Reasoning
ISBT Reasoning for all banking PO,Clerk,IBPS PO,Railway,SSC,IAS,OAS Exams
Q1. 

1)  12  2)  16 
3)  22  4)  28 
5)  None of these 
Answer : 22
Explanation : (3) Twentytwo cubes will have only one colour.
Explanation : (3) Twentytwo cubes will have only one colour.
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Q2. 

1)  8  2)  12 
3)  16  4)  20 
5)  None of these 
Answer : 12
Explanation : (2) Twelve cubes will have two colours red and green in their two sides.
Explanation : (2) Twelve cubes will have two colours red and green in their two sides.
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Q3. 
I. The length, breadth and height gf a rectangular piece of wood are 4 cm, 3 cm and 5 cm. respectively. II. Opposite sides of 5 cm. x 4 cm. are coloured in red colour. III. Opposite sides of 4 cm. x 3 cm. are coloured in blue. IV. Rest 5 cm. x 3 cm. Are coloured in green in both sides. V. Now the piece is cut in such way that a cuboid of 1 cm. x 1 cm. X 1 cm. will be made. How many cuboids shall have not any colour? (1) (2) 2 (3) 4 (4) 6 (5) None of these 
1)  No any  2)  2 
3)  4  4)  6 
5)  None of these 
Answer : 6
Explanation : Answer: (4) The six inside cubes will have no face coloured.
Explanation : Answer: (4) The six inside cubes will have no face coloured.
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Q4. 

1)  8  2)  10 
3)  12  4)  14 
5)  None of these 
Answer : 8
Explanation : The cubes located at the eight corners would have all the three colours.
Explanation : The cubes located at the eight corners would have all the three colours.
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Q5. 

1)  127  2)  178 
3)  218  4)  279 
5)  None of these 
Answer : 218
Explanation : The number of cubes whose at least one face is painted = One face painted + two face painted + three face painted = One face visible + two face visible + three face visible = Total  (No face visible) = 343  125 = 218
Explanation : The number of cubes whose at least one face is painted = One face painted + two face painted + three face painted = One face visible + two face visible + three face visible = Total  (No face visible) = 343  125 = 218
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Q6. 

1)  27  2)  64 
3)  125  4)  216 
5)  None of these 
Answer : 125
Explanation : The number of cubes where no face is painted = The number of cubes who one face is visible
Explanation : The number of cubes where no face is painted = The number of cubes who one face is visible
= (a  2)^{3} = (7  2)^{3 }= 125.
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Q7.  Direction : A cube is painted red and all its faces and is then divided into 343 equal cubes.How many cubes will have one face painted ? 
1)  112  2)  148 
3)  150  4)  162 
5)  None of these 
Answer : 150
Explanation : The number of cubes whose one face is painted = The number of cubes who one face is visible = 6 (a  2)^{2} = 6 (7  2)^{2} = 150
Explanation : The number of cubes whose one face is painted = The number of cubes who one face is visible = 6 (a  2)^{2} = 6 (7  2)^{2} = 150
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Q8. 

1)  45  2)  50 
3)  56  4)  60 
5)  None of these 
Answer : 60
Explanation :
Explanation :
Since, the cube is divided into 343 equal cubes i.e. (7)3 equal cubes, assume the edge length of the cube to be 7, (a = 7). This is done using the idea of unit cubes. (A cube of edge length a unit can be divided into a^{3} unit cubes)
The number of cubes whose two faces are painted = The number of cubes whose two faces are visible = 12 (a  2) = 12 (7  2) = 60
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Q9. 

1)  0  2)  4 
3)  8  4)  16 
5)  None of these 
Answer : 8
Explanation :
Explanation :
Since the cube is divided into 343 equal cubes i.e. (7)3 equal cubes, assume the edge length of the cube to be 7, (a = 7). This is done using the idea of unit cubes. (A cube of edge length a unit can be divided into a^{3} unit cubes)
The number of cubes whose three face are painted is equal to the number of cubes whose three faces are visible. (Since only those faces which are visible can be painted).
Hence, the number is 8.
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Q10. 
Directions : Study the following information and answer the questions given below. 
1)  4  2)  8 
3)  16  4)  20 
5)  None of these 
Answer : 16
Explanation :
Explanation :
Number of cubes with black and green colours are 8. Remaining cubes = 24  8 = 16
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