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Q:

Diameter of wheel of a cycle is 21 cm. The cyclist takes 45 minutes to reach a destination at a speed of 16.5 km/hr. How many revolutions will the wheel make during the journey?

A) 12325 B) 18750
C) 21000 D) 24350
 
Answer & Explanation Answer: B) 18750

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Filed Under: Volume and Surface Area
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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.

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 = 43πr1313πr22h = 6√3:1
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Filed Under: Volume and Surface Area
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Q:

In the following question, out of the given four alternatives, select the one which is opposite in meaning of the given word.

Inept

A) Clumsy B) Artless
C) Inadept D) Skillful
 
Answer & Explanation Answer: D) Skillful

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Filed Under: English
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Q:

Syngamy results information of 

A) haploid zygote B) diploid zygote
C) non-motile male gametes D) motile male gametes
 
Answer & Explanation Answer: B) diploid zygote

Explanation:

Syngamy, also known as fertilisation occurs between the male and female gametes. Syngamy may occur either externally, outside the body of organisms or internally, inside the body. Syngamy leads to formation of a specialised cell called diploid zygote.

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Filed Under: Biology
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Q:

In the given figure, the length of arc BC of the given circle is 44 cm. If O is the centre of circle, then what is the radius (in cm) of the circle?

A) 7 B) 14
C) 28 D) 35
 
Answer & Explanation Answer: C) 28

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Filed Under: Volume and Surface Area
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Q:

If the average age of four children is 12 years and the average age of these children and their fathers is 20 years, what is the age of the father?

A) 52 years B) 48 years
C) 62 years D) 54 years
 
Answer & Explanation Answer: A) 52 years

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Filed Under: Problems on Ages
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Q:

When is International Olympic Day observed?

A) 16th August B) 2nd February
C) 18th December D) 23rd June
 
Answer & Explanation Answer: D) 23rd June

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Filed Under: Important Days and Years
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Q:

Among three numbers , second is twice the first and also thrice the third . If the average of the three numbers is 33 , then the largest number is

A) 36 B) 54
C) 62 D) 72
 
Answer & Explanation Answer: B) 54

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Filed Under: Problems on Numbers
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