Verbal Reasoning - Cube and Cuboid - Discussion

The following questions are based on the information given below:

  1. A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height.
  2. Two faces measuring 4 cm x 1 cm are coloured in black.
  3. Two faces measuring 6 cm x 1 cm are coloured in red.
  4. Two faces measuring 6 cm x 4 cm are coloured in green.
  5. The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm(from 4 cm side).


How many cubes will remain if the cubes having black and green coloured are removed ?

[A]. 4
[B]. 8
[C]. 12
[D]. 16

Answer: Option D


Number of small cubes which are Black and Green is 8 in all.

Hence, the number of remaining cubes are = 24 - 8 = 16

Shilpy said: (Aug 28, 2011)  
Here the no. of cubes with black and green colour are 12.

Hence no. of remaining cubes are=24-12=12.

Is it correct?

Dhiraj said: (Sep 18, 2011)  
All no of cubes which colored by green and black both = 8.

Because black colored in left and right both sides,

When we remove these two sides we will have only. 16 small cubes.

Those colored only with red & green.

Do you understand shilpi.

Chaitanya Reddy.M said: (Jan 6, 2012)  
Here 6x4 small cubes are there so from top view from one side 2 small cubes and from another side 2cubes that is total 4cubes from top view and from bottom view their are 4cube total 8 cubes which are having only two colors black and green,those are removed from the total number of cube that is 24-8=16.

So ans is 16 cubes

Krishna said: (Jun 24, 2013)  
A hollow cube of size 5 cm is taken and thickness of 1 cm. Right is made of smaller cubes of size 1 cm. If 4 faces of outer surface of the cube are painted. Totally how many faces of smaller cubes are unpainted.

Angel said: (Aug 15, 2013)  
The word "only" is missing.

Hence when we say black and green colored cubes.

It includes all the cubes which are black in colour and all the cubes which are green in colour.

Neeraj said: (Aug 17, 2013)  
Why we include corner cubes. There are only 4 cubes with only Black and Green color. 4 cubes with Red, Black and Green colors and 8 cubes with only Green color, 8 cubes with Green and Red color.

According to Question We have to consider cubes with only Black and Green color and no other color. Right now we are considering 4 cubes (with only black and Green color) and 4 corner cubes (with all the three colors Black+Green+red) for counting total number of Black and green cubes.

So Answer should be 24-4 = 20.

Sandeep said: (Feb 17, 2014)  
Ya @Neeraj you are right. I agree with you. So finally what should be our answer for the given statement? 24 or 16.

Anish said: (Jul 19, 2015)  
Total no. of cubes colored with black and green = 4.

Total no. of cubes = 6*4*1 = 24.

Answer: 24-4 = 20.

Hence answer should be 20 not 16 according to question.

Harsh said: (Jul 28, 2015)  
I''mm agree with @Anish.

Answer must be 20 according to question asked.

Santhosh Subramanyam said: (Sep 6, 2015)  
I agree with @Anish but in question they didn't asked only green and black.

According to question there is a possibility to consider 3 colours.

Bhuwan said: (Feb 17, 2016)  
@Neeraj consider cubes with only Black and Green color. I don't find the word "only". Read question carefully How many cubes will remain if the cubes having black and green coloured are removed?

Correct answer: 16.


Sonika said: (Mar 6, 2017)  
I'm not able to understand the cubes, please help me out.

Devanshi said: (Jul 9, 2018)  
Well, its given cubes having black and green, but it's not mentioned that it cannot have a red color, so the cubes that have black and green both colour are the cubes present in the left and right corners, which sum up to 8.

Thus remaining 16 cubes are left.

So, the answer is 16.

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