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Area problems


  • 1. The least number that must be subtracted from 1294 so that the remainder when divided by 9, 11, 13 will leave in each case the same remainder 6 is:

  • Options
  • A. 2
  • B. 3
  • C. 1
  • D. 4
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  • 2. The length of a rectangle is increased by 25%. To maintain the same area, the breadth has to be decreased by

  • Options
  • A. 20%
  • B. 25%
  • C. 30%
  • D. 40%
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  • 3. Area of 4 walls of a cuboid 400 sq cm, its length is 15 cm and height is 8 cm. What is its breadth (in cm)?

  • Options
  • A. 12
  • B. 20
  • C. 24
  • D. 10
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  • 4. ?ABC is similar to ?PQR. If ratio of perimeter of ?ABC : perimeter of ?PQR is 5:9 and if PQ = 45 cm, then the length of AB (in cm) is?

  • Options
  • A. 15
  • B. 20
  • C. 25
  • D. 16
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  • 5. D and E are points on side AB and AC of ?ABC. DE is parallel to BC. If AD:DB = 2:5 and area of ?ABC is 98 cm sq, what is the area (in sq cm) of quadrilateral BDEC?

  • Options
  • A. 90
  • B. 98
  • C. 94
  • D. 86
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  • 6. If the parallel sides of a trapezium are 8 cm and 4 cm, M and N are the mid points of the diagonals of the trapezium, then length of MN is

  • Options
  • A. 12 cm
  • B. 6 cm
  • C. 1 cm
  • D. 2 cm
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  • 7. An equilateral triangle of side 6 cm is inscribed in a circle. Then radius of the circle is

  • Options
  • A. 2?3 cm
  • B. 3?2 cm
  • C. 4?3 cm
  • D. ?3 cm
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  • 8. ?ABC is an isosceles right angled triangle having ?C = 90°. If D is any point on AB, then AD2+ BD2 is equal to

  • Options
  • A. CD2
  • B. 2CD2
  • C. 3CD2
  • D. 4CD2
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  • 9. ABCDEF is a regular hexagon of side 12 cm. What is the area (in cm2) of the triangle ECD?

  • Options
  • A. 18?3
  • B. 24?3
  • C. 36?3
  • D. 42?3
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  • 10. All sides are congruent in a _____.

  • Options
  • A. Rectangle
  • B. Parallelogram
  • C. Rhombus
  • D. Kite
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