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Mensuration

Important Instructions
61.

If the parallel sides of a parallelogram are 2 cm apart and their sum is 10 cm then its area is:

Answer: B

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62.

If radius is 18 cm and angle at center of circle is 120° then area of sector is

Answer: B

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Answer: A

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64.

Quadrilateral whose four vertices are lied on circumference of circle is called

Answer: C

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65.

Considering radian, value of sin 1.9 is

Answer: C

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66.

Largest part of circle divided by chord is called

Answer: D

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67.

Value of tan π⁄7 considering radian is

Answer: C

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68.

A man walks entirely around his semi-circular garden. What is the area of his garden, if he walks 324m?
 

Answer: B

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69.

A trapezium based prism with two parallel sides 8 cm and 14 cm respectively and distance between two parallel sides is 8 cm. Find the height of the prism if the volume of the prism is 1056 cm⊃3; ? 

Answer: D

Volume of the prism = 1056 cm⊃3;
WKT, Volume of prism = Base x Height
Base area = Area of trapezium
Area of trapezium = (1/2)(a + b)*h = (1/2)[8 + 14]*8
= (1/2)*22* 8 = 88 cm⊃2;

Volume of prism = (Area of trapezium) x Height
1056 = 88 * height
Height of prism = 12 cm.

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70.

The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles.

Answer: C

Let the radii of the smaller and the larger circles be s m and l m respectively. 

2∏s = 264 and 2∏l = 352 

s = 264/2∏ and l = 352/2∏ 

Difference between the areas = ∏l⊃2; - ∏s⊃2; 

= ∏{176⊃2;/∏⊃2; - 132⊃2;/∏⊃2;} 

= 176⊃2;/∏ - 132⊃2;/∏ 

= (176 - 132)(176 + 132)/∏ 

= (44)(308)/(22/7) = (2)(308)(7) = 4312 sq m

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