In a triangle ABC, AB + BC = 12 Cm,   BC + CA = 14 cm and CA +

Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

51.

The radius of a cylinder is 10 cm and height is 4 cm. The number of centimetres that may be added either to the radius or to the height to get the same increase in the volume of the cylinder is

  • 5

  • 4

  • 25

  • 25

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52.

If a solid cone of volume 27 straight pi space cm cubed is kept inside a hollow cylinder whose radius and height are that of the cone, then the volume of water needed to fill the empty space is

  • 3 straight pi space cm cubed
  • 18 straight pi space cm cubed
  • 54 straight pi space cm cubed
  • 54 straight pi space cm cubed
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53.

In a triangle ABC, AB + BC = 12 Cm,   BC + CA = 14 cm and CA + AB = 18 cm. Find the radius of the circle (in cm) which has the same perimeter as the triangle.

  • 5 over 2
  • 7 over 2
  • 9 over 2
  • 9 over 2


B.

7 over 2

AB + BC = 12    ...(i)
BC + CA = 14    ...(ii)
CA + AB = 18    ...(iii)
therefore space space space 2 left parenthesis AB space plus space BC space plus space CA right parenthesis space equals space 12 plus 14 plus 18
therefore space space space 2 left parenthesis AB space plus space BC space plus space CA right parenthesis space equals space 44
rightwards double arrow space space space space AB space plus space BC space plus space CA space equals space 22
As perimeter of circle equals perimeter of triangle
therefore space space space space 2 πr space equals space space 22
rightwards double arrow space space space 2 space cross times space 22 over 7 space cross times space straight r space equals space 22
rightwards double arrow space space space straight r space equals space 7 over 2 cm

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54.

A playground is in the shape of a rectangle. A sum of ₹ 1,000 was spent to make the ground usable at the rate of 25 paise per sq. m. The breadth of the ground is 50 m. If the length of the ground is increased by 20 m, what will be the expenditure in rupees at the same rate per sq. m.?

  • 1,250

  • 1,000

  • 1,500

  • 1,500

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55.

Two cm of rain has fallen on a square km of land. Assuming that 50% of the raindrops could have been collected and contained in a pool having a 100 m x 10 m base, by what level would the water level in the pool have increased?

  • 1 km

  • 10 m

  • 10 cm

  • 10 cm

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56.

A cylindrical can whose base is horizontal and is of internal radius 3.5 cm contains sufficient water so that when a solid sphere is placed inside, water just covers the sphere. The sphere fits in the can exactly. The depth of water in the can before the sphere was put is

  • 35 over 3 space cm
  • 17 over 3 space cm
  • 7 over 3 space cm
  • 7 over 3 space cm
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57.

The lengths of three medians of a triangle are 9cm, 12cm and 15 cm. The area (in sq. cm) of the triangle is

  • 24

  • 72

  • 48

  • 48

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58.

The height of a circular cylinder is increased six times and the base area is decreased to one-ninth of its value. The factor by which the lateral surface of the cylinder increases is

  • 2

  • 1 half
  • 2 over 3
  • 2 over 3
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59.

The volume of a right circular cone is 1232 cm3 and its vertical height is 24 cm. Its curved surface area is

  • 154 cm2

  • 550 cm2

  • 604 cm2

  • 604 cm2

211 Views

60.

A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and 26 cm. The area of the circle is open square brackets Take space straight pi space equals space 22 over 7 close square brackets

  • 125 cm2

  • 230 cm2

  • 550 cm2

  • 550 cm2

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