Questions

Q:

A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder.

Consider the following statements:

1) The surface area of the sphere is √5 Times the curved surface area of the cone.

2) The surface area of the cube is equal to the curved surface area of the cylinder. Which of the above statements is/are correct?

 

A) 1 only B) 2 only
C) Both 1 and 2  D) Neither 1 nor 2
 
Answer & Explanation Answer: D) Neither 1 nor 2

Explanation:
The top view of the given assembly will look like the figure above
Outermost is the sphere. Inside that there is a cube and within that there is a cone and cylinder with same radius.
Here side of cube = a
Diameter of Sphere = body diagnol = √3 a
Radius of sphere = √3 a/2 =r1
Height of Cylinder = Height of cone = side of cube = a =h
Radius of cylinder = Radius of cone = side of cube/2 = a/2 =r2(as shown in the figure)
 
Thus neither 1 nor 2 are true
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Q:

Read the passage carefully and select the best answer to each question out of the given four alternatives.

 

By practicing mindfulness and other principles, we become more aware of and present to our fears and others’ fears, bearing witness as a way of healing and empowering. We see the spiritual path as intertwined with the path of social action, with contemplation and action parts of the same whole, each nourishing and guiding the other. Acknowledging that our well-being depends on others makes caring for others’ well-being a moral responsibility.


Through a “mindful citizen” exercise, we create a story articulating who we are as individuals who are also part of communities. This exercise helps us move beyond cynicism, complacency, and despair, instead infusing us with a sense of purpose. We embrace our gifts, resolving to do our part to promote a sense of common humanity as a means toward social justice.


With this exercise, I believe we can help students bridge their divides and replace anger and distrust with compassionate connections – just as I witnessed between Shirley and Tiffany.


Shirley returned to class after a brief hiatus, keeping a cool distance from Tiffany. But over the weeks spent together they gradually came to know each other. They practiced seeing and listening, sharing stories so different that they felt bewildered as to how they could overcome the gap. But they found that acknowledging their differences led them to discover a place of deep connection in commonalities, such as being raised by grandmothers, and even wounds, including childhood trauma, that they never imagined existed.


In assessments of these classes, students say that these small groups become “healing communities,” where we overcome victimization and claim agency. Healing occurs as we transcend an “us vs. them” mentality, crossing borders and forging connections. These communities show a way of reducing intergroup prejudice and fostering inclusion based in psychology research and pedagogical practice.

 

What does the “mindful citizen” exercise help us in?

A) To be cynical B) Live in despair
C) Be complacent D) To get purpose of life
 
Answer & Explanation Answer: D) To get purpose of life

Explanation:
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Q:

Out of the four alternatives, choose the one which can be substituted for the given words/sentences and click the button corresponding to it.

That which cannot be believed

A) Awesome B) Incredible
C) Credible D) Ineffective
 
Answer & Explanation Answer: B) Incredible

Explanation:
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Q:

In the following question, out of the four alternatives, choose the word which is opposite in meaning to the given word and click the button corresponding to it.

VIRTUE

A) WILES B) CURSE
C) VICE D) CUNNING
 
Answer & Explanation Answer: C) VICE

Explanation:
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Q:

In the following questions, one part of the sentence may have an error. Find out which part of the sentence has an error and click the button corresponding to it. If the sentence is free from error, click the "No error" option.

Too great a (A)/ variety of studies (B)/ distract the mind (C)/ No Error (D)

A) A B) B
C) C D) D
 
Answer & Explanation Answer: C) C

Explanation:
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Q:

A sentence/a part of the sentence is underlined. Four alternatives are given to the underlined part which will improve the sentence. Choose the correct alternative and click the button corresponding to it. In case no improvement is needed, click the button corresponding to "No improvement".

The artist claims to have royal blood in his veins.

A) hand B) head
C) forehead D) No improvement
 
Answer & Explanation Answer: D) No improvement

Explanation:
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Q:

Out of the four alternatives, choose the one which can be substituted for the given words/sentences and click the button corresponding to it.

The study of skin

A) Dermatology B) Dermatoglyphics
C) Stratigraphy D) Oncology
 
Answer & Explanation Answer: A) Dermatology

Explanation:
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Q:

In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase.

Keep under one's hat

A) Keep all your wealth in your home B) To keep something a secret
C) Steal and hide something D) Take care of somebody else's valuables given to you for safe keeping
 
Answer & Explanation Answer: B) To keep something a secret

Explanation:
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