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Alka Paunikar
Parle Tilak Vidyalaya, Mumbai

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Mathematics 1. If log xy = 100 and log2x = 10, then the value of y is: (A) 21000 (B) 2100 2000 (D) 210000 (C) 2 cm, then radius of the circle is (A) 3 cm (B) 2 cm (C) 4 cm (D) 8 cm 11. 2. Find the unit digit of (795 358) (A) 6 (B) 4 (D) None of these (C) 3 In a ABC, C = 3 B = 2( A+ B). Find the three angles. (A) 20 , 40 , 120 (B) 60 , 20 , 100 (C) 120 , 20 , 40 (D) 10 , 40 , 130 3. 12. Find the value of the trigonometric expression A s income is 25% more than B's income B's income in terms of A s income is: (A) 75% (B) 80% (C) 90% (D) 96% 5. The pair of equations has = 3 81, = 81 3 x+y x y (A) no solution (B) the 1 1 solution = x 2= , y 2 2 2 (C) The solution x = 2, y = 2 1 8 (D) the solution = x 2= , y 1 7 8 6. The equation has: x +1+ x 1 = 0 (A) one real solution (B) two real solution (C) No solution (D) None of these 7. If the equation has x 2 2kx 2x + k 2 = 0 equal roots, the value of k must be 1 (A) zero (B) either zero or 2 1 1 1 (C) (D) either or 2 2 2 8. The area of triangle whose vertices are (a, c+a), (a, c) and (a, c-a) are (A) a (B) b (C) c (D) a +c 9. The points (0,-1), (-2,3), 6, 7) and (8,3) are (A) Collinear (B) vertices of a parallelogram which is not a rectangle (C) vertices of a rectangle, which is not a square (D) None of these 10. ABC is a right-angle triangle, right angled at A. A circle is inscribed is t. The lengths of the two sides containing the right angle are 6 cm and 8 (A) 0 (C) 1/3 3 (B) 3 3 (D) 1 13. If a cot + b cosec = p and b cot + a cosec q, then p2-q2 is equal to: (A) a2 b2 (B) b2 a2 2 2 (C) a + b (D) b a = 14. The score of 10 students of a class test is given as 44, 54, 46, 63, 55, 42, 34, 48, 70, 38 calculate the median: (A) 48 (B) 46 (C) 47 (D) 49 15. If the mean and median of a set of numbers are 8.9 and 9 respectively, then the mode will be (A) 7.2 (B) 8.2 (C) 9.2 (D) 10.2 16. A bulb is taken out at random from a box of 600 electric bulbs that contains 12 defective bulbs. Then the probability of a non-defective bulb is (A) 00.2 (B) 0.98 (C) 0.50 (D) None The area of the four wall of a room is 660m2 and length is twice the breath, the height being 11m. Find area of the ceiling. (A) 100 m2 (B) 150 m2 2 (C) 200 m (D) 250 m2 17. 18. The curved surface (area) of right circular cone of radius 11.3 cm is 355 cm2. What is the slant height of the cone? ( = 22/7) (A) 8 cm (B) 10 cm (C) 12 cm (D) 14 cm 19. A man standing on the bank of the river observes

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