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Do you know how I find the syllabus of the entrance exam of the ISI please give me information about it and have you any more information about this if you have please tell me and can you tell me about its official website from which I can get more information about this. Ok, as you want the syllabus of M.S.(QE) of ISI Entrance Exam so here I am providing you. ISI Entrance Exam M.S.(QE) syllabus Algebra: Binomial Theorem, AP, GP, HP, Exponential, Logarithmic Series, Sequence, Permutations and Combinations, Theory of Polynomial Equations (up to third degree). Matrix Algebra: Vectors and Matrices, Matrix Operations, Determinants. Calculus: Functions, Limits, Continuity, Differentiation of functions of one or more variables. Unconstrained Optimization, Definite and Indefinite Integrals: Integration by parts and integration by substitution, Constrained optimization of functions of not more than two variables. Elementary Statistics: Elementary probability theory, measures of central tendency; dispersion, correlation and regression, probability distributions, standard distributions - Binomial and Normal. 1. Let f(x) = 1−x 1+x, x 6= −1. Then f(f( 1 x)), x 6= 0 and x 6= −1, is (A) 1, (B) x, (C) x2, (D) 1 x. 2. The limiting value of 1.2+2.3+...+n(n+1) n3 as n → ∞ is, (A) 0, (B) 1, (C) 1/3, (D) 1/2. 3. Suppose a1, a2, . . . , an are n positive real numbers with a1a2 . . . an = 1. Then the minimum value of (1 + a1)(1 + a2) . . . (1 + an) is (A) 2n, (B) 22n, (C) 1, (D)None of the above. 4. Let the random variable X follow a Binomial distribution with parameters n and p where n(> 1) is an integer and 0 < p < 1. Suppose further that the probability of X = 0 is the same as the probability of X = 1. Then the value of p is (A) 1 n, (B) 1 n+1 , (C) n n+1 , (D) n−1 n+1. 5. Let X be a random variable such that E(X2) = E(X) = 1. Then E(X100) is (A) 1, (B) 2100, 2 (C) 0, (D) None of the above. 6. If _ and _ are the roots of the equation x2 − ax + b = 0, then the quadratic equation whose roots are _ + _ + __ and __ − _ − _ is (A) x2 − 2ax + a2 − b2 = 0, (B) x2 − 2ax − a2 + b2 = 0, (C) x2 − 2bx − a2 + b2 = 0, (D) x2 − 2bx + a2 − b2 = 0. 7. Suppose f(x) = 2(x2 + 1 x2 ) − 3(x + 1 x) − 1 where x is real and x 6= 0. Then the solutions of f(x) = 0 are such that their product is (A) 1, (B) 2, (C) -1, (D) -2. 8. Toss a fair coin 43 times. What is the number of cases where number of ‘Head’> number of ‘Tail’? (A) 243, (B) 243 − 43, (C) 242, (D) None of the above. 9. The minimum number of real roots of f(x) = |x|3 + a|x|2 + b|x| + c, where a, b and c are real, is (A) 0, (B) 2, (C) 3, (D) 6. 10. Suppose f(x, y) where x and y are real, is a differentiable function satisfying the following properties: 3 (i) f(x + k, y) = f(x, y) + ky; (ii) f(x, y + k) = f(x, y) + kx; and (iii) f(x, 0) = m, where m is a constant. Then f(x, y) is given by (A) m + xy, (B) m + x + y , (C) mxy, (D) None of the above. 11. Let I = 343 R2 {x − [x]}2dx where [x] denotes the largest integer less than or equal to x. Then the value of I is (A) 343 3 , (B) 343 2 , (C) 341 3 , (D) None of the above. 12. The coefficients of three consecutive terms in the expression of (1+x)n are 165, 330 and 462. Then the value of n is (A) 10, (B) 11, (C) 12, (D) 13. 13. If a2 + b2 + c2 = 1, then ab + bc + ca lies in (A) [ 1 2 , 1], (B) [−1, 1], (C) [−1 2 , 1 2 ], (D) [−1 2 , 1] . 14. Let the function f(x) be defined as f(x) = |x−4|+|x−5|. Then which of the following statements is true? (A) f(x) is differentiable at all points, 4 (B) f(x) is differentiable at x = 4, but not at x = 5, (C) f(x) is differentiable at x = 5 but not at x = 4, (D) None of the above. 15. The value of the integral 1 R0 x R0 x2exydxdy is (A) e, (B) e 2 , (C) 1 2 (e − 1), (D) 1 2 (e − 2). 16. Let N = {1, 2, . . .} be a set of natural numbers. For each x ∈ N, define An = {(n + 1)k, k ∈ N}. Then A1 ∩ A2 equals (A) A2, (B) A4, (C) A5, (D) A6. 17. lim x→0{1 x (√1 + x + x2 − 1)} is (A) 0, (B) 1, (C) 1 2 , (D) Non-existent. 18. The value of _n 0_ + 2_n 1_ + 3_n 2_ + . . . + (n + 1)_n n_ equals (A) 2n + n2n−1, (B) 2n − n2n−1, (C) 2n, (D) 2n+2. Here I am attaching a pdf file of M.S.(QE) question paper. Last edited by Aakashd; June 11th, 2019 at 11:36 AM. |
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Re: ISI Entrance Exam Syllabus
As you are looking for the syllabus of ISI entrance result, hereby I am providing you a PDF file with the complete syllabus. It contains the following:- Foundations of information Science Information Sources, communication Media, Information Systems and Programmes. Information Processing and Organization Information Transfer and Dissemination Information Technology and its Applications Information System/Centre Planning and Management Research Methods, Bibliometrics / Informetrics and Scientometrics
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