CONTENTS
- MATHEMATICAL OPERATION
- ARTIHMETICAL REASONING
- MATRIX BASED REASONING
- STATEMENT AND CONCLUSIONS
- CUBE AND DICE
- COMPLETION OF FIGURE
- FIGURE FORMATION AND ANALYSIS
- PAPER CUTTING AND FOLDING
- VISUAL REASONING
- MIRROR AND WATER IMAGE
- EMBEDDED FIGURE
- NON-VERBAL SERIES
What is a cube?
A cube is three dimensional figure whose length, breadth and height are equal and any two adjacent faces are inclined to each other at 90°. It has 6 faces, 8 corners and 12 edges.
- Corners of the cube are A, B, C, D, E, F, G and H.
- Edges of the cube are AB, BE, EF, AF, AD, CD, BC, EH, CH, GH, DG and FG.
- Faces of the cube are ABCD, EFGH, CDGH, BCHE, ABEF and ADFG.
When a cube is painted on all of its faces with any colour and further divided into various smaller cubes of equal size, we get following results:
- Smaller cubes with no face painted will present inside faces of the undivided cube.Â
- Smaller cubes with one face painted will present on the faces of the undivided cube.Â
- Smaller cubes with two faces painted will present on the edges of undivided cube.Â
- Smaller cubes with three faces painted will present on the corners of the undivided cube.
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Layer I or top layer: The central cube has only one face coloured, four cubes at the corner have three faces coloured and the remaining 4 cubes have two faces coloured.
Layer II or middle layer: The central cube has no face coloured, the four cubes at the corner have two faces coloured and the remaining 4 cubes have only face coloured.
Layer III or bottom layer: The central cube has only one face coloured, four cubes at the corner have three faces coloured and the remaining 4 cubes have two faces coloured
Also, if n = no. of divisions on the faces of cube = (Length of the edge of undivided cube)/(Length of the edge of one smaller cube)
Then,
- Number of smaller cubes with no face painted = (n – 2)3
- Number of smaller cubes with one face painted = (n – 2)2 × 6
- Number of smaller cubes with two faces painted = (n – 2) × 12
- Number of smaller cubes with three faces painted = 8
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VISUALIZATIONÂ
Visual intelligence measures the ability to process visual material and to employ both physical and mental images in thinking. As a result people with a high visualization find it easier to comprehend information and communicate it to others. Your visualization skills determine how well you perceive visual patterns and extract information for further use. Visualization also facilitates the ability to form associations between pieces of information something which helps improve long term memory.
Mirror Images
In this category questions are based on the criteria that a few figures are given and you have to find out which one is the exact image of the given figure in a mirror placed in front of it. This image formation is based on the principle of ‘lateral inversion’ which implies that size of the image is equal to the size of the object but both sides are interchanged. The left portion of the object is seen on the right side and right portion of the object is seen on the left side. For example, mirror image of ATI = ITA
Note: There are ‘11’ letters in English Alphabet which have identical mirror images: A, H, I, M, O, T, U, V, W, X, Y.
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