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Q:

A prism has a regular hexagonal base with side 6 cm. If the total surface area of prism is 216√3 cm2, then what is the height (in cm) of prism?

A) 3√3 B)  6√3
C) 6 D) 3
 
Answer & Explanation Answer: A) 3√3

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Filed Under: Volume and Surface Area
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Q:

In the given figure, PQR is a quadrant whose radius is 7 cm. A circle is inscribed in the quadrant as shown in the figure. What is the area (in sq.cm) of the circle?

 

A) 385 – 221√2 B) 308 – 154√2
C) 154 – 77√2 D) 462 – 308√2
 
Answer & Explanation Answer: D) 462 – 308√2

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Q:

In the given figure, PQRS is a rectangle and a semicircle with SR as diameter is drawn. A circle is drawn as shown in the figure. If QR = 7 cm, then what is the radius (in cm) of the small circle ?

 

A) 21 + 14√2 B) 21 – 14√2
C) Both 21 + 14√2 and 21 – 14√2 D) None of these
 
Answer & Explanation Answer: B) 21 – 14√2

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Q:

In the given figure, ABCD is a square. EFGH is a square formed by joining mid points of sides of ABCD. LMNO is a square formed by joining mid points of sides of EFGH. A circle is inscribed inside EFGH. If area of circle is 38.5 sq.cm, the what is the area (in sq.cm) of square ABCD?

A) 98 B) 196
C) 122.5 D) 171.5
 
Answer & Explanation Answer: B) 196

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Q:

In the given figure, PQRS is a quadrilateral. If QR = 18 cmand PS = 9 cm,then what is the area (in sq. cm) of quadrilateral PQRS?

A) (64√3)/3 B) (177√3)/2
C) (135√3)/2 D) (98√3)/3
 
Answer & Explanation Answer: C) (135√3)/2

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Q:

In the given figure, P  is the center of the circle. If QS = PR, then what is the ratio of angles RSP to the TPR ?

A) 1 : 4 B) 2 : 5
C) 1 : 3 D) 2 : 7
 
Answer & Explanation Answer: C) 1 : 3

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Filed Under: Volume and Surface Area
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Q:

In the given figure, PQR is a right angled triangle at Q. If PQ = 35 cm and QS = 28 cm, then what is the value (in cm) of SR?

A) 35.33 B) 37.33
C) 41.33 D) 43.33
 
Answer & Explanation Answer: B) 37.33

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Q:

In the given figure, MNOP is a square of side 6 cm. What is the value ( in cm ) of radius of circle?

A) 4.25 B) 3.75
C) 3.5 D) 4.55
 
Answer & Explanation Answer: B) 3.75

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Filed Under: Volume and Surface Area
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