Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

Advertisement

91.

A copper wire is bent in the shape of a square of area 81 cm2. If the same wire is bent in the form of a semicircle, the radius (in cm) of the semicircle is open parentheses take space straight pi space equals space 22 over 7 close parentheses

  • 16

  • 14

  • 10

  • 7


D.

7

Let the side of a square be x cm
∴                    x2 = 81 cm
⟹                  straight x space equals space square root of 81 space equals space 9 space cm
∴                 Perimeter of a square = 9 x 4 = 36 cm
Now, 
Perimeter of semi-circle = Perimeter of square
therefore space space space space space space πr space plus space 2 straight r space equals space space 36 space
rightwards double arrow space space space space space space straight r open parentheses straight pi space plus 2 close parentheses space equals space 36
rightwards double arrow space space space space space straight r open parentheses 22 over 7 space plus space 2 close parentheses space equals space 36
rightwards double arrow space space space space straight r space cross times space 36 over 7 space equals space 36 space space rightwards double arrow space space space straight r space equals space 7 space cm
     

                   

87 Views

Advertisement
92.

The perimeter of a triangle is 40 cm and its area is 60 cm2. If the largest side measures 17 cm, then the length (in cm) of the smallest side of the triangle is

  • 4

  • 6

  • 8

  • 15

39 Views

93.

A bicycle wheel makes 5000 revolutions in moving 11 km. The diameter of the wheel (in cm) is

  • 35

  • 55

  • 65

  • 70

39 Views

94.

If a wire is bent into the shape of a square, then the area of the square so formed 81 cm2. When the wire is rebent into semicircular shape, then the area (in cm2) of the semi-circle will be open parentheses Use space straight pi space equals space 22 over 7 close parentheses

  • 22

  • 44

  • 77

  • 154

31 Views

Advertisement
95.

At each corner of the triangular filed of sides 26 m, 28 m and 30 m, a cow is tethered by a rope of length 7m. The area (in m2) ungrazed by the cows is

  • 336

  • 259

  • 154

  • 77

41 Views

96.

If the radius of a circle is increased by 50%, its area is increased by

  • 125%

  • 100%

  • 75%

  • 50%

31 Views

97.

A rectangular garden is 100 m x 80 m. There is a path along the garden and just outside it. Width of the path is 10 m. The area of the path is

  • 1900 sq m

  • 2400 sq m

  • 3660 sq m

  • 4000 sq m

30 Views

98.

A rail road curve is to be laid out on a circle. What radius should be used if the track is to change direction by 25° in a distance of 40 m?

  • 91.64 m

  • 90.46 m

  • 89.64 m

  • 93.64 m

30 Views

Advertisement
99.

When a pendulum of length 50 cm oscillates, it produces an arc of 16 cm. The angle so formed in degree measure is (approx.)

  • 18°25'

  • 18°35'

  • 18°20'

  • 18°08'

47 Views

100.

Side AB of rectangle ABCD is divided into four equal parts by points x, y, z. The ratio of the

is

  • 1/6

  • 1/9

  • 1/8

  • 1/7

37 Views

Advertisement