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 100 people were surveyed and 70 like pizza, 50 like pasta, and 20 like both, how many like neither?
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Solution
Using inclusion-exclusion, the number of people who like either is 70 + 50 - 20 = 100, so 100 - 100 = 0 like neither.
Correct Answer:
A
— 30
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Q. If 1000 J of heat is added to a gas and it expands doing 400 J of work, what is the change in internal energy? (2023)
A.
600 J
B.
400 J
C.
1000 J
D.
200 J
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Solution
Using the first law of thermodynamics: ΔU = Q - W = 1000 J - 400 J = 600 J.
Correct Answer:
A
— 600 J
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Q. If 1000 J of heat is added to a system and 400 J of work is done by the system, what is the change in internal energy of the system? (2021)
A.
600 J
B.
400 J
C.
1000 J
D.
200 J
Show solution
Solution
Using the first law of thermodynamics: ΔU = Q - W = 1000 J - 400 J = 600 J.
Correct Answer:
A
— 600 J
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Q. If 1000 J of heat is added to a system and it does 400 J of work, what is the change in internal energy? (2021)
A.
600 J
B.
400 J
C.
1000 J
D.
1400 J
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Solution
Using the first law of thermodynamics, ΔU = Q - W = 1000 J - 400 J = 600 J.
Correct Answer:
A
— 600 J
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Q. If 10^(2x) = 100, what is the value of x?
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Solution
100 = 10^2, so 2x = 2, hence x = 1.
Correct Answer:
B
— 0.5
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Q. If 10^(x) = 1000, what is the value of x? (2023)
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Solution
Since 1000 can be expressed as 10^3, we have 10^x = 10^3, thus x = 3.
Correct Answer:
B
— 3
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Q. If 10^(x+1) = 1000, what is the value of x?
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Solution
1000 can be expressed as 10^3, so x + 1 = 3, leading to x = 2.
Correct Answer:
B
— 2
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Q. If 10^(x+2) = 1000, what is the value of x? (2023)
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Solution
Since 1000 can be expressed as 10^3, we have 10^(x+2) = 10^3, thus x + 2 = 3, leading to x = 1.
Correct Answer:
A
— 1
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Q. If 10^x = 0.01, what is the value of x?
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Solution
Since 0.01 = 10^(-2), we have x = -2.
Correct Answer:
A
— -2
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Q. If 12 apples cost $3, how much will 20 apples cost?
A.
$4.50
B.
$5.00
C.
$5.50
D.
$6.00
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Solution
Cost per apple = $3 / 12 apples = $0.25. For 20 apples, cost = 20 * $0.25 = $5.00.
Correct Answer:
B
— $5.00
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Q. If 12 liters of a mixture contains 20% oil, how much oil is there in the mixture?
A.
2 liters
B.
3 liters
C.
4 liters
D.
5 liters
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Solution
Oil in the mixture = 20% of 12L = 0.2 * 12 = 2.4L.
Correct Answer:
C
— 4 liters
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Q. If 12 men can complete a project in 30 days, how many men are needed to complete the project in 15 days?
A.
18 men
B.
24 men
C.
30 men
D.
36 men
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Solution
If 12 men take 30 days, then to complete in 15 days, we need 12 * (30/15) = 24 men.
Correct Answer:
B
— 24 men
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Q. If 12 men can complete a work in 20 days, how many men are required to complete the same work in 10 days?
A.
20 men
B.
24 men
C.
30 men
D.
36 men
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Solution
12 men take 20 days, so to finish in 10 days, we need 12 * 20 / 10 = 24 men.
Correct Answer:
B
— 24 men
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Q. If 12 workers can complete a job in 15 days, how many days will it take for 6 workers to complete the same job?
A.
30 days
B.
45 days
C.
60 days
D.
75 days
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Solution
Work done = Workers × Days; Total work = 12 × 15 = 180 worker-days; 6 workers will take 180/6 = 30 days.
Correct Answer:
B
— 45 days
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Q. If 12 workers can complete a task in 10 days, how many days will it take for 6 workers to complete the same task?
A.
20 days
B.
30 days
C.
40 days
D.
50 days
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Solution
Work done = Workers × Days. 12 workers × 10 days = 120 worker-days. 6 workers will take 120 / 6 = 20 days.
Correct Answer:
B
— 30 days
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Q. If 12 workers can complete a task in 15 days, how many days will it take for 6 workers to complete the same task?
A.
30 days
B.
45 days
C.
60 days
D.
75 days
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Solution
Work done = Workers × Days. Total work = 12 × 15 = 180. For 6 workers, Days = 180 / 6 = 30 days.
Correct Answer:
B
— 45 days
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Q. If 15 g of sugar is dissolved in 300 mL of water, what is the concentration in g/mL? (2020)
A.
0.05 g/mL
B.
0.1 g/mL
C.
0.15 g/mL
D.
0.2 g/mL
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Solution
Concentration = mass / volume = 15 g / 300 mL = 0.05 g/mL.
Correct Answer:
B
— 0.1 g/mL
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Q. If 15 grams of HCl is dissolved in 500 mL of solution, what is the molarity of the solution? (Molar mass of HCl = 36.5 g/mol)
A.
0.82 M
B.
1.0 M
C.
0.5 M
D.
1.5 M
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Solution
Moles of HCl = 15 g / 36.5 g/mol = 0.41096 moles. Molarity = 0.41096 moles / 0.5 L = 0.82192 M.
Correct Answer:
A
— 0.82 M
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Q. If 15 grams of sugar is dissolved in 250 mL of solution, what is the molarity of the solution? (Molar mass of sugar = 180 g/mol)
A.
0.33 M
B.
0.5 M
C.
0.25 M
D.
0.75 M
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Solution
Moles of sugar = 15 g / 180 g/mol = 0.0833 moles. Molarity = 0.0833 moles / 0.25 L = 0.333 M.
Correct Answer:
A
— 0.33 M
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Q. If 15 grams of sugar is dissolved in 250 mL of water, what is the molarity of the solution? (Molar mass of sugar = 180 g/mol)
A.
0.33 M
B.
0.5 M
C.
0.25 M
D.
0.75 M
Show solution
Solution
Moles of sugar = 15 g / 180 g/mol = 0.0833 moles. Molarity = 0.0833 moles / 0.25 L = 0.333 M.
Correct Answer:
A
— 0.33 M
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Q. If 15 is congruent to x modulo 6, what is the value of x?
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Solution
15 mod 6 = 3, so x = 3.
Correct Answer:
A
— 3
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Q. If 15 kg of sugar costs $30, how much will 25 kg of sugar cost?
A.
$40
B.
$50
C.
$60
D.
$70
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Solution
Cost per kg = $30 / 15 kg = $2. For 25 kg, cost = 25 * $2 = $50.
Correct Answer:
C
— $60
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Q. If 15 liters of a mixture contains 10 liters of milk, what is the ratio of milk to the total mixture?
A.
2:3
B.
1:2
C.
3:2
D.
1:3
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Solution
Ratio of milk to mixture = 10 liters milk / 15 liters mixture = 2:3.
Correct Answer:
A
— 2:3
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Q. If 15 liters of a mixture contains 9 liters of liquid X and the rest is liquid Y, what is the ratio of X to Y?
A.
3:2
B.
2:3
C.
5:4
D.
4:5
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Solution
Liquid Y = 15 - 9 = 6 liters. Ratio = 9:6 = 3:2.
Correct Answer:
A
— 3:2
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Q. If 15 liters of a mixture contains 9 liters of milk, what is the ratio of milk to the total mixture?
A.
3:5
B.
2:5
C.
1:2
D.
1:3
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Solution
Ratio of milk to mixture = 9 liters of milk / 15 liters of mixture = 3:5.
Correct Answer:
A
— 3:5
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Q. If 15 liters of a solution contains alcohol and water in the ratio 1:4, how much alcohol is present?
A.
3 liters
B.
2 liters
C.
4 liters
D.
5 liters
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Solution
Total parts = 1 + 4 = 5. Alcohol = (1/5) * 15 = 3 liters.
Correct Answer:
A
— 3 liters
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Q. If 15 students can complete a project in 20 days, how many students are needed to complete it in 10 days?
A.
30 students
B.
35 students
C.
40 students
D.
45 students
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Solution
If 15 students take 20 days, then to complete in 10 days, we need 15 * (20/10) = 30 students.
Correct Answer:
A
— 30 students
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Q. If 15 students can complete a project in 30 days, how many days will it take for 10 students to complete the same project?
A.
40 days
B.
45 days
C.
50 days
D.
60 days
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Solution
15 students * 30 days = 450 student-days. For 10 students, days = 450 / 10 = 45 days.
Correct Answer:
C
— 50 days
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Q. If 15 students like both History and Geography, 25 like History, and 20 like Geography, how many students like only Geography?
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Solution
The number of students who like only Geography is: 20 - 15 = 5.
Correct Answer:
A
— 5
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Q. If 15 workers can build a wall in 30 days, how many days will it take for 5 workers to build the same wall?
A.
60 days
B.
75 days
C.
90 days
D.
100 days
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Solution
Total work = 15 workers * 30 days = 450 worker-days. For 5 workers, days = 450 / 5 = 90 days.
Correct Answer:
C
— 90 days
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