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. At what point does the function f(x) = x^3 - 3x^2 + 4 have a local minimum? (2020)
A.
(1, 2)
B.
(2, 1)
C.
(0, 4)
D.
(3, 0)
Show solution
Solution
To find local minima, we find f'(x) = 3x^2 - 6x. Setting f'(x) = 0 gives x = 0 and x = 2. Checking the second derivative, f''(2) = 6 > 0, so (2, 1) is a local minimum.
Correct Answer:
A
— (1, 2)
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Q. At what point in a gravitational field is the gravitational potential constant?
A.
At the center of the mass
B.
At infinity
C.
Along an equipotential surface
D.
At the surface of the mass
Show solution
Solution
The gravitational potential is constant along an equipotential surface.
Correct Answer:
C
— Along an equipotential surface
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Q. At what point in space is the gravitational potential energy of an object zero?
A.
At the center of the Earth
B.
At infinity
C.
At the surface of the Earth
D.
At the Moon
Show solution
Solution
The gravitational potential energy is considered zero at infinity.
Correct Answer:
B
— At infinity
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Q. At what point in space is the gravitational potential zero?
A.
At the center of the Earth.
B.
At infinity.
C.
At the surface of the Earth.
D.
At the center of the Moon.
Show solution
Solution
The gravitational potential is considered zero at infinity.
Correct Answer:
B
— At infinity.
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Q. At what temperature (in Kelvin) does the volume of a gas become zero according to Charles's Law?
A.
0 K
B.
273 K
C.
100 K
D.
32 K
Show solution
Solution
According to Charles's Law, the volume of a gas approaches zero at absolute zero, which is 0 K.
Correct Answer:
A
— 0 K
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Q. At what temperature does a reaction become spontaneous if ΔH = 50 kJ and ΔS = 0.1 kJ/K?
A.
500 K
B.
250 K
C.
1000 K
D.
200 K
Show solution
Solution
Set ΔG = 0: 0 = ΔH - TΔS; T = ΔH/ΔS = 50 kJ / 0.1 kJ/K = 500 K.
Correct Answer:
A
— 500 K
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Q. At what temperature does the Gibbs Free Energy change from negative to positive?
A.
At absolute zero
B.
At the melting point
C.
At the boiling point
D.
At the transition temperature
Show solution
Solution
The Gibbs Free Energy changes from negative to positive at the transition temperature, where the system shifts from one phase to another.
Correct Answer:
D
— At the transition temperature
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Q. At what temperature does the volume of a gas become zero according to Charles's Law?
A.
0 K
B.
-273.15 °C
C.
273.15 K
D.
None of the above
Show solution
Solution
According to Charles's Law, the volume of a gas approaches zero at absolute zero, which is -273.15 °C.
Correct Answer:
B
— -273.15 °C
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Q. At what temperature does the volume of a gas theoretically become zero?
A.
0°C
B.
0 K
C.
273 K
D.
100 K
Show solution
Solution
According to Charles's Law, the volume of a gas approaches zero at absolute zero, which is 0 K.
Correct Answer:
B
— 0 K
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Q. At what temperature will the RMS speed of a gas be 1000 m/s if its molar mass is 0.044 kg/mol? (R = 8.314 J/(mol K))
A.
500 K
B.
600 K
C.
700 K
D.
800 K
Show solution
Solution
Using v_rms = sqrt(3RT/M), we solve for T: T = (v_rms^2 * M) / (3R) = (1000^2 * 0.044) / (3 * 8.314) = 700 K.
Correct Answer:
C
— 700 K
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Q. At what temperature will the RMS speed of a gas be 1000 m/s if its molar mass is 0.044 kg/mol?
A.
300 K
B.
400 K
C.
500 K
D.
600 K
Show solution
Solution
Using v_rms = sqrt(3RT/M), we rearrange to find T = (v_rms^2 * M) / (3R). Plugging in values gives T approximately 500 K.
Correct Answer:
C
— 500 K
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Q. At what temperature will the RMS speed of a gas be 300 m/s if its molar mass is 28 g/mol?
A.
300 K
B.
600 K
C.
900 K
D.
1200 K
Show solution
Solution
Using the formula v_rms = sqrt((3RT)/M), we can rearrange to find T. Setting v_rms = 300 m/s and M = 28 g/mol, we find T = (M * v_rms^2)/(3R) = 600 K.
Correct Answer:
B
— 600 K
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Q. At what temperature will the RMS speed of a gas be 500 m/s if its molar mass is 0.02 kg/mol? (2000)
A.
250 K
B.
500 K
C.
1000 K
D.
2000 K
Show solution
Solution
Using v_rms = sqrt(3RT/M), rearranging gives T = (v_rms^2 * M) / (3R). Substituting values gives T = 500 K.
Correct Answer:
B
— 500 K
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Q. At what temperature will the RMS speed of a gas be 600 m/s if its molar mass is 0.02 kg/mol?
A.
300 K
B.
600 K
C.
900 K
D.
1200 K
Show solution
Solution
Using v_rms = sqrt(3RT/M), we can rearrange to find T = (v_rms^2 * M) / (3R). Plugging in values gives T = (600^2 * 0.02) / (3 * 8.314) = 900 K.
Correct Answer:
C
— 900 K
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Q. At which latitude does the sun appear directly overhead at noon during the equinox? (2021)
A.
0 degrees
B.
23.5 degrees North
C.
23.5 degrees South
D.
90 degrees
Show solution
Solution
At the equinox, the sun is directly overhead at the equator, which is at 0 degrees latitude.
Correct Answer:
A
— 0 degrees
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Q. At which latitude does the sun appear directly overhead at noon during the summer solstice? (2021)
A.
Equator
B.
Tropic of Cancer
C.
Tropic of Capricorn
D.
Arctic Circle
Show solution
Solution
During the summer solstice, the sun is directly overhead at the Tropic of Cancer, which is at 23.5°N latitude.
Correct Answer:
B
— Tropic of Cancer
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Q. At which latitude does the sun not set during the summer solstice?
A.
Equator
B.
Tropic of Cancer
C.
Arctic Circle
D.
Tropic of Capricorn
Show solution
Solution
The sun does not set during the summer solstice at latitudes above the Arctic Circle (66.5°N).
Correct Answer:
C
— Arctic Circle
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Q. At which latitude would you expect to find the longest day during the summer solstice? (2021)
A.
Equator
B.
Tropic of Cancer
C.
Arctic Circle
D.
Antarctic Circle
Show solution
Solution
The longest day occurs at the Arctic Circle during the summer solstice, where the sun does not set.
Correct Answer:
C
— Arctic Circle
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Q. At which longitude would it be 3:00 PM if it is 12:00 noon at 0° longitude?
A.
45°E
B.
90°E
C.
135°E
D.
180°E
Show solution
Solution
3 hours ahead means 3 * 15° = 45°. Therefore, 0° + 45° = 135°E.
Correct Answer:
C
— 135°E
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Q. At which longitude would it be 3:00 PM if it is 12:00 PM at 0° longitude? (2021)
A.
45° East
B.
90° East
C.
135° East
D.
180°
Show solution
Solution
3 hours ahead means 3 * 15 = 45 degrees East, so 0° + 45° = 135° East.
Correct Answer:
C
— 135° East
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Q. At which longitude would the local time be 3 hours ahead of GMT?
A.
45°E
B.
60°E
C.
75°E
D.
90°E
Show solution
Solution
Each hour corresponds to 15 degrees. Therefore, 3 hours ahead means 3 * 15 = 45 degrees east of GMT, which is 45°E.
Correct Answer:
C
— 75°E
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Q. At which longitude would the local time be 6 hours ahead of GMT?
A.
90°E
B.
120°E
C.
150°E
D.
180°E
Show solution
Solution
6 hours ahead corresponds to 6 * 15° = 90°. Therefore, 90°E is the correct answer.
Correct Answer:
C
— 150°E
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Q. At which longitude would the local time be 6 hours ahead of UTC?
A.
90°E
B.
120°E
C.
150°E
D.
180°E
Show solution
Solution
150°E corresponds to UTC+6, as each 15° represents one hour.
Correct Answer:
C
— 150°E
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Q. At which longitude would the local time be the same as that of the Prime Meridian?
A.
15°E
B.
15°W
C.
0°
D.
90°E
Show solution
Solution
The local time is the same as that of the Prime Meridian at 0° longitude.
Correct Answer:
C
— 0°
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Q. At which point does the function f(x) = -x^3 + 3x^2 + 4 have a local maximum? (2023)
A.
(0, 4)
B.
(1, 6)
C.
(2, 5)
D.
(3, 4)
Show solution
Solution
Setting f'(x) = -3x^2 + 6x = 0 gives x = 0 and x = 2. f''(2) < 0 indicates a local maximum at (2, 5).
Correct Answer:
B
— (1, 6)
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Q. Based on the bar graph depicting the sales of different fruits in 2022, which fruit had the highest sales? (2022)
A.
Apples
B.
Bananas
C.
Cherries
D.
Grapes
Show solution
Solution
The bar graph shows that Apples had the highest sales compared to the other fruits.
Correct Answer:
A
— Apples
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Q. Based on the bar graph depicting the sales of different fruits over a year, which fruit had the highest sales in the month of June?
A.
Apples
B.
Bananas
C.
Cherries
D.
Grapes
Show solution
Solution
The bar graph shows that Bananas had the highest sales in June, surpassing the other fruits.
Correct Answer:
B
— Bananas
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Q. Based on the bar graph showing the sales of different fruits in 2022, which fruit had the highest sales? (2022)
A.
Apples
B.
Bananas
C.
Cherries
D.
Grapes
Show solution
Solution
The bar graph indicates that Apples had the highest sales compared to the other fruits.
Correct Answer:
A
— Apples
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Q. Based on the bar graph, which of the following conclusions is valid regarding the sales trends?
A.
All fruits saw an increase in sales.
B.
Only Bananas saw a decrease.
C.
Cherries had the highest growth rate.
D.
Dates had the lowest sales overall.
Show solution
Solution
The bar graph indicates that Cherries had the highest growth rate among the fruits.
Correct Answer:
C
— Cherries had the highest growth rate.
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Q. Based on the bar graph, which year had the lowest overall sales? (2020)
A.
2019
B.
2020
C.
2021
D.
2022
Show solution
Solution
The bar graph shows that 2020 had the lowest overall sales among the years presented.
Correct Answer:
B
— 2020
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