1. Two circles intersect each other such that the tangents drawn at a point of intersection are mutually perpendicular. What is the length of the line segment of a common tangent between the points where it touches the two circles, if the radii of circles are 10 and 5 respectively? (a) 10 (b) 12 (c)

Directions f0r questions 1 to 20: Answer the questions independently of each other. 1. If 20! = 20 x 19 x 18 x 17 x ……… x  3  x 2 x 1, the maximum power of 3 which will divide 20! is: (a) 5 (b) 6 (c) 7 (d) 8   2. The population of

Directions for questions 1 to 20: Answer the questions independently of each other. 1. Using the principles of reflection of points, find out the equation of the curve that is the reflection of , in the line y = x. (a) (b) (c) (d)   2. A number when divided by 4 gives a number

Directions for questions 1 to 10: Answer the questions independently of each other. 1. A square and rhombus have the same base. If the rhombus is inclined at 60°, find the ratio of area of square to the area of the rhombus, (a) 1 (b) (c) (d) None of these   2. A man’s total

Directions for questions 1 to 15: Answer the questions independently of each other. 1. If , then what is the range for values of x and y for ? (a) -1 < x < 1 ; -1 < y < 1 (b) x < -1; -1 < y < 1 (c) -1 ≤ x <

Directions for questions 1 to 10: Answer the questions independently of each other. 1. There are seven persons — A, B, C, D, E, F and G, standing in a row and three distinct articles P, Q and R are to be given to three people. No three neighbouring persons receive an article, Find the

Directions for questions 1 to 5: Answer the questions independently of each other. 1. in the diagram, ADEH is a rectangle. BG and CF divide the rectangle into three equal parts. HI = IG = GJ = IF = FK = KE. What is the ratio of the area of A DJK to the area

Directions for questions 1 to 5: Answer the questions independently of each other. 1. What is the probability of getting a sum of 7, when two dice are thrown? (a) (b) (c) (d) None of these   2. In a triangle XYZ, XY = YZ = 5 cm. If <Y varies from 60 degrees to

Directions for questions 1 to 4: Answer the questions independently of each other. 1. What is the number of zeros at the end of 150!? (a) 30 (b) 35 (c) 37 (d) 40   2. If x, 2x + 2, 3x + 3, …… are in G.P, then the fourth term is: (a) 27 (b)

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