AIEEE Mathametics Level – I

April 8th, 2011 by Nagesh Leave a reply »
01. The median of a set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then median of the new set ?





02. The degree and order of the differential equation of the family of all parabolas whose axis is X-axis, are respectively ?





03. If the system of linear equations
x + 2ay + az = 0
x + 3by + bz = 0
x + 4cy + cz = 0
has a non-zero solution, then a, b, c ?





04. The mean and variance of a random variable X having binomial distribution are 4 and 2 respectively, then P (X = 1) is ?





05.The area of the region bounded by the curves y = |x -1| and y = |3- x| is ?





06. The two lines x = ay + b, z = cy + d and x = a1 y + b1 z = c1 y + d1 will be perpendicular, if and only if ?





07. If x1, x2, x3 and y1, y2, y3 are both in G.P. with the same common ratio, then the points (x1, y1), (x2, y2) and (x3, y3) ?





08. Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is ?





09. The upper 3/4th portion of a vertical pole subtends an angle 1/tan(3/5) at a point in the horizontal plane through its foot and at a distance 40 m from the foot ?





10. The real number x when added to its inverse gives the minimum value of the sum at x equal to ?







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