Aptitude Hack#93(27-5-19)

Question:

 How many spherical bullets can be made out of a lead cylinder 28cm high and with radius 6 cm, each bullet being 1.5 cm in diameter?

   A )   1795
   B )   1892
   C )   1772
   D )   1792

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Aptitude Hack#93(27-5-19)

Question:

 How many spherical bullets can be made out of a lead cylinder 28cm high and with radius 6 cm, each bullet being 1.5 cm in diameter?

   A )   1795
   B )   1892
   C )   1772
   D )   1792

Answer : D) 1792

Explaination : 

Volume of cylinder = (∏ x 6 x 6 x 28) cm3  

Volume of each bullet = ( 9∏/16) cm3.

 Number of bullets = 
  The volume of cylinder /Volume of bullet 

  = [(36 x 28)∏ x 16] /9∏ = 1792.

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Aptitude Hack#89(23-5-19)

Question:

A Cone, a hemisphere and a cylinder stand on equal bases and have the same height. Find the ratio of their volumes.

   A )   2:4:6
   B )   1:5:8
   C )   1:2:3
   D )   1:4:6

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Aptitude Hack#89(23-5-19)

Question:

A Cone, a hemisphere and a cylinder stand on equal bases and have the same height. Find the ratio of their volumes.

   A )   2:4:6
   B )   1:5:8
   C )   1:2:3
   D )   1:4:6

Answer: C) 1:2:3

Explanation:

 Let R be the radius of each

Height of the hemisphere = Its radius = R.

Height of each = R.

   Ratio of volumes 
= (1/3)∏ R2 x R : (2/3)∏R3 : ∏ R2 x R
 = 1:2:3

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Aptitude Hack#80(14-5-19)

Question:
The dimensions of an open box are 50 cm, 40 cm, and 23 cm. Its thickness is 2 cm. If 1 cubic cm of metal used in the box weighs 0.5 gms, find the weight of the box.

   A )   7.04 kg
   B )   6.04 kg
   C )   8.04 kg
   D )   9.04 kg

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Aptitude Hack#80(14-5-19)

Question:
The  dimensions of an open box are 50 cm, 40 cm, and 23 cm. Its thickness is 2 cm. If 1 cubic cm of metal used in the box weighs 0.5 gms, find the weight of the box.

   A )   7.04 kg
   B )   6.04 kg
   C )   8.04 kg
   D )   9.04 kg

Answer: C) 8.04 kg

Explanation :

The volume of the metal used in the box 
= external volume – internal volume

= [(50 * 40 * 23) – (44 * 34 * 20)]cm3

= 16080 cm3

Weight of the metal =((16080*0.5)/1000)kg
 = 8.04 kg.

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Aptitude Hack#63(27-4-19)

Question:

A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then the weight of the pipe is:

A. 3.6 kg

B. 3.696 kg

C. 36 kg

D. 36.9 kg

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Aptitude Hack#63(27-4-19)

Question:
A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then the weight of the pipe is:

A. 3.6 kg

B. 3.696 kg

C. 36 kg

D. 36.9 kg

Answer: B) 3.696 kg


Explanation:

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Aptitude Hack#57(21-4-19)

Question:

In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of the ground is:

A) 75 ㎥

B) 750 ㎥

C) 7500 ㎥

D) 75000 ㎥

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Aptitude Hack#57(21-4-19)

Question:

In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of the ground is:

A) 75 ㎥

B) 750 ㎥

C) 7500 ㎥

D) 75000 ㎥

Answer: B) 750 ㎥

Explanation:

1 hectare = 10,000 ㎡

So, Area = (1.5 x 10000) ㎡ = 15000 ㎡.

Depth = 5/100 m = 1/20 m.

Volume = (Area x Depth)
 =15000 X1/20 ㎥ = 750 ㎥.

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