Latest CTS Aptitude Question SOLUTION: A cube is cut into 216 parts. the 2nd 4th n 6th layers of the front face r removed n den painted black. Now answer d following questions. 1) How many cubes r painted on only one si

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(#M40032941) CTS Numerical Ability question cube problem Keep an EYE

A cube is cut into 216 parts. the 2nd 4th n 6th layers of the front face r removed n den painted
black. Now answer d following questions.
1) How many cubes r painted on only one side?
2) How many cubes r painted on only 2 sides?
3) How many cubes r painted on only 3 sides?
4) How many cubes r painted on only 4 sides?
5) How many cubes r painted 0 sides?

Asked In CTS bikash ranjan sahoo (10 years ago)

Unsolved Read Solution (11)

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Read Solution (11) :

moumitabhakat  (10 years ago)

No. of cubes=(sides)^3
then,216=(sides)^3
sides=6
In cube total six face but in ques 3 face r removed then only 3 face r there.
no of cubes painted only one side=(x-2)^2* no. of faces
=(6-2)^2*3
=48
no of cubes painted only 2 sides=(x-2)*no. of edges
=4*12
=48
no of cubes painted only 3 sides=8 always
because there are 8 corner in cubes
no.of cubes painted 0 sides=(x-2)^3
=4^3=64

but in 4 sides i dont know.

Is this solution Helpfull? Yes (19) | No (2)  

saipratyusha   (10 years ago)

let n be the sides
216 =n^3
6^3=n^3
so n=6
and friends these are the direct formula to know number of sides painted
o sides painted--->(n-2)^3
1 side painted---> 6(n-2)^2
2 sides painted--->12(n-2)
3 sides painted--->8
for 4 sides i dont know ..

Is this solution Helpfull? Yes (7) | No (3)  

mayuri nanhe  (10 years ago)

1.96
2.48
3.8
4.0
5.64

Is this solution Helpfull? Yes (6) | No (2)  

DHAKAD NEETENDRA SINGH  (10 years ago)

1. 2[4+4+16]=48
2. 2[16+2]=36
3. 8
4. 0
5. 16

Is this solution Helpfull? Yes (5) | No (4)  

Parul  (10 years ago)

1.96
2.48
3.8
4.0
5.64

Is this solution Helpfull? Yes (4) | No (1)  

Banishree Achary  (10 years ago)

1=80
2=24
3=4
4=0
5=108

Is this solution Helpfull? Yes (1) | No (1)  

prasanna  (10 years ago)

1 ans 68=12+12+16+16+12

Is this solution Helpfull? Yes | No (1)  

divya  (10 years ago)

consider tht layers are painted after removal of the layers in between them..
1)0
2)48
3)48
4)12
5)0

Is this solution Helpfull? Yes | No (1)  

saat  (10 years ago)

pls tell the correct answer ... @moumitabhakat is the formulae and the ans ryt??..just let me know thnku

Is this solution Helpfull? Yes | No (1)  

Jds  (10 years ago)

1.0
2.48
3.48
4.12
5.108

Is this solution Helpfull? Yes | No (1)  

Vernika chauhan  (5 years ago)

2faces painted=4x12=48
3faces painted=8
1face painted=16x6=96
0face painted=total edge-(sum of all side painted) =216-(8+48+96)=64

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