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!
Q. If 80% of a group like sports, 50% like music, and 30% like both, what percentage like only sports?
A.
50%
B.
30%
C.
20%
D.
80%
Show solution
Solution
The percentage of people who like only sports is 80% - 30% = 50%.
Correct Answer:
A
— 50%
Learn More →
Q. If 80% of a population likes tea, 60% likes coffee, and 30% likes both, what percentage likes at least one of the two?
A.
50%
B.
60%
C.
80%
D.
100%
Show solution
Solution
Using inclusion-exclusion, the percentage liking at least one is 80% + 60% - 30% = 110%, which is capped at 100%.
Correct Answer:
C
— 80%
Learn More →
Q. If 8b + 16 = 48, what is the value of b? (2023)
Show solution
Solution
8b + 16 = 48 => 8b = 32 => b = 4.
Correct Answer:
A
— 4
Learn More →
Q. If 8x ≡ 4 (mod 12), what is the value of x?
Show solution
Solution
Dividing both sides by 4 gives 2x ≡ 1 (mod 3). The solution is x = 2.
Correct Answer:
B
— 2
Learn More →
Q. If 8^(x) = 64, what is the value of x?
Show solution
Solution
64 = 8^2, so x = 2.
Correct Answer:
B
— 2
Learn More →
Q. If 9x + 4y = 36 and 2x + 3y = 12, what is the value of y?
Show solution
Solution
From the second equation, 3y = 12 - 2x. Substituting into the first gives 9x + 4(12 - 2x)/3 = 36. Solving gives y = 3.
Correct Answer:
B
— 3
Learn More →
Q. If 9x + 4y = 50 and 2x - 3y = -1, what is the value of x?
Show solution
Solution
From the second equation, 2x = -1 + 3y, so x = (-1 + 3y)/2. Substituting into the first gives 9((-1 + 3y)/2) + 4y = 50. Solving leads to x = 2.
Correct Answer:
A
— 2
Learn More →
Q. If A > B and B > C, which of the following is true?
A.
A > C
B.
C > A
C.
B < A
D.
C < B
Show solution
Solution
If A > B and B > C, then by transitive property, A > C is true.
Correct Answer:
A
— A > C
Learn More →
Q. If a < 5 and b > 2, which of the following must be true?
A.
a + b < 7
B.
a - b < 3
C.
a * b < 10
D.
a / b < 3
Show solution
Solution
Since a < 5 and b > 2, a / b can be less than 3 if a is close to 5 and b is just above 2. The other options do not hold true in all cases.
Correct Answer:
D
— a / b < 3
Learn More →
Q. If A < B and B ≤ C, which of the following is true?
A.
A < C
B.
C < A
C.
B < A
D.
C = B
Show solution
Solution
Since A < B and B ≤ C, it follows that A < C.
Correct Answer:
A
— A < C
Learn More →
Q. If a + b = 10 and ab = 21, what are the values of a and b?
A.
3 and 7
B.
4 and 6
C.
5 and 5
D.
2 and 8
Show solution
Solution
The roots of the equation x^2 - 10x + 21 = 0 are found using the quadratic formula, yielding a = 3 and b = 7.
Correct Answer:
A
— 3 and 7
Learn More →
Q. If a + b = 10 and ab = 21, what is the value of a^2 + b^2?
Show solution
Solution
Using the identity a^2 + b^2 = (a + b)^2 - 2ab, we get a^2 + b^2 = 10^2 - 2*21 = 100 - 42 = 58.
Correct Answer:
A
— 49
Learn More →
Q. If a + b = 12 and a^2 + b^2 = 70, what is the value of ab? (2019)
Show solution
Solution
Using the identity a^2 + b^2 = (a + b)^2 - 2ab, we have 70 = 12^2 - 2ab. Thus, 70 = 144 - 2ab, leading to ab = 37.
Correct Answer:
A
— 20
Learn More →
Q. If a + b = 5 and ab = 6, what is the value of a² + b²?
Show solution
Solution
a² + b² = (a + b)² - 2ab = 5² - 2*6 = 25 - 12 = 13.
Correct Answer:
B
— 11
Learn More →
Q. If a 10 kg object is dropped from a height of 20 m, what is its potential energy at the top? (1960)
A.
200 J
B.
1000 J
C.
500 J
D.
1500 J
Show solution
Solution
Potential Energy (PE) = m * g * h = 10 kg * 9.8 m/s^2 * 20 m = 1960 J
Correct Answer:
B
— 1000 J
Learn More →
Q. If a 10 kg object is dropped from a height of 20 m, what is the velocity just before it hits the ground? (Assume g = 10 m/s²) (2019)
A.
10 m/s
B.
20 m/s
C.
14 m/s
D.
15 m/s
Show solution
Solution
Using v² = u² + 2gh, v = √(0 + 2 × 10 m/s² × 20 m) = √400 = 20 m/s.
Correct Answer:
B
— 20 m/s
Learn More →
Q. If a 10 kg object is dropped from a height of 5 m, what is the potential energy at that height?
A.
50 J
B.
100 J
C.
150 J
D.
200 J
Show solution
Solution
Potential energy = mgh = 10 kg × 9.8 m/s² × 5 m = 490 J.
Correct Answer:
B
— 100 J
Learn More →
Q. If a 10 kg object is in free fall, what is the force acting on it due to gravity?
A.
10 N
B.
20 N
C.
30 N
D.
40 N
Show solution
Solution
The force due to gravity is F = mg = 10 kg * 9.8 m/s² = 98 N, which rounds to 100 N.
Correct Answer:
B
— 20 N
Learn More →
Q. If a 10 kg object is lifted to a height of 5 m, what is the work done against gravity? (Use g = 9.8 m/s²) (2021)
A.
49 J
B.
98 J
C.
490 J
D.
245 J
Show solution
Solution
Work done = mgh = 10 kg × 9.8 m/s² × 5 m = 490 J.
Correct Answer:
C
— 490 J
Learn More →
Q. If a 10 kg object is moving with a speed of 2 m/s, what is its kinetic energy?
A.
10 J
B.
20 J
C.
40 J
D.
80 J
Show solution
Solution
KE = 0.5 × m × v² = 0.5 × 10 kg × (2 m/s)² = 0.5 × 10 × 4 = 20 J.
Correct Answer:
B
— 20 J
Learn More →
Q. If a 10 kg object is moving with a velocity of 4 m/s, what is its kinetic energy?
A.
80 J
B.
40 J
C.
20 J
D.
160 J
Show solution
Solution
Kinetic Energy (KE) = 1/2 * m * v^2 = 1/2 * 10 * (4^2) = 80 J
Correct Answer:
A
— 80 J
Learn More →
Q. If a 10 kg object is pulled with a force of 30 N, what is its acceleration?
A.
1 m/s²
B.
2 m/s²
C.
3 m/s²
D.
4 m/s²
Show solution
Solution
Using F = ma, acceleration a = F/m = 30 N / 10 kg = 3 m/s².
Correct Answer:
C
— 3 m/s²
Learn More →
Q. If a 10 kg object is pulled with a force of 50 N, what is its acceleration?
A.
2 m/s²
B.
5 m/s²
C.
10 m/s²
D.
20 m/s²
Show solution
Solution
Using F = ma, a = F/m = 50 N / 10 kg = 5 m/s².
Correct Answer:
B
— 5 m/s²
Learn More →
Q. If a 10 kg object is raised to a height of 5 m, what is the work done against gravity? (g = 9.8 m/s²)
A.
490 J
B.
980 J
C.
150 J
D.
250 J
Show solution
Solution
Work = m * g * h = 10 kg * 9.8 m/s² * 5 m = 490 J.
Correct Answer:
B
— 980 J
Learn More →
Q. If a 10 kg object is subjected to a net force of 30 N, what is the object's acceleration?
A.
3 m/s²
B.
2 m/s²
C.
1.5 m/s²
D.
4 m/s²
Show solution
Solution
Using F = ma, a = F/m = 30 N / 10 kg = 3 m/s².
Correct Answer:
A
— 3 m/s²
Learn More →
Q. If a 10 kg object is subjected to a net force of 30 N, what will be its acceleration?
A.
3 m/s²
B.
0.3 m/s²
C.
30 m/s²
D.
300 m/s²
Show solution
Solution
Using F = ma, acceleration a = F/m = 30 N / 10 kg = 3 m/s².
Correct Answer:
A
— 3 m/s²
Learn More →
Q. If a 10 kg object is subjected to a net force of 50 N, what is its acceleration?
A.
2 m/s²
B.
5 m/s²
C.
10 m/s²
D.
15 m/s²
Show solution
Solution
Using F = ma, acceleration a = F/m = 50 N / 10 kg = 5 m/s².
Correct Answer:
B
— 5 m/s²
Learn More →
Q. If a 10 kg object is subjected to a net force of 50 N, what will be its acceleration?
A.
2 m/s²
B.
5 m/s²
C.
10 m/s²
D.
20 m/s²
Show solution
Solution
Using F = ma, acceleration a = F/m = 50 N / 10 kg = 5 m/s².
Correct Answer:
B
— 5 m/s²
Learn More →
Q. If a 10 N force is applied at an angle of 60 degrees to the horizontal while moving an object 3 m, what is the work done? (2020)
A.
15 J
B.
30 J
C.
25 J
D.
5 J
Show solution
Solution
Work done = Force × Distance × cos(θ) = 10 N × 3 m × cos(60°) = 10 N × 3 m × 0.5 = 15 J
Correct Answer:
A
— 15 J
Learn More →
Q. If a 10 N force is applied at an angle of 60 degrees to the horizontal while moving an object 4 m, what is the work done? (2020)
A.
20 J
B.
40 J
C.
30 J
D.
50 J
Show solution
Solution
Work done = Force × Distance × cos(θ) = 10 N × 4 m × cos(60°) = 10 N × 4 m × 0.5 = 20 J
Correct Answer:
C
— 30 J
Learn More →
Showing 7531 to 7560 of 31669 (1056 Pages)
