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  • Question
  • A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be:


  • Options
  • A. 22
  • B. 23
  • C. 24
  • D. 26

  • Correct Answer
  • 26 

    Explanation
    Let the number of hens be x and the number of cows be y

    Then, x + y = 48 .... (i)

      and 2x + 4y = 140   ⟹   x + 2y = 70 .... (ii)

    Solving (i) and (ii) we get: x = 26, y = 22.

    ∴ The required answer = 26.


  • More questions

    • 1. 
      In ? ABC ,sides BC = 10 cm and height AD = 4.4 cm. If AC = 11 cm. Then altitude BE equals?

    • Options
    • A. 5 cm
    • B. 4 cm
    • C. 5.6 cm
    • D. 5.5 cm
    • Discuss
    • 2. A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is:

    • Options
    • A. 12 pi cub.cm
    • B. 15 pi cub.cm
    • C. 16 pi cub.cm
    • D. 20 pi cub.cm
    • Discuss
    • 3. The radius of a cylindrical milk container is half its height and surface area of the inner part is 616 sq.cm. The amount of milk that the container can hold, approximately, is [ Use : ?5 = 2.23 and ? = 22/7 ]

    • Options
    • A. 1.42 litres
    • B. 1.53 litres
    • C. 1.71 litres
    • D. 1.82 litres
    • Discuss
    • 4. A solid brass sphere of radius 2.1 dm is converted into a right circular cylindrical rod of length 7cm. The ratio of total surface areas of the rod to the sphere is

    • Options
    • A. 3:1
    • B. 1:3
    • C. 7:3
    • D. 3:7
    • Discuss
    • 5. ABCD is a cyclic quadrilateral of which AB is the diameter. Diagonals AC and BD intersect at E. If ?DBC = 35°, Then ?AED measures

    • Options
    • A. 35°
    • B. 45°
    • C. 55°
    • D. 90°
    • Discuss
    • 6. In a triangle ABC, ?A = 70°, ?B = 80° and D is the incentre of ?ABC. ?ACB = 2x° and ?BDC = y°. The values of x and y, respectively are

    • Options
    • A. 15, 130
    • B. 15, 125
    • C. 35, 40
    • D. 30, 150
    • Discuss
    • 7. In a right angled triangle ?DEF, if the length of the hypotenuse EF is 12 cm, then the length of the median DX is

    • Options
    • A. 3 cm
    • B. 4 cm
    • C. 6 cm
    • D. 12 cm
    • Discuss
    • 8. PQ and RS are common tangents to two circles intersecting at A and B. AB, when produced both sides, meet the tangents PQ and RS at X and Y, respectively. If AB = 3 cm, XY = 5 cm, then PQ (in cm) will be

    • Options
    • A. 3 cm
    • B. 4 cm
    • C. 5 cm
    • D. 2 cm
    • Discuss
    • 9. ABCD is a trapezium in which AB is parallel to CD and AB = 4(CD). The diagonals of the trapezium intersects at O. What is the ratio of area of triangle DCO to the area of the triangle ABO?

    • Options
    • A. 1 : 4
    • B. 1 : 2
    • C. 1 : 8
    • D. 1 : 16
    • Discuss
    • 10. In the given figure, ?QRU = 72°, ?TRS = 15°, ?PSR = 95° , then what is the value (in deg) of ? PQR?

    • Options
    • A. 85
    • B. 95
    • C. 75
    • D. 90
    • Discuss


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