Q. Which of the following points lies on the parabola y^2 = 8x?
A.
(2, 4)
B.
(1, 2)
C.
(4, 4)
D.
(2, 2)
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Solution
To check if a point lies on the parabola, substitute the x-coordinate into the equation. For (2, 4), 4^2 = 16 and 8*2 = 16, so it lies on the parabola.
Correct Answer:
A
— (2, 4)
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Q. Which of the following processes occurs in the chloroplasts? (2019)
A.
Glycolysis
B.
Krebs cycle
C.
Photosynthesis
D.
Fermentation
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Solution
Photosynthesis occurs in chloroplasts, where light energy is converted into chemical energy in the form of glucose.
Correct Answer:
C
— Photosynthesis
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Q. Which of the following processes occurs in the nucleus of a cell? (2023)
A.
Photosynthesis
B.
Cell respiration
C.
DNA replication
D.
Protein synthesis
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Solution
DNA replication occurs in the nucleus, where the cell's genetic material is housed.
Correct Answer:
C
— DNA replication
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Q. Which of the following represents the complex number 4 in polar form?
A.
4(cos 0 + i sin 0)
B.
4(cos π/2 + i sin π/2)
C.
4(cos π + i sin π)
D.
4(cos π/4 + i sin π/4)
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Solution
The polar form of a complex number r(cos θ + i sin θ) where r is the modulus and θ is the argument. Here, 4 = 4(cos 0 + i sin 0).
Correct Answer:
A
— 4(cos 0 + i sin 0)
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Q. Which of the following represents the identity for (a + b + c)²?
A.
a² + b² + c² + 2ab + 2bc + 2ca
B.
a² + b² + c² + 3abc
C.
a² + b² + c²
D.
a² + b² + c² + ab + ac + bc
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Solution
(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca.
Correct Answer:
A
— a² + b² + c² + 2ab + 2bc + 2ca
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Q. Which of the following rights is available only to citizens and not to foreigners?
A.
Right to Equality
B.
Right to Freedom of Speech
C.
Right to Constitutional Remedies
D.
Right to Freedom of Religion
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Solution
The Right to Constitutional Remedies is available only to citizens of India as per Article 32.
Correct Answer:
C
— Right to Constitutional Remedies
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Q. Which of the following rights is available only to citizens of India?
A.
Right to Equality
B.
Right to Freedom of Speech
C.
Right to Constitutional Remedies
D.
Right to Property
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Solution
The Right to Property was originally a Fundamental Right but is now a legal right; however, the other rights mentioned are available to all persons.
Correct Answer:
D
— Right to Property
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Q. Which of the following rights is considered a 'negative right'?
A.
Right to Life
B.
Right to Freedom of Speech
C.
Right to Equality
D.
Right to Property
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Solution
The Right to Freedom of Speech is considered a negative right as it requires the state to refrain from interference.
Correct Answer:
B
— Right to Freedom of Speech
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Q. Which of the following rivers is known as the 'Sorrow of Bihar'?
A.
Ganga
B.
Kosi
C.
Yamuna
D.
Brahmaputra
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Solution
The Kosi River is known as the 'Sorrow of Bihar' due to its frequent flooding.
Correct Answer:
B
— Kosi
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Q. Which of the following rivers is the longest in the world? (2021)
A.
Amazon River
B.
Nile River
C.
Yangtze River
D.
Mississippi River
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Solution
The Nile River is traditionally considered the longest river in the world, measuring about 6,650 kilometers.
Correct Answer:
B
— Nile River
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Q. Which of the following rivers is the longest river in India?
A.
Ganges
B.
Brahmaputra
C.
Indus
D.
Godavari
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Solution
The Indus River is the longest river in India, flowing for about 3,180 kilometers.
Correct Answer:
C
— Indus
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Q. Which of the following schemes is aimed at providing health insurance to the poor? (2018)
A.
Ayushman Bharat
B.
Pradhan Mantri Fasal Bima Yojana
C.
Mahatma Gandhi National Rural Employment Guarantee Act
D.
National Rural Livelihood Mission
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Solution
Ayushman Bharat is aimed at providing health insurance to the poor, covering hospitalization costs.
Correct Answer:
A
— Ayushman Bharat
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Q. Which of the following schemes is aimed at providing skill development to the youth of India? (2015)
A.
Make in India
B.
Skill India
C.
Digital India
D.
Startup India
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Solution
The Skill India initiative aims to provide skill development and enhance the employability of the youth in India.
Correct Answer:
B
— Skill India
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Q. Which of the following schemes is aimed at skill development for youth in India? (2015)
A.
Make in India
B.
Skill India
C.
Digital India
D.
Startup India
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Solution
The Skill India initiative aims to provide skill development training to the youth of India to enhance their employability.
Correct Answer:
B
— Skill India
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Q. Which of the following schemes is aimed at skill development for youth? (2015)
A.
Make in India
B.
Skill India Mission
C.
Digital India
D.
Startup India
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Solution
The Skill India Mission is aimed at providing skill development and enhancing employability for the youth.
Correct Answer:
B
— Skill India Mission
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Q. Which of the following schemes is specifically designed for the welfare of Scheduled Castes and Scheduled Tribes?
A.
Pradhan Mantri Ujjwala Yojana
B.
Post Matric Scholarship Scheme
C.
Atal Pension Yojana
D.
Digital India Initiative
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Solution
The Post Matric Scholarship Scheme is designed to provide financial assistance to students from Scheduled Castes and Scheduled Tribes.
Correct Answer:
B
— Post Matric Scholarship Scheme
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Q. Which of the following statements about gases is true? (2022)
A.
Gases have a definite shape and volume
B.
Gases are incompressible
C.
Gases fill the entire volume of their container
D.
Gases have a fixed molecular arrangement
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Solution
Gases fill the entire volume of their container due to the high kinetic energy of their particles, allowing them to spread out.
Correct Answer:
C
— Gases fill the entire volume of their container
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Q. Which of the following statements is true about the function f(x) = 1/(x-1)? (2022)
A.
Continuous at x = 1
B.
Continuous everywhere
C.
Not continuous at x = 1
D.
Continuous at x = 0
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Solution
The function f(x) = 1/(x-1) is not continuous at x = 1 because it is undefined there.
Correct Answer:
C
— Not continuous at x = 1
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Q. Which of the following statements is true about the function f(x) = 1/(x-3)?
A.
Continuous at x = 3
B.
Continuous everywhere
C.
Not continuous at x = 3
D.
Continuous at x = 0
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Solution
The function f(x) = 1/(x-3) is not defined at x = 3, hence it is not continuous at that point.
Correct Answer:
C
— Not continuous at x = 3
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Q. Which of the following statements is true about the function f(x) = |x|?
A.
Continuous everywhere
B.
Discontinuous at x = 0
C.
Continuous only at x = 1
D.
Discontinuous everywhere
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Solution
The function f(x) = |x| is continuous everywhere, including at x = 0.
Correct Answer:
A
— Continuous everywhere
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Q. Which of the following statements is true about variance? (2020)
A.
It can be negative
B.
It is always positive
C.
It is the average of the data
D.
It is the sum of the data
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Solution
Variance is always non-negative as it is calculated as the average of squared deviations from the mean.
Correct Answer:
B
— It is always positive
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Q. Which of the following statements is true regarding the function f(x) = 1/(x-3)?
A.
Continuous at x = 3
B.
Discontinuous at x = 3
C.
Continuous everywhere
D.
Discontinuous everywhere
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Solution
The function f(x) = 1/(x-3) is discontinuous at x = 3 because it is undefined at that point.
Correct Answer:
B
— Discontinuous at x = 3
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Q. Which of the following statements is true regarding the function f(x) = |x|?
A.
Continuous everywhere
B.
Discontinuous at x = 0
C.
Continuous only for x > 0
D.
Discontinuous for x < 0
Show solution
Solution
The function f(x) = |x| is continuous everywhere, including at x = 0.
Correct Answer:
A
— Continuous everywhere
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Q. Which of the following statements is true regarding the International Date Line? (2019)
A.
It is located at 180° longitude
B.
It is a straight line
C.
It is not recognized by all countries
D.
All of the above
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Solution
The International Date Line is approximately at 180° longitude, is not a straight line, and is not recognized by all countries.
Correct Answer:
D
— All of the above
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Q. Which of the following statements is true regarding time zones? (2019)
A.
Time zones are always 30 degrees apart.
B.
Time zones can vary in width.
C.
All countries have the same time zone.
D.
Time zones are based on latitude.
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Solution
Time zones can vary in width due to political and geographical reasons, not strictly based on longitude.
Correct Answer:
B
— Time zones can vary in width.
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Q. Which of the following states is known for its desert?
A.
Punjab
B.
Rajasthan
C.
Gujarat
D.
Haryana
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Solution
Rajasthan is known for its desert, particularly the Thar Desert.
Correct Answer:
B
— Rajasthan
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Q. Which of the following states is known for its tea production?
A.
Assam
B.
Kerala
C.
Gujarat
D.
Maharashtra
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Solution
Assam is known for its extensive tea production.
Correct Answer:
A
— Assam
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Q. Which of the following states is the largest producer of tea in India? (2022)
A.
Assam
B.
West Bengal
C.
Kerala
D.
Tamil Nadu
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Solution
Assam is the largest producer of tea in India.
Correct Answer:
A
— Assam
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Q. Which of the following states of matter can conduct electricity?
A.
Solid
B.
Liquid
C.
Gas
D.
All of the above
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Solution
All states of matter can conduct electricity under certain conditions, but liquids and solids are more common conductors.
Correct Answer:
D
— All of the above
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Q. Which of the following states of matter can flow?
A.
Solid
B.
Liquid
C.
Gas
D.
Both Liquid and Gas
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Solution
Both liquids and gases can flow due to the freedom of movement of their particles.
Correct Answer:
D
— Both Liquid and Gas
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