ED CET Maths Previous Papers

hii sir, I am preparing for the ED CET Examination will you please provide me the Mathematics syullabus and some sample questions of the Mathematics of the ED CET Examination ?

[Shaleen]

Sri Venkateswara University, Tirupati conducts AP Education Common Entrance Test (APEd.CET) on behalf of the Andhra Pradesh State Council of Higher Education for admission in to B.Ed (Two years) Regular Course in the Colleges of Education in Andhra Pradesh State.

Mathematics Syllabus :

Sets – relations – binary operations – semi groups – groups – subgroups -normal subgroups- homomorphism-Functions permutations permutation groups – cyclic groups – quotient group – automorphism.

Rings – Integral domains – fields – characteristic – homomorphism – Ideals – Prime Ideals – maximal ideals – Rings of permutations – polynomials – polynomial rings.

Vector spaces – linearly independent vectors – Basis – dimension – linear transformation — Null space — Range — Rank of a linear transformation.

Elementary matrix operations – Elementary matrices – Determinants – properties – rank of matrix – inverse of a matrix – Eigen vectors – Eigen values – systems of linear equations.

Three dimensional geometry — Coordinates — distance formula – direction cosines – plane – angle between two planes – perpendicular distance from a point – Equation of a line – skew lines – shortest distance – The sphere – tangent plane power of a point – polar plane and pole – radical plane – coaxial system of spheres – The circle – radius – centre.

Real numbers – properties – functions – range – sequences – series – limits – continuity – differentiability – differentiation – mean value theorems — L’Hospital rules — Integration definite integrals – Reimann integral.

Differential equations – first order and first degree – different forms – Exact differential equations – change of variables – equation of first order but not of first degree – higher order linear differential equations – system of linear differential equations.

Elements of Number theory – Divisibility – primes – congruences – solutions of congruences – congruences of degree 1 The Euler function O.
Quadratic equations – quadratic expressions – change of sign – roots – maximum – minimum values


Sample questions :

1) The square of a natural number never ends in the digit
1) 1 2) 4 3) 9 4) 2

2) The sum of all two digit odd natural numbers is
1) 2475 2) 2450 3) 2420 4) 2480

3) Two circles of equal radii with centres A, B intersect at P and Q. If AB = 6 cm, PQ = 8 cm, then the radius of either circle (in cm) is
1) 10 2) 7 3) 6 4) 5

4) If two dice are thrown simultaneously then the probability of getting a total of 7 is
1) 7/36 2) 1/6 3) 5/36 4) 1/9

5) Suppose H is a subgroup of a group G and has only two left cosets of H in G. Then H is:
1) a cyclic subgroup 2) a normal subgroup
3) an abelian subgroup 4) not a normal subgroup

6) The foot of the perpendicular from the origin to the join of the points (-9, 4, 5) and (11, 0, -1) is:
1) (2,1,2) 2) (2,2,1) 3) (1,2,2) 4) (1,1,2).





rest of the questions you may get the below attachment