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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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Filed Under: English
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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.
Get up on the wrong side of the bed

A) Make a wrong decision and regret it for the rest of the life B) Start the day in a bad mood, which continues all day long
C) Have a sleepless night especially due to worries D) Suffer an uncomfortable stay at an unfamiliar place
 
Answer & Explanation Answer: B) Start the day in a bad mood, which continues all day long

Explanation:
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Q:

In each of the questions, four alternatives are given for the Idiom/Phrase. Choose the alternative which best expresses the meaning of the Idiom/Phrase and click the button corresponding to it.

To put a spoke in one's wheel

A) To repair one's cycle B) To hinder
C) To trip a rider D) To add an extra wheel
 
Answer & Explanation Answer: B) To hinder

Explanation:
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Q:

In the following question, out of the four alternatives, select the alternative which will improve the bracketed part of the sentence. In case no improvement is needed, select "no improvement".

A small makeshift stage (was construct) with a red curtain for a backdrop.

A) are constructed B) was constructed
C) were constructed D) No improvement
 
Answer & Explanation Answer: B) was constructed

Explanation:
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Q:

If the measures of the angles of a triangle are in the ratio. 1:2:3 and if the length of the smallest side of the triangle is 10cm, then the length of the longest side is

A) 20cm B) 22cm
C) 24cm D) 18cm
 
Answer & Explanation Answer: A) 20cm

Explanation:
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Filed Under: Quantitative Aptitude - Arithmetic Ability
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Q:

If rsin∅ =1, rcos∅=√3, then the value of r2tan∅ is

A) 4 B) 1/√3
C) 4/√3 D) 4√3
 
Answer & Explanation Answer: C) 4/√3

Explanation:
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Filed Under: Quantitative Aptitude - Arithmetic Ability

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Q:

If two successive discounts of 50% and 10% are offered, then what is the net discount (in %)?

A) 50 B) 55
C) 60 D) 65
 
Answer & Explanation Answer: B) 55

Explanation:
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Filed Under: Quantitative Aptitude - Arithmetic Ability
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Q:

In which way the President can assign any of the functions of the Union Government to the State Government ?

A) In his discretion B) In consultation with the Chief Justice of India
C) In consultation with the Government of the State D) In consultation with the State Governor
 
Answer & Explanation Answer: C) In consultation with the Government of the State

Explanation:
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Filed Under: Indian Politics

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