### Reasoning

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

##### Q11. | Directions : Study the following information and answer the questions given below. a. A rectangular wooden block is having length 6 cms, breadth 4 cms and-height 1 cm. b. Both sides having dimensions 4 cm x 1 cm are painted in-black colour. c. Both sides having dimensions 6 cm x 1 cm are painted in red colour. d. Both sides with dimensions 6 cm x 4 ,cm are painted in green colour. e. The block is cut into six equal parts of 1 cm, each (from 6 cm side) and into 4 equal parts of 1 cm each (from 4 cm side).
How many cubes will be formed ? |

1) | 4 |
2) | 8 |

3) | 12 |
4) | 24 |

5) | None of these |

**Answer : 24 **

**Explanation : **Total number of cubes = 6 x 4 = 24

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##### Q12. | Directions : Study the following information and answer the questions given below.
a. A rectangular wooden block is having length 6 cms, breadth 4 cms and-height 1 cm. b. Both sides having dimensions 4 cm x 1 cm are painted in-black colour. c. Both sides having dimensions 6 cm x 1 cm are painted in red colour. d. Both sides with dimensions 6 cm x 4 ,cm are painted in green colour. e. The block is cut into six equal parts of 1 cm, each (from 6 cm side) and into 4 equal parts of 1cm each (from 4 cm side).
How many cubes will have all three colours black, green and red each at least on one side? |

1) | 2 |
2) | 4 |

3) | 8 |
4) | 12 |

5) | None of these |

**Answer : 4 **
**Explanation : **Questions on rectangular block are to be proceeded in the same way as the questions on cube. But one important point-length, breadth and height are different in rectangular block.

Cubes with three colours will obviously be lying at the corner of the given rectangular block. Since there are lour corners so the number of such cubes will be 4.

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##### Q13. | A cube of size 3 cms whose opposite faces have been painted green, red and blue respectively and the cube is cut into smaller cubes of size 1 cm each.
Find out the number of smaller cubes with no face painted. |

1) | 1 |
2) | 2 |

3) | 4 |
4) | D.I |

5) | None |

**Answer : 1 **

**Explanation : **The cube of this category will be one in number and located in the centre of the cube.

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##### Q14. | A cube of size 3 cms whose opposite faces have been painted green, red and blue respectively and the cube is cut into smaller cubes of size 1 cm each.
Find out the number of smaller cubes with one face painted. |

1) | 4 |
2) | 6 |

3) | 8 |
4) | 12 |

5) | None of these |

**Answer : 6 **

**Explanation : **The cubes of category (ii) with one face painted will be those lying in the centre of each face and this will be six in number.

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##### Q15. | A cube of size 3 cms whose opposite faces have been painted green, red and blue respectively and the cube is cut into smaller cubes of size 1 cm each. Find out the number of smaller cubes with three faces painted. |

1) | 8 |
2) | 12 |

3) | 24 |
4) | 30 |

5) | None of these |

**Answer : 8 **
**Explanation : **The cubes of category (i) will obviously be those lying at the corners of the given cube. Since there are eight corners, the number of such cubes will be 8.

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