General Intelligence and Reasoning Study Material (Part-2) for SSC Junior Engineer Exam - CivilEnggForAll Exclusive

Civil-Engineering-For-All

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.

Cube
  • 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. 
  • Smaller cubes with one face painted will present on the  faces of the undivided cube. 
  • Smaller cubes with two faces painted will present on the  edges of undivided cube. 
  • Smaller cubes with three faces painted will present on the  corners of the undivided cube.
Cube with faces painted

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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.

Top Layer

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.

Middle Layer

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

Bottom Layer

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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VISUALIZATION 

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.

Mirror Images of Capital Letters

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