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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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Filed Under: Area
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Q:

ABCDEF is a regular hexagon of side 12 cm. What is the area (in cm2) of the triangle ECD?

A) 18√3 B) 24√3
C) 36√3 D) 42√3
 
Answer & Explanation Answer: C) 36√3

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Q:

PQR is a triangle, whose area is 180 cm2. S is a point on side QR, such that PS is the angle bisector of ∠QPR. If PQ : PR = 2 : 3, then what is the area (in cm2) triangle PSR?

A) 90 B) 108
C) 144 D) 72
 
Answer & Explanation Answer: B) 108

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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 triangle XYZ, G is the centroid. If XY = 11 cm, YZ = 14 cm and XZ = 7 cm, then what is the value (in cm) of GM ?

 

A) 6 B) 4
C) 2 D) 3
 
Answer & Explanation Answer: C) 2

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Q:

In the given figure, in triangle STU, ST = 8 cm,TU = 9 cm and SU = 12 cm. QU = 24 cm, SR = 32 cm and PT = 27 cm. What is the ratio of the area of triangle PQU and area of triangle PTR?

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

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Filed Under: Volume and Surface Area
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Q:

The angles of elevation of the top of a tower 72 metre high from the top and bottom of a building are 30° and 60° respectively. What is the height (in metres) of building?

A) 42 B) 20√3
C) 24√3 D) 48
 
Answer & Explanation Answer: D) 48

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Filed Under: Height and Distance
Exam Prep: Bank Exams