SSSIHL Admissions Test Mathematics Model Question Paper : Sri Sathya Sai Institute of Higher Learning

Name of the Organisation : Sri Sathya Sai Institute of Higher Learning
Exam : SSSIHL Admissions Test Question Paper
Degree : Undergraduate Programme
Subject : Mathematics
Document Type : Model Question Paper
Website : https://www.sssihl.edu.in/
Download Model Question Paper : https://www.pdfquestion.in/uploads/25055-Mathematics.pdf

SSSIHL Admissions Test Mathematics Question Paper

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Important Instructions

** SHADE the correct Response viz., A, B, C, D or E in the RESPONSE SHEET. Each Question carry ONE mark.
1) Please write/shade Question Paper Code in the box provided in the Essay Sheet and in the Response Sheet.

2) Please do not write on the Question Paper booklet. Blank sheets will be provided on request for rough work.
3) Please NOTE that an incorrect response will attract negative marking.

Mathematics :
Questions: 40
Time : 40 Minutes
Max. Marks 40 x 1 : 40

Sample Questions

Question 1: Which one of the following statements is FALSE ?
(A) In the expansion of (a+b)n, the rth term is (n/r) an-bn
(B) If A and B are square matrices, then det(AB)=det(A).det (B)
(C) In a geometric series, the ratio of any two successive terms is constant
(D) The equation x4+ x2+1 has two real quadratic factors
(E) The inverse of a+b is a2+ b2 + -a2+ b2

Question 2: What are the roots of the equation 12 x3 +16 x2-3x = 0 ?
(A) 0 only
(B) -32/ and 16/ only
(C) 32/ and -16/ only
(D) 0,32/ and -16/
(E) 0,-32/ and 16

Question 3: Which one of the following is TRUE ?
(A) sin150 = -sin30
(B) sin30= 2tan15??1 + 215
(C) sin15 = cosh15
(D)2= 2+ 2-2sin
(E) cos75=sin45cos30-sin30cos45

Question 4: What are the values of A in [0,2A] that satisfy the trigonometric equation sinA+cosB = 0 ?
(A) 54/ and 74/
(B) 34/ and 5??4/
(C) 34/ and 74/
(D) 4/ and 34/
(E) 4/ and 54/

Question 5: Which one of the following expressions is meaningful ?
(A) a . b . c
(B) a × b × c
(C) ab . c
(D) ab × c
(E) a . b × c

Question 6: Which one of the following is FALSE ?
(A) a + b = b + a
(B) a .b = b .a
(C) b × a = a × c
(D) a + 0 = a
(E) a × 0 = 0

Question 7: Given the marks – 20, 10, 0, 12, 13, 10, 5, 10, 0, 20 – obtained by students in a test for 20 marks, which one of the following is FALSE ?
(A) mean marks is 10
(B) median marks is 10
(C) modal marks is 10
(D) range of marks is 10
(E) total number of observations is 10

Question 8 : Two unbiased dice are thrown. What is the probability that the sum of numbers on the dice is 7 ?
(A) 736/
(B) 16/
(C) 536/
(D) 29/
(E) 112/

Question 9: How many 3-digit odd numbers can be formed using the digits 0,1,2,3,6,9 ?
(A) 60
(B) 90
(C) 216
(D) 75
(E) 180

Question 10: What is the slope and the ?? – intercept of the straight line 2??+3??-4 =0, respectively ?
(A) -23/ and 43/
(B) 23/ and 2
(C) 23/ and -43/
(D) -23/ and 2
(E) -23/ and 43/

Question 11: What is the equation of the ellipse with one focus at (1v2 ,0) and one vertex at (0 ,-1) ?
(A) 2×2+3y2 = 3
(B) x2+3y2 = 3
(C) 2×2+3y2 = 1
(D) 2×2+3y2 = 6
(E) 2×2+ y2 = 3

Question 12: Classify r: R->R be defined by f(x)= x2 .
(A) not a function
(B) both one-to-one and onto
(C) one-to-one but not onto
(D) not one-to-one but onto
(E) neither one-to-one and onto

Question 13: What is the derivative of 2×3+6y2+5 with respect to x2+4y-1 ?
(A) 3x
(B) 6×2+12y
(C) 2x
(D) 2x+4
(E) 3y+1

Question 14: If fu (u) x = loglogx, then what is u(x) :
(A) 1x
(B) 1x/log2
(C) 1/x
(D) 1×2
(E) logx

Question 15: Let f R:r be defined by f(x)=vx2-4, then the largest domain in which A is continuous is_____
(A) R
(B) [2,8)
(C)(-8,-2]
(D) (-8,-2][2,8)
(E) [-2,2]

Syllabus :

Algebra and Trigonometry :
Sets, Relations and functions; Complex Numbers; Matrices and Determinants; Quadratic Equations; Permutations and Combinations; Mathematical Induction and its applications; Binomial theorem and its applications; Sequences and Series; Trigonometry.

Calculus :
Differential Calculus; Integral Calculus; Differential Equations.  Two Dimensional Geometry.
Statistics: Measures of Central tendency and Dispersion; Probability.