- This is an assessment test.
- To draw maximum benefit, study the concepts for the topic concerned.
- Kindly take the tests in this series with a pre-defined schedule.

## Geometry and Mensuration: Level 2 Test 8

Start

Congratulations - you have completed

*Geometry and Mensuration: Level 2 Test 8*.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 a circle of radius 17 cm, two parallel chords are drawn on opposite sides of a diameter. The distance between the chords is 23 cm. If length of one chord is 16 cm, then the length of the other is

A | 15 cm |

B | 23 cm |

C | 30 cm |

D | 34 cm |

Question 1 Explanation:

Let half the length of one chord = 16/2 = 8 cm.

Thus one part of the perpendicular distance of the chord is 15 cm (by Pythagoras theorem)

The other part is 23-15 = 8 cm

Thus half the length of the other chord = 15 cm (by Pythagoras theorem)

Thus the length of the other radius = 2X 15= 30 cm

Correct option is (c)

Question 2 |

If the area of a square inscribed in a circle is 15 cm

^{2}, then the area of the square inscribed in a semicircle of the same circle, in cm^{2}, isA | 5 |

B | 6 |

C | 7.5 |

D | √50 |

Question 3 |

Diameter of a cylindrical jar is increased by 25%, By what percent must the height be decreased so that there is no change in its volume?

A | 18% |

B | 25% |

C | 32% |

D | 36% |

Question 3 Explanation:

The diameter is increased by 25% and thus the radius has increased by 25%

i.e. 5/4 of the previous length.

The volume is a function of square of the radius and height.

Thus the height should decrease by 16/25 = 36%.

i.e. 5/4 of the previous length.

The volume is a function of square of the radius and height.

Thus the height should decrease by 16/25 = 36%.

Question 4 |

The sides of a triangle are 5, 12 and 13 units. A rectangle is constructed, which is equal in area to the triangle, has a width of 10 units. Then, the perimeter of the rectangle is:

A | 30 units |

B | 36 units |

C | 13 units |

D | None of these |

Question 4 Explanation:

Sides of the triangle = 5,12,13

We can say that it is right angled triangle with length 12 , hypotenuse 13 and height 5

So the area of the triangle = ½ x 12 x 5 = 30

Acc. to question

A rectangle is constructed, which is equal in area to the triangle, has a width of 10 units.

Therefore

Length x 10 = 30

Length = 3

Therefore the perimeter of the triangle = 2(l+b) = 2(13 ) = 26 units

We can say that it is right angled triangle with length 12 , hypotenuse 13 and height 5

So the area of the triangle = ½ x 12 x 5 = 30

Acc. to question

A rectangle is constructed, which is equal in area to the triangle, has a width of 10 units.

Therefore

Length x 10 = 30

Length = 3

Therefore the perimeter of the triangle = 2(l+b) = 2(13 ) = 26 units

Question 5 |

For a triangle, base is 6√3cm and two base angles are 30

^{o}and 60^{o}. Then height of the triangle isA | $ \displaystyle 3\sqrt{3}$ |

B | $ \displaystyle 4.5$ |

C | $ \displaystyle 4\sqrt{3}$ |

D | $ \displaystyle 2\sqrt{3}$ |

Once you are finished, click the button below. Any items you have not completed will be marked incorrect. Get Results

There are 5 questions to complete.

← | List | → |

Return

Shaded items are complete.

1 | 2 | 3 | 4 | 5 |

End |

Return

You have completed

questions

question

Your score is

Correct

Wrong

Partial-Credit

You have not finished your quiz. If you leave this page, your progress will be lost.

Correct Answer

You Selected

Not Attempted

Final Score on Quiz

Attempted Questions Correct

Attempted Questions Wrong

Questions Not Attempted

Total Questions on Quiz

Question Details

Results

Date

Score

Hint

Time allowed

minutes

seconds

Time used

Answer Choice(s) Selected

Question Text

All done

Need more practice!

Keep trying!

Not bad!

Good work!

Perfect!