18
Q:

A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?

A) 2 : 1 B) 3 : 2
C) 25 : 18 D) 27 : 20

Answer:   C) 25 : 18



Explanation:

Volume of the large cube = 33+43+53 = 216 cu.cm. 

Let the edge of the large cube be a. 

So, a3= 216 

=>a = 6 cm. 

Required ratio = 632+42+52662=2518

Q:

Find the surface area (in cm2) of a sphere of diameter 28 cm.

 

A) 3422   B) 3852  
C) 2464   D) 3550
 
Answer & Explanation Answer: C) 2464  

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3 8718
Q:

What is the measure of an interior angle of a regular polygon of 8 sides?

 

A) 140 B) 144
C) 135 D) 150
 
Answer & Explanation Answer: C) 135

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0 3636
Q:

Find the volume (in cm3) of a right circular cone of diameter 7 cm and height 7 cm.

 

A) 69.06   B) 16.43  
C) 11.15   D) 89.83
 
Answer & Explanation Answer: D) 89.83

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0 5709
Q:

∆PQR is right angled at Q. If m∠P = 60 deg, then find the value of (secR + 1/2).

 

A) (2√2+√3)/2   B) (√3+4)/2√3
C) √3+2   D) 5/6
 
Answer & Explanation Answer: B) (√3+4)/2√3

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0 2886
Q:

Find the volume (in cm3) of a hemisphere of diameter 7 cm.

 

A) 77   B) 63  
C) 89.83   D) 54.13
 
Answer & Explanation Answer: C) 89.83  

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0 2929
Q:

In ΔPQR measure of angle Q is 90 deg. If tanP = 24/7, and PQ = 14cm, then what is the length (in cm) of side QR?

 

A) 50 B) 20
C) 26 D) 48
 
Answer & Explanation Answer: D) 48

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1 278
Q:

Find the surface area (in sq.cm) of a sphere of diameter 14 cm.

 

A) 616   B) 4699  
C) 8628   D) 6922
 
Answer & Explanation Answer: A) 616  

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3 5551
Q:

If the edge of a cube is increased by 3 cm, the volume will increase by 657 cub.cm. What then is the original length of each edge of the cube?

A) 9 cm B) 6 cm
C) 8 cm D) 7 cm
 
Answer & Explanation Answer: B) 6 cm

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3 487