1
Q:

A sphere of radius 4 cm is melted and recast into smaller spheres of radii 2 cm each. How many such spheres can be made?

 

 

A) 8 B) 32
C) 4 D) 16

Answer:   A) 8



Explanation:
Q:

In triangle ABC, the length of BC is less than twice the length of AB by 2 cm. The length of AC exceeds the length of AB by 10 cm. The perimeter is 32 cm. The length (in cm)of the smallest side of the triangle is:

 

A) 10 B) 4
C) 6 D) 8
 
Answer & Explanation Answer: C) 6

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0 189
Q:

In triangle ABC, the length of BC is less than twice the length of AB by 3 cm. The length of AC exceeds the length of AB by 9 cm. The perimeter of triangle is 34 cm. The length (in cm) of the smallest side of the triangle is:

 

A) 9 B) 10
C) 8 D) 7
 
Answer & Explanation Answer: D) 7

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2 295
Q:

A circle is inscribed in a triangle ABC. It touches sides AB, BC and AC at the points P, Q and R respectively. If BP = 5.4 cm, CQ =7.3 cm and AR = 6.1 cm, then the perimeter (in cm) of the ABC is:

 

A) 37 B) 37.6
C) 37.25 D) 36
 
Answer & Explanation Answer: B) 37.6

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1 256
Q:

There are two circles of radius 5 cm and 3 cm respectively. The distance between their centres is 10 cm. The length (in cm) of a transverse common tangent is:

 

A) 9 B) 8
C) 10 D) 6
 
Answer & Explanation Answer: D) 6

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0 206
Q:

In triangle ABC, the length of BC is less than twice the length of AB by 3 cm. The length of the AC exceeds the length of AB by 1 cm. The perimeter of the triangle is 34 cm. The length (in cm) of the smallest side of the triangle is:

 

A) 10 B) 7
C) 9 D) 8
 
Answer & Explanation Answer: C) 9

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0 236
Q:

If each side of a rectangle is increased by 13%, then its area will increase by:

 

A) 27.69% B) 13%
C) 26% D) 21.69%
 
Answer & Explanation Answer: A) 27.69%

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0 5933
Q:

Chords AB and CD of a circle intersect externally at P. If AB = 6 cm, CD = 3 cm and PB = 4 cm, then the length (in cm) of PD is:

 

A) 5 B) 7
C) 6 D) 2
 
Answer & Explanation Answer: A) 5

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0 234
Q:

There is a polygon of 11 sides. How many triangles can be drawn by only using the vertices of the polygon?

 

A) 180 B) 150
C) 165 D) 175
 
Answer & Explanation Answer: C) 165

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0 248