Q. The measure of the average kinetic energy of the particles in a substance is called _____. (2021)
A.
Temperature
B.
Heat
C.
Pressure
D.
Volume
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Solution
Temperature is a measure of the average kinetic energy of the particles in a substance.
Correct Answer: A — Temperature
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Q. The measure of the average kinetic energy of the particles in a substance is known as _____. (2021)
A.
Temperature
B.
Heat
C.
Pressure
D.
Volume
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Solution
Temperature is a measure of the average kinetic energy of the particles in a substance.
Correct Answer: A — Temperature
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Q. The median of the data set: 2, 3, 5, 7, 11, 13 is?
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Solution
Arranging the numbers: 2, 3, 5, 7, 11, 13. Median = (5 + 7) / 2 = 6.
Correct Answer: C — 7
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Q. The Mid-Day Meal Scheme in India was initiated to address which of the following issues? (1995)
A.
Unemployment
B.
Malnutrition
C.
Illiteracy
D.
Child Labor
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Solution
The Mid-Day Meal Scheme was launched in 1995 to improve the nutritional status of school-age children and combat malnutrition.
Correct Answer: B — Malnutrition
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Q. The minimum value of the function f(x) = x^4 - 8x^2 + 16 is:
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Solution
Finding the derivative f'(x) = 4x^3 - 16x. Setting f'(x) = 0 gives x = 0, ±2. Evaluating f(0) = 16, f(2) = 0, and f(-2) = 0, the minimum value is 0.
Correct Answer: A — 0
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Q. The mode of the data set: 1, 2, 2, 3, 4, 4, 4, 5, 5 is?
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Solution
Mode is the number that appears most frequently, which is 4.
Correct Answer: C — 4
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Q. The modulus of resilience is defined as:
A.
The energy per unit volume stored in a material up to the yield point
B.
The total energy absorbed by a material before fracture
C.
The ratio of stress to strain
D.
The maximum stress a material can withstand
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Solution
The modulus of resilience is the energy per unit volume stored in a material up to the yield point.
Correct Answer: A — The energy per unit volume stored in a material up to the yield point
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Q. The moment of inertia of a composite body can be calculated using which theorem?
A.
Pythagorean theorem
B.
Parallel axis theorem
C.
Perpendicular axis theorem
D.
Conservation of energy
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Solution
The moment of inertia of a composite body can be calculated using the parallel axis theorem.
Correct Answer: B — Parallel axis theorem
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Q. The moment of inertia of a hollow cylinder about its central axis is given by which formula?
A.
1/2 MR^2
B.
MR^2
C.
1/3 MR^2
D.
2/3 MR^2
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Solution
The moment of inertia of a hollow cylinder about its central axis is I = MR^2.
Correct Answer: B — MR^2
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Q. The moment of inertia of a system of particles is calculated by summing which of the following?
A.
Mass times distance from the axis
B.
Mass times square of distance from the axis
C.
Mass times angular velocity
D.
Mass times linear velocity
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Solution
The moment of inertia is calculated by summing the mass of each particle times the square of its distance from the axis of rotation: I = Σ(m_i * r_i²).
Correct Answer: B — Mass times square of distance from the axis
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Q. The Montagu-Chelmsford Reforms of 1919 aimed to achieve which of the following? (1919)
A.
Complete independence for India
B.
Increased Indian participation in governance
C.
Establishment of a federal structure
D.
Promotion of communal harmony
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Solution
The Montagu-Chelmsford Reforms aimed to increase Indian participation in governance through the introduction of dyarchy in the provinces.
Correct Answer: B — Increased Indian participation in governance
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Q. The movie was directed by the famous director. What is the active voice of this sentence? (2023)
A.
The famous director directs the movie.
B.
The famous director is directing the movie.
C.
The famous director directed the movie.
D.
The movie is directed by the famous director.
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Solution
In active voice, we focus on the director's action, resulting in 'The famous director directed the movie.'
Correct Answer: C — The famous director directed the movie.
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Q. The movie was so ___ that everyone left the theater.
A.
boring
B.
exciting
C.
thrilling
D.
captivating
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Solution
The word 'boring' explains why everyone would leave the theater.
Correct Answer: A — boring
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Q. The Mughal Empire's expansion into the Deccan region was significantly influenced by which neighboring kingdom?
A.
Vijayanagara Empire
B.
Bahmani Sultanate
C.
Chola Dynasty
D.
Maratha Confederacy
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Solution
The Bahmani Sultanate was a significant neighboring kingdom that influenced the Mughal Empire's expansion into the Deccan region, leading to various military and political interactions.
Correct Answer: B — Bahmani Sultanate
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Q. The National Rural Livelihood Mission (NRLM) was launched in which year to promote self-employment and organization of rural poor? (2011)
A.
2005
B.
2011
C.
2015
D.
2018
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Solution
The National Rural Livelihood Mission (NRLM) was launched in 2011 to promote self-employment and organization of rural poor into self-help groups.
Correct Answer: B — 2011
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Q. The New Economic Policy introduced in 1991 marked a significant shift in India's economic strategy. What was its primary focus? (1991)
A.
Socialism
B.
Liberalization and globalization
C.
Protectionism
D.
Agricultural reforms
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Solution
The New Economic Policy of 1991 focused on liberalization and globalization, moving away from the previous socialist policies.
Correct Answer: B — Liberalization and globalization
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Q. The new policy was implemented to __________ the existing issues within the organization, which had been causing inefficiencies. (2023)
A.
exacerbate
B.
ameliorate
C.
ignore
D.
complicate
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Solution
To address existing issues and improve efficiency indicates that the policy aims to ameliorate the problems.
Correct Answer: B — ameliorate
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Q. The Nobel Prize in Literature is awarded for what?
A.
Outstanding contribution to science
B.
Outstanding contribution to literature
C.
Outstanding contribution to peace
D.
Outstanding contribution to economics
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Solution
The Nobel Prize in Literature is awarded for outstanding contributions to literature.
Correct Answer: B — Outstanding contribution to literature
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Q. The Nobel Prize in Peace is awarded in which country? (1901)
A.
Sweden
B.
Norway
C.
Finland
D.
Denmark
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Solution
The Nobel Peace Prize is awarded in Norway, while other Nobel Prizes are awarded in Sweden.
Correct Answer: B — Norway
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Q. The Nobel Prize in Physics is awarded for contributions in which field? (2020)
A.
Chemistry
B.
Physics
C.
Literature
D.
Peace
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Solution
The Nobel Prize in Physics is specifically awarded for outstanding contributions in the field of physics.
Correct Answer: B — Physics
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Q. The Nobel Prize is awarded in which of the following fields? (1901)
A.
Literature
B.
Peace
C.
Physics
D.
All of the above
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Solution
The Nobel Prize is awarded in several categories including Literature, Peace, Physics, Chemistry, Medicine, and Economic Sciences.
Correct Answer: D — All of the above
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Q. The Non-Aligned Movement was founded during which conference? (1955)
A.
Bandung Conference
B.
Brussels Conference
C.
Tehran Conference
D.
Yalta Conference
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Solution
The Non-Aligned Movement was founded during the Bandung Conference in 1955, where leaders from various countries sought to create a third path in the Cold War.
Correct Answer: A — Bandung Conference
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Q. The Non-Cooperation Movement was launched in response to which of the following events? (1919)
A.
Jallianwala Bagh Massacre
B.
Rowlatt Act
C.
Simon Commission
D.
Partition of Bengal
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Solution
The Non-Cooperation Movement was launched in response to the Jallianwala Bagh Massacre of 1919, which galvanized Indian opinion against British rule.
Correct Answer: A — Jallianwala Bagh Massacre
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Q. The novel's protagonist is characterized by her __________ nature, often putting others' needs before her own. (2023)
A.
selfish
B.
altruistic
C.
indifferent
D.
egotistical
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Solution
Putting others' needs before her own indicates an altruistic nature.
Correct Answer: B — altruistic
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Q. The novel's protagonist is portrayed as a ______ character, whose moral dilemmas reflect the complexities of human nature.
A.
one-dimensional
B.
stereotypical
C.
multifaceted
D.
predictable
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Solution
The phrase 'moral dilemmas reflect the complexities' suggests that the character is complex, making 'multifaceted' the best choice.
Correct Answer: C — multifaceted
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Q. The pair of lines represented by the equation 2x^2 + 3xy + y^2 = 0 has slopes:
A.
-1, -2
B.
1, 2
C.
0, ∞
D.
1, -1
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Solution
The slopes can be found by solving the quadratic equation in terms of m, yielding slopes -1 and -2.
Correct Answer: A — -1, -2
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Q. The pair of lines represented by the equation 2x^2 + 3xy + y^2 = 0 has:
A.
Two distinct real roots
B.
One real root
C.
No real roots
D.
Two complex roots
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Solution
The discriminant of the quadratic equation is positive, indicating two distinct real roots.
Correct Answer: A — Two distinct real roots
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Q. The pair of lines represented by the equation 2x^2 - 3xy + y^2 = 0 has slopes m1 and m2. What is the product m1*m2?
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Solution
The product of the slopes of the lines is given by m1*m2 = c/a = 1/2 = -2.
Correct Answer: A — -2
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Q. The pair of lines represented by the equation 4x^2 - 12xy + 9y^2 = 0 are:
A.
Parallel
B.
Intersecting
C.
Coincident
D.
Perpendicular
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Solution
Factoring gives (2x - 3y)(2x - 3y) = 0, indicating the lines are coincident.
Correct Answer: D — Perpendicular
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Q. The pair of lines represented by the equation 5x^2 + 6xy + 2y^2 = 0 has:
A.
Two distinct real roots
B.
One real root
C.
No real roots
D.
Infinite roots
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Solution
The discriminant of the quadratic equation is positive, indicating two distinct real roots.
Correct Answer: A — Two distinct real roots
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