# Mathematics-Basic Geometry (NTSE Stage-2 (National-Level) Scholastic-Aptitude & Language Comprehension): Questions 5 - 9 of 23

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## Question number: 5

» Mathematics » Basic Geometry

### Question

All the arcs in following diagram are semicircles. This diagram shows two paths connecting A to B. Path I is the single large semi-circle and Path II consists of the chain of small semi-circles.

### Choices

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

a. | Path I is shorter than Path II | |

b. | Path I is of the same length as Path II, only if the number of semi circles is not more than 4
| |

c. | Path I is of the same length as Path II | |

d. | Path I is longer than path II |

## Question number: 6

» Mathematics » Basic Geometry

### Question

Which of the following polygons are uniquely determined when all the sides are given?

### Choices

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

a. | Quadrilateral | |

b. | Pentagon | |

c. | Triangle | |

d. | Hexagon |

## Question number: 7

» Mathematics » Basic Geometry

### Question

Suppose you walk from home to the bus stand at 4 km/h and immediately return at x km/h. If the average speed is 6 km/h then x is

### Choices

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

a. | 12 km/h | |

b. | 8 km/h | |

c. | Cannot be determined unless the distance from home to bus stand is known. | |

d. | 10 km/h |

## Question number: 8

» Mathematics » Basic Geometry

### Question

If one angle of a regular polygon be , then number of sides of the polygon is

### Choices

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

a. | 24 | |

b. | 27 | |

c. | 36 | |

d. | 6 |

## Question number: 9

» Mathematics » Basic Geometry

### Question

Two circles with different radius in which the circumference of second circle is x times and area of second circle is twice of the first circle. Then, the value of x is

### Choices

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

a. |
| |

b. | 2 | |

c. |
| |

d. | 1 |