31. ABC is an isosceles triangle right-angled at C. The side AB is equal to:
Ans (a) AC * sqrt(2)
32. Five years ago, A was thrice as old as B and ten years later A shall be twice as old as B, then the present age of A is:
Ans (b) 50
33. If the mean of frequency distribution is 7.5 and Sigma*f_{k}*x_{j} = 120 + 3k and Sigma*f_{i} = 3c , then k is equal to:
Ans (b) 35
34. In a cylinder, if the radius is doubled and the height is halved then the curved surface area will be:
Ans (c) same
35. Two dice are rolled together. The probability of getting an even number on both the dice is.
Ans (c) 1/4
36. In the given figure, O is the centre of the circle. The area of the sector APB is 5/18 * of the area of the circle. The value of x is:
Ans (d) 100°
37. The maximum volume of a cone that can be carved out of a solid of radius “r” is:
Ans (b) (pi * r ^ 3)/3
38. If*alpha, beta are the roots of the quadratic equation x^ 2 -P(x+1)+C=0. then( alpha+1)( beta+1)=?
Ans (d) 1+C
39. If the numbers a, b, c, d, e form an AP, then the value of a – 4b + 6c – 4d + e is
Ans (c) 0
40. All squares are________
Ans (b) similar
41. Line formed by joining (- 1, 1) * and(5, 7) is divided by a line x+ y = 4 in the ratio of:
Ans (c) 1:2
42. The ratio of the length of a rod and its shadow is 1 / (sqrt(3)) . The angle of elevation of the sun is:
Ans (a) 30 degrees
43. A circle is inscribed in a quadrilateral ABCD in which angle B=90 degrees. If AD = 23cm43.AB = 29 cm and DS = 5cm then the radius of the circle is:
Ans (b) 11
44. If P( a 3 A) is the midpoint of the line segment joining the points 2(- 6, 5) and then the value of “a” is:P(- 2, 3)
Ans (b) -12
45. If x = 1 is a common root of the equations a * x ^ 2 + ax + 3 = 0 and x ^ 2 + x + b = 0 then ab=?
Ans (b) 3