Model Question Paper CET Physics - WIT Solapur

149. If a, b, c are constants such that a and c are of opposite signs and r is the correlationcoefficient between x and y, then the correlation coefficient between ax + b and cy + d isA. (a/c)r B. r C. - r D. (c/a)r150. From a deck of 52 cards, the probability of drawing a court card isA. 3/13 B. 1/4 C. 4/13 D. 1/13151. A binomial probability distribution is symmetrical if p, the probability of success in a singletrial, isA. > 1/2 B. < 1/2 C. < q, where q = 1 - p D. = 1/2152. The binomial distribution whose mean is 10 and S.D. is 2√2 isA. (4/5 + 1/5) 50 B. (4/5 + 1/5) 1/50 C. (4/5 + 5/1) 50 D. none of the above153. tan (cot -1 x) is equal toA. π/4 - x B. cot (tan -1 x) C. tan x D. none of the above154. If f(x) is an odd periodic function withperiod 2, then f(4) equalsA. - 4 B. 4 C. 2 D. 0155. The function f(x) = [(x 3 + x 2 - 16x + 20)]/(x - 2) is not defined for x = 2. In order to makef(x) continuous at x = 2, f(2) should be defined asA. 0 B. 1 C. 2 D. 3156. Let f and g be differentiable functions satisfying g'(a) = 2, g(a) = b, and fog = 1 (identityfunction). Then f'(b) is equal toA. 0 B. 2/3 C. 1/2 D. none of the above157. A cone of maximum volume is inscribed in a given sphere. Then the ratio of the height ofthe cone to the diameter of the sphere isA. 3/4 B. 1/3 C. 1/4 D. 2/3158. The function is decreasing in the intervalA. - ∞ < x < -10/3 B. 0 < x < ∞ C. -3 < x < 3 D. -10/3 < x < 0159. Suppose that f''(x) iscontinuous for all x and tf'(t) dt = 0,f(0) = f'(1). Ifthen the value of f(1) isA. 3 B. 2 C. 9/2D. none ofthe above160. Integrating factor of differential equation cos x (dy/dx) + y sin x = 1 isA. sin x B. sec x C. tan x D. cos x