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 25% of a population likes apples, 35% likes oranges, and 10% likes both, what percentage likes only apples?

A. 15%
B. 25%
C. 10%
D. 5%

Solution

The percentage of people who like only apples is 25% - 10% = 15%.

Correct Answer: A — 15%

Q. If 25% of a population likes chocolate, 15% likes vanilla, and 5% likes both, what percentage likes either chocolate or vanilla?

A. 35%
B. 30%
C. 25%
D. 20%

Solution

The percentage of people who like either chocolate or vanilla is 25% + 15% - 5% = 35%.

Correct Answer: A — 35%

Q. If 25% of a population likes reading, 15% likes writing, and 5% likes both, what percentage likes either reading or writing?

A. 35%
B. 30%
C. 25%
D. 20%

Solution

Using inclusion-exclusion, the percentage of people who like either activity is: 25% + 15% - 5% = 35%.

Correct Answer: A — 35%

Q. If 25% of a population likes reading, 35% likes writing, and 10% likes both, what percentage likes either reading or writing?

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

Solution

Using inclusion-exclusion, the percentage of people who like either activity is 25% + 35% - 10% = 50%.

Correct Answer: B — 60%

Q. If 2x + 3 < 11, what is the maximum integer value of x?

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

Solution

Solving 2x + 3 < 11 gives 2x < 8, thus x < 4. The maximum integer value is 3.

Correct Answer: B — 4

Q. If 2x + 3y = 12 and x + 2y = 10, what is the value of x?

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

Solution

From the second equation, x = 10 - 2y. Substituting into the first gives 2(10 - 2y) + 3y = 12, solving gives y = 2, x = 6.

Correct Answer: C — 4

Q. If 2x + 3y = 18 and 4x - y = 10, what is the value of y?

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

Solution

From the first equation, y = (18 - 2x)/3. Substituting into the second gives 4x - (18 - 2x)/3 = 10. Solving leads to y = 4.

Correct Answer: C — 4

Q. If 2x + 4 > 3x - 1, what is the value of x?

A. x < 5
B. x > 5
C. x < 4
D. x > 4

Solution

Rearranging gives 4 > x, thus x < 4.

Correct Answer: A — x < 5

Q. If 2x + 4 < 3x - 1, what is the value of x?

A. x < 5
B. x > 5
C. x < 3
D. x > 3

Solution

Rearranging gives x > 5. Thus, the correct option is x < 5.

Correct Answer: A — x < 5

Q. If 2x = 10, what is the value of x? (2015)

A. 5
B. 10
C. 2
D. 20

Solution

Dividing both sides by 2 gives x = 10/2 = 5.

Correct Answer: A — 5

Q. If 2x ≡ 4 (mod 6), what is the smallest non-negative integer solution for x?

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

Solution

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

Correct Answer: C — 2

Q. If 2y - 7 = 13, what is the value of y? (2023)

A. 10
B. 8
C. 9
D. 7

Solution

2y - 7 = 13 => 2y = 20 => y = 10.

Correct Answer: A — 10

Q. If 2^(x+1) = 16, what is the value of x?

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

Solution

16 = 2^4 => x + 1 = 4 => x = 3

Correct Answer: B — 3

Q. If 2^(x+3) = 32, what is the value of x?

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

Solution

Since 32 can be expressed as 2^5, we have 2^(x+3) = 2^5, thus x + 3 = 5, leading to x = 2.

Correct Answer: C — 3

Q. If 3 machines can produce 150 units in 5 hours, how many units can 6 machines produce in 5 hours?

A. 150 units
B. 300 units
C. 450 units
D. 600 units

Solution

If 3 machines produce 150 units, then 6 machines will produce 150 * 2 = 300 units.

Correct Answer: B — 300 units

Q. If 3 machines can produce 150 units in 5 hours, how many units can 6 machines produce in 10 hours?

A. 300 units
B. 450 units
C. 600 units
D. 750 units

Solution

3 machines produce 150 units in 5 hours, so 6 machines will produce 300 units in 5 hours. In 10 hours, they will produce 600 units.

Correct Answer: C — 600 units

Q. If 3 machines can produce 150 units in 5 hours, how many units can 6 machines produce in 2 hours?

A. 60 units
B. 90 units
C. 120 units
D. 150 units

Solution

Rate of production = 150 units / 5 hours = 30 units/hour for 3 machines. For 6 machines, rate = 60 units/hour. In 2 hours, they produce 60 * 2 = 120 units.

Correct Answer: C — 120 units

Q. If 3 moles of a gas occupy 60 liters at STP, what is the molar volume of the gas?

A. 20 L
B. 30 L
C. 40 L
D. 60 L

Solution

Molar volume = total volume / number of moles = 60 L / 3 moles = 20 L/mole.

Correct Answer: B — 30 L

Q. If 3 moles of a gas occupy 60 liters, what is the volume occupied by 1 mole of the gas at the same conditions?

A. 20 L
B. 30 L
C. 15 L
D. 10 L

Solution

Volume per mole = total volume / number of moles = 60 L / 3 moles = 20 L/mole.

Correct Answer: A — 20 L

Q. If 3 moles of glucose are dissolved in 1 liter of solution, what is the molality of the solution? (2023)

A. 3 m
B. 1 m
C. 2 m
D. 0.5 m

Solution

Molality (m) = moles of solute / kg of solvent; assuming 1 L of water = 1 kg, m = 3 moles / 1 kg = 3 m

Correct Answer: A — 3 m

Q. If 3 parts of A are mixed with 5 parts of B, what is the ratio of A to B?

A. 3:5
B. 5:3
C. 3:8
D. 8:3

Solution

The ratio of A to B is 3:5.

Correct Answer: A — 3:5

Q. If 3 pipes can fill a tank in 12 hours, how long will it take for 5 such pipes to fill the same tank?

A. 8
B. 9
C. 10
D. 11

Solution

Rate of 3 pipes = 1/12. Rate of 1 pipe = 1/36. Rate of 5 pipes = 5/36. Time taken = 36/5 = 7.2 hours, which rounds to 8 hours.

Correct Answer: A — 8

Q. If 3 pipes can fill a tank in 4 hours, how long will it take for 5 such pipes to fill the same tank?

A. 2.4
B. 3
C. 3.2
D. 4

Solution

Rate of 3 pipes = 1/4 tank/hour. Rate of 1 pipe = 1/12 tank/hour. Rate of 5 pipes = 5/12 tank/hour. Time = 12/5 = 2.4 hours.

Correct Answer: A — 2.4

Q. If 3 workers can complete a task in 12 days, how many days will it take for 6 workers to complete the same task?

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

Solution

Work done = 3 workers × 12 days = 36 worker-days. For 6 workers, days = 36 worker-days / 6 workers = 6 days.

Correct Answer: A — 6 days

Q. If 3/5 of a number is 30, what is the number?

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

Solution

Let the number be x. Then, 3/5 * x = 30, so x = 30 * 5/3 = 50.

Correct Answer: B — 60

Q. If 3/8 of a cake is left, what fraction of the cake has been eaten?

A. 1/8
B. 5/8
C. 3/8
D. 7/8

Solution

If 3/8 is left, then 1 - 3/8 = 5/8 has been eaten.

Correct Answer: B — 5/8

Q. If 30 liters of a mixture contains alcohol and water in the ratio 1:2, how much alcohol is in the mixture?

A. 10 liters
B. 15 liters
C. 20 liters
D. 5 liters

Solution

In a 1:2 ratio, the total parts = 1 + 2 = 3. Alcohol = (1/3) * 30 = 10 liters.

Correct Answer: A — 10 liters

Q. If 30 liters of a mixture contains alcohol and water in the ratio 2:3, how much alcohol is in the mixture?

A. 12 liters
B. 18 liters
C. 15 liters
D. 10 liters

Solution

In a 2:3 ratio, the total parts = 2 + 3 = 5. Alcohol = (2/5) * 30 = 12 liters.

Correct Answer: A — 12 liters

Q. If 30% of the members of the Rajya Sabha are from the ruling party and there are 245 members, how many members are from the ruling party?

A. 70
B. 75
C. 80
D. 90

Solution

Members from ruling party = 30% of 245 = 0.3 * 245 = 73.5, rounded to 74.

Correct Answer: A — 70

Q. If 300 g of water at 25°C is mixed with 200 g of water at 75°C, what is the final temperature? (Specific heat of water = 4.2 J/g°C)

A. 40°C
B. 50°C
C. 60°C
D. 70°C

Solution

Using m1*T1 + m2*T2 = (m1 + m2)*Tf, we find Tf = (300*25 + 200*75) / (300 + 200) = 50°C.

Correct Answer: B — 50°C

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