geometry
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geometry questions with answers

26 multiple-choice questions. Open any question for its answer and explanation.

  1. Two cubes, each of volume 125 cm are joined end to end. The surface area of the resulting cuboid is :
  2. What is the internal angle between two sides of a regular pentagon ?
  3. A cyclist goes 30 km to the North and then turning to the East he goes 40 km. Again, he turns to his right and goes 20 km. After this he turns to his right and goes 40 km. How far is he from his starting point ?
  4. The surface area of a cube is 216 sq. m. What is its volume?
  5. Which of the following figures has the longest perimeter ?
  6. Rajesh goes 20 km towards South. After this he goes 10 km after turning to his left. In the end after turning to his left he goes 20 km. How far and in which direction is he from his starting point?
  7. A man walks 1 km towards East, then turns to South and walks 5 km. Again, he turns to East and walks 2 km, then he turns to North and walks 9 km. How far is he now from hisstarting place ?
  8. If a circle and a square have the same perimeter,then
  9. What is the degree of angle between the two hands of a clock when time is 3 : 30 ?
  10. If one of the angles of a triangle is 100°, then the angle between the angle bisectors of other angles is
  11. The dimensions of a rectangular block are 3 cm, 4 cm and doubled, the ratio between the volume of old and new block will be
  12. In the given figure if PQR is an isosceles triangle and PSR is an equilateral triangle and x = 26° then the value of y(in degrees) will be
  13. Roopali walks 10 m in front and 10 m to the right. Then every time turning to left she walks 5, 15 and 15 m, respectively. How far is she from her starting point ?
  14. In the following figure the triangle represents men, the rectangle represents employed ones and the circle represents doctors. Which is the area of the figure that represents men doctors who are not employed?
  15. A point is selected at random inside a rectangle and perpendiculars are drawn on each side of the rectangle from the point. The total length of these perpendiculars is 40 cm. If one side of the rectangle is3 times the other, what will be the area of the rectangle ?
  16. Taking the four vertices of a square as centres, four circles of equal diameter are drawn in such a way that each circle touches two other circles, as shown in the figure below :
  17. A point is selected at random inside a rectangle and perpendiculars are drawn on each side of the rectangle from the point. If the sum of these perpendiculars is 32 cm, then the perimeter of the rectangle will be
  18. How many squares and triangles are there in the following figure?
  19. What is the degree of the angle between hour and minute hands of a clock at 7 hours 15 minutes ?
  20. The diagonals of a rhombus are of length 24 cms and 10 cms. The perimeter of the rhomus is
  21. At time 1.10 pm the angle between two arms of a clock is
  22. Point E is 15 meter North to point D. Point F is 20 meter North to point C. Point A is 35 meter East to point F. Point P is 25 meter South to point A. Point E is 20 meter East to point P. If point X is 20 meter South to point C, then what is the total distance between point X and point D ?
  23. Which one of the following is a one dimensional figure?
  24. A path of uniform width of 2.5 m runs outside a square field all around. What will be the length of the side of the square field, if the area of the path is 625 sq. m?
  25. The ratio of volumes of two spheres, whose radii are in the ratio 1 : 2, is :