence' means to remain neutral, which of the following is a synonym?

A. To take sides
B. To be indecisive
C. To be assertive
D. To be confrontational

Solution

Being indecisive is synonymous with remaining neutral, as it implies not making a decision.

Correct Answer: B — To be indecisive

Q. If the pKa of acetic acid is 4.76, what is the pH of a 0.1 M solution?

A. 4.76
B. 5.76
C. 6.76
D. 3.76

Solution

For a weak acid, pH ≈ pKa for a 0.1 M solution, so pH ≈ 4.76.

Correct Answer: A — 4.76

Q. If the point (x, y) lies on the line 3x - 4y = 12, what is the value of y when x = 4? (2023)

A. 0
B. 3
C. 4
D. 2

Solution

Substituting x = 4 gives 3(4) - 4y = 12 => 12 - 4y = 12 => y = 0.

Correct Answer: D — 2

Q. If the point (x, y) lies on the line 4x - 5y = 20, what is the value of y when x = 0?

A. 4
B. 5
C. 0
D. -4

Solution

Substituting x = 0: 4(0) - 5y = 20 => -5y = 20 => y = -4.

Correct Answer: B — 5

Q. If the points (1, 2), (3, 4), and (5, 6) are collinear, what is the slope of the line?

A. 1
B. 2
C. 0
D. undefined

Solution

Slope = (4-2)/(3-1) = 1, and it remains the same for other points.

Correct Answer: A — 1

Q. If the points A(1, 2), B(3, 4), and C(5, 6) are collinear, what is the area of triangle ABC?

A. 0
B. 1
C. 2
D. 3

Solution

Area = 1/2 | x1(y2-y3) + x2(y3-y1) + x3(y1-y2) | = 0.

Correct Answer: A — 0

Q. If the polynomial equation x^3 - 6x^2 + 11x - 6 = 0 has roots a, b, and c, what is the value of a + b + c? (2021)

A. 6
B. 11
C. 3
D. 0

Solution

By Vieta's formulas, the sum of the roots (a + b + c) of the polynomial x^3 - 6x^2 + 11x - 6 is equal to the coefficient of x^2 with the opposite sign, which is 6.

Correct Answer: A — 6

Q. If the polynomial f(x) = x^3 - 3x^2 + 4 is evaluated at x = 1, what is the result?

A. 2
B. 0
C. 1
D. 4

Solution

Evaluating f(1) gives 1^3 - 3(1^2) + 4 = 1 - 3 + 4 = 2.

Correct Answer: A — 2

Q. If the polynomial f(x) = x^3 - 6x^2 + 11x - 6 is factored, which of the following is one of its factors?

A. x - 1
B. x + 2
C. x - 3
D. x + 1

Solution

The polynomial can be factored as (x - 1)(x - 2)(x - 3), so x - 1 is one of its factors.

Correct Answer: A — x - 1

Q. If the polynomial f(x) = x^4 - 4x^3 + 6x^2 - 4x + 1 is evaluated at x = 1, what is the result?

A. 1
B. 0
C. 2
D. 3

Solution

Substituting x = 1 into the polynomial gives f(1) = 1 - 4 + 6 - 4 + 1 = 0.

Correct Answer: A — 1

Q. If the polynomial f(x) = x^4 - 4x^3 + 6x^2 - 4x + 1, what can be inferred about its symmetry?

A. It is symmetric about the y-axis.
B. It is symmetric about the x-axis.
C. It is symmetric about the origin.
D. It is symmetric about the line x = 1.

Solution

The polynomial can be rewritten in a form that shows symmetry about the line x = 1.

Correct Answer: D — It is symmetric about the line x = 1.

Q. If the polynomial g(x) = x^2 + bx + c has a double root, what can be inferred about its discriminant?

A. It is greater than zero.
B. It is less than zero.
C. It is equal to zero.
D. It can be any value.

Solution

A polynomial has a double root when its discriminant is equal to zero.

Correct Answer: C — It is equal to zero.

Q. If the polynomial g(x) = x^2 + bx + c has roots -2 and 3, what is the value of b?

A. 1
B. -1
C. 5
D. -5

Solution

Using Vieta's formulas, the sum of the roots (-2 + 3) = 1, which means b = -1.

Correct Answer: C — 5

Showing 11611 to 11640 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