NRSC Hyderabad Scientific Assistant Paper 2017 – Mathematics
| 1 | Which of the following function is discontinuous at every real number
(a) Greatest integer function (b)) Derichelet function (c) Polynomial function (d) None of these |
| 2 | The inverse of 19 modulo 141 is
(a) 50 (b) 51 (c) 54 (d) 52 |
| 3 | The smallest non-abelian group of order is
(a) 6 (b) 5 (c) 8 (d) 9 |
| 4 | Which of the following is complete ordered field
(a) R (b) C (c) a & b (d) None of these |
| 5 | For constants a and b, the expected value of aX+b is
(a) E(aX+b) = Ax (b) E(aX+b) = b (c) E(aX+b) = aE(X)+b (d) E(aX+b)=aX+E(b) |
| 6 | The mean and Variance of Bionmial distribution b(x:n,p) are 4 and 4/3 respectively. What is the probability of getting 2 successes?
(a) 20 (b) 20/423 (c) 20/242 (d) 1/243 |
| 7 | Negative binomial distribution, nb(x;r,p) for r=1 reduces to –
(a) Binomial distribution (b) Poisson distribution (c) Hypergeometric distribution (d) Geometric distribution |
| 8 | For a normal cuve, the Q.D, M.D and S.D are in the ratio
(a) 5:6:7 (b) 10:12:15 (c) 2:3:4 (d) None of the above |
| 9 | A family of parametric distribution in which mean is equal to variance is –
(a) Bionomial distribution (b) Gamma distribution (c) Normal distribution (d) Poisson distribution |
| 10 | If each observation in the set of Values (X,Y) is divided by 100, the regression coefficient of Y on X is –
(a) increased by 100 (b) decreased by 100 (c) 1/100th of Beta yx (d) None of the above |
| 11 | If a random variable x has mean 3 and standard deviation 5, then, the variance of the variable Y=2X-5 is
(a) 25 (b) 45 (c) 100 (d) 50 |
| 12 | If p=1, the angle between the two lines of regression is
(a) zero degree (b) Ninety degree (c) Sixty degree (d) Thirty degree |
| 13 | A sufficient statistics is minimal if and only if it is a
(a) Minimum sufficient statistics in a sequence of sufficient statistics (b) A function of every other sufficient statistics (c) A function of UMVU estimators (d) All the above |
| 14 | Factorization theorem for sufficiency is known as
(a) Rao-Blackwell theorem (b) Crammer_Rao theorem (c) Chapman_Robins theorem (d) Fisher-Neyman theorem |
| 15 | Level of significance is the probability of
(a) Type I error (b) Type II error (c) Not committing error (d) Any of the above |
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