# Mental Ability-Basic Geometry [NCO- Cyber Olympiad (SOF) Class 10]: Questions 1 - 6 of 57

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## Question 1

### Question

MCQ▾The Volume of a solid metallic sphere is 2512 . It is melted and recast into solid right circular cones of radius 5 cm and height 16 cm. Calculate the number of cones recast.

### Choices

Choice (4) | Response | |
---|---|---|

a. | 9 | |

b. | 6 | |

c. | 8 | |

d. | 7 |

## Question 2

### Question

MCQ▾In the figure drawn below, and are parallel and . What is ?

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |

## Question 3

### Question

MCQ▾The minute hand of a clock is 20 cm long. Find the area of the face of the clock described by the minute hand between 8 AM and 8.35 AM.

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 4

### Question

MCQ▾Calculate the area of the shaded portion. The quadrants shown in the figure are each of radius 14 cm. Take .

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |

## Question 5

### Question

MCQ▾The top of a ladder is leaning against a building at a point 24 feet above the ground; the bottom of the ladder is 10 feet from the building. What is the length of the ladder?

### Choices

Choice (4) | Response | |
---|---|---|

a. | 26 ft | |

b. | 34 ft | |

c. | 14 ft | |

d. | 38 ft |

## Question 6

### Question

MCQ▾The ratio of radii of two cylinders is and heights are in the ratio 3: 5. The ratio of volumes is

### Choices

Choice (4) | Response | |
---|---|---|

a. | 3: 4 | |

b. | 1: 3 | |

c. | 4: 5 | |

d. | 3: 5 |