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# Logical Reasoning Problem 10

 A wooden cuboid of dimensions 9 x 7 x 5 unit is painted in a fixed pattern. (i) The two opposite faces in the front and back are painted in red with 9 x 7 cuts. (ii) The other two opposite faces on the sides are painted in green with 7 x 5 cuts. (iii) The remaining top and bottom faces are painted in blue. The cuboid is cut into 315 small cubes.
 1. How many cubes have all the three faces coloured ? (a) 8 (b) 32 (c) 24 (d) None of these
 2. How many cubes have two faces coloured ? (a) 60 (b) 142 (c) 105 (d) None of these
 3. How many cubes have one face coloured ? (a) 142 (b) 105 (c) 71 (d) None of these
 4. How many cubes have no face coloured ? (a) 142 (b) 60 (c) 105 (d) None of these
 5. How many cubes have two faces coloured, that too Red and Green ? (a) 14 (b) 20 (c) 32 (d) None of these

Detailed Video Solution

### 1 comment

1. Nishant Dhote

Ans
1) A
2) A
3) A
4) C
5) B
.
Solution: 1) 8 Corner (With 3 Clr)

2) (7+5+3)*4=60
(L+B+H)*Sides
L=9-2Clr
B=7-2clr
H=5-2clr
Cube Side=4

3) (15+35+21)*2=142
First Draw Cube Sketch then Solve

4) 7*5*3=105
l*b*h
L=9-2Clr
B=7-2clr
H=5-2clr