No you are not eligible to apply for engineer entrance examination organized by Indian Space Research Organization after passing Statistics Honors with 40% marks . you must have 65% marks in B tech or BE degree course .

Indian Space Research Organization conducted the engineer entrance examination for various posts :

Eligibility:
The applicant should have completed BE/B.Tech or equivalent in First Class with an aggregate minimum of 65% marks from a well recognized university

Age limit:
age must be between the 21 to 30 years .
relaxation of age as per government rules.


Engineering entrance test syllabus:
Syllabus for ECE:
Physical Electronics, Electron Devices and ICs
Signals and Systems
Network Theory
Electromagnetic Theory
Analog Electronic Circuits
Digital Electronic Circuits
Control Systems
Communication Systems
Microwave Engineering
Computer Engineering

Syllabus for CSE:
Theory of Computation
Digital Logic
Computer Organization and Architecture
Programming and Data Structures
Algorithms
Compiler Design
Operating System
Databases
Computer Networks

Syllabus for MECHANICS:
Engineering Mathematics
Applied Mechanics and Design
Fluid Mechanics and Thermal Sciences
Manufacturing and Industrial Engineering

Syllabus for EEE:
Basic Electrical Technology
Circuit Theory
Electromagnetic Fields
Electrical Machines I
Power Systems Analysis
Power Systems Analysis
Control Engineering
Control Engineering
Electrical Machines II
Power Systems Operation and Control
Power Systems Operation and Control
Power Electronics
Power Electronics
Power System Protection
High Voltage Engineering
Industrial Drives
Industrial Drives - Power Electronics
Embedded Systems
Embedded Systems
Intelligent Systems and Control
Industrial Automation and Control
Industrial Automation and Control
Illumination Engineering
Illumination Engineering
Industrial Instrumentation
Industrial Instrumentation
Chaos, Fractals & Dynamic Systems
Energy Resources & Technology
Non-Conventional Energy Systems
Numerical Analysis
Power System Generation, Transmission and Distribution (Encapsulated from earlier Video)
Networks Signals and Systems
Networks and Systems
Digital Integrated Circuits
Analog ICs
Dynamics of Physical Systems
Estimation of Signals and Systems
Digital Signal Processing