Brain Mapping Academy

BMA’s

’s Reaso

nin

g Tra

iner

BM

APlu

s7

TM

Class 7

www.bmatalent.com$ 7

Reasoning Trainer Plus

This book is a part of the curriculum designed for reasoning for classes 1 to 10.

Reasoning and logic skills are an integral part of a wide range of subjects suchas Math, Science, Design and Technology, etc. These skills are also vital in our day today lives.Reasoning Trainer caters to fulfill the above requirement.

This book trains the child's mind to :

� Look at problems with different perspectives through observation, explorationand critical thinking.

� Integrate the application of Math to problem solving.

� Think critically, reason logically and express mathematically.

� Practice, investigate, evaluate and learn with understanding.

� Develop positive attitude towards Mathematics.

This book contains several interesting and investigativeproblems with worked out examples and explanations.

A concerted effort has been made to make learning ofreasoning questions an enjoyable and activeexperience.

Simple, graded and colourful illustrations make theideas more child – friendly.

The catalyst to boost and sharpenlogical thinking and reasoning skills. ` 50

Detailed solutionsfor all problems

of Reasoning Trainer Plusare available in this book

Check this Out!Check this Out!

Brain Mapping Academy

BMA’sTM

Solutions

India’s FIRST scientifically designed portal

for Olympiad preparation

• Olympiad & Talent Exams preparation packages

• •Analysis Reports Previous question papers

• •Free Demo Packages Free Android Mobile App

YOUR

COACH

A unique opportunity to take about 50 tests per subject.

Get 15% discount on all packages by using the discount coupon code: KR157N

Must For AllOlympiads

` 125

www.bmata

lent.c

om

(Free Sam

ple)

Class 7

www.bmata

lent.c

om

(Free Sam

ple)

Published by:

Brain Mapping Academy#16–11–16/1/B, First Floor, Farhath Hospital Road, Saleem Nagar, Malakpet, Hyderabad–500 036. & : 040–66135169, 65165169E-mail: info@bmatalent.comWebsite: www.bmatalent.com

© BRAIN MAPPING ACADEMY ALL RIGHTS RESERVED

The entire concept of Reasoning Curriculum including syllabus, content, style of questions is registered under copyright act.

No part of this book may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise without the prior written permission of the publisher.

Publication Team

Chief Mentor : Srinivas Kalluri

Authors : Y.S. Srinivasu

Design and Typing : Muhammed Irfan Khan

Cover Design : D. Nagendra Raju

ISBN : 978-93-82058-06-9

Disclaimer

Every care has been taken by the compilers and publishers to give correct, complete and updated information. In case there is any omission, printing mistake or any other error which might have crept in inadvertently, neither the compiler / publisher nor any of the distributors take any legal responsibility.

In case of any dispute, all matters are subjected to the exclusive jurisdiction of the courts in Hyderabad only.www.bm

atalen

t.com

(Free Sam

ple)

www.bmata

lent.c

om

(Free Sam

ple)

VERBAL REASONING

NON-VERBAL REASONING

www.bmata

lent.c

om

(Free Sam

ple)

List of useful symbols

VERBAL REASONING

1. Making one word from two ................................. 11 to 13

2. Word formation ..................................................... 14 to 16

3. Insert letter ............................................................. 17 to 19

4. Using letters for numbers ...................................... 20 to 23

5. Puzzle test ............................................................... 24 to 30

6. Letter & Number sequences .................................. 31 to 37

7. Which one is different ? ........................................ 38 to 40

8. Matching Pairs ........................................................ 41 to 46

9. What comes next .................................................... 47 to 51

10. Mathematical Reasoning ..................................... 52 to 63

11. Break the codes .................................................... 64 to 71

12. Direction sense ..................................................... 72 to 79

NON-VERBAL REASONING

Spatial sense ......................................................... 80 to 85

13. Odd one out ......................................................... 86 to 92

14. Analogy ............................................................... 93 to 105

15. Series ................................................................. 106 to 116

16. Mirror Images ................................................... 117 to 129

17. Folded in ........................................................... 130 to 147

Key ................................................................... 148 to 151

www.bmata

lent.c

om

(Free Sam

ple)

8 0

Chapters like Which one is different, Analogy and What

comes next comes under this category.

Let us study some common properties before learning

those chapters.

1 . Manipulation:

In non-verbal reasoning, shapes can be manipulated by:

A. Size B. Transformation C. Addition

D. Subtraction E. Frequency

A. Shapes can increase in size or decrease in size.

(i) Enlargement (ii) Reduction

Transformation:

Shapes can be transformed. This means a shape can be

stretched or squashed, but retains its main characteristics

i.e., the same number of sides and vertices (corners) and

one dimension must remain constant.

Onedimensionremainsconstant

This Kite shapewill still have four

sides and fourvertices afterit has been

transformed. i.e.,stretched or squashed.

1. Stretched 2. Squashed

A Transformationcan involve aStretch in onedirection and a

Squash in anotherdirection.

INTRODUCTION TO SPATIAL SENSE

www.bmata

lent.c

om

(Free Sam

ple)

8 2 Movement :

In non - verbal reasoning, shapes move in these ways.

They can

A. Reflect B. Rotate C. Invert

D. Superimpose E. Transpose

Reflections:

A shape can be reflected across an imaginary mirror line

or line of reflection.

X Y

Shape X is reflected on the other side of the mirror line

to form shape Y.

Rotat ion:

In non - verbal reasoning, shapes can rotate in clockwise

or anti-clockwise direction. To avoid confusion, it is best

to measure the rotation by the shortest route. This will

be either in a clockwise or an anti-clockwise direction

around the 360o turn.

360o

45o

90o

270o

180o

135o

125o

315o

Clockwise

Anti-clockwise

Smaller shapes can rotate around the outside of larger

shapes or on the inside of larger shapes.www.bm

atalen

t.com

(Free Sam

ple)

8 4 Combined vertical and horizontal inversion or flip: This is

180o rotation of the original shape.

Superimposit ion:

In non - verbal reasoning, shapes can be superimposed

onto other shapes. These superimpositions can include a

Merger, an Overlay, A linkage or an Enclosure.

Superimpositions can be indicated with a grey fill to help

with visual clarity and ease of understanding.

Merger:

The second shape merges (crosses over) the first shape.

The integrity (lines) of both shapes are retained. In this

case it is a 90o rotation and inversion of the original shape.

Overlay:

The second shape overlays (is on top of) the first shape.

The original shape is partially covered. In this case it is a

90o rotation of the original shape.

Linkage:

The second shape is linked to (does not cross over) the

first shape. The integrity (lines) of both shapes are kept.

Several shapes can be linked together.

Enclosure:

The second shape is enclosed within the first shape. In

this case a copy of the first shape is reduced in size and

enclosed within the original shape.

Transposit ion:

In non - verbal reasoning, shapes can be transposed or

moved from one position to another, either horizontally

or vertically. Movement to the right or to the left are

horizontal and movements up or down are vertical. Some

transpositions involve both vertical and horizontal

movements i.e., a shape could move up and to the right.

Transpositions are enclosed to show movement.

www.bmata

lent.c

om

(Free Sam

ple)

8 5

1. Horizontal transpositon 2. Vertical transpositon

3. Horizontal and vertical transpositon

Patterns:

Shapes can make patterns in two ways.

A. Repetition B. Cumulation

Repetit ive:

Shapes can be arranged in a repetitive patterns.

The telegraph poles are in a repetitive pattern of one,

two, three, two, one, two, three crossbars etc.

Cumulative:

Shapes can be arranged in a cumulative pattern.

The pentagon shape builds line by line in five stages.

Layering:

Non - verbal reasoning questions are complicated by the

process of layering. Questions can have up to five layers

(or changes) that have to be observed, to find a solution.

Some shapes only have one layer or change.

The segment shape has only received one layer or change.

It has been rotated 180o.

www.bmata

lent.c

om

(Free Sam

ple)

8 6

Objective

To sharpen your ability to distinguish shapes or symbols according

to their common features.

To test your ability to find shapes that are similar or different.

The question types we will look at in this section are often referred

to as �Similarities questions�. They test your ability to work out

which shapes are similar and which are different in a given set of

options.

You need to use your observation skills to compare the given

shapes, symbols and find the visual link or links.

Questions on odd one out are generally from the types given

below.

In verbal reasoning, numbers/letters are joined with certain

mathematical rules.

In non-verbal reasoning, we should consider the factors like

shapes, positions, lines, movements, additions, subtractions,

countings, repetition etc. before solving problems.

Example 1

Identify the odd one out.

(A) (B)

(C) (D)

Answer: (D)

ODD ONE OUT13Chapter

www.bmata

lent.c

om

(Free Sam

ple)

8 7

Explanation:

Function: What does each object do?

All the objects show time.

So, there is no odd one out.

Shape: What is the shape of each object?

Look at the shapes inside and their outlines.

The shapes inside all are two arrows.

The outline of all the shapes are circles.

So, there is no odd one out.

Position: What is the position of each object?

Look at the positions of the shapes inside.

The circles are all in the same position.

The arrows are all in different positions, and all are fixed in the

centre.

So, there is no odd one out.

Angle: What are the angles in each clock?

Look at each angle between the arrows.

(A) right angle = (900) (B) right angle = (900)

(C) right angle = (900) (D) less than a right angle (< 900)

The arrows are always at right angles to each other apart from

the arrows in (D), which are at less than a right angle (i.e, 300) to

each other.

So, (D) is the odd one out.

Now check such that there is no other variable term that could

give answers.

Is there an odd one out?

Number, shading and size do not give answer.

So, the answer is option (D).

www.bmata

lent.c

om

(Free Sam

ple)

8 8Example 2

Find the one which is different from the others.

(A) (B) (C) (D)

Answer: (A)

Explanation:

Shape: What is the shape of each object?

It is a six point star.

Number: What is the total number of triangles in each object?

Total number of triangles = 6

Shade: Are there any filled triangles?

Yes, there are two filled triangles.

In all the figures except (A), the filled triangles are corners of the

same triangle. In option (A), the filled triangles are corners of

different triangles.

Hence, (A) is the odd one out.

www.bmata

lent.c

om

(Free Sam

ple)

8 9

TRY THESE

1. Find out the different figure.

(A) (B) (C) (D)

2. Find out the different figure.

(A) (B) (C) (D)

3. Choose the figure which is different from the rest.

(A) (B) (C) (D)

4. Choose the figure which is different from the rest.

(A) (B) (C) (D)

5. Choose the figure which is different from the rest.

(A) (B) (C) (D)

6. Choose the figure which is different from the rest.4.

(A) (B) (C) (D)

www.bmata

lent.c

om

(Free Sam

ple)

9 0 7. Choose the figure which is different from the rest.

(A) (B) (C) (D)

8. Choose the figure which is different from the rest.

(A) (B) (C) (D)

9. Find out the different figure.

(A) (B) (C) (D)

10. Choose the figure which is different from the rest.

(A) (B) (C) (D)

11. Choose the figure which is different from the rest.

(A) (B) (C) (D)

12. Choose the figure which is different from the rest.

(A) (B) (C) (D)

13. Choose the figure which is different from the rest.

(A) (B) (C) (D)

www.bmata

lent.c

om

(Free Sam

ple)

9 2 21. Choose the figure which is different from the rest.

(A) (B) (C) (D)

22. Choose the figure which is different from the rest.

(A) (B) (C) (D)

23. Choose the figure which is different from the rest.

(A) (B) (C) (D)

24. Which shape is different from the others?

(A) (B) (C) (D)

25. Which shape is different from the others?

(A) (B) (C) (D)

26. Which shape is different from the others?

(A) (B) (C) (D)

27. Which shape is different from the others?

(A) (B) (C) (D)

www.bmata

lent.c

om

(Free Sam

ple)

Brain Mapping Academy

BMA’s

’s Reaso

nin

g Tra

iner

BM

APlu

s7

TM

Class 7

www.bmatalent.com

Reasoning Trainer Plus

This book is a part of the curriculum designed for reasoning for classes 1 to 10.

Reasoning and logic skills are an integral part of a wide range of subjects suchas Math, Science, Design and Technology, etc. These skills are also vital in our day today lives.Reasoning Trainer caters to fulfill the above requirement.

This book trains the child's mind to :

� Look at problems with different perspectives through observation, explorationand critical thinking.

� Integrate the application of Math to problem solving.

� Think critically, reason logically and express mathematically.

� Practice, investigate, evaluate and learn with understanding.

� Develop positive attitude towards Mathematics.

This book contains several interesting and investigativeproblems with worked out examples and explanations.

A concerted effort has been made to make learning ofreasoning questions an enjoyable and activeexperience.

Simple, graded and colourful illustrations make theideas more child – friendly.

The catalyst to boost and sharpenlogical thinking and reasoning skills.

Detailed solutionsfor all problems

of Reasoning Trainer Plus are available in this book

Check this Out!Check this Out!

Brain Mapping Academy

BMA’sTM

Solutions

India’s FIRST scientifically designed portal

for Olympiad preparation

• Olympiad & Talent Exams preparation packages

• •Analysis Reports Previous question papers

• •Free Demo Packages Free Android Mobile App

YOUR

COACH

A unique opportunity to take about 50 tests per subject.

Get 15% discount on all packages by using the discount coupon code: KR157N

Must For AllOlympiads

www.bmata

lent.c

om

(Free Sam

ple)