# Geometry (Bank-PO Quantitative-Aptitude): Questions 20 - 24 of 81

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## Question number: 20

» Geometry » Heights and Distances

### Question

A boy was staring at the top of a tower making an elevation of 60 degree from his eye. He then start moving away from the tower such that the distance between the boy and the tower is now 30 m and the angle of elevation becomes 45 degree. Find the height of the tower and the initial distance of the boy from the tower

### Choices

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

a. | 30 m, 10 | |

b. | 30 m, 30 | |

c. | 10 m, 30 | |

d. | 10 m, 10 |

## Question number: 21

» Geometry » Circles, Chords and Tangents

### Question

The area of a sector of a circle is 8.75 cm sq with radius as 5 cm. Find the length of the arc of sector.

### Choices

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

a. | 3 cm | |

b. | 3.5 cm | |

c. | 4 cm | |

d. | 4.5 cm |

## Question number: 22

» Geometry » Polygons

### Question

The length of a square is increased by 10 % and breadth decreased by 10%. What is the change in area of the square?

### Choices

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

a. | 0.01 % decrease | |

b. | 0.01 % increase | |

c. | 1 % decrease | |

d. | 1 % increase |

## Question number: 23

» Geometry » Quadrilaterals » Parallelogram

### Question

A triangle and a parallelogram are constructed on a same base such that the altitude of the parallelogram is 200 cm and that of triangle is 400 cm. Find the relation between their areas.

### Choices

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

a. | Area of triangle > Area of parallelogram | |

b. | No relation can be made out | |

c. | Area of triangle = Area of parallelogram | |

d. | Area of triangle < Area of parallelogram |

## Question number: 24

» Geometry » Circles, Chords and Tangents

### Question

If the radius of the circle is reduced by half what will be the change in the area?

### Choices

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

a. | 50 % increased | |

b. | 75 % reduced | |

c. | 75 % increased | |

d. | 50 % reduced |