Angle, Triangle and Clock Problems

  1. The angle 27° is
    (A) Right angle
    (B) Acute angle
    (C) Obtuse angle
    (D) Straight angle
  2. The angle 145° is
    (A) Acute angle
    (B) Reflex angle
    (C) Obtuse angle
    (D) Right angle
  3. The complement of 38° is
    (A) 42°
    (B) 52°
    (C) 62°
    (D) 72°
  4. The supplement of 127° is
    (A) 37°
    (B) 43°
    (C) 53°
    (D) 63°
  5. At 7 o’clock, the smaller angle between the hands of a clock is
    (A) 120°
    (B) 135°
    (C) 150°
    (D) 180°
  6. In 20 minutes, the minute hand of a clock turns through
    (A) 60°
    (B) 90°
    (C) 120°
    (D) 180°
  7. In 2 hours 30 minutes, the hour hand of a clock turns through
    (A) 60°
    (B) 75°
    (C) 90°
    (D) 120°
  8. The reflex angle between the hands of a clock at 2 o’clock is
    (A) 120°
    (B) 180°
    (C) 210°
    (D) 240°
  9. A triangle with sides 5 cm, 5 cm and 5 cm is
    (A) Scalene
    (B) Isosceles
    (C) Equilateral
    (D) Right
  10. A triangle with sides 4 cm, 7 cm and 9 cm is
    (A) Scalene
    (B) Isosceles
    (C) Equilateral
    (D) Right
  11. The angles of a triangle are in the ratio 2 : 3 : 4. The largest angle is
    (A) 40°
    (B) 60°
    (C) 80°
    (D) 100°
  12. In a right triangle, one acute angle is 28°. The other acute angle is
    (A) 52°
    (B) 62°
    (C) 72°
    (D) 82°
  13. In triangle PQR, ∠P = x°, ∠Q = 2x°, ∠R = 3x°. The value of x is
    (A) 20°
    (B) 25°
    (C) 30°
    (D) 35°
  14. Two angles are complementary. One angle is 34°. The other angle is
    (A) 44°
    (B) 46°
    (C) 54°
    (D) 56°
  15. Two angles are supplementary. One is 117°. The other angle is
    (A) 53°
    (B) 63°
    (C) 73°
    (D) 83°
  16. The minute hand of a clock moves from 3 to 7. Through how many degrees does it turn?
    (A) 90°
    (B) 120°
    (C) 180°
    (D) 240°
  17. The hour hand of a clock moves from 2 to 5. The angle turned is
    (A) 60°
    (B) 75°
    (C) 90°
    (D) 120°
  18. In a triangle, two angles are 48° and 63°. The third angle is
    (A) 59°
    (B) 61°
    (C) 69°
    (D) 71°
  19. The angles of a triangle are in the ratio 1 : 2 : 3. The smallest angle is
    (A) 20°
    (B) 30°
    (C) 40°
    (D) 60°
  20. A quadrilateral has three angles 95°, 80° and 110°. The fourth angle is
    (A) 55°
    (B) 65°
    (C) 75°
    (D) 85°
  21. In ΔABC, ∠A = 40° and ∠B = 5x°. If ∠C = 3x°, then x is
    (A) 10°
    (B) 12°
    (C) 15°
    (D) 20°
  22. Two supplementary angles are in the ratio 2 : 7. The smaller angle is
    (A) 20°
    (B) 30°
    (C) 40°
    (D) 50°
  23. The difference between two complementary angles is 22°. The larger angle is
    (A) 34°
    (B) 45°
    (C) 56°
    (D) 61°
  24. In a triangle, two angles are 35° and 75°. The exterior angle at the third vertex is
    (A) 110°
    (B) 120°
    (C) 130°
    (D) 140°
  25. The minute hand of a clock turns through 54° in some time. The time passed is
    (A) 9 minutes
    (B) 12 minutes
    (C) 15 minutes
    (D) 18 minutes
  26. At 4 o’clock, the smaller angle between the hour and minute hands is
    (A) 90°
    (B) 120°
    (C) 150°
    (D) 180°
  27. The sides of a triangle are 6 cm, 7 cm and 9 cm. The perimeter of the triangle is
    (A) 20 cm
    (B) 21 cm
    (C) 22 cm
    (D) 23 cm
  28. The angles of a quadrilateral are 85°, 95° and 120°. The fourth angle is
    (A) 40°
    (B) 50°
    (C) 60°
    (D) 70°
  29. The three angles of a triangle are in the ratio 3 : 4 : 5. The largest angle is
    (A) 60°
    (B) 75°
    (C) 90°
    (D) 100°
  30. Two supplementary angles are in the ratio 2 : 7. The smaller angle is
    (A) 20°
    (B) 30°
    (C) 40°
    (D) 50°
  31. The difference between two complementary angles is 22°. The larger angle is
    (A) 34°
    (B) 45°
    (C) 56°
    (D) 61°
  32. In a triangle, two angles are 35° and 75°. The exterior angle at the third vertex is
    (A) 110°
    (B) 120°
    (C) 130°
    (D) 140°
  33. The minute hand of a clock turns through 54° in some time. The time passed is
    (A) 9 minutes
    (B) 12 minutes
    (C) 15 minutes
    (D) 18 minutes
  34. At 4 o’clock, the smaller angle between the hour and minute hands is
    (A) 90°
    (B) 120°
    (C) 150°
    (D) 180°
  35. The sides of a triangle are 6 cm, 7 cm and 9 cm. The perimeter of the triangle is
    (A) 20 cm
    (B) 21 cm
    (C) 22 cm
    (D) 23 cm
  36. The angles of a quadrilateral are 85°, 95° and 120°. The fourth angle is
    (A) 40°
    (B) 50°
    (C) 60°
    (D) 70°
  37. The three angles of a triangle are in the ratio 3 : 4 : 5. The largest angle is
    (A) 60°
    (B) 75°
    (C) 90°
    (D) 100°
  38. Two complementary angles are in the ratio 4 : 5. The smaller angle is
    (A) 20°
    (B) 32°
    (C) 36°
    (D) 40°
  39. Two supplementary angles are in the ratio 3 : 2. The larger angle is
    (A) 72°
    (B) 90°
    (C) 108°
    (D) 120°
  40. In a triangle, one angle is 3 times another. The third angle is 30°. The smallest angle is
    (A) 20°
    (B) 25°
    (C) 30°
    (D) 35°
  41. The minute hand of a clock moves from 12 to 5. The angle turned is
    (A) 120°
    (B) 150°
    (C) 180°
    (D) 210°
  42. The hour hand moves from 6 to 9. The angle turned is
    (A) 60°
    (B) 75°
    (C) 90°
    (D) 120°
  43. In a quadrilateral, three angles are 70°, 95° and 115°. The fourth angle is
    (A) 60°
    (B) 70°
    (C) 80°
    (D) 90°
  44. The sides of a triangle are 8 cm, 11 cm and 13 cm. The perimeter is
    (A) 30 cm
    (B) 31 cm
    (C) 32 cm
    (D) 33 cm
  45. The angles of a triangle are in the ratio 5 : 6 : 7. The middle (second) angle is
    (A) 40°
    (B) 60°
    (C) 72°
    (D) 84°

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