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## Geometry and Mensuration: Level 2 Test 10

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*Geometry and Mensuration: Level 2 Test 10*.You scored %%SCORE%% out of %%TOTAL%%.You correct answer percentage: %%PERCENTAGE%% .Your performance has been rated as %%RATING%% Your answers are highlighted below.

Question 1 |

In the given figure, AB is diameter of the circle and points C and D are on the circumference such that CAD= 30

^{o }and CBA= 70^{o}. What is the measure of ACD?A | 40 ^{o} |

B | 50 ^{o} |

C | 30 ^{o} |

D | 90 ^{o} |

Question 1 Explanation:

Question 2 |

The length of a rectangular field is double its width. Inside the field, there is a square-shaped pond 8 m long. If the area of the pond is 1/8 of the area of the field, what is the length of the field?

A | 32 m |

B | 16 m |

C | 64 m |

D | 20 m |

Question 2 Explanation:

The area of the pond = 8X8 = 64 sq. m.

The area of the field = 8 X 64 = 512 sq. m.

The length = $\left\{ 2\times \sqrt{\left( \frac{512}{2} \right)} \right\}=32$

The correct option is (a).

The area of the field = 8 X 64 = 512 sq. m.

The length = $\left\{ 2\times \sqrt{\left( \frac{512}{2} \right)} \right\}=32$

The correct option is (a).

Question 3 |

Two small circular parks of diameters 16 m, 12 m are to be replaced by a bigger circular park. What would be the radius of this new park, if the new park occupies the same space as the two small parks?

A | 10m |

B | 20m |

C | 15m |

D | 25m |

Question 3 Explanation:

The area of the smaller parks = Π8

Πr

r = 10

^{2}+ Π6^{2}= 22/7(100)Πr

^{2}=100r = 10

Question 4 |

A garden is 24 m long and 14 m wide. There is a path 1 m wide outside the garden along its sides. If the path is to be constructed with square marbles tiles 20 cm x 20 cm, find the number of tiles required to cover the path.

A | 1800 |

B | 2000 |

C | 200 |

D | 2150 |

Question 4 Explanation:

The area of the path = (24+2x1)(14+2x1) -24x14 = 80 sq. m.

The total number of times = (80 x 10000)/400 = 2000

The correct option is (b)

The total number of times = (80 x 10000)/400 = 2000

The correct option is (b)

Question 5 |

A rectangular plate is of 6 m breadth and 12 m length. Two apertures of 2 m diameter each and one aperture of 1 m diameter have been made with the help of a gas cutter. What is the area of the remaining portion of the plate?

A | 68.5 sq. m |

B | 62.5 sq. m |

C | 65 sq. m |

D | None of these |

Question 5 Explanation:

The area of the plate = 12x6 = 72 sq. m.

The total area of the triangle = Π x 1

= (2+0.25)Π = 2.25Π = 7.07 m

Remaining area = 72 -7.07 = 64.9

Closest option is (c)

The total area of the triangle = Π x 1

^{2}x 2 + Π x 0.5^{2}= (2+0.25)Π = 2.25Π = 7.07 m

^{2}Remaining area = 72 -7.07 = 64.9

Closest option is (c)

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