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Area problems

  • 1. In triangle PQR, C is the centroid. PQ = 30 cm, QR = 36 cm and PR = 50 cm. If D is the midpoint of QR, then what is the length (in cm) of CD?

  • Options
  • A. (4?86)/3
  • B. (2?86)/3
  • C. (5?86)/3
  • D. (5?86)/2
    • Discuss
  • 2. In the given figure, 3 semicircles are drawn on three sides of triangle ABC. Ab = 21 cm, BC = 28 cm and AC = 35 cm. What is the area (in sq.cm) of the shaded part?

  • Options
  • A. 588
  • B. 324
  • C. 294
  • D. 286
    • Discuss
  • 3. In the given figure, PQRSTU is a regular hexagon of side 12 cm. What is the area (in sq.cm) of triangle SQU?

  • Options
  • A. 162√3
  • B. 216√3
  • C. 108√3
  • D. 54√3
    • Discuss
  • 4. In the given figure, O is the centre of the circle and QOR = 50 deg, then what is the value of RPQ (in deg)?

  • Options
  • A. 15
  • B. 20
  • C. 25
  • D. 30
    • Discuss
  • 5. Two identical hemispheres of maximum possible size are cut from a solid cube of side 14 cm. The bases of the hemispheres are part of the two opposite faces of cube. What is the total volume (in cm3) of the remaining part of the cube?

  • Options
  • A. 1556.33
  • B. 898.5
  • C. 1467.33
  • D. 1306.67
    • Discuss
  • 6. ?GHI is similar to ?KLM. If the ratio of Perimeter of ? GHI : Perimeter of ?KLM = 1:4, and length of GH is 2 cm, what is the length of the corresponding side KL?

  • Options
  • A. 4 cm
  • B. 8 cm
  • C. 32 cm
  • D. 16 cm
    • Discuss
  • 7. In ?ABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and AE are 8 cm, 4 cm and 12 cm respectively, what is the length of AC?

  • Options
  • A. 6 cm
  • B. 18 cm
  • C. 9 cm
  • D. 15 cm
    • Discuss
  • 8. A cone of radius 3.5 cm and height 27 cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius 2.1 cm. What will be the height of water in this vessel? (Take ? = 22/7)

  • Options
  • A. 50 cm
  • B. 25 cm
  • C. 12.5 cm
  • D. 37.5 cm
    • Discuss
  • 9. A missile travels at 1278 km/h. How many metres does it travel in one second?

  • Options
  • A. 355 metres
  • B. 358 metres
  • C. 345 metres
  • D. 313 metres
    • Discuss
  • 10. The areas of a circle and square are equal. What is the square of the ratio of length of diameter to the length of diagonal?

  • Options
  • A. 11/7
  • B. 7/9
  • C. 7/11
  • D. 9/7
    • Discuss

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