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  • Question
  • A large field of 700 hectares is divided into two parts. The difference of the areas of the two parts is one-fifth of the average of the two areas. What is the area of the smaller part in hectares?


  • Options
  • A. 315
  • B. 385
  • C. 415
  • D. 485

  • Correct Answer
  • 315 

    Explanation

    Let the areas of the two parts be x and (700-x) hectares

    therefore,  x - 700 - x = 1 5 x + 700 - x 2

      ? 2 x - 700 = 70

      ? x = 385

    So, the two parts are 385 and 315.

     Hence, Area of the smaller = 315 hectares


  • Area problems


    Search Results


    • 1. Four circular cardboard pieces, each of radius 7cm are placed in such a way that each piece touches two other pieces. The area of the space encosed by the four pieces is

    • Options
    • A. 12
    • B. 32
    • C. 42
    • D. 52
    • Discuss
    • 2. In measuring the sides of a rectangle, one side is taken 5% in excess and the other 4% in deficit. Find the error percent in the area, calculate from the those measurements.

    • Options
    • A. .7%
    • B. 0.8%
    • C. 0.9%
    • D. 0.3%
    • Discuss
    • 3. The altitude drawn to the base of an isosceles triangle is 8 cm and the perimeter is 32 cm. Find the area of the triangle.

    • Options
    • A. 24
    • B. 48
    • C. 60
    • D. 72
    • Discuss
    • 4. The length of a rectangle is 10 cm more than the breadth. Find the diagonal length of rectangle if perimeter is 44 cm ?

    • Options
    • A. 12.50 cm
    • B. 14.21 cm
    • C. 15.98 cm
    • D. 17.08 cm
    • Discuss
    • 5. In an old Palace there are 50 stairs to go on top floor. Each is 20 cm high, 30 cm wide and 60 cm long. If all the stairs are re-plastered at the rate of Rs. 4 per 100 sq.cm. What is the expenditure ?

    • Options
    • A. Rs. 4680
    • B. Rs. 7600
    • C. Rs. 6000
    • D. Rs. 5480
    • Discuss
    • 6. If length of each side of a rhombus PQRS is 8 cm and ?PQR = 120°, then what is the length (in cm) of QS?

    • Options
    • A. 4?5
    • B. 6
    • C. 8
    • D. 12
    • Discuss
    • 7. The diagonal of the floor of a rectangular closet is 7 12 feet. The shorter side of the closet is 4 12 feet. What is the area of the closet in square feet?

    • Options
    • A. 9
    • B. 18
    • C. 27
    • D. 36
    • Discuss
    • 8. If a square and a rhombus stand on the same base, then the ratio of the areas of the square and the rhombus is:

    • Options
    • A. 1:1
    • B. 1:2
    • C. 1:3
    • D. 1:4
    • Discuss
    • 9. A rectangular plot measuring 90 meters by 50 meters is to be enclosed by wire fencing. If the poles of the fence are kept 5 meters apart. How many poles will be needed?

    • Options
    • A. 65m
    • B. 45m
    • C. 55m
    • D. 56m
    • Discuss
    • 10. The length of a rope in meter by which a cow must be tethered in order that she may be able to graze an area of 2826 sq.m is ?

    • Options
    • A. 15 mts
    • B. 30 mts
    • C. 24 mts
    • D. 36 mts
    • Discuss


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