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 40 students play cricket, 30 play football, and 10 play both, how many students play either cricket or football?

A. 60
B. 70
C. 50
D. 80

Solution

Using inclusion-exclusion, the total is 40 + 30 - 10 = 60.

Correct Answer: A — 60

Q. If 40% of a population of 2000 is considered vulnerable, how many individuals are vulnerable?

A. 600
B. 800
C. 1000
D. 1200

Solution

Vulnerable individuals = 40% of 2000 = 0.4 * 2000 = 800.

Correct Answer: B — 800

Q. If 40% of women in a city are single and there are 1,000 women, how many are single?

A. 400
B. 600
C. 500
D. 300

Solution

Number of single women = 1,000 * 0.40 = 400.

Correct Answer: A — 400

Q. If 45% of people like tea, 35% like coffee, and 10% like both, what percentage like neither tea nor coffee?

A. 10%
B. 20%
C. 30%
D. 40%

Solution

The percentage of people who like either tea or coffee is 45% + 35% - 10% = 70%. Therefore, those who like neither = 100% - 70% = 30%.

Correct Answer: C — 30%

Q. If 45% of people like tea, 35% like coffee, and 15% like both, what percentage of people like neither tea nor coffee?

A. 25%
B. 15%
C. 30%
D. 20%

Solution

The percentage of people who like either tea or coffee is 45% + 35% - 15% = 65%. Therefore, those who like neither is 100% - 65% = 35%.

Correct Answer: A — 25%

Q. If 45% of people prefer tea, 35% prefer coffee, and 15% prefer both, what is the percentage of people who prefer only tea?

A. 30%
B. 20%
C. 15%
D. 25%

Solution

The percentage of people who prefer only tea is |Tea| - |Both| = 45% - 15% = 30%.

Correct Answer: A — 30%

Q. If 4x + 1 > 2x + 5, what is the minimum integer value of x?

A. 2
B. 3
C. 4
D. 5

Solution

Solving gives 2x > 4, thus x > 2. The minimum integer is 3.

Correct Answer: B — 3

Q. If 4x + 1 > 9, what is the minimum integer value of x?

A. 2
B. 3
C. 4
D. 5

Solution

Solving 4x + 1 > 9 gives 4x > 8, thus x > 2. The minimum integer value is 3.

Correct Answer: B — 3

Q. If 4x + 1 > 9, what is the smallest integer value of x?

A. 2
B. 3
C. 4
D. 5

Solution

Solving gives 4x > 8, thus x > 2. The smallest integer is 3.

Correct Answer: A — 2

Q. If 4x + 1 = 2x + 9, what is the value of x?

A. 3
B. 4
C. 5
D. 6

Solution

Subtract 2x from both sides: 2x + 1 = 9. Subtract 1: 2x = 8. Divide by 2: x = 4.

Correct Answer: A — 3

Q. If 4x + 1 ≤ 13, what is the range of x?

A. x ≤ 3
B. x < 3
C. x ≥ 3
D. x > 3

Solution

Solving 4x + 1 ≤ 13 gives 4x ≤ 12, thus x ≤ 3.

Correct Answer: A — x ≤ 3

Q. If 4x + 5 = 2x + 17, what is the value of x?

A. 5
B. 6
C. 7
D. 8

Solution

Subtract 2x from both sides: 2x + 5 = 17. Then subtract 5: 2x = 12. Finally, divide by 2: x = 6.

Correct Answer: B — 6

Q. If 4x ≡ 1 (mod 9), what is the smallest positive integer solution for x?

A. 1
B. 2
C. 3
D. 4

Solution

The multiplicative inverse of 4 mod 9 is 7, since 4 * 7 = 28 ≡ 1 (mod 9).

Correct Answer: A — 1

Q. If 4x ≡ 8 (mod 12), what is the smallest non-negative integer solution for x?

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

Solution

Dividing both sides by 4 gives x ≡ 2 (mod 3), so the smallest non-negative solution is 2.

Correct Answer: C — 2

Q. If 4x ≡ 8 (mod 12), what is the smallest non-negative solution for x?

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

Solution

Dividing the equation by 4 gives x ≡ 2 (mod 3). The smallest non-negative solution is x = 2.

Correct Answer: C — 2

Q. If 4z + 8 = 32, what is the value of z? (2023)

A. 6
B. 5
C. 4
D. 7

Solution

4z + 8 = 32 => 4z = 24 => z = 6.

Correct Answer: B — 5

Q. If 4^(x-1) = 1/16, what is the value of x? (2023)

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

Solution

Since 1/16 can be expressed as 4^(-2), we have 4^(x-1) = 4^(-2), thus x - 1 = -2, leading to x = -1.

Correct Answer: C — 2

Q. If 4^(x-1) = 64, what is the value of x?

A. 3
B. 4
C. 5
D. 6

Solution

Since 64 can be expressed as 4^3, we have 4^(x-1) = 4^3, thus x - 1 = 3, leading to x = 4.

Correct Answer: B — 4

Q. If 4^x = 64, what is the value of x?

A. 2
B. 3
C. 4
D. 5

Solution

Since 64 = 4^3, we have x = 3.

Correct Answer: B — 3

Q. If 5 - 2x > 1, what is the minimum integer value of x?

A. 1
B. 2
C. 3
D. 4

Solution

Solving the inequality: -2x > -4, thus x < 2. The minimum integer value of x is 1.

Correct Answer: B — 2

Q. If 5 - x > 2, what is the maximum integer value of x?

A. 2
B. 3
C. 4
D. 5

Solution

5 - x > 2 => x < 3. The maximum integer value of x is 2.

Correct Answer: B — 3

Q. If 5 apples are distributed among 3 children, how many apples does each child get if they receive an equal amount?

A. 1
B. 1.5
C. 2
D. 2.5

Solution

Each child gets 5 apples divided by 3 children, which equals 1.5 apples.

Correct Answer: B — 1.5

Q. If 5 apples are distributed equally among 2 friends, how many apples does each friend get?

A. 2
B. 2.5
C. 3
D. 1

Solution

Dividing 5 apples by 2 friends gives each friend 2.5 apples.

Correct Answer: B — 2.5

Q. If 5 cats can catch 5 mice in 5 minutes, how many cats are needed to catch 100 mice in 50 minutes? (2022)

A. 10
B. 20
C. 25
D. 50

Solution

5 cats catch 5 mice in 5 minutes, so 1 cat catches 1 mouse in 5 minutes. To catch 100 mice in 50 minutes, we need 20 cats.

Correct Answer: C — 25

Q. If 5 g of CaCO3 decomposes completely, how many grams of CaO are produced?

A. 2 g
B. 3 g
C. 4 g
D. 5 g

Solution

CaCO3 → CaO + CO2. Molar mass of CaCO3 = 100 g, CaO = 56 g. 5 g of CaCO3 produces (5 g * 56 g) / 100 g = 2.8 g of CaO.

Correct Answer: C — 4 g

Q. If 5 liters of a 20% solution is mixed with 15 liters of a 30% solution, what is the percentage concentration of the resulting mixture?

A. 24%
B. 26%
C. 28%
D. 30%

Solution

Total salt = (0.2*5) + (0.3*15) = 1 + 4.5 = 5.5 liters. Total volume = 5 + 15 = 20 liters. Concentration = (5.5/20)*100 = 27.5%.

Correct Answer: A — 24%

Q. If 5 liters of a mixture of milk and water contains 60% milk, how much water must be added to make the mixture 40% milk?

A. 2 liters
B. 3 liters
C. 4 liters
D. 5 liters

Solution

Initial milk = 60% of 5L = 3L. Let x be the liters of water added. New total = 5 + x. We need 3/(5+x) = 0.4. Solving gives x = 4L.

Correct Answer: C — 4 liters

Q. If 5 men can complete a work in 20 days, how many men are required to complete the same work in 10 days?

A. 10 men
B. 15 men
C. 20 men
D. 25 men

Solution

If 5 men take 20 days, then to complete the work in 10 days, we need (5 * 20) / 10 = 10 men.

Correct Answer: A — 10 men

Q. If 5 moles of KCl are dissolved in 1 kg of water, what is the molality of the solution?

A. 5 m
B. 2.5 m
C. 10 m
D. 1 m

Solution

Molality (m) = moles of solute / kg of solvent = 5 moles / 1 kg = 5 m.

Correct Answer: A — 5 m

Q. If 5 moles of KCl are dissolved in 3 kg of water, what is the molality of the solution?

A. 1.67 m
B. 2.5 m
C. 1.25 m
D. 0.5 m

Solution

Molality (m) = moles of solute / kg of solvent = 5 moles / 3 kg = 1.67 m.

Correct Answer: A — 1.67 m

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