Numerical and Logical Aptitude

Paper Code: 
25GSAS220
Credits: 
4
Contact Hours: 
60.00
Max. Marks: 
100.00
Objective: 

This course will enable the students to

develop their conceptual understanding of numerical aptitude, arithmetical ability and logical, conceptual, mathematical reasoning & ability.

 

Course Outcomes: 

Course

 

Course Outcomes

Learning and Teaching Strategies

Assessment Strategies

 Course Code

Course Title

24GSAS 220

Numerical and Logical Aptitude

(Theory)

 
  1.   Analyze and compile the  mathematical knowledge and skills  acquired.
  2. Develop logical and problem- solving ability. Be able to adapt problem-solving and logical skills
  3. Construct the core skills associated with critical thinking, logically sound and well-reasoned arguments.
  4. Estimate the difference between deductive and inductive reasoning.
  5. Analyze the various fallacies that can arise through the misuse of logic.
  6. Contribute effectively in course- specific interaction.

Approach in

teaching:  Interactive

Lectures, discussion,

tutorials, reading assignments; solving questions.

 

Learning activities for the students: Self- learning assignments, effective questions, giving tasks.

Class test, unit end examinations, quiz, solving problems in assignments.

 

12.00
Unit I: 
Numerical Aptitude
  • Simplification
  • Number System
  • Squares & Roots
  • Cubes & Roots
  • Decimals & Fractions
  • Indices & Surds
  • LCM & HCF
  • Ratio & Proportion
  • Percentage
  • Profit & Loss
  • Discount
  • Simple Interest

 

12.00
Unit II: 
Arithmetical Ability
  • Compound Interest
  • Average
  • Speed Distance & Time
  • Train
  • Boats & Stream
  • Time & Work
  • Pipes & Cisterns
  • Logarithms
  • Partnership
  • Alligation & Mixture
  • Sequence & Series

 

12.00
Unit III: 
LOGICAL REASONING
  • Puzzle Test
  • Logical Venn Diagrams
  • Syllogism
  • Logical Arrangement of Words
  • Statement Conclusion
  • Statement Assumption
  • Statement Argument
  • Statement Course of Actions

 

12.00
Unit IV: 
CONCEPTUAL REASONING ABILITY
  • Alphabet Test
  • Coding Decoding
  • Ranking Test
  • Sitting Arrangement
  • Direction Sense
  • Blood Relation
  • Analogy
  • Classification

 

12.00
Unit V: 
MATHEMATICAL REASONING ABILITY
  • Number Series
  • Letter Series
  • Calendar
  • Clock
  • Mathematical Operation
  • Missing Numbers
  • Cubes & Dice
  • Age and Arithmetical Problems

 

Essential Readings: 
  1. Mathematics by R.D. Agarwal
  2. Arithmetics by James Edgar Thompson
  3. Reasoning by R.S. Agarwal

 

References: 
  1. Doe Fundamentals Handbook of Mathematics Vol. 1
  2. Doe Fundamentals Handbook of Mathematics Vol. 2
e-Resources:
  1. https://epathshala.nic.in/
  2. https://egyankosh.ac.in/

 

Academic Year: 
2025-2026
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