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 a satellite's speed is less than the required orbital speed, what will happen?

A. It will remain in orbit.
B. It will fall back to Earth.
C. It will escape into space.
D. It will move to a higher orbit.

Solution

If a satellite's speed is less than the required orbital speed, it will not have enough centripetal force to maintain its orbit and will fall back to Earth.

Correct Answer: B — It will fall back to Earth.

Q. If a scheme provides ₹1000 per month to 500 families for 6 months, what is the total amount disbursed?

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

Solution

Total amount = ₹1000 * 500 families * 6 months = ₹3,000,000 or ₹3 lakhs.

Correct Answer: A — ₹3 lakhs

Q. If a scholarship fund increases by 15% each year and starts with $10,000, what will be the amount after 2 years? (2023)

A. $12,000
B. $12,250
C. $12,500
D. $12,800

Solution

After 1 year: 10000 * 1.15 = $11500. After 2 years: 11500 * 1.15 = $13225.

Correct Answer: C — $12,500

Q. If a scholarship program awards $1000 to each of 75 students, what is the total amount awarded?

A. $75000
B. $80000
C. $70000
D. $60000

Solution

Total amount awarded = $1000 * 75 students = $75000.

Correct Answer: A — $75000

Q. If a school allocates $12,000 for sports and $8,000 for arts, what fraction of the total budget is allocated to sports?

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

Solution

Total budget = $12,000 + $8,000 = $20,000. Fraction for sports = $12,000 / $20,000 = 3/5.

Correct Answer: A — 3/5

Q. If a school awards $1000 to each of the top 10 students, what is the total amount awarded? (2019)

A. $5000
B. $8000
C. $10000
D. $12000

Solution

Total amount awarded = 1000 * 10 = $10000.

Correct Answer: C — $10000

Q. If a school awards 4 scholarships of $1000 each, what is the total amount awarded in scholarships?

A. $3000
B. $4000
C. $5000
D. $6000

Solution

Total amount awarded = Number of scholarships * Amount per scholarship = 4 * $1000 = $4000.

Correct Answer: B — $4000

Q. If a school awards a total of $1200 in scholarships, and the first place receives $600, the second place receives $300, and the third place receives $200, how much is left for the fourth place? (2023)

A. $100
B. $200
C. $300
D. $400

Solution

Total awarded = 600 + 300 + 200 = 1100. Amount left for fourth place = 1200 - 1100 = $100.

Correct Answer: A — $100

Q. If a school has 500 students and 10% of them are in the sports team, how many students are in the sports team?

A. 40
B. 50
C. 60
D. 70

Solution

Number of students in sports team = 10% of 500 = 50

Correct Answer: B — 50

Q. If a security agency has 120 personnel and 30% are assigned to field operations, how many personnel are assigned to field operations?

A. 30
B. 36
C. 40
D. 42

Solution

30% of 120 is 0.30 * 120 = 36 personnel.

Correct Answer: B — 36

Q. If a security guard works 12-hour shifts and takes 1 hour for breaks, how many hours does he actually work in a week if he works 5 days?

A. 50
B. 55
C. 60
D. 65

Solution

Actual work hours per day = 12 - 1 = 11 hours. In 5 days, he works 11 * 5 = 55 hours.

Correct Answer: A — 50

Q. If a security team can cover 10 square kilometers in 2 hours, how many square kilometers can they cover in 5 hours?

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

Solution

In 1 hour, they cover 10/2 = 5 square kilometers. In 5 hours, they cover 5 * 5 = 25 square kilometers.

Correct Answer: C — 30

Q. If a seller incurs a loss of 10% on selling a bicycle for $450, what was the cost price?

A. $500
B. $450
C. $400
D. $350

Solution

Let the cost price be x. Then, 450 = x - 10% of x => 450 = x - 0.1x => 450 = 0.9x => x = 500.

Correct Answer: A — $500

Q. If a seller incurs a loss of 10% on selling a book for $45, what was the cost price?

A. $50
B. $55
C. $60
D. $65

Solution

Let the Cost Price be x. Selling Price = Cost Price - Loss = x - 0.1x = 0.9x. So, 0.9x = 45. Therefore, x = 45/0.9 = $50.

Correct Answer: A — $50

Q. If a seller incurs a loss of 10% on selling a book for $90, what was the cost price?

A. $100
B. $110
C. $120
D. $90

Solution

Let the cost price be x. Selling Price = Cost Price - Loss = x - 0.10x = 0.90x. So, 0.90x = 90. Therefore, x = 90/0.90 = 100.

Correct Answer: A — $100

Q. If a seller incurs a loss of 15% on selling a bicycle for $255, what was the cost price? (2023)

A. $300
B. $280
C. $270
D. $250

Solution

Let the cost price be x. Selling Price = x - (15/100 * x) = 255. Thus, 0.85x = 255, x = 300.

Correct Answer: A — $300

Q. If a seller marks a product at $400 and gives a discount of 25%, what is the profit if the cost price is $250? (2023)

A. $50
B. $75
C. $100
D. $125

Solution

Selling Price = $400 - (25% of $400) = $400 - $100 = $300. Profit = Selling Price - Cost Price = $300 - $250 = $50.

Correct Answer: C — $100

Q. If a seller marks up the price of a product by 50% and then offers a discount of 20%, what is the effective percentage increase in the price?

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

Solution

Let the cost price be $100. Marked Price = $100 + ($100 * 0.50) = $150. Selling Price after discount = $150 - ($150 * 0.20) = $120. Effective increase = (($120 - $100) / $100) * 100 = 20%.

Correct Answer: B — 25%

Q. If a sequence is defined as a_n = 3n + 1, what is the value of a_7? (2023)

A. 22
B. 21
C. 20
D. 19

Solution

Substituting n = 7 into the formula gives a_7 = 3(7) + 1 = 21 + 1 = 22.

Correct Answer: A — 22

Q. If a sequence is defined as a_n = 3n + 2, what is the value of a_5?

A. 15
B. 17
C. 20
D. 22

Solution

Substituting n = 5 into the equation gives a_5 = 3(5) + 2 = 15 + 2 = 17.

Correct Answer: B — 17

Q. If a sequence is defined by a_n = 2n + 3, what is a_5?

A. 10
B. 11
C. 13
D. 15

Solution

a_5 = 2(5) + 3 = 13.

Correct Answer: C — 13

Q. If a sequence is defined by the formula a_n = 3n + 2, what is the value of a_7? (2023)

A. 23
B. 20
C. 19
D. 25

Solution

Substituting n = 7 into the formula gives a_7 = 3(7) + 2 = 21 + 2 = 23.

Correct Answer: A — 23

Q. If a set A contains elements {1, 2, 3, 4, 5} and a constraint states that only even numbers can be included, what will be the resulting set?

A. {2, 4}
B. {1, 3, 5}
C. {1, 2, 3, 4, 5}
D. {}

Solution

The resulting set will be {2, 4} as these are the only even numbers in set A.

Correct Answer: A — {2, 4}

Q. If a set A is defined by the constraints x > 5 and x < 10, which of the following numbers is NOT a member of set A?

A. 6
B. 7
C. 10
D. 9

Solution

The number 10 does not satisfy the constraint x < 10, hence it is not a member of set A.

Correct Answer: C — 10

Q. If a set D is defined as {x | x is a positive integer and x is less than or equal to 15}, how many elements are in set D?

A. 10
B. 15
C. 14
D. 16

Solution

Set D includes all positive integers from 1 to 15, which totals 15 elements.

Correct Answer: B — 15

Q. If a set is defined as containing all prime numbers less than 20, which of the following numbers is NOT in the set?

A. 2
B. 3
C. 4
D. 19

Solution

The number 4 is not a prime number, hence it is not included in the set of prime numbers less than 20.

Correct Answer: C — 4

Q. If a set is defined as {x | x is a fruit and x is red}, which of the following fruits would NOT be included in this set?

A. Apple
B. Banana
C. Cherry
D. Strawberry

Solution

The fruit 'Banana' would not be included in the set as it is not red.

Correct Answer: B — Banana

Q. If a set is defined as {x | x is a letter in the English alphabet and x is a consonant}, which of the following letters is NOT included in this set?

A. B
B. E
C. K
D. T

Solution

The letter E is a vowel and therefore not included in the set of consonants.

Correct Answer: B — E

Q. If a set is defined as {x | x is a letter in the English alphabet and x is a vowel}, which of the following is an element of this set?

A. B
B. C
C. A
D. D

Solution

The letter A is an element of the set as it is a vowel in the English alphabet.

Correct Answer: C — A

Q. If a set is defined as {x | x is a letter in the English alphabet and x is a vowel}, which of the following letters is NOT an element of this set?

A. A
B. E
C. I
D. Z

Solution

The letter Z is not a vowel and therefore is not an element of the set defined by vowels.

Correct Answer: D — Z

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