Exams Questions and Answers

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.

What is the ratio of the volume of the sphere to that of cone?

A) 6√3:1	B) 7 : 2
C) 3√3:1	D) 5√3:1

Answer & Explanation Answer: A) 6√3:1

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)

Volume of sphere/volume of cone =

\frac{\frac{4}{3} {πr}_{1}^{3}}{\frac{1}{3} {πr}_{2}^{2} h}

= 6√3:1

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Filed Under: Volume and Surface Area
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Q:

What is the role of Pneumatophores?

A) Protect plant from animals	B) Get oxygen for respiration
C) Supports plant in standing upright	D) Helps plant for pollination

Answer & Explanation Answer: B) Get oxygen for respiration

Explanation:

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Filed Under: Biology
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Q:

Who pioneered diagnostic ultrasound?

A) Alexander Fleming	B) Ian Donald
C) A. Laveran	D) Robert Koch

Answer & Explanation Answer: B) Ian Donald

Explanation:

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Filed Under: Inventions
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Q:

The outermost layer of the earth's atmosphere is _______.

A) stratosphere	B) troposphere
C) mesosphere	D) exosphere

Answer & Explanation Answer: D) exosphere

Explanation:

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Filed Under: General Science
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Q:

If a mirror is placed on the line MN, then which is the right image of the given figure

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: D) 4

Explanation:

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Filed Under: Image Analysis
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Q:

Consider the given statement/s to be true and decide which of the given conclusions/assumptions can definitely be drawn from the given statement.

Statements:

1. All parrots are chicks.
2. All birds are chicks.

Conclusions:

I. Some birds are parrots.
II. Some chicks are parrots.

A) Both conclusion I and conclusion II follow	B) None of the two conclusions follows
C) Only conclusion I follows	D) Only conclusion II follows

Answer & Explanation Answer: D) Only conclusion II follows

Explanation:

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Filed Under: Statement and Conclusions
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Q:

Which of the following gases is known as "Laughing Gas"?

A) Nitrous oxide	B) Nitrogen peroxide
C) Nitrogen	D) Nitric oxide

Answer & Explanation Answer: A) Nitrous oxide

Explanation:

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Filed Under: Chemistry
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Q:

A series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series.

0.05, -0.1, ? , -0.4, 0.8

A) -0.2	B) 0.25
C) -0.25	D) 0.2

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