Name of the Organisation : Sri Sathya Sai Institute of Higher Learning
Exam : SSSIHL B.Ed. Admission Test
Degree : B.Ed.
Subject : Mathematics
Document Type : Model Question Paper
Website : https://www.sssihl.edu.in/
Download Model Question Paper : https://www.pdfquestion.in/uploads/25435-Mathematics.pdf
SSSIHL B.Ed. Mathematics Admission Test Question Paper
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Admission to B.Ed. programme of the Institute will be based on the performance in admission test and interview.
Important Instructions
i) Answer the following questions in the space provided.
ii) Please write your Application Id and name on the Answer sheets.
iii) Choose the correct answer and WRITE IN CAPITAL LETTER viz., A, B, C, D or E for the multiple choice questions. Each MCQ carries one mark and there will be negative marking for each wrong answer.
iv) Write detailed answer as required for other questions.
v)There will be negative marking for all multiple choice questions.
vi) Model Test Papers are available on the university’s website – sssihl.edu.in
Sample Questions
Choose the correct alternative out of the following.
1. If R is the relation on A = {1,2,3} given by (1,1) (2,2) (3,3) then R is
a) reflexive
b) not reflexive
c) symmetric
d) transitive
2. Which of the following is correct?
a) Any two square matrices can be multiplied
b) Any two square matrices of order n can be multiplied
c) Any two unit matrices can be multiplied
d) Any two diagonal matrices can be multiplied
6. If Sin–1 x + Sin–1 (2x) = 2?/3 then 4×2 – 4x is equal to
a) –1
b) 1
c) 0
d) –2
7. The equation of two circles are x2 + y2 – 4x –2y + 1 = 0 and x2 + y2 – 4x –4y – 8= 0. The circles are such that
a) the radius of one is 4 times the other
b) they intersect at real point
c) one circle lies inside the other
d) they touch each other externally
8. What is the minimum force required to move a body of weight W placed on a rough horizontal surface?
a) W Cot
b) W Tan
c) W Sin
d) W Cos
9. f x dx 0 if
a) f(x) is single – valued function
b) f(x) is even function
c) f(x) is analytic function
d) f(x) is an odd function
10. On the curve y2 = ax2 + ax2 (a>0) the origin is
a) ordinary point
b) a conjugate point
c) a cusp
d) a node
11. The cubic Z2 + 3Hz + G = 0, G2 + 4H2 = 0 implies that
a) all equal roots
b) two equal roots
c) no equal root
d) three equal roots
13. If three forces acting on a body are in equilibrium, then the forces are
a) collinear
b) parallel
c) meeting at a point
d) forming a closed triangle
Syllabus
Sets-relations-binary operations-semi groups-groups-subgroups-normal subgroups-homomorphism-Functions permutations permutation groups-cyclic groups-quotient group- automorphism.
Rings-Integral domains-fieldscharacteristic- 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-skewlines– 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-functionsrange- 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-Divisibilityprimes- congruences-solutions ofcongruences- congruences of degree 1; The Euler function O.-Quadratic equations-quadratic expressions-change of sign–roots maximum-minimum values.