PATTERN OF QUESTION AND SYLLABUS of JECA - 2014:
There will be two papers the examination:
Part-I :Mathematics (100 marks):
50 MCQS (each bearing 2 marks will have to be answered on OMR sheet provided.
Marking must be made with black/blue ball point pen. 2/3 marks will be deducted
for each wrong answer and marking at more than one option will be considered as
wrong answer.
Time :Two Hours.
Syllabus:
(i) Analytical Geometry: Cartesian and polar coordinate, straight line; circle;
Ellipse: Parabola‘, Hyperbola; Translation & Rotation of axes.
(ii) Algebra : Complex number; De Moivers theorm. Solution of linear
equations, Determinants. Matrices, Summation of signal series. Addition at
vectors, Scalar and Vector products. Inequation. Sets and elements,
Universal set. Empty set. Subsets. Venn diagram, Union and Intersection of
sets. Complements, Algebra of sets, Finite sets, Class of sets, Partitions,
Cross product, Group,Ring and Field.
(iii) Calculus : Limit, Continuity, Differentiation; Maxima & Minima, Taylor & Maclaruin's Series; Definite and Indefinite integrals; First and Second order differential equation; Functions of several variables; Partial differention.
(iv) Probability & Statistics : Permutation, Combination; Probability; Probability distribution; Mean; Median; Mode; Standard Deviation; Correlation coefficient.
Paper -II : Aptitude test (100 marks):
There will be 30 questions of 3 marks each and 10 questions of 1 mark each. For each wrong answer, 1/3rd of the total mark(s) alloted to the question will be deducted. Marking Must be made with black/blue ball point pen. Marking of more than one option for a question will be considered as wrong answer.
All questions will be MCQ type and to be answered in OMR Answer Sheet.
Time : One hour.
Syllabus :
(i) Reasoning. (ii) Problem Solving, (iii) Quantitative Comparison, (iv)Discrete
Quantitative Analysis & (v) Data interpretation.
